Latoya bought 8 pounds of potatoes at a local wholesaler for $18. Her friend Herman bought 6 pounds of potatoes at the supermarket for $15. Herman thinks he got the better deal because $15 is less than $18. Use this information for Parts A, B, and C below.

Answers

Answer 1

Answer:

Latoya got a better deal because she paid less than Herman by 25 cents

Step-by-step explanation:

Latoya 18 divided by 8= $2.25

Herman 15 divided by 6= $2.50

So Latoya saves $0.25 cents


Related Questions

NO LINKS!!

Rewrite the logarithm as a ratio of common logarithms and natural logarithms.
log_1/3(4)
a. common logarithms

b. natural logarithms

Answers

Common logarithm is the logarithm with the base 10, it is written as:

log a, lg a or log₁₀ a

Natural logarithm is the logarithm with the base of e and is written as ln a.

How to rewrite a logarithm [tex]log_a\ b[/tex] as a ratio of logarithms with a different base c:

[tex]log_a\ b=log_c\ b\ /\ log_c\ a[/tex]

Apply this to the given logarithm:

a. Common logarithms:

[tex]log_{1/3}\ 4=log\ 4\ /\ log\ (1/3)[/tex]

b. Natural logarithms:

[tex]log_{1/3}\ 4=ln\ 4\ /\ ln\ (1/3)[/tex]

Answer:

[tex]\textsf{a)} \quad \dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}=-\dfrac{\log_{10}4}{\log_{10}3}[/tex]

[tex]\textsf{b)} \quad \dfrac{\ln 4}{\ln \dfrac{1}{3}}=-\dfrac{\ln 4}{\ln 3}[/tex]

Step-by-step explanation:

Given logarithm:

[tex]\log_{\frac{1}{3}}(4)[/tex]

Part (a)

The common logarithm is the logarithm with base 10.

[tex]\boxed{\textsf{Change of base}: \quad \log_ba=\dfrac{\log_xa}{\log_xb}}[/tex]

Use the change of base formula to rewrite the given logarithm as a ratio of common logarithms:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}[/tex]

[tex]\boxed{\begin{minipage}{5cm} \underline{Log quotient law}\\\\$\log_a \left(\dfrac{x}{y}\right)=\log_ax - \log_ay$\\\end{minipage}}[/tex]

This can be simplified using the log quotient rule:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}1-\log_{10}3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{0-\log_{10}3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=-\dfrac{\log_{10}4}{\log_{10}3}[/tex]

Part (b)

The natural logarithm is the logarithm with base e.

[tex]\textsf{Also} \; \log_ex=\ln x[/tex]

Use the change of base formula to rewrite the given logarithm as a ratio of natural logarithms:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{e}4}{\log_{e}\dfrac{1}{3}}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln \dfrac{1}{3}}[/tex]

[tex]\boxed{\begin{minipage}{5cm} \underline{Log quotient law}\\\\$\ln \left(\dfrac{x}{y}\right)=\ln x - \ln y$\\\end{minipage}}[/tex]

This can be simplified using the log quotient rule:

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln \dfrac{1}{3}}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln1 - \ln 3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{0 - \ln 3}[/tex]

[tex]\implies \log_{\frac{1}{3}}(4)=-\dfrac{\ln 4}{\ln 3}[/tex]

Which of the following expressions has the leftmost value on the number line?
A.-7-10 O
B. 7-10
C.10-(-7)
D.10-7

Answers

Answer:

A.-7-100. [Since it is -107]

Keyshawn is asked to compare and contrast the domain and range of two functions F(x)=5x g(x)=5^x which statements could he include in his explanation

Answers

Domain is the input and range is the output of a function. By considering the options The domain of both function is all real number and The range of g(x) >0 are the correct answers.

What is Domain?

Domain is the input of a function.

What is range?

Range is the output of a function.

The domain of both functions is the set of all real numbers, since both functions are defined for all values of x.

The range of the function g(x)=5^x is the set of all positive real numbers, since any positive real number can be obtained by raising 5 to the power of a real number

To learn more about real numbers visit:

https://brainly.com/question/551408

#SPJ1

Suppose the COMBINED area is known to be 0.10416, assume there is equal area on each side. Determine the corresponding Z-scores.A) z=±1.62 B) z=±1.58 C) z=±1.72 D) z=±1.66 E) z=±1.69 F) z=±1.49 G) None of These

Answers

An combined area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.

Every normally distributed random variable has a slightly different distribution shape, the only way to find areas using a table is to standardize the variable - transform our variable so it has a mean of 0 and a standard deviation of 1. How do we do that? Use the z-score!

Z = ( x - μ)/σ

if the random variable X has a mean μ and standard deviation σ,

then transforming X using the z-score creates a random variable with mean 0 and standard deviation 1!

With that in mind, we just need to learn how to find areas under the standard normal curve, which can then be applied to any normally distributed random variable.

An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.

To know more about z-score visit brainly.com/question/15016913

#SPJ4

Every normally distributed random variable has a slightly different distribution shape, the only way to find areas using a table is to standardize the variable - transform our variable so it has a mean of 0 and a standard deviation of 1. How do we do that? Use the z-score!

Z = ( x - μ)/σ

if the random variable X has a mean μ and standard deviation σ,

An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.

There were 616 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $6543.50. How many of each kind of ticket were purchased?

Answers

The number of the tickets purchased for upper reserve is 146 and lower is 470.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that  there were 616 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $6543.50.

The equations will be formed as,

L + U = 616

12.5L + 8U = 6543.5

Solve the above equations,

12.50L + 8 (616-L) = 6543.5

12.5L + 4928 - 8L = 6543.5

12.50L - 8L = 6543.5 - 4428

4.50L = 2118.5

L = 470

U = 616 - 470

U = 146

To know more about an expression follow

https://brainly.com/question/14022646

#SPJ1


A line passes through the point (4, -8) and has a slope of 5/2

Write an equation in slope-intercept form for this line.

help me pls this is due in 30 minutes

Answers

y=5/2x+24

Step-by-step explanation:

use the formula y-y1=m(x-x1)

5/2 symbolizes m

put in 4 for y1 and put in -8 for x1

y-(4)=(5/2)(x-(-8)

y-4=5/2(x+8)

y-4=5/2x+20

y=5/2x+24

Answer:

  y = 5/2x -18

Step-by-step explanation:

You want the slope-intercept equation for the line with slope 5/2 through point (4, -8).

Point-slope form

It can work well to start with the point-slope equation and rearrange it to the desired form.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y -(-8) = 5/2(x -4) . . . . . line with slope 5/2 through point (4, -8)

Slope-intercept form

Add -8 and eliminate parentheses

  y = 5/2x -10 -8

  y = 5/2x -18 . . . . . . . . simplify

The desired equation is y = 5/2x -18.

<95141404393>

At Jalisco Electronics, assemblers are paid according to the following differential piece 4. rate scale: 1–20 units in a day, $4.50 each; 21–30 units, $5.50 each; and $7 each for every
unit over 30. Adrian Ortega assembled 70 units in one week. Find his gross pay.

Answers

The gross pay of Adrian Ortega for assembling 70 units of electronics in a week is $425

What is his gross pay?

Gross pay refers to the total payment earned over a period of time.

1–20 units in a day = $4.50 each21–30 units = $5.50 eachOver 30 units = $7 each

Adrian Ortega assembled 70 units in one week

Pay for 1–20 units = $4.50 × 20

= $90

Pay for 21 - 30 units = $5.50 × 10

= $55

Pay for 30 - 70 = $7 × 40

= $280

Gross pay = $90 + $55+ $280

= $425

Therefore, Adrian Ortega is paid $425 in a week for assembling 70 electronics.

Read more on gross pay:

https://brainly.com/question/13793671

#SPJ1

The table shows the colour of the bicycles in
a bike shed.
Bookwork code: S79 EX
<
< Back
Colour Frequency
Silver
3
Green
1
a) What fraction of the bicycles are silver?
Give your answer in its simplest form.
b) How many sections on this pie chart
would you shade to show the bicycles that
are silver?
✓ Scroll down
Watch video
Answer >

Answers

A fraction of the bicycles which are silver is 3/4.

You should shade three (3) sections on the pie chart to show the number of bicycles that are silver.

What is a pie chart?

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors.

Based on the information provided, we can logically deduce the following parameters;

Number of silver bicycles = 3 silver bicycles.

Number of green bicycles = 1 green bicycles.

Therefore, the total number of bicycles is equal to 4 bicycles.

For the fraction of silver bicycles, we have;

Fraction = 3/4 bicycles.

Read more on pie chart here: brainly.com/question/23608372

#SPJ1

What does MW equal or mean

Answers

The value of MW in the given figure is 5.

What is meant by an angle?

In Euclidean geometry, an angle is a figure made up of two rays that have a shared vertex, also known as a common terminus, and are referred to as the angle's sides. The angles of two rays are situated in the plane containing the rays. An angle is also created when two planes intersect at an angle. These are referred to as dihedral angles. Another technique to define two curves is to specify the angle generated by rays that are tangent to the intersection of two curves. Angle is another word for how long a rotation or angle is.

Given,

In the figure,

PM=MW

It means PM is similar to MW

As given in the figure,

PM=5

Since PM is similar to MW

Then,

MW=5

Therefore, the value of MW in the given figure is 5.

To know more about angle, visit:

https://brainly.com/question/28451077

#SPJ1

What type of number is -560,114?
Choose all answers that apply:
A Whole number
B
C
D
Integer
Rational
Irrational

Answers

Answer:

It is an integer.

It is rational.

Step-by-step explanation:

A whole number is in the set

0, 1, 2, 3...

This set starts at zero and only includes zero and the positive numbers. So the given number is NOT a whole number.

It IS an integer. Integers include positive and negative numbers. That is, whole numbers and their opposites.

The number IS rational. That is, it can be written as a ratio:

-560114/1

Since it is rational, it is not irrational.

please help with this​

Answers

The equation variation for the electric circuit is  V = 25R.

How to find the equation variation of an electric circuit?

In each electric circuit, the voltage in a battery is measured in volt and the resistance in the circuit is measured in ohms.

The voltage, V is directly proportional to the resistance, R. In a given circuit the voltage is 200 volts, when the resistance is 8 ohms.

The equation variation for the circuit can be represented as follows:

V α R

V = kR

where

k = constant of proportionality

Therefore,

voltage = 200 volts

resistance = 8 ohms

200 = 8k

k = 200 / 8

k = 25

Therefore, the equation is V = 25R

learn more on proportional relationship here: https://brainly.com/question/29765554

#SPJ1


Determine which of the lines, if any, are parallel or perpendicular. Explain.
6. Line a passes through (0, 4) and (4, 3).
Line b passes through (0, 1) and (4, 0).
Line c passes through (2, 0) and (4, 4).

Answers

Answer:

Step-by-step explanation:

c 0,4 .01

A service club agrees to donate at least 500 hours of community service. A full member is to give 4 hours, and a pledge gives 6 hours.
(a) Write the inequality that expresses this information.
(b) Graph the inequality.

Answers

(a) 4x + 6y ≥ 500 , (b) The graph of this inequality is a line with a slope of 4/6 and a y-intercept of 500/6.

(a) The inequality expresses the total hours of community service that must be given, which is at least 500 hours. The 4x term represents the hours given by the full members, and the 6y term represents the hours given by the pledges. The ≥ symbol means that the sum of these two terms must be greater than or equal to 500.

(b) To graph the inequality, you first need to find the y-intercept, which is 500/6. Then you need to find the slope, which is 4/6. This means that the line has a positive slope and passes through the point (0, 500/6). The graph of the inequality is a line that passes through this point and has a positive slope of 4/6.

Learn more about inequality here

https://brainly.com/question/28823603

#SPJ4

What is the equation in standard form of the line that passes through the
point (4, −8) and 1 has a slope of 1/4?

Answers

The equation in standard form of the line that has a slope of 1/4 and passes through the point (4, −8) is written as: -x + 4y = -36.

What is the Equation of a Line in Standard Form?

The equation of a line can be written in standard form as Ax + By = C.

Given the following:

A point (4, -8) = (a, b).

Slope (m) = 1/4.

Substitute m = 1/4 and (a, b) = (4, -8) into y - b = m(x - a):

y - (-8) = 1/4(x - 4)

y + 8 = 1/4(x - 4)

Rewrite the equation in standard form:

4(y + 8) = x - 4

4y + 32 = x - 4

4y = x - 4 - 32

4y = x - 36

-x + 4y = -36

The equation is: -x + 4y = -36.

Learn more about the equation in standard form on:

https://brainly.com/question/187506

#SPJ1

The terminal side of an angle θ in standard position intersects the unit circle at (√30/7,-√19/7). What is cot(θ)?

Answers

The cotangent of the angle is -√570/30

How to determine the cotangent of the angle?

From the question, we have the following parameters that can be used in our computation:

(√30/7,-√19/7)

This means that

(x, y) = (√30/7,-√19/7)

The cot(θ) is calculated as

cot(θ) = y/x

Substitute the known values in the above equation, so, we have the following representation

cot(θ) = (-√19/7)/(√30/7)

Evaluate

cot(θ) = -√19/√30

Rationalize

cot(θ) = -√570/30

Hence, the value of cot(θ) is -√570/30

Read more about unit circle at

https://brainly.com/question/20691579

#SPJ1

Find the point of intersection between a line that is tangent to the function
() = x^2 + 4 at = −1 ,
and the function
() = x^2 − 4

Answers

There is no point of intersection between a line that is tangent to the function () = x²  + 4 at = −1 , and the function () = x²  − 4

What is the point of intersection about?

To find the point of intersection between the line that is tangent to the function y = x²  + 4 at x = −1 and the function y = x²  − 4 , we can set the two equations equal to each other and solve for x. This will give us the x-coordinate of the point of intersection.

Setting the two equations equal to each other, we have:

x^2 + 4 = x² - 4

This simplifies to:

2 = -8

This equation has no solutions, so the two functions do not intersect. This means that the point of intersection does not exist.

Alternatively, we could see that the two functions have different slopes at the point x = −1 .

The function y = x²  + 4 has a slope of 2x at this point, which is equal to -2 . The function y = x²  − 4 has a slope of 2x , which is equal to -2 at this point as well.

However, since the two functions have different y-intercepts, they cannot be tangent to each other at this point. Therefore, the point of intersection does not exist.

Learn more about   point of intersection from

https://brainly.com/question/24949539
#SPJ1

Colette bought 1/4 of a pound of green grapes and 1/8 of a pound of red grapes. How much more did the green grapes weigh than the red grapes?

Answers

Answer:

The green grapes weigh 0.125 pounds more than the red grapes.

Step-by-step explanation:

1/4 of a pound = 0.25 pounds

1/8 of a pound = 0.125 pounds

0.25 - 0.125 = 0.125 pounds

Hope this helps :)

5k^2+20k-25=0
please i need help

Answers

The value of k is 1 and -5.

What is factorization?

A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, typically smaller or simpler things of the same kind.

Here, we have

Given function: 5k²+20k-25 = 0

Now, we factorize the given function and we get

5k²+20k-25 = 0

5(k²+4k-5) = 0

k² + 4k - 5 = 0

k² + 5k - k -5 = 0

k(k+5) -1(k+5) = 0

(k+5)(k-1) = 0

k+5 = 0, k-1 = 0

k = -5, k = 1

Hence, The value of k is 1 and -5.

To learn more about the factorize from the given link

https://brainly.com/question/24734894

#SPJ1

Can someone please answer this problem for me.

Answers

Answer:

$1 per movie

$5.50 per video game

Step-by-step explanation:

We know 5 movies and 2 video games cost $16 and 3 movies and 8 video games cost $47.

Let x be the cost of 1 movie and y be the cost of a video game.

5x + 2y = 16

3x + 8y = 47

In the first equation, lets solve for y

2y = 16 - 5x

y = 8 - 2.5x

Now, we can substitute this into the other equation.

3x + 8(8 - 2.5x) = 47

3x + 64 - 20x = 47

-17 x = - 17

x = 1

So a movie costs $1 to rent.

2y = 16 - 5(1)

2y = 11

y = 5.5

A video game costs $5.50 to rent.

Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?

Answers

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Create a multiplication equation with a solution of 2/7

Answers

Answer:

1 / 7 · 2 = 2 / 7

Q30: Work out the surface of the following prism

Answers

Surface area of the given prism is 6 square cm .

How to Calculate the Surface Area of Prism?

The steps to determine the surface area of the prism are:

Step 1: Note down the given dimensions of the prism.

Step 2: Substitute the dimensions in the surface area of prism formula (2 × Base Area) + (Base perimeter × height).

Step 3: The value of the surface area of the prism is obtained and the unit of the surface area of the prism is placed in the end (in terms of square units).

The lateral area is the area of the vertical faces, in case a prism has its bases facing up and down. Thus, the lateral surface area of prism = base perimeter × height

The total surface area of a Prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height).

Area of triangular cross-section:

Area = 1/2 . b . h

Area = 1/2 . 4. 3

Area = 6 square cm

Learn more about Surface area of Prism at:

https://brainly.com/question/1297098

#SPJ1

determine the z transform for each of the following sequences. sketch the pole-zero plot and indicate the region of convergence. indicate whether or not the (discrete time) fourier transform of the sequence exists.

Answers

The Fourier transform of this sequence does not exist

What is Fourier Transform?

The output of a Fourier transform is a function of frequency and is a mathematical transformation that breaks down functions into frequency components.

To determine the z-transform of a given sequence, we need to find the sum of the sequence's terms multiplied by z raised to the negative of the term's position. For example, given a sequence x[n], the z-transform X(z) is given by:

[tex]X(z) = sum_{n=-infinity}^{infinity} x[n] * z^{-n}[/tex]

To sketch the pole-zero plot of a z-transform, we need to plot the poles (values of z where the z-transform is infinite) and zeros (values of z where the z-transform is zero) in the complex plane. The region of convergence (ROC) is the set of values of z for which the sum defining the z-transform converges.

[tex]x[n] = a^n u[n][/tex], where a is a constant and u[n] is the unit step function[tex](u[n] = 1 for n > = 0[/tex] and [tex]u[n] = 0 for n < 0)[/tex]

The z-transform of this sequence is given by:

[tex]X(z) = sum_{n=0}^{infinity} a^n * z^{-n}= 1 / (1 - a*z^{-1})[/tex]

This z-transform has a pole at z = 1/a and a zero at z = 0. The pole-zero plot consists of a single pole at 1/a in the complex plane. The ROC is the set of values of z such that [tex]|a*z^{-1}| < 1[/tex], which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.

[tex]x[n] = (-1)^n u[n].[/tex]

The z-transform of this sequence is given by:

[tex]X(z) = sum_{n=0}^{infinity} (-1)^n * z^{-n}= 1 / (1 + z^{-1})[/tex]

This z-transform has a pole at z = -1 and a zero at z = 0. The pole-zero plot consists of a single pole at -1 in the complex plane. The ROC is the set of values of z such that [tex]|z^{-1}| < 1[/tex], which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.

[tex]x[n] = n^2 u[n].[/tex]

The z-transform of this sequence is given by:

[tex]X(z) = sum_{n=0}^{infinity} n^2 * z^{-n}= z^{-2} / (1 - z^{-1})^3[/tex]

This z-transform has poles at z = 1, z = 1, and z = 1. The pole-zero plot consists of three poles at the origin in the complex plane. The ROC is the set of values of z such that [tex]|z^{-1}| > 1[/tex], which is the region outside the unit circle centered at the origin.

Hence, The Fourier transform of this sequence does not exist.

To know more about Fourier Transform visit,

https://brainly.com/question/28984681

#SPJ4

Question 1 of 9
Use the scale to help you solve the equation and find the value of x. Enter the
value of x below. x+8=10

Answers

Answer: x + 8 - 8 = 10 - 8

Simplifying the left side of the equation gives us:

x = 2

Therefore, the value of x in this equation is 2.

A newsletter publisher believes that 43% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis.

Answers

The conclusion regarding the test of the hypothesis is given as follows:

There is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not enough evidence to conclude that the percentage is not of 43% = proportion of 0.43, hence:

[tex]H_0: p = 0.43[/tex]

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the percentage is not of 43%, hence:

[tex]H_1: p \neq 0.43[/tex]

The decision was to not reject the null hypothesis, meaning that there is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.

Missing Information

The problem asks to identify the correct conclusion from these two options:

There is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.There is sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

#SPJ1

The initial state of a queuing system (for example, when a restaurant first opens), is referred to as the ____ state. primary steady start-up transientintroductory

Answers

The initial state of a queuing system (for example, when a restaurant first opens), is referred to as the primary state.

In the queue system, what are the three states?

1) Orderly queue, also known as FIFO (First In, First Out) or FCFS (First Come, First Serve).

2) Stack, also known as LCFS (Last Come First Serve), or LIFO (Last In First Out).

3) SIRO (Serve in Irregular Request).

What is the queuing system's steady state?

Let P n(t) represent the probability of having n customers in the system at time t. This is the steady state of a queueing system, where the probability of the number of customers in the system is independent of t.

To learn more about queue here:

https://brainly.com/question/24108531

#SPJ4

What is the y/x ratio

Answers

The angles whose measure are greater than the measure of ∠1 are ∠2, ∠3, ∠7, ∠5 .

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

    where -

[m] : slope[c] : y - intercept

Given is a graph as shown in the image.

The ratio of {y/x} is called the slope of a line. So, we can write -

m = 3/2

m = 1.5

Therefore, the ratio of [y] by [x] is equivalent to 1.5.

To solve more questions on slope, visit the link below -

https://brainly.com/question/26650346

#SPJ1

What is the sum of the interior angles of a regular polygon with 9 sides?

1,260°
1,620°
1,800°
1,980°

Answers

The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

What is the angle of the polygons?

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

To know more about the angle of polygons follow

https://brainly.com/question/14332345

#SPJ1

Miguel earns extra money working two weekends with his dad. He is saving to buy a new bike that costs $140. Heather says that Miguel needs to earn more than $6 for each hour that he works to have enough money to buy the bike. Her work is shown below. Write an inequality to explain why she is incorrect

Answers

An inequality to explain the reason Heather is incorrect is t > $8.75.

What is an inequality?

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).

From the histogram, we can logically deduce the following information;

Miguel’s work record during Weekend 1 = 9 hours.

Miguel’s work record during Weekend 2 = 7 hours.

Therefore, the total number of hours which Miguel worked in two Weekends is given by;

Total hours = 9 hours + 7 hours

Total hours = 16 hours.

Next, we would calculate the amount of money that Miguel would earn per hour;

Amount = $140/16

Amount = $8.75 per hour.

Note: Let the variable t represent the total earnings.

In conclusion, the correct inequality is t > $8.75.

Read more on inequality here: brainly.com/question/28748540

#SPJ1

A train travelling along a straight line with constant acceleration is observed to travel consecutive distances of 1km in times of 30s and 60s respectively. Find the initial velocity of the train.

Answers

Answer:

116.7m/s

Step-by-step explanation:

distance(s) = 1km = 1 × 1000m = 1000m

Time(t) = 60– 30 = 30s

initial velocity = u

acceleration (a) = 10m/s

using the formula

S = ut + ½at²

1000 = 30u + ½ × 10 × 30²

1000 = 30u + 5 × 900

1000 = 30u + 4500

30u = 4500 – 1000

30u = 3500

divide both sides by 30

u = 116.7m/s

i hope i helped

Other Questions
What is the overload principle and why do you think it is it so important to training and recovery? Help please?How are the passaged organized? Match the passage with the correct text structure.1 .Polar bears live in artic climates. Because of this, they must be adapted to some serious weather conditions. Thick white fur (which also lines the bottom of their feet) and a layer of blubber (fat) allows polar bears to withstand weather that would cause most animals to freeze! Polar bears are much less impacted by freezing cold temperatures as a result of their unique traits.2.Jaguars and leopards are two commonly mistaken species. Both look like big cats with similar coloring and spotted patterns. However, jaguars have a shorter and more muscular body. Jaguars are also more likely to stand up to larger animals or predators. You will find jaguars and leopards in different parts of the world. Jaguars live in some parts of the United States, Central, and South America. Leopards live mostly in Africa and Asia.3.King Cobras lay 20 to 40 eggs at a time. Once the eggs are laid, the mother cobra will create a nest from dead leaves and coil herself on top. The eggs must be kept warm for up to 80 days. During this time, a cobra will see any animal nearby as a threat and will attach. Once the eggs finally hatch, the 18 inch babies will have to survive on their own by finding protection in the surrounding environment.4.What happens when a dog gets overheated? They pant. Panting allows cooler air to quickly circulate throughout their bodies until they return to a more comfortable temperature. Dogs also produce small amounts of sweat from their paws and noses. This sweat helps the cooling process. The thicker the fur on a dog, the longer it takes to cool down. You can also help your furry friend by making sure they have a cool place to stay, and plenty of water to drink.5.Warthogs live in the grasslands of Africa. They have large heads with wide, flat faces and 4 large tusks that they can use to attack other animals. Their short bodies are covered with rough, bristly hairs. Warthogs are herbivores with a diet that consists of grass, fruits, berries, roots, small animals and birds. They are very quick for their size, running at maximum speeds of 30 miles per hour.6.Horned toad lizards are unfortunately the prey of many species such as coyotes, hawks, and snakes. To protect themselves, it shoots blood from its eyes! When the horned toad lizard has no other way to defend itself, it shoots blood out of ducts in the corners of its eyes. This blood can travel up to three feet, and at the very least, is able to startle any nearby predators so the lizard is able to escape from harm.Answers : Cause And Effect, Sequence (Chronological Order), Description, Compare And Contrast, Problem And Solution, Question And Answer.Any help? Sorry for it being long, You have to drag the answer into the Questions. please help asap 1. While freedom of the press is an important part of journalism in the United States, the press still has some limitations. Choose one of these limitations and give two benefits of this limitation.2. Why is it so important that journalists have ethics? When might they be tempted to ignore them?3. Give an example of a conflict of interest. Explain why this is a problem for journalists?4. Everybody has beliefs and opinions, yet journalists have to set these aside and be as objective as possible. Why is this objectivity so essential for journalists? What would happen if they did not have it?5. The press is sometimes referred to as The Fourth Estate, meaning it is like a fourth branch of government and that it has a role in balancing the other branches. How does freedom of the press make this role possible? Give two reasons why this is the case. which of the following events that preceded the outbreak of the first world war best explains why russian troops were being mobilized against austria-hungary, as stated in the first paragraph? An important debate in moral philosophy concerns the question of whether an action has moral worth if it is not done for moral reasons. This debate is about which of the following? Coal can contain up to about 2000 ppm (by mass) of natural uranium. Compare the chemical energy content of the coal with the available fission energy from the 235U content of the uranium (as used in a thermal reactor) and the total available fission energy from the uranium including 238U (as might be used in a breeder reactor). The formula for depreciable cost is Initial cost - Accumulated depreciation Depreciable cost = Initial cost Initial cost + Residual value Initial cost Residual value What was the framers goal in making a federal government with limited power? 5* Le terrain de M. Campo mesure 1250 m.C'est 450 m de plus que celui de M. Vergne.Quelle est la superficie du terrain deM. Vergne ? f(x) = 3x^2 + 5g(x) = 4x - 2h(x) = x^2 - 3x + 1Find f(x) + g(x) - h(x). Coinsurance is the sharing of costs between the individual and the health insurance company. Which of the following statements are also true about coinsurance?I.The maximum amount an individual must pay is called the out-of-pocket maximum.II.Common coinsurance rates are 80/20.III.The total coinsurance paid by an individual is capped.IV.Is sometimes called a copay or copayment.Group of answer choicesI, II, and III.II, III, and IV.I, II and IV.I, III and IV. URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!! How does industrial growth Change economy? A research group conducted a study investigating the connection between self-reported number of hoursslept in a given week and scores on a happiness measure. Based on the scatterplot above, the group canreport that there isanswer choicesno relationship between amount of self-reported sleep and happinessa positive correlationa negative correlationa perfect, negative relationship between amount of self-reported sleep and happinessa perfect, positive relationship between amount of self-reported sleep and happiness if a player breaks a rule and is given a penalty, they must sit out of the game for a given amount of time. True or False A copy machine makes 32 coples per minute. How many copies does it make in 4 minutes and 15 seconds? Which statement is missing in the proof? a 500 w heating unit is designed to operate with an applied potential difference of 115v. by what percentage will the power drop if the applied potential difference is reduced to 100v? What does it mean to say that a text is coherent or demonstrates coherence? A tank containing 100 gallons of brine made by dissolving 6 pounds of salt in water. Salt water containing one (1) pound of salt per gallon runs in at the rate of 2 gallons per minute. A well stirred mixture runs out at the rate of 2 gallons per minute. Find the amount of salt in the tank at the end of one hour.