One math student, John, can solve 6 math problems in 20 minutes while another student, Juaquine, can solve the same 6 math problems at a rate of 1 problem per 4 minutes. Who works faster?
1.John
2.Juaquine

Answers

Answer 1

Answer:

John

Step-by-step explanation:

6/20=0.3

1/4=0.25

Answer 2

Juaquine is solving problems at a faster rate as compared to John.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

As per the question, we can compare their rates of problem-solving by calculating the number of problems they can solve per minute.

For John, this is 6 problems / 20 minutes = 0.3 problems per minute.

For Juaquine, this is 6 problems / (4 minutes/problem) = 1.5 problems per minute.

Since Juaquine can solve 1.5 problems per minute compared to John's 0.3 problems per minute, Juaquine is solving problems at a faster rate.

Hence, Juaquine works faster as compared to John.

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Related Questions

The food truck also offers catering services. The food truck makes different kinds of salads for parties and other events. Tammy looks at the paper menu to
decide what to buy
Macaroni Salad
$5 per pound
Potato Salad
$8 por pound
Tammy will order both macaroni and potato salad. She estimates that she will spend a total of 538 on 7 pounds of salad. She uses this system of equations to
show how many pounds of macaroni salad, m, and potato salad, p, she plans to buy.
5m +6p = 38
m+p=7
How many pounds of each salad does Tammy plan to buy?

Answers

Answer:

4 pounds of mac 3 pounds of potato

Step-by-step explanation:

5+6=11+5+6=22+5+6=33+5=38

How is solving literal equations like solving equations in one variable

Answers

Answer:

When given a literal equation, you will often be asked to solve the equation for a

given variable. The goal is to isolate that given variable. The process is the same

process that you use to solve linear equations; the only difference is that you will

be working with a lot more letters, and you may not be able to simplify as much as

you can with linear equations. This packet will hopefully show you the process in a

simple manner so that you will be able to solve literal equations yourself. See

examples before for the method to solving literal equations for a given variable:

Answer:

Step-by-step explanation:

To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.

Linear equations in one variable may take the form a x + b = 0 \displaystyle ax+b=0 ax+b=0 and are solved using basic algebraic operations. We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.

I hope this helps. Sorry if I could not answer your question!

someone please help me asap

Answers

Answer: I think it’s 3868000000

Step-by-step explanation:

You move the decimal 9 places to the right

Brady is working part time.
He gets paid $7.50 an hour and $5 tip per table.
If Brady worked 10 hours this week, and served 12 tables, how much money did Brady earn?

Answers

Answer: brady earned 135 dollars this week.

Step-by-step explanation: 7.50 X 10 + 5 X 12 is 135.

WILL GIVE BRAINLIEST If a triangle is acute, then all three angles have a measure of 60°. Provide a counterexample to show that the statement is false. A) The three angles could be 30°, 30°, and 30° B) The three angles could be 30°, 60°, and 90° C) The three angles could be 30°, 70°, and 80° D) The three angles could be 30°, 30°, and 120°

Answers

Answer:

Answer C

Step-by-step explanation:

This is because acute triangles have angles that are under 90 degrees and Option A would be true to what you are trying to make false and B & D are false because they have angles that go over 90 degrees.

The other statements that provide contradiction to the given expression are option (B) and (C).

What is a acute triangle?

An elementary polygon having three sides and three vertices is a triangle. There are three internal angles since it has three sides. An acute angle is one that ranges in measurement from 0° to 90°. A form of triangle called an acute triangle has acute angles at each of its three internal angles.

In the option (A),

the three angles could be 30°, 30°, and 30°.

These angles contradict the basic property of triangle.

Which is sum of all the triangles are 180°.

In the option (B),

the three angles could be 30°, 60°, and 90°.

The above angles hold the property of an acute triangle.

In the option (C),

The three angles could be 30°, 70°, and 80°.

The above angles also hold the property of an acute triangle.

In the option (D),

The three angles could be 30°, 30°, and 120°.

Angle 120° greater than 90°.

This statement contradicts the basic property of an acute triangle.

Therefore, the other statements that provide contradiction to the given expression are option (B) and (C).

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What Is the slope of the line on the graph?

Answers

Answer:

the answer is 4x 5y -5x -4y

Step-by-step explanation:

A factory used 72 kg of tomatoes to make 8 batches of pasta sauce. What quantity of tomatoes did the factory put in each batch?​

Answers

Answer:

9 kg in each patch

Step-by-step explanation:

because total quantity of tomatoes is 72kg and factory going to make only 8 batches of pasta sauce.therefore 72÷8=9

IF 48% of the students in a class are girls:
that percentage are boys?
Represent the percentage of boys as a fraction in it's lowest term

Answers

The percentage is 52% and the fraction is 13/25

please answer fast
(0,3);slope=-2

Answers

y = -2 + 5


The slope is -2 and the y-intercept is 5.

Answer:

y = -2x + 3

Step-by-step explanation:

plug what you know into y=mx+b3 = -2(0)+b3 = 0 + bb = 3

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.

Answers

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

Please help brainliest and 63 points!

Answers

Answer:

[tex]x = 0[/tex] and [tex]x = -2[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} = \frac{{x}^2}{x-2}[/tex]

Use cross multiplying to solve the equation.

[tex]x(x-2) = 2({x}^2)[/tex]

[tex]{x}^2 - 2x = 2{x}^2[/tex]

[tex]2{x}^2-{x}^2+2x = 0[/tex]

[tex]{x}^2 + 2x = 0[/tex]

Now factor it.

[tex]x(x+2) = 0[/tex]

Now split into two equations:

Equation A:

[tex]x = 0[/tex]

Equation B:

[tex]x + 2 = 0[/tex]

[tex]x = 0 -2[/tex]

[tex]x = -2[/tex]

Therefore, the solutions are x = 0 and x = -2.

Hope this helped! If not, please let me know! <3

What is the slope of a line parallel to y = -5x + 2?

Answers

Answer:

-5

Step-by-step explanation:

Parallel lines have the same slope, so it would just be -5

what is -8 = 7 - 3/2 x ​

Answers

X=10. Hope this helps!

What is 100% written as a decimal?

Answers

Answer:

100 percent written as a decimal would just be 1

Step-by-step explanation:

For example, 50% is 0.50 in decimal form that would make 100% well, 1.0

Hope this helps and have a great day!

You got this :)

Which set of ordered pairs does not represent a function?
A.(0, 0), (2, 2), (5,5)
B.(0, 1), (3, 4), (4,3)
C. (1, 2), (3, 2), (7, 2)
D.(2,3), (3,5), (3,7)

Answers

Answer:

C does not represent a function

Step-by-step explanation:

you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function

What is the approximate area of the circle shown below ? 17cm

Answers

Answer:

It's B, 908cm^2

Step-by-step explanation:

A=3.14xr^2.

Answer:

The answer is B, 908cm²

Step-by-step explanation:

Just Completed This quiz

what is -0.5 repeating(5 in the tens place is repeating) as a fraction?

Answers

Answer:

-1/2

Step-by-step explanation:

I think it’s but I’m not sure -1/10

WILL GIVE BRAINLIEST! Find an equation of the circle and sketch it if it has: Tangent to y-axis, r=5, contains (10, 7)

Answers

Answer:  (x-5)^2 + (y-7)^2 = 25

Center = (5,7)

Radius = 5

======================================================

Explanation:

The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.

But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.

So the center (h,k) must be on the line x = 5.

The center is the point (h,k) = (5,k)

Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below

Solve for k.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5

(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt(0)

7-k = 0

-k = 0-7

-k = -7

k = 7

The center is (h,k) = (5,7)

We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25

The equation of the circle is   (x-5)^2 + (y-7)^2 is25 .  The center of the circle is Center is (5,7) .Radius of the circle  is  5

What is equation of the circle?

Circle's basic equation is represented by:

(x-h)2 + (y-k)2 = r2

where the radius is r and the circle's center's coordinates are (h,k).

Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.

The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.

The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.

Therefore, the line x = 5 must contain the center (h,k).

The point (h,k) = is the center (5,k)

Given ,

In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.

Calculate k using the formula.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.

(10-5)^2 + (7-k)^2 = 25  Input x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt (0)

7-k = 0

-k = 0-7

-k = -7

k = 7

(h,k) = is the center (5,7)

Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.

Therefore The equation of the circle is   (x-5)^2 + (y-7)^2 is25

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Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added

Answers

Complete question :

Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.

1. Standard deviation 11) Median 111) Mean

Answer:

Standard deviation - increased

Median - cannot be determined

Mean - decrease

Step-by-step explanation:

The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.

The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

Michael to 12 tests in his math class.

His lowest test score was 78.

His highest test score was 98.

On the 13th Test, he earns a 64.

Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.

The standard deviation will increase because the gap between the mean and 64 will increase.

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

More about the statistics link is given below.

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what is 8 1/2 times 11

Answers

Answer:

93 1/2

Step-by-step explanation:

Which statement best describes how to determine whether f(x) = x4 – x3 is an even function?

Answers

It would equal x=0 so no

PLEASE HELP ASAP for 8 points ​
Best answer will be marked as Brainliest
Plz hurry

Answers

Answer:

∠COS = 30°

Step-by-step explanation:

∠BPO = 120° + x

∠COS = x

Alternate Interior/Exterior is congruent if two parallel lines are intersected by a transverse.

∠BPO = ∠COP

∠COP = 120° + x

∠COP + ∠COS = 180°

120° + x + x = 180°

120° + 2x = 180°

2x = 60°

x = 30°

Help please will mark brainliest for correct answer!

Your weld settings are 17.5 volts and 125 amps. use ohm's law to count how much resistance is in your welding circuit.

Answers

Answer:

0.14 ohms

Step-by-step explanation:

We know that ohms law is given by the expression

V=IR

In the problem, we are given that

voltage v= 17.5volts

currents I=125 amps

Substituting our data into the expression we have

17.5=125*R

R=17.5/125

R=0.14 ohms

Hence the current is 0.14 ohms

Convert 50.0 mL to liters. Use the appropriate significant figures

Answers

Answer:

50 ml = 0.050 liters

Step-by-step explanation:

The solution is:

The mass/volume percent = 16/50 x 100% = 32%

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Explanation

Given:

Mass of NaCl, m = 16.0 g

Volume of solution, v = 50.0 mL

What to find:

The mass/volume percent.

Solution

The mass/volume percent of the solution can be calculated using the formula below

The mass/volume percent  = mass/volume x 100%

so, we get,

The mass/volume percent

= 16/50 x 100%

= 32%

Hence, The mass/volume percent is 32%.

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complete question;

Calculate the mass/volume percent (m/v) of 16.0 g NaCl in 50.0 mL of solution.Express your answer to three significant figures.

(02.01)The figure shows Triangle ABC and some of its transformed images on a coordinate grid:


Which of the four triangles was formed by a translation of Triangle ABC?

A:1
B: 2
C: 3
D:4

Answers

2, i’m pretty sure !

1 point
Officer Cooter spent half of the money in his wallet going to the movies. After the movies, he found 6 dollars in the dryer while doing his laundry
and put it in his wallet. How much money did he start with in his wallet if he ended with 16 dollars?
Choose the equation from the following list and solve.
16 = 2 + 6
16 = -6
16 = +6
16 = 2r - 6
Officer Cooter started with $ type your answer...
in his wallet

Answers

Answer:

34

Step-by-step explanation:

After completing 9 levels of his favorite video game, Sam had found 6 coins. How many coins will Sam have found after completing for 24 levels?

Answers

Answer:

I'm pretty sure it is 16 coins.

Step-by-step explanation:

What I did was to divide 24 levels by 9 levels and I got, specifically, 2.66666666667. Then I multiplyed it by 6 and got 16. Hope it helps.

At Penny's Pie Shop, it costs $4 for 1/4 of a pie. What is the cost of a whole pie? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

$16

Step-by-step explanation:

Answer: its was he/she said which $16

Step-by-step explanation: there is none :)

Given Sine (t) = StartFraction 7 Over 25 EndFraction for StartFraction pi Over 2 EndFraction less-than t less-than pi, what is Cosine (t)?

Answers

Answer:

Answer is -24/25.

Step-by-step explanation:

Got it right on egde2020

The value of cos (t) is - (24/25), as per  the relation between the sine and cosine of an angle.

What is the relation between the sine and cosine of an angle?

For any angle 'Ф',  the relation between the sine and cosine of an angle is:

sin² (Ф) + cos² (Ф) = 1, when 0 < Ф < (π/2)

Given equation,

sin (t) = (7/25), for (π/2) < t < π

Here, 't' is in the second quadrant.

Therefore, sine is positive here.

However, cosine is negative there.

Therefore, the value of cos (t) is

= - √[1 - sin² (t)]

= - √[1 - (7/25)²]

= - √[1 - (49/625)]

= - √(576/625)

= - (24/25)

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A number divided by −8 is 22. Find the number.

Answers

Answer:

divide 22 by -8

it equals

-2.75

hope this helps :)

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