-27 = -w/5 solve for w and simplify as much as possible and put the anwser

Answer:

Step-by-step explanation:

it is D i took the test

Ezzzzzzzzzzzzzzzzzzzzzzzzzzz

Answer:

3 and 2

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original

shape on left

consider the length of the horizontal sides

P = 2 and Q = 6 , then

scale factor = [tex]\frac{6}{2}[/tex] = 3

shape on right

consider the length of the horizontal sides

R = 2 and T = 4 , then

scale factor = [tex]\frac{4}{2}[/tex] = 2

The equation of the line is y = -3x + 8.

The slope of a line, or angle between it and the horizontal, is stated numerically. The slope of a line, ray, or line segment in analytical geometry is the ratio of its vertical to horizontal distance between any two locations ("slope equals rise over run").

Given,

x1 = 1

y1 = 5

m = -3

From,

y-y1 = m(x-x1) (x-x1) (x-x1)

y - 5 = -3(x - 1) (x - 1) (x - 1)

y-5 = -3x + 3

y = -3x + 8

As a result, the equation for the line is y = -3x + 8.

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In order to find how many pounds are in each bag, we just need to divide the total amount of blueberries by the number of bags.

So we have:

So in each bag there are 1/16 pounds of blueberry.

Answer:

$100.14

Step-by-step explanation:

convert to a number

ANSWER

B) y = 1/2x - 6

EXPLANATION

We have that the line passes through (6 -3) and has a slope of 1/2.

To find the point-slope form of the equation, we have to use the formula:

where m = slope = 1/2

(x1, y1) = (6, -3)

So, we have:

y - (-3) = 1/2 (x - 6)

y + 3 = 1/2 x - (1/2 * 6)

y + 3 = 1/2 x - 3

=> y = 1/2x - 3 - 3

y = 1/2x - 6

The answer is Option B

Answer: for number 1  13,416

Step-by-step explanation: i think that is the correct answer i could be wrong

For the given line, the graph is given below -

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

For the given line,

y = 1/4x + 2

the coordinates will be -

for x = 4, y = 3

(4,3)

for x = 8, y = 4

(8,4)

for x = 0, y = 2

(0,2)

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Answer:

Touchdowns: 6

Field goals: 3

PATS: 5

Step-by-step explanation:

6*6 = 36

3*3 = 9

5*1 = 5

9+5+36 = 50 points

6+3+5 = 14 scored times

Answers:

6 touchdowns (TD)

3 field goals (FG)

5 points after touchdown (PAT)

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

Explanation:

Acronyms used in football

Define the following variables

"They had 3 more touchdowns than field goals", so,

TD = FG + 3

x = y + 3

They scored 14 times which means we can say

x+y+z = 14

Let's look at the point breakdown per type of score

Then we can add up those expressions to get us to 6x+3y+1z = 50 points total. This is the same as saying 6x+3y+z = 50.

--------------------------

Here's our system of equations

x = y+3

x+y+z = 14

6x+3y+z = 50

Let's replace each x with y+3 in the second equation. Then solve for z.

x+y+z = 14

y+3+y+z = 14

2y+z = 14-3

2y+z = 11

z = 11-2y

Now replace every x with y+3 in the third original equation

6x+3y+z = 50

6(y+3)+3y+z = 50

6y+18+3y+z = 50

9y+z = 50-18

9y+z = 32

Then plug in z = 11-2y and solve for y

9y+z = 32

9y+11-2y = 32

7y+11 = 32

7y = 32-11

7y = 21

y = 21/7

y = 3 is the number of FGs scored

Use this to find z

z = 11-2y

z = 11-2(3)

z = 11-6

z = 5 is the number of PATs scored

Now let's find x

x = y+3

x = 3+3

x = 6 is the number of TDs scored

--------------------------

Checking the answers:

x+y+z = 6+3+5 = 9+5 = 14 times they scored

6x+3y+z = 6*6+3*3+5 = 36+9+5 = 50 points scored

There are 3 more TDs than FGs since x = y+3 leads to 6 = 3+3 which is a true statement.

All three original equations we set up for the system of equations are true. Therefore, the final answers are confirmed.

a. The rocket splashes down after 31.23 seconds.

b.  The rocket is 1374.7 meters above sea level.

NASA launches a rocket at t=0 seconds.

Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t²+142t+346.

Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

When splash down occurs, h(t) = 0, therefore

-4.9t²+142t+346 = 0

find t using the quadratic formula; a=4.9, b=142, c=346

t = -142 ± √(142)² - 4(-4.9)(346) / 2(-4.9)

t = -142 ± 164.15 / -9.8

t = -142+164.15/-9.8 , -142-164.15/-9.8

t = 22.15/-9.8 , -306.15/-9.8

t = -2.26 , 31.23

time cannot be negative so t = 31.23

The rocket splashes down after 35.8229 seconds.

The max occurs on the axis of symmetry, use x=-b/(2a) to find it

t = -142/2(-4.9)

t = 142/9.8

t = 14.48 sec

replace t with 17.2449 in the equation

h(t) = -4.9(14.48)² + 142(14.48) + 346

= 1374.7 m

The rocket peaks at 1374.7 meters above sea-level.

Hence we get the answers.

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Answer:

0.5 ⋅ 103

Step-by-step explanation:

After using the linear equation - The smaller number is 7, and the greater number will be 23.

what is the substitution method?

Mathematicians frequently use the substitution method to resolve an equation system. With this method, you solve the equation for the first variable first, and then plug the answer into the second equation.

what is a linear equation in two variables?

When an equation is written in the form axe + by + c=0 and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero and the greater of the two numbers is four times the smaller number minus 5, that equation is said to be linear in two variables.

Let's assume that "x" is the smaller number, making "4x-5" the greater number. The requirement that the difference between the two numbers be 16 is also included.

thus,

4x - 5 - x = 16
3x -5 = 16
3x = 16 +5
3x =21
x = 21/3
x = 7
for the second number
4x-5
=4(7)-5
=28-5
=23

hence the smaller number is 7, and the greater number will be 23.

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A line that passes through point (3,-5) and is perpendicular to y = -x+5 has the equation y = x - 8.

A straight line has an equation of y=mx + c, where m is the gradient and c is the constant, also known as the y-intercept, at which the line crosses the y-axis.

In order to put the equation in y-intercept (y = mx + b) form and determine the equation of a graphed line, first determine the slope and y-intercept.

It is given that a line's equation passes through point (3,-5) and is perpendicular to y = -x+5.

Slope of given line = -1

Slope of line perpendicular to the given line = Negative of the reciprocal of the slope of a given line = 1

We have the slope and point (3,-5) of the required line. So, we can find the constant of this equation.

y = mx + c

-5 = 1(3) + c

c = -5 - 3

c = -8

Substituting c = -8 and m = 1 to get the equation of required line.

y = mx + c

y = x - 8

As a result, the equation of a line passing through point (3,-5) and perpendicular to y = -x+5 is y = x - 8.

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Number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

As per the question statement, we are supposed to find  the  integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

Let's write the given statement in numeric form first, we get

[tex]\frac{5m}{6} -4 < \frac{m}{3} +5[/tex]

Let's solve the inequality for "m"

We get 3m/6 <9

or 3m <54

or m < 18

Therefore all values of m < 18 will make the inequality true and m>18 will make the  inequality false.

The value of m > 18 in the above given set S:{−18, 2, 15, 20} is 20, hence number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

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Answer: its 20 or 15 i belieive its 20 tho

Step-by-step explanation:

The probability that a group of four siblings includes all XY is 1/16 (6.5%), while the probability all XX offspring is 1/16 (6.5%). It is a simple genetic probability calculation.

Genetic probabilities and chromosomes

Females inherit two chromosomes X, whereas males inherit one chromosome X and one chromosome Y.

The probabilities of inherent two chromosomes X (females) are 1/2 (50%), while the probabilities of inherent one chromosome X and one chromosome Y (males) are also 1/2.

In consequence, the probability that a group of four siblings includes all XY is 1/16 (because it is equal to 1/2 x 1/2 x 1/2 x 1/2 = 1/16), the same for the probability all XX offspring (1/16).

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The relationship between the shoe's altitude (in meters relative to the water's surface) and time (in seconds) has been plotted in the graph shown below.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

Next, we would determine the initial altitude as follows:

y = mx + c

0  = (0.1 × 35)  + c

0 = 3.5 + c

c  = -3.5

Substituting the given points into the formula, we have;

y  = 0.1x - 3.5

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Complete Question:

Elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! He reeled in his catch, causing it to ascend at a constant rate of 0.1 meters per second. When it reached the water's surface after 35 seconds, Elon found it was only an old shoe...

Graph the relationship between the shoe's altitude (in meters relative to the water's surface) and time (in seconds).

Answer:

C

Step-by-step explanation:

One of the quick ways of getting the answer is to graph the  equation. I have done that for you at the bottom of this answer. However, I think you want the written solution.

Equation

y = x^2 + 8x - 6                        Put brackets around the first 2 terms

y = (x^2 + 8x) - 6                      Take 1/2 the second term and square

8/2 = 4;   4^2 = 16                    Put 16 after the second term

y = (x^2 + 8x + 16)   - 6             Subtract 16 and put it after the 6

y = (x^2 + 8x + 16) -6-16           Combine

y = (x^2 + 8x + 16) - 22

The first 3 terms make a perfect square (x^2 + 8x + 16) = (x + 4)^2

So the answer is between C and A

y = (x + 4)^2 - 22

Answer:

[tex]\sf Area = 10\dfrac{7}{8} \yd^2[/tex]

Step-by-step explanation:

     Area = length *breadth

Convert the mixed fraction to improper fraction.

[tex]\sf 1\dfrac{1}{2}=\dfrac{3}{2} \ yd[/tex]

[tex]\sf area = \dfrac{3}{2}*\dfrac{58}{8}\\\\[/tex]

      [tex]\sf = \dfrac{3*29}{8}\\\\=\dfrac{87}{8}\\\\= 10\dfrac{7}{8} \ yd^2[/tex]

The representation of the radical expression; the cube root of five to the seventh power as an expression with a rational exponent is; five to the seven thirds power.

It follows from the task content that the radical expression given; ³√5⁷ is to be expressed as a rational exponent expression.

Recall that the converse of the rational exponent law of indices is such that; ³√x = (x)^⅓.

Hence, it follows that the expression given;

³√5⁷ = (5⁷)^⅓.

Also, it follows from the power of power law of indices that the expression above can be written as;

5^(7/3).

Ultimately, the equivalent rational exponent expression is; five to the seven thirds power; 5^(7/3).

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120 children and 120 adults were admitted to the amusement park if the admission fee collected was $1980.00

The number of children and adults that entered the park can be calculated using linear equations.

Considering x to be the number of adults and y to be the number of children;

As 240 people entered the park, therefore;

x + y = 240

As the fee for children is $3.50 and for adults is $13, therefore;

13x + 3.50y = 1980

Determining the value of y in the first equation;

x + y = 240

y = 240 - x

Putting this value of y in the second equation;

13x + 3.50y = 1980

13x + 3.50(240 - x) = 1980

13x + 840 - 3.50x = 1980

9.5x = 1980 - 840

9.5x = 1140

x = 1140 / 9.5

x = 120

To determine the value of y, we Substitute this value of x in the first equation;

y = 240 - x

y = 240 - 120

y = 120

Hence, 120 children and 120 adults entered the park if the admission fee for children was $3.50 and for adults was $13.00

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The benzene has a volume value of 149.99 mL

From the question, the given parameters are

Density of benzene = 0.8787 g/mL

Mass of benzene = 131.8 g

The volume of the benzene is then calculated using

Density = Mass/Volume

Make Volume the subject of the formula

So, we have

Volume = Mass/Density

Substitute the known values in the above equation

So, we have the following equation

Volume = 131.8/0.8787

Evaluate the quotients in the equation

Volume = 149.99

Hence, the volume of the benzene is 149.99 mL

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Step-by-step explanation:

the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

a slope = 0 means that the y coordinate change is always 0, so y does not change anywhere on the line.

that makes y a constant c, and x can be any value completely independent of y.

the line is the summary of all points that have c as their y coordinate.

so, the general equation for such a line is simply

y = c

what is c ?

as we have one point on the line, remember the statement above : the line is the summary of all points that have c as their y coordinate.

that means (3, -4) must have the same y coordinate.

so, c = -4.

the equation of the line is therefore

y = -4

Answer:

Answer down below!

Step-by-step explanation:

Using your knowledge of parallel lines, you know that parallel lines are most often time never touching, but on the same plane. The top of R and the bottom line of Q are parallel because they don't intersect each other.

We also notice that the shapes are the same length, so we have this conclusion!

Q and R are identical because they share opposite, parallel lines.

After doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.

So, times extra large pizza is heavy than small pizza:

Now, perform operations as follows:

Therefore, after doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.

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The correct question is given below:

Use the Table that shows the weights of three sizes of pizza.

Extra Large Pizza - 6 1/2

Medium Pizza - 3 1/4

Small Pizza - 1 5/8

(A) How many times as heavy is the extra large pizza than the small pizza?

Answer:

The vertical angles are

1 and 3

2 and 4

Answer:

-2/3

Step-by-step explanation:

y=mx+c

m is the gradient/slope

m= y2-y1 / x2-x1

you can label any point as your x1y1 and x2y2, you will still get the same answer

The linear equation which can be used to represents Curtis weekly salary is S = 8H + 0.02C

Weekly salary = Curtis wage per hour(Hours Worked) + Percentage commission(Commission earned on total sales)

S = 8(H) + 2%(C)

S = 8H + 0.02(C)

S = 8H + 0.02C

So therefore, Curtis linear equation for his weekly salary is S = 8H + 0.02C

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Answer:-0.9.45

Step-by-step explanation:

-0945

Answer: -0.6i

Step-by-step explanation:

[tex]0.4i-i=\\\\i(0.4-1)=\\\\i(-0.6)=\\\\-0.6i[/tex]

Answer:

use the property’s of equality to solve

Step-by-step explanation:

Use the properties of equality to solve, is not a step when we are solving an equation using distributive property.

Distributive property:- In general,

      distribute means to divide something or give a share or part of something. According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

             ex:-   a(b+c)=ab+ac

                       a(b-c)=ab-ac  ,also valid true for division

                  (b+c)/a = b/a + c/a

Steps involved while solving equations

1. If you see parenthesis, with more than one term inside, then distribute first.

2. Rewrite your equations with like terms together. Take the sign in front of each term.

3. Combine like terms.

4. Continue solving to get the answer.

Thus, Use the properties of equality to solve, is not a step involved in solving equation using distributive property.

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Answer:

Y=-3x+7

Step-by-step explanation:

it hit the y axis at 7

And it is going down by 3