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3 years ago

7

Montell gets $10.50 each week for doing yard work for his neighbors. He has earned $63 so far. Write and solve an equation to fi

nd how many weeks it took for him to earn that amounts.

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

10.50x = 63

You'll divide 63 by 10.50 to get 6 weeks.

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The graph shows the amount of money paid when purchasing bags of peanuts at the zoo: What is the constant of proportionality? (4

jolli1 [7]

Answer:

The constant of proportionality is equal to 4

Step-by-step explanation:

The picture of the question in the attached figure

Let

y ----> the total cost in dollars

x ----> the number of bags of peanuts

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

To find out the constant of proportionality, we need to take one point from the graph

take the point (1,4)

Find the value of k

$k=\frac{y}{x}$

substitute the value of x and the value of y

$k=\frac{4}{1}=\$4\ per bag$

6 0

3 years ago

Octagon ABCDEFGH and its dilation, octagon A'B'C'D'E'F'G'H', are shown on the coordinate plane below:

Vaselesa [24]

Answer:

2) 2

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the enlargement or reduction of the size of an object. If a figure with point A(x, y) is dilated by a scale factor of k about the center of the origin, the new point would be at (kx, ky). If k < 1 it is a reduction and if k > 1 it is an enlargement.

The octagon ABCDEFGH has vertices at A(3, 1), B(3, -1), C(1, -3), D(1, -3), E(-3, -1), F(-3, 1), G(-1,3) and H(1, 3)

Octagon ABCDEFGH is then dilated about the origin to form octagon A'B'C'D'E'F'G'H' with vertices at A'(6, 2), B'(6, -2), C'(2, -6), D'(2, -6), E'(-6, -2), F'(-6, 2), G'(-2,6) and H'(2, 6)

A = (3, 1) and A' = (6, 2) = [2(3), 2(1)]

Therefore octagon ABCDEFGH was dilated by a scale factor of 2 to form octagon A'B'C'D'E'F'G'H'

6 0

3 years ago

USE ALL THE WORK IT TAKES TO SOLVE THIS PROBLEM

Umnica [9.8K]

Answer:

x^2 + 2x = 3x+20

-3x

x^2 - 1x = 20

- 20

x^2 -1x -20=0

(x-5)(x+4)

x-5 =0 or x+4=0

x = 5 or x= -4

3 0

3 years ago

What is x? <br><br> a) x=33.6 <br> b) x=21<br> c) x=24<br> d) x=26

kirill [66]

the answer is c) x=24

6 0

3 years ago

A factory requires 9 machines to make a toy

cestrela7 [59]

Answer:

18 machines

Step-by-step explanation:

9 machines give 24 mins... You need to reduce the time by half by adding using double the machines..

So 9×2=18

6 0

2 years ago