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3 years ago

Use the distributive property to rewrite the expression and solve. 9 x 72 = 9 ----- + 9 x 2 = ------

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

9 x 72 = 9 x ? + 9 x 2

72 = 8 x 9 = 4 x 2 x 9

9 x 72 = 9 x 4 + 9 x 2

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if a lady chargers $2.00 for gas and $3.00 per 1/2 hour of work . What is the amount of money she makes in 4 hours ?

anastassius [24]

Answer:

$32

Step-by-step explanation:

The lady charges $2.00 for gas which means over a 4 hour period we would do

4 x 2 = 8

She makes a total of 8 dollars

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This means we would do 3 x 8

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2 years ago

The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati

Ksivusya [100]

<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

$\dfrac{24}{25}$

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

$Perimeter\ of\ R=2(2x+3x)$

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

$Perimeter=2(L+B)$ )

Hence, we get:

$Perimeter\ of\ R=2(5x)$

i.e.

$Perimeter\ of\ R=10x$

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

$\text{Perimeter\ of\ square}=4s$

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

$4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}$

Now, we know that the area of a square is given by:

$\text{Area\ of\ square}=s^2$

and

$\text{Area\ of\ Rectangle}=L\times B$

Hence, we get:

$\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}$

and

$\text{Area\ of\ Rectangle}=2x\times 3x$

i.e.

$\text{Area\ of\ Rectangle}=6x^2$

Hence,

Ratio of the area of region R to the area of region S is:

$=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}$

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3 years ago

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notsponge [240]

Answer:

$A=150\ cm^2$

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

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Height = 20 cm

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So, the area of the triangle is equal to $150\ cm^2$ .

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3 years ago