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3 years ago

A rectangle has an area of x^2-11x+30 and the length of x-5. What is the width?

Mathematics

2 answers:

Keith_Richards [23]3 years ago

5 0

Answer:

x - 6

Step-by-step explanation:

A = x² - 11x + 30

= x² - 5x - 6x + 30

= x(x - 5) - 6(x - 5)

= (x - 6)(x - 5)

A = L x W

W = A/L

= (x - 6)(x - 5)/(x - 5)

= (x - 6)

olya-2409 [2.1K]3 years ago

3 0

Answer:

x - 6

Step-by-step explanation:

A = L x W

A / L = W

x^2-11x+30 / x -5 = W (Simplify the numerator)

(x - 6) x ( x - 5) / x - 5 = W (Cancel the similar ones which is (x - 5) )

x - 6 = W

Hope that helps

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Ksenya-84 [330]

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alirghty

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7 0

3 years ago

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

lys-0071 [83]

Answer:

630.

Step-by-step explanation:

Given the following data;

Dimensions for cube = ¼ inches

$Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}$

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

$Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}$

Volume = 315/32 inches

Therefore, to find the amount of cubes;

$Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}$

Substituting into the equation, we have;

$Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}$

$Number \; of \; cubes = \frac {315}{32} * 64$

$Number \; of \; cubes = 315 * 2$

Number of cubes = 630

6 0

3 years ago

Read 2 more answers

Find the population variance of: 4 6 8 9 9 round to the nearest hundredth

soldi70 [24.7K]

Answer:

Step-by-step explanation:

To find the population variance, we first need the mean:

$\bar{x}=\frac{4+6+8+9+9}{5}=\frac{36}{5}=7.2$ so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this: