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3 years ago

Buffy ate 100 fries in 5 minutes find her fry-eating rate in fries per minute

Mathematics

2 answers:

Paul [167]3 years ago

6 0

Answer:

20 fries per minute.

Step-by-step explanation:

If you express the number of fries per minute as 100/5 (as there are 5 minutes and 100 fries), assuming she ate at the same rate per minute, she had 20 fries per minute.

To check, multiply 20 by 5, in order to find out her fries per 5 minutes. It should be equal to 100.

Ann [662]3 years ago

6 0

Answer:

20 Fries per minute

Explanation:

20 fries x 1 minute = 100 fries in 5 min

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Answer:

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Step-by-step explanation:

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3 years ago

What is the partial fraction decomposition of StartFraction 8 x + 19 Over (x + 8) (x minus 1) EndFraction? StartFraction 3 Over

hoa [83]

The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

<h3>How to determine the decomposition?</h3>

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

8x + 19 = Ax - A + Bx + 8B

By comparison, we have:

Ax + Bx = 8x

-A + 8B = 19

This gives

A + B = 8

-A + 8B = 19

Add both equations

9B = 27

Divide by 9

B = 3

Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

A = 5

So, we have:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Hence, the partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Read more about partial fraction at:

brainly.com/question/12783868

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Answer:

Step-by-step explanation:

formula s =4*pi*r^2

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4 years ago

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Answer:

Step-by-step explanation:

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