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3 years ago

6

sarah and her friends picked 3 3/4 pints of blueberries. after they ate some of the blueberries, only 2 1/3 pints remained. how

many pints of blueberries did sarah and her friends eat? enter your answer in the box.

1 answer:

wel3 years ago

7 0

Ok, so we have 3 3/4 - 2 1/3. We have to make 3/4 and 1/3 equal so we can divide. So we are going to take the denominators, 3 and 4, and multiply them. 3/4 would equal 9/12 and 1/3 would equal 4/12. Now do 9/12 minus 4/12. That would equal ___. We also have the whole numbers which are 3 and 2. 3-2 equals 1. So the answer would be 1___.

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3 years ago

What are the solutions to the system <br> y=x^2-6x+7<br> y=-x+13

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A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos

vova2212 [387]

Answer:

36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

w(52 -w) = 576

w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

w² -52w +26² = 26² -576 . . . . . . complete the square

(w -26)² = 676 -576 = 100

w = 26 ±√100 = {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

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3 years ago

Simplify.Your answer should contain only positive exponents.

zhannawk [14.2K]

Step-by-step explanation:

1) $r^3r^3$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=r^{3+3}$

$=r^6$

2) $3k^3k^3$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=3k^{3+3}$

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3) $\left(3b^2\right)^3$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n$

$=3^3\left(b^2\right)^3$

$=27\left(b^2\right)^3$

$=27b^6$

4) $\left(2m^3\right)^3$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n$

$=2^3\left(m^3\right)^3$

$=8\left(m^3\right)^3$

$=8m^{3\cdot \:3}$

$=8m^9$

5) $\frac{3r^3}{r^2}$

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$=3r^{3-2}$

$=3r^1$

$=3r$

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3 years ago

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erica [24]

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