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3 years ago

Charles can move 16 boxes in 4/3 of an hour. How many boxes can he move in one hour

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

5 0

Answer:

Your answer is 4

Step-by-step explanation:

In one hour he made 4 boxes two hours he made 8 just add four from there

kondaur [170]3 years ago

4 0

Answer:

12 boxes in 1 hour

Step-by-step explanation:

he moves 16 boxes in 1 and a third hour.

1/3 hour = 4 boxes so one hour would be 12 boxes.

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2 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

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$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
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By doing this you solve for both the width and length so the answer is:
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3 years ago

Beth filled 32 jars with paint. If each jar holds 1 pint of paint how many gallons of paint did Beth use

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