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Kisachek [45]
3 years ago
8

Jin has 34 feet of garden fence. He wants the shape of his garden to be a rectangle 5 feet wide.

Mathematics
1 answer:
seraphim [82]3 years ago
8 0
C) 12 feet
Form equation 34=2x+10 (2 unknown lengths which are x and two 5 feet widths. They add up to his 34 feet of fence total).
Subtract 10 from both sides to whet 24=2x.
Divide both sides by 2 to isolate x and get the length is 12 feet.
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A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes
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Answer: 50 large box

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

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y = number of small boxes

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Now, the pounds for each kind of box is:

(pounds per box)*(number of boxes)

So,

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It is important to find two equations so we can solve for two variables.

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x:

x = 115 - y [from eq1]

50(115-y) + 25y = 4125 [from eq2]

5750 - 50y + 25y = 4125 [distribute]

5750 - 25y = 4125

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y = 65 [divide both sides by (-25)]

There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 115 - y

x = 115 - 65

x = 50

There are 50 large boxes.

Check (very important):

Is 50+65 = 115 ? [eq1]

115 = 115 ?yes

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2500 + 1625 = 4125 ?

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