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Neko [114]
4 years ago
5

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectan

gle is ____ inches, and its width is ____ inches.
Fill in the blanks.
Mathematics
1 answer:
Sedbober [7]4 years ago
5 0

Answer:

10 inches by 7 inches

Step-by-step explanation:

Let L and W represent the length and width of the rectangle, in inches.  Then L = W + 3.

The perimeter is P = 2L + 2W, or P = 2(W+3) + 2W = 34 inches.

Solving for W:  2W + 6 + 2W = 34 inches, or

                         4W + 6 = 34 inches, or

                          4W = 28 inches, or W = 7 inches.

Given that L = W + 3, L = (7 inches) + 3 inches = 10 inches.

The length of the rectangle is 10 inches, and its width is 7 inches.

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4. Ariel loves to go to baseball games. This season she has already attended 23 New York Ducks games. If
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Answer: She attended to 7 weekday games.

Step-by-step explanation:

Let's denote our variables as:

Wd = number of weekday games that she attended.

We = number of weekend games that she attended.

We know that in total, she attended to 23 games, so we have:

Wd + We = 23.

"If  Ariel attended nine more weekend games than weekday games" can be written as:

We = Wd + 9.

Then we have the system of equations:

Wd + We = 23.

We = Wd + 9.

The first step would be to replace the second equation into the first one, as:

Wd + We = 23.

Wd + (Wd + 9) = 23

Now we can solve this for Wd.

2*Wd + 9 = 23

2*Wd = 23 - 9 = 14

Wd = 14/2 = 7

She attended to 7 weekday games.

And:

We + 7 = 23

We = 23 - 7 = 16

She attended at 16 weekend games.

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