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Snowcat [4.5K]
4 years ago
5

A certain field is a rectangle with a perimeter of 1008 feet. the length is 166 feet more than the width. find the width and len

gth of the rectangular field.
Mathematics
1 answer:
Vsevolod [243]4 years ago
4 0
L + W + L + W = 1,008 feet
A) 2L + 2W = 1,008 feet
B) L = W + 166

Multiplying Equation B by -2

B) -2L = -2W -332

B) -2L + 2W = -332 then adding equation A
A) 2L + 2W = 1,008 feet

4W = 676
Width = 169
Length = 169 + 166 = 335



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in the school cafeteria students chose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. how many different lunche
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Answer:

Answer:

3

×

3

×

4

×

2

=

72

Explanation:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

×

4

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2

=

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