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3 years ago

BRAINLIST AND 30 POINTS!

Mathematics

1 answer:

marta [7]3 years ago

8 0

1.b)

Fred has F cards. Bill has B cards. Tim has T cards.

B + F + T = 167

B = 5F

T = 4F - 3

5F + F + 4F - 3 = 167

10F - 3 = 167

10F = 170

F = 17

Fred has 17 cards.

B = 5F = 5(17) = 85

Bill has 85 cards.

T = 4F - 3 = 4(17) - 3 = 65

Tim has 65 cards.

2.a)

length = L

width = W

L = W + 5

perimeter = 2L + 2W = 168

2L + 2W = 168

2(W + 5) + 2W = 168

2W + 10 + 2W = 168

4W = 158

W = 39.5

L = W + 5 = 39.5 + 5 = 44.5

Length = 44.5 inches

Width = 39.5 inches

2.b)

Original rectangle:

width = W

length = 2W

New rectangle:

width = W - 1

length = 2W + 4

perimeter = 198 inches

perimeter = 2L + 2W = 198

2(2W + 4) + 2(W - 1) = 198

4W + 8 + 2W - 2 = 198

6W + 6 = 198

6W = 192

W = 32

L = 2W = 64

width = 32 inches

length = 64 inches

3.a)

Now:

Sam's age = S

John's age = 3S

In 5 years:

John's age = 3S + 5

Sam's age = S + 5

3S + 5 = 2(S + 5)

3S + 5 = 2S + 10

S = 5

Sam's age is 5.

John's age is 15.

This is all I have time for now. Post the rest of the problems in a different post, and I'll try to help later.

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