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Naily [24]
3 years ago
12

Match the number with its opposite -5.4

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0
5.4 is the answer. The opposite of a negative is a positive and vice versa
exis [7]3 years ago
8 0
It’s obviously 5.4 because that’s the opposite of -5.4
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102 Non-Participation

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Step-by-step explanation:

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Slope is change in y over change in x.
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A building has 12 floors above ground level and 4 floors below ground level. The elevator stops 2 floors below ground level. Wha
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3 years ago
Shelley has a collection of dimes, nickels and quarters that is worth $5.25. There are a total of 48 coins. If there are 7 more
Mumz [18]

Answer:

25 dimes

Step-by-step explanation:

Given

Coins: Nickels (N), Quarters (Q) , and Dimes (D)

$0.05 = 1 nickel, $0.10 = 1 dime  and $0.25 = 1 quarter

So, the amount implies:

0.05N + 0.10D + 0.25Q = 5.25

The number of coin implies:

N + D + Q = 48

and

N = 7 + Q

Required

Determine the number of Dimes

0.05N + 0.10D + 0.25Q = 5.25

N + D + Q = 48

N = 7 + Q

Substitute 7 + Q for N in the first and second equation

0.05N + 0.10D + 0.25Q = 5.25

0.05(7 + Q) + 0.10D + 0.25Q = 5.25

0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25

Collect Like Terms

0.10D + 0.25Q+0.05Q = 5.25 - 0.35

0.10D + 0.30Q = 4.90 ----- (1)

N + D + Q = 48

7 + Q + D + Q = 48

Collect Like Terms

D + Q + Q= 48 - 7

D + 2Q= 41

Make Q the subject

2Q = 41 - D

Q = \frac{41}{2} - \frac{D}{2}

Q = 20.5 - 0.50D

Substitute 20.5 - 0.50D for Q in  (1)

0.10D + 0.30Q = 4.90

0.10D + 0.30(20.5 - 0.50D) = 4.90

0.10D + 0.30*20.5 - 0.30*0.50D = 4.90

0.10D + 6.15 - 0.15D = 4.90

0.10D - 0.15D = 4.90 - 6.15

-0.05D = -1.25

Solve for D

D = \frac{-1.25}{-0.05}

D = 25

<em>Hence, there are 25 Dimes</em>

4 0
4 years ago
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