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Stella [2.4K]
3 years ago
6

Matthew earns $0.10 for each local newspaper he delivers twice a week. His brother earns $0.25 for delivering each Sunday newspa

per. They deliver papers to the same number of houses and together they earn $13.95 per week. How many papers does each boy deliver each week?
A. Matthew: 62 papers; brother: 31 papers

B. Matthew: 58 papers; brother: 29 papers

C. Matthew: 66 papers; brother: 33 apers

D. Matthew: 50 papers; brother: 25 papers
Mathematics
1 answer:
kramer3 years ago
4 0

Let the number of houses the boys deliver newspaper = x

Matthew delivers 2x newspapers

His brother delivers x newspapers,

Matthew earns per paper = $0.10

Matthew delivers twice a week so he earns = 0.10\times2=0.20

His brother earns per newspaper = $0.25

So, equation becomes,

0.20x+0.25x=13.95

0.45x=13.95

x=31

So, there are 31 houses where both these boys deliver newspapers.

Hence, Matthew delivers 2*31= 62 newspapers

His brother delivers 31 newspapers.

So, option A : Matthew: 62 papers; brother: 31 papers is the right option.



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4 0
3 years ago
The magnitude and direction of two forces acting on an object are 100100 ​pounds, S7878degrees°​E, and 5050 ​pounds, N5353degree
amm1812

Answer:

  138.06 lb N86.1°E

Step-by-step explanation:

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A diagram can help immensely.

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  ∠R = arctan(9.300/137.747) ≈ 3.9°

__

We want to express the answer in terms similar to the way the given forces are expressed, so we want the angle relative to north. The resultant is then described by ...

  R = 138.06 lb at N86.1°E

4 0
3 years ago
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