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PilotLPTM [1.2K]
3 years ago
8

Suppose c was a total membership cost for m the two equations that model c are c=30m+50 an c=20m+100

Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

5 months

Step-by-step explanation:

Given

c = 30m + 50

c = 20m + 100

Required [Missing from the question]

At what month will the cost be equal

To do this, we equate both expressions

c = c

This gives:

30m + 50 = 20m + 100

Collect like terms

30m - 20m = 100 - 50

10m = 50\\

Solve for m

m = \frac{50}{10}

m = 5

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Answer:

The number of liters of 50% antifreeze solution is 50 and the number of liters of 90% antifreeze solution is 150

Step-by-step explanation:

Let

x ----> number of liters of 50% antifreeze solution

y ----> number of liters of 90% antifreeze solution

we know that

50%=50/100=0.50

90%=90/100=0.90

80%=80/100=0.80

x+y=200

x=200-y ------> equation A

0.50x+0.90y=0.8(200) -----> equation B

substitute equation A in equation B and solve for y

0.50(200-y)+0.90y=160

100-0.50y+0.90y=160

0.40y=160-100

0.40y=60

y=150 liters

Find the value of x

x=200-y

x=200-150=50 liters

therefore

The number of liters of 50% antifreeze solution is 50

The number of liters of 90% antifreeze solution is 150

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3 years ago
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Answer:

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Step-by-step explanation:

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Two years of local Internet service cost $685, including the installation fee of $85. What is the monthly fee?
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