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irakobra [83]
3 years ago
13

What is the value of a equation of a in the equation 5a - 10b = 45 when b = 3

Mathematics
2 answers:
Helen [10]3 years ago
4 0
5a-10b = 45
b= 3
5a-30 = 45
5a=75
a= 15
inysia [295]3 years ago
3 0
15. 

You'd get this by multiplying the -10 by 3 then adding it to both sides. Then divide by 5. 
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Part A)

The mileage for city use is 16.81 L per 100 km. In other words, if you traveled 100 km in the city, then you use up 16.81 liters of gas.

We can set up this equation

16.81 liters = 100 km

Multiply both sides by 3 so that the "100 km" turns into "300 km"

16.81 liters = 100 km

3*16.81 liters = 3*100 km

50.43 liters = 300 km

<h3>Answer: 50.43 liters</h3>

==================================

Part B)

Multiply the answer in part A by the cost per liter, which is $1.01

Total cost = (cost per liter)*(number of liters)

Total cost = (1.01)*(50.43)

Total cost = 50.9343

Total cost = 50.93

<h3>Answer: 50.93 dollars</h3>

==================================

Part C)

We're effectively repeating part A, but now we're using the highway mileage value.

11.8 liters = 100 km

3*11.8 liters = 3*100 km

35.4 liters = 300 km

<h3>Answer: 35.4 liters</h3>

==================================

Part D)

We follow similar steps as we did in part B. Use the value in part C to get

Total cost = (cost per liter)*(number of liters)

Total cost = (1.01)*(35.4)

Total cost = 35.754

Total cost = 35.75

<h3>Answer: 35.75 dollars</h3>

==================================

Part E)

Subtract the results of parts B and D

50.93 - 35.75 = 15.18

<h3>Answer: 15.18 dollars</h3>
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Step-by-step explanation:

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