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lorasvet [3.4K]
3 years ago
5

Solve the inequality 3(x+2)>0

Mathematics
1 answer:
Goryan [66]3 years ago
4 0
Distribute
3x+6>0

Subtract 6 from both sides
3x>-6

Divide both sides by 3
x>-2

Final answer: x>-2
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Answer:

Justin spends $14.24 on gas to travel to work.

Step-by-step explanation:

Given:

Average speed at which Justin goes to work = 65 miles/hour

Time taken by Justin to arrive at work = 1 hour and 30 minutes = 1.5 hours [As 30 minutes =0.5 hours]

Distance he can travel per gallon of gas = 25 miles.

Cost of per gallon of gas = $3.65

Solution:

We first determine the distance Justin travels to work.

Distance = Speed\times time

Distance = 65\times 1.5 = 97.5\ miles

Using unitary method to find the amount of gas required to cover the distance.

If 25 miles is covered in 1 gallon of gas

Then 1 mile will be covered in = \frac{1}{25} gallons of gas

So, to cover 97.5 miles gas required = \frac{1}{25}\times 97.5=3.9 gallons of gas.

Using unitary method to find the cost of 3.9 gallons of gas.

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