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Amanda [17]
3 years ago
15

You have $30 to spend on gas for your vehicle this week. If gas costs $2.42 per gallon, how many gallons of gas can you buy? Rou

nd your answer to the nearest gallon.
Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

12 gallons of gas can be bought from $30 where gas costs $2.42 per gallon.

<u>Solution:</u>

The gallons of gas bought can be calculated by dividing the total amount possessed by cost of gas per gallon.

Here total amount possesses is $30 and cost of gas per gallon is $2.42.

Gallons of gas bought = \frac{Total\ amount\ possessed}{Cost\ of\ gas\ per\ gallon}

\bold{\frac{30}{2.42} = 12.3966 = 12}

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Step-by-step explanation:

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Please select the best answer from the choices provided
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Step-by-step explanation:

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Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer
GaryK [48]

Answer:

x = -7/5

Step-by-step explanation:

3( x - 6 ) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

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-5x - 10x = 3 + 18

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3 0
2 years ago
The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

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9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
3 years ago
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