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alexandr1967 [171]
3 years ago
14

Gas costs $6 per gallon and diesel costs $8 per gallon. You have at most $85 to spend on fuel. You must purchase at least 12 gal

lons of gas for your car to run for the week. Let x be the amount of gas purchased and y be the amount of diesel purchased. Which of the following is a possible solution?

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

(12,1.625)

Step-by-step explanation:

According to the given statement:

Cost of gas per gallon = $6

Cost of diesel per gallon = $8

Cost of x gallon gas  = 6x

Cost of y gallon diesel = 8y

You have at most $85 to spend on fuel

Therefore the equation we get is:

6x+8y≤85

You must purchase at least 12 gallons of gas for your car

x≥12

Plot the graph and you get possible solutions:

(12,1.625)..

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The type of land form that Caleb most likely draws is a hill. The answer is option C- a hill.

Step-by-step explanation:

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  • If the contour lines are drawn close, then steeper the figure is. And more distant the lines are drawn, then less steep the figure is.
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3 years ago
An academy requires there to be 3 teachers for every 72 students and 5 tutors for every 60 students. How many students does the
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For every 24 students there is one teacher. For every 12 students is one tutor. If the Academy had 132 students then you will need 11 tutors.
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3 years ago
Hello me find the volume of the cone plz
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Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
erastovalidia [21]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

5 0
3 years ago
A group of students reclycled 7 2/3 pounds of glass and 9 3/4 pounds of paper. How many pounds of glass and paper did the studen
ozzi

Answer:

17 and 5/12

Step-by-step explanation:

I used a calculator.

8 0
3 years ago
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