You received two receipts for servicing the company cars. in one, four quarts of oil and 40 gallons of gas cost $126.80. on the other, six quarts of oil and 52 gallons of gas cost $166.28. what is the cost of a quart of oil and a gallon of gas?

Answer with explanation:

Let cost of one quart of oil =$ x

Cost of one gallon of gas = $ y

It is given that

→ Four quarts of oil and 40 gallons of gas cost $126.80.

 4 x +40 y=126.80(1)×3

→Six quarts of oil ,and 52 gallons of gas cost $166.28

 6 x +52 y =166.28(2)×2

:12 x +120 y=380.40(1)

:12 x +104 y= 332.56(2)

Equation(1) - Equation(2)

16 y= 47.84

Dividing both sides by , 16 we get

y=2.99

Putting the value of , y in equation (1)

→4x + 40 × 2.99=126.80

→4 x+119.6=126.80

→ 4 x=126.80- 119.6

→ 4x= 7.20

Dividing both sides by 4, we get

→x =1.8

Cost of a quart of oil=$ 1.8

Cost of a gallon of gas= $ 2.99

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: