You pay $24.50 for 10 gallons of gasoline and one
quart of oil at a gas station. your friend pays $22 for 8
gallons of the same gasoline and 2 quarts of the same
oil. find the cost of l quart of oil.

1 quart of oil is $2.

Step-by-step explanation:

Represent the problem with equations.

let x be a quart of oil and g be a gallon of gasoline

(1) 24.5 = 10g + x

(2) 22 = 8g + 2x

We need to solve this system of equations to get x.

I can solve by elimination by making both equations have 2x.

Multiply equation (1) by 2. Equation (2) remains the same.

(1) --> 49 = 20g + 2x

(2)     22 = 8g + 2x

Subtract (2) from (1) to get:

27 = 12g  <= isolate g

g = 27/12

g = 9/4

Substitute g = 9/4 in (2)

22 = 8g + 2x

22 = 8(9/4) + 2x

Now simplify and isolate x.

22 = 18 + 2x

2x = 4

x = 2

x represents one quart of oil.

Therefore, one quart of oil is $2.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

which expression represents the approximate length of bc?

step-by-step explanation: