Alex is renting a kayak from barry’s boots, who charges $7.49 per hour plus an initial rental fee. for 2 hours it will cost him $35.18. what is the initial fee alex will pay?

In this question, we're trying to find the initial fee.

We know that the kayak has an hourly charge of $7.49 + a 1 time initial fee.

He rents the kayak for 2 hours.

He pays a total of $35.18

Lets turn this into an equation:

35.18 = 7.49(2) + x

In this case, we're trying to find "x" (x = initial fee)

Solve the equation:

35.18 = 7.49(2) + x

35.18 = 14.98 + x

Subtract 14.98 from both sides

20.2‬ = x

This means that the initial fee was $20.20

$20.20‬

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

simplifying

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

reorder the terms:

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

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .