Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. the rental company charged an initial fee of $43 with an additional fee per hour. if they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?

$3

Step-by-step explanation:

Whenever some type of expenditure is made, there are usually 2 types of costs available: the fixed cost and the variable cost. Former is the constant cost which has to be incurred in order to gain the advantage from the expense. Latter is the cost that varies with the duration of the expense. Therefore, total costs (TC) = fixed costs (FC) + variable costs (VC). VC can be expressed as: VC = price per hour (p) * number of hours (h). So the equation becomes TC = FC + p*h. In this question, FC = $43, TC = $64, h = 7 hours, and p is unknown. So plugging in the values give:

64 = 43 + 7p.

Solving the equation for p gives:

p = 21/7. This implies that p = 3.

Therefore, the hourly fee is $3!!!

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)