Yvonne's car with an 11-gallon gas tank gets an average of 32 miles per gallon. She travels 12 hours at an average speed of 64 miles per hour. Gas costs $3.25 per gallon. How much does the gasoline cost for this trip?

$78

Step-by-step explanation:

Here we have to find total distance first then find amount of gasoline used based on distance traveled by car in one gallon.

Given

time = 12 hours

speed = 64 miles per hour

we know distance = speed * time

distance = 12*64 = 768 miles.

Thus, car ran 768 miles.

given that car gets an average of 32 miles per gallon.

It means in one gallon gasoline car travels 32 miles.

let the gallons used be x

in 1 gallon gasoline car travels 32 miles.

in 1*x gallon gasoline car travels 32*x miles = 32x

Thus, 32x should be equal to 768 miles as car traveled that much only

32x = 768 miles

x = 768/32 = 24

Thus, gallons of gasoline used is 24.

Cost of 1 gallon gasoline = $3.25

since, gallons found is 24, we multiply lHS and RHS by 24

Cost of 1 *24= 24 gallon gasoline = $3.25*24 = $78

Thus,

cost of 24 gallon is $78 which will be the gasoline cost for the trip.

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92

apex says the answer is true