Adam and Beth eachdrove from Smallville to CrownCityby different routes. Adam drove an anaverage speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it tookher 20 minutes more than Adam to complete the trip. How many miles per hour was Beth's averagespeed on this trip?

When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was ~$\frac{1}{5}$~ taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

If the operation ~$\circledast$~ is defined for all integers a and b by a~$\circledast$~b =a + b - ab which of the following statements must be true for all integers a, b, and c ?

I. ~$a\circledast b=b\circledast a$~

II. ~$a\circledast 0=a$~

III. ~$\left ( a\circledast b \right )\circledast c=a\circledast \left ( b\circledast c \right )$~

The main ingredient in acertain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of the ingredient, what is the cost of the ingredient in a capsule? (1 kilogram =10⁶ milligrams)

Ina certain state, gasoline stations compute the price per gallon p, in dollars,charged at the pump by adding a 4 percent sales tax to the dealer's price pergallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer'sprice per gallon d in terms of the price per gallon p charged at the pump?

A metal company's oldmachine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at aconstant rate of 150 bolts per hour. Ifboth machines start at the same time and continue making bolts simultaneously,how many minutes will it take the two machines to make a total of 300 bolts?

Julia purchased a car on aninstallment plan. She made a downpayment of $2,550 and then made n monthly payments of $155 each. If Julia paid a total of $9,060 for the car,how many monthly payments did she make?

Of the 13 employees in acertain department, 1 has an annual salary of $38,000, 2 have an annual salaryof $45,000 each, 2 have an annual salary of $42,500 each, 3 have an annualsalary of $40,000 each, and 5 have an annual salary of $48,500 each. What is the median annual salary for the 13employees?

Forwhich of the following functions f is ~$f\left ( x \right )=f\left ( 1-x \right )$~ for all x ?

The architects of a certaintype of building estimate construction costs to be $2.0 million per floor foreach of the first 5 floors, $2.5 million per floor for each of the next 3floors, and $3.5 million per floor for any additional floors. What would the architects estimate theconstruction costs to be for a building of this type with 10 floors?