QR20 PS 21 to 30

A company sells radios for $15.00 each. It costs the company $14.00 per radio to produce 1,000 radios and $13.50 per radio to produce 2,000 radios. How much greater will the company’s gross profit be from the production and sale of 2,000 radios than from the production and sale of 1,000 radios?

(PS01949)

Which of the following represent positive numbers?

I. −3 − (−5)

II. (− 3)(−5)

III. −5 − (−3)

PS06555

Point X lies on side BC of rectangle ABCD, which has length 12 and width 8. What is the area of triangular region AXD ?

PS09983

A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated.  If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?

The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?

PS05129

For what value of x between − 4 and 4, inclusive, is the value of  x² − 10x + 16 the greatest?

PS13917

If x = -5/8 and y = -1/2,what is the value of the expression -2x – y²?

PS15994

If x-y= R and xy=S, then (x-2)(y+2)=

PS13686

For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab ?

I. 24

II. 30

III. 36

PS01466

List S consists of the positive integers that are multiples of 9 and are less than 100. What is the median of the integers in S ?

PS01867