Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.

After the price of a CD player had been reduced to 1/4 of its original price, it was sold for $48. What was the original price?

What is the range of y = 3 (x - 5) 2 + 10? {y € RIO }

The shadow cast by a 1 foot is 8 inches long at the same time the shadow cast by pine tree is 24 feet long what is the height in feet that a pine tree

What is the slope of the line 3x-7y=11

What is 40 times 1/8

recently 5/8 of the items sold at Debbies Sporting Good were baseball caps. at Sasha Sports 7/10 of the items sold were baseball caps which store sold a greater fraction of baseball caps?

You want to find the height of a tower used to transmit cellular phone calls. You stand 100 feet away from the tower and mesure the angle of elevation to be 40°. How high is the tower to the nearest foot

A helicopter leaves central airport and flies north at 180 mi/hr. Twenty minutes later a plane leaves the airport and follows the helicopter at 330mi/hr. How long does it take the plane to overtake the helicopter

A rectangular piece of paper with length 29 cm and width 12cm has two semicircles cut out of it. Find the area of the paper that remains.

Kent earns $49,000 a year and has to pay $45 in taxes for every $1,000. How much taxes does he pay in one year? A. $2,049 B. $2,000 C. $2 205 D. $1,000