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A toll collector on a highway receives $4 for sedans and $5 for trucks. At the end of a 2-hour period, she collected $108. How many sedans and trucks passed through the toll booth during that period? List all possible solutions.

A.

27 sedans and 0 trucks

B.

2 sedans 20 trucks

C.

3 sedans and 19 trucks

D.

0 sedans and 22 trucks

E.

7 sedans and 16 trucks

F.

17 sedans and 8 trucks

G.

22 sedans and 4 trucks

H.

23 sedans 3 trucks

I.

12 sedans and 12 trucks

J.

13 sedans and 11 trucks

Possible solutions are:

27 sedans and 0 trucks

2 sedans 20 trucks

7 sedans and 16 trucks

17 sedans and 8 trucks

22 sedans and 4 trucks

12 sedans and 12 trucks

A, B, E, F, G, I

Jordan and Amari run a 200-meter race, and Jordan wins by 18 meters. They decide to run the 200-meter race again with Jordan starting 18 meters behind the starting line. Find the correct answer to each of the following parts (a) through (d).

Assuming both runners run at the same pace as they did in the first race, who wins the second race?

A.

Jordan wins the second race because Jordan can run a longer distance in a longer amount of time.

B.

Amari wins the second race because Amari has a shorter distance to run.

C.

Amari wins the second race because Jordan is not fast enough to be able to catch up in time.

D. Jordan wins the second race because Jordan can run a longer distance in a shorter amount of time.

Suppose Jordan starts 13 meters behind the starting line in the second race. Who wins the race?

A. Amari wins the second race because Jordan is not fast enough to be able to catch up in time.

B. Jordan wins the second race because Jordan can run a longer distance in a shorter amount of time.

C. Jordan wins the second race because Jordan can run faster than Amari.

D. Amari wins the second race because Amari has a shorter distance to run.

Suppose Jordan starts 23 meters behind the starting line in the second race. Who wins the race?

A. Amari wins the second race because Amari has a shorter distance to run.

B. Amari wins the second race because Jordan is not fast enough to be able to catch up in time.

C. Jordan wins the second race because Jordan can run faster than Amari.

D. Jordan wins the second race because Jordan can run a longer distance in a shorter amount of time.

28 May 2018

How far behind the starting line must Jordan start so the second race is a tie?

Jordan must start _____meters behind the starting line so the second race is a tie.

(Type an integer or decimal rounded to the nearest hundredth as needed.)

Enter your answer in the answer box and then click Check Answer.

Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 110 kilometers per hour and the other 70 kilometers per hour. At the same time, a canary, starting on one car, flies back and forth between the two cars as they approach each other. If the canary flies 130 kilometers per hour and spends no time to turn around at each car, how far has it flown when the cars collide?How many kilometers has the canary flown?

Answer: 260 kilometers

Suppose that 8 turns of a wire are wrapped around a pipe with a length of 60 inches and a circumference of 4 inches, so that the wire reaches from the bottom of the pipe to the top. What is the length of the wire? (Hint: Picture cutting the pipe along its length and pressing it flat.)How many inches long is the wire?

Answer: 68 inches