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

The wire is _________ inches long?

2.Jordan and Amari run a200-meter race, and Jordan wins by 18 meters. They decide to run the200-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 firstrace, who wins the secondrace?

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 a longer distance in a longer amount of time.

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

3.Suppose a railroad rail is 6 kilometers and it expands on a hot day by 12 centimeters in length. Approximately how many meters would the center of the rail rise above theground?

The center of the rail would rise approximately ________ meters above the ground. (Type an integer or decimal rounded to the nearest tenth asneeded.)

4.A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as typa A with four axles registers four counts. A vehicle classified as type B with seven axles registers seven counts. During a 2-hour period, a traffic counter registered 151 counts. How many typa A vehicles and type B vehicles passed over the trafficcounter? List all possible solutions.

Which of the choices below are possible solutions to theproblem? Select all that apply.

a)31 typa A and 4 type B vehicles

b)29 typa A and 5 type B vehicles

c)1 typa A and 21 type B vehicles

d)22 typa A and 9 type B vehicles

e)19 typa A and 11 type B vehicles

f)0 typa A and 22 type B vehicles

g)15 typa A and 13 type B vehicles

h)3 typa A and 20 type B vehicles

i)36 typa A and 1 type B vehicles

j)8 typa A and 17 type B vehicles

5.Suppose you run 2 miles from your house to afriend's house at a speed of 5 miles per hour. When the time comes to returnhome, you are tired and walk the same 2 miles home at 2 miles per hour. Complete parts(a) through(d) below.

a.How long did you spend running to yourfriend's house?

(Type integer or decimal rounded to the nearest tenth asneeded.)

6.It takes you 52 seconds to walk from the first(ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor(at the samepace, assuming all floors have the sameheight)?

It will take _______ seconds to walk from the first floor to the sixth floor. (Typa integer or adecimal.)

7.A woman bought a necklace for $700 and then sold it for $800 She bought it back for $400 and then sold it again for $900.How much did she gain or lose on thesetransactions?

She lost/gained $________ (Typa a wholenumber.)

8.Suppose you have 40 blue socks and 40 brown socks in a drawer. How many socks must you take from the drawer(without looking) to be sure of getting a pair of the samecolor?

Choose the correct answer below

a)4 socks. Suppose a brown sock is taken from the drawer.Then, a second sock is taken from thedrawer, which is blue. The next sock is alsoblue, but the fourth sock is brown

b)6 socks. Suppose a brown sock is taken from the drawer.Then, a second sock is taken from thedrawer, which is blue. Thethird, fourth, and fifth socks are alsoblue, but the sixth sock is brown

c)3 socks. Suppose a brown sock is taken from the drawer.Then, a second sock is taken from thedrawer, which is blue. A third sock ispulled, which is either brown or blue.

d)2 socks. Suppose a brown sock is taken from the drawer.Then, a second sock is taken from thedrawer, which is also brown.

9.Five books of five different colors are placed on a shelf. The brown book is placed between the gold and pink books, and these three books are consecutive. The orange book is not leftmost on the shelf and the pink book is not rightmost on the shelf. The gray book is separated from the pink book by two books. If the orange book is not next to the gray book, what is the complete ordering of thebooks?

The complete ordering of the books is