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Homework answers / question archive / Question 21 2 / 2 pts A bicyclist traveled a distance of D = 44

Question 21 2 / 2 pts A bicyclist traveled a distance of D = 44

Math

Question 21

2 / 2 pts

A bicyclist traveled a distance of D = 44.3 miles for T = 4.0 hours at a constant rate. Use the formula
D = R · T
to find the speed (R) of the bicyclist in miles per hour. Round your answer to the nearest tenth. Do not include the units in your answer.

 

Question 22

2 / 2 pts

A train traveled a distance of D = 101 miles at a constant rate of speed of R = 34 miles per hour. Use the formula
D = R · T
to find the total amount of time (T) that the trip took (in hours). Round your answer to the nearest tenth. Do not include the units in your answer.

 

The following questions are review questions.

 

Question 23

1 / 1 pts

Evaluate the following expression:
2/11 − 11/11 LaTeX: = \frac{?}{11}= ? 11
In the space below, enter the value of the numerator in your answer. Do not include the division sign or the denominator. For example, if the answer was LaTeX: \frac{1}{11} 1 11, you would enter the number 1 in the space below.

 

Question 24

2 / 2 pts

Add. Simplify your answer as necessary.
LaTeX: \frac{2}{5} + \frac{5}{8} 2 5 + 5 8

  

LaTeX: \frac{7}{13} 7 13

  

LaTeX: \frac{1}{4} 1 4

  

LaTeX: \frac{-9}{40} − 9 40

  

LaTeX: \frac{41}{40} 41 40

 

Question 25

2 / 2 pts

Subtract. Simplify your answer as necessary.
LaTeX: \frac{4}{3} - \frac{5}{8} 4 3 − 5 8

  

LaTeX: \frac{9}{11} 9 11

 

LaTeX: \frac{17}{24} 17 24

  

LaTeX: \frac{5}{6} 5 6

  

LaTeX: \frac{47}{24} 47 24

 

Question 26

1 / 1 pts

Multiply. Simplify your answer as necessary.
LaTeX: \frac{6}{25}6 25 · LaTeX: \frac{5}{9}5 9 = ?

  

LaTeX: \frac{6}{5}6 5

  

LaTeX: \frac{2}{15}2 15

  

LaTeX: \frac{11}{225}11 225

  

LaTeX: \frac{54}{125}54 125

  

LaTeX: \frac{29}{225}29 225

 

Question 27

1 / 1 pts

Multiply. Simplify your answer as necessary.
LaTeX: \frac{4}{9}4 9 · 6 = ?

  

1

  

LaTeX: \frac{10}{9}10 9

  

LaTeX: \frac{2}{27}2 27

  

LaTeX: \frac{23}{9}23 9

  

LaTeX: \frac{8}{3}8 3

 

Question 28

1 / 1 pts

Divide. Simplify your answer as necessary.
LaTeX: \frac{11}{10}11 10 ÷ LaTeX: \frac{1}{3}1 3 = ?

  

LaTeX: \frac{11}{30}11 30

  

LaTeX: \frac{10}{33}10 33

  

LaTeX: \frac{33}{10}33 10

  

LaTeX: \frac{43}{30}43 30

  

LaTeX: \frac{32}{10}32 10

 

Question 29

1 / 1 pts

Divide. Simplify your answer as necessary.
7 ÷ LaTeX: \frac{8}{7}8 7 = ?

  

8

  

LaTeX: \frac{8}{49}8 49

  

LaTeX: \frac{57}{7}57 7

  

LaTeX: \frac{48}{8}48 8

  

LaTeX: \frac{49}{8}49 8

 

Question 30

1 / 1 pts

Solve for the variable.
–5E + 21 = –4

 

Question 31

1 / 1 pts

Solve for the variable.

LaTeX: \frac{-7}{6} = \frac{-1}{3} + H− 7 6 = − 1 3 + H

  

LaTeX: \frac{-3}{2}− 3 2

  

LaTeX: \frac{-5}{6}− 5 6

  

LaTeX: \frac{-6}{5}− 6 5

  

LaTeX: \frac{6}{5}6 5

  

LaTeX: \frac{5}{6}5 6

 

Question 32

1 / 1 pts

Solve for the variable.
LaTeX: \frac{5}{4} = \frac{-1}{3} B5 4 = − 1 3 B

  

LaTeX: \frac{-4}{15}− 4 15

 

LaTeX: \frac{-15}{4}− 15 4

  

LaTeX: \frac{15}{4}15 4

  

LaTeX: \frac{19}{12}19 12

  

LaTeX: \frac{-5}{12}− 5 12

 

Question 33

1 / 1 pts

Solve for the variable.
LaTeX: 2 = -3 a - \frac{4}{3}2 = − 3 a − 4 3

  

LaTeX: \frac{-2}{9}− 2 9

  

LaTeX: \frac{-10}{9}− 10 9

  

-10

  

LaTeX: \frac{2}{3}2 3

 

LaTeX: \frac{10}{9}10 9

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