Question 1

Simplify each term in the following sequence.

Accepted Answer

The answer of Simplify each term in the following sequence....

Question 2

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

Since there is no given proportion to solve, it is impossible to determine the correct answer.

Question 3

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction. ...

Question 4

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 5

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 6

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 7

A baseball player gets 5 hits in the first 20 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 64 games?
A) 16 hits
B) 21 hits
C) 12 hits
D) 27 hits
E) 9 hits

Accepted Answer

The player gets 5 hits in 20 games, so the rate is 5 hits/20 games = 1 hit/4 games. For 64 games, the number of hits would be 64 games * (1 hit/4 games) = 16 hits.

Question 8

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction. ...

Question 9

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The proportion is 2x + 1 = 5(x-1). Simplifying this equation gives 2x + 1 = 5x - 5. Solving for x gives x = 2. Plugging x = 2 into each equation, we get 2(2) + 1 = 5(2-1), which simplifies to 5 = 5. This shows that C is the correct choice.

Question 10

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 11

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 12

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 13

A solution contains 12 milliliters of alcohol and 16 milliliters of water. If another solution is to have the same concentration of alcohol in water but is to contain 32 milliliters of water, how much alcohol must it contain?
A) 24 milliliters
B) 20 milliliters
C) 19 milliliters
D) 17 milliliters
E) 22 milliliters

Accepted Answer

The concentration of alcohol in the first solution is 12 ml of alcohol to 16 ml of water, which simplifies to a 3:4 ratio. To maintain this ratio with 32 ml of water in the second solution, the amount of alcohol needed is (3/4) * 32 ml = 24 ml.

Question 14

If 100 grams of ice cream contains 13 grams of fat, how much fat is in 350 grams of ice cream?
A) 45.5 grams
B) 48 grams
C) 4 grams
D) 269 grams
E) 14.5 grams

Accepted Answer

To find the amount of fat in 350 grams of ice cream, use the proportion: (13 grams of fat / 100 grams of ice cream) = (x grams of fat / 350 grams of ice cream). Solving for x gives x = (13 * 350) / 100 = 45.5 grams of fat.

Question 15

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 16

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 17

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The proportion is not given, therefore it is not possible to solve the problem. It is only possible to choose the option that represents this statement accurately, which is option C.

Question 18

A basketball player makes 6 of 9 free throws in the first game of the season. If she shoots with the same accuracy in the second game, how many of the 21 free throws she attempts will she make?
A) 32
B) 14
C) 9
D) 24
E) 28

Accepted Answer

The player's shooting accuracy is 6/9, which simplifies to 2/3. If she attempts 21 free throws with the same accuracy, she would make 2/3 of 21, which equals 14.

Question 19

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following proportion. 
A) 
B) 
C)...

Question 20

Solve the following proportion. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The question does not provide the proportion to be solved. Please provide the necessary information.

Quiz 6: Reducing Rational Expressions to Lowest Terms

Simplify each term in the following sequence.

Solve the following proportion.

Simplify the complex fraction. $Simplify the complex fraction.$

Solve the following proportion.

Solve the following proportion.

Solve the following proportion.

A baseball player gets 5 hits in the first 20 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 64 games?

Simplify the complex fraction. $Simplify the complex fraction.$

Solve the following proportion.

Solve the following proportion.

Solve the following proportion.

Solve the following proportion.

A solution contains 12 milliliters of alcohol and 16 milliliters of water. If another solution is to have the same concentration of alcohol in water but is to contain 32 milliliters of water, how much alcohol must it contain?

If 100 grams of ice cream contains 13 grams of fat, how much fat is in 350 grams of ice cream?

Solve the following proportion.

Solve the following proportion.

Solve the following proportion.

A basketball player makes 6 of 9 free throws in the first game of the season. If she shoots with the same accuracy in the second game, how many of the 21 free throws she attempts will she make?

Solve the following proportion.

Solve the following proportion.