Question 1

A man drives his car 123 miles in 3 hours. At this rate, how far will he travel in 11 hours? __________ miles

Accepted Answer

The answer of A man drives his car 123 miles...

Question 2

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion. ...

Question 3

Solve the following proportion.  x = __________

Accepted Answer

The answer of Solve the following proportion.  x =...

Question 4

The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 95 miles. Two cities are 7.5 inches apart on the map. What is the actual distance between the two cities? __________ miles

Accepted Answer

The answer of The scale on a map indicates that...

Question 5

The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 125 miles. Two cities are 7.5 inches apart on the map. What is the actual distance between the two cities?
A) 405 miles
B) 440 miles
C) 380 miles
D) 17 miles
E) 937.5 miles

Accepted Answer

To find the actual distance between the two cities, multiply the distance on the map (7.5 inches) by the scale factor (125 miles per inch). This gives 7.5 * 125 = 937.5 miles.

Question 6

A solution contains 15 milliliters of alcohol and 20 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? __________ milliliters

Accepted Answer

The answer of A solution contains 15 milliliters of alcohol...

Question 7

A man drives his car 215 miles in 5 hours. At this rate, how far will he travel in 8 hours?
A) 172 miles
B) 436 miles
C) 134 miles
D) 238 miles
E) 344 miles

Accepted Answer

The man drives 215 miles in 5 hours, so his speed is 215/5 = 43 miles per hour. In 8 hours, he will travel 43 * 8 = 344 miles.

Question 8

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion. ...

Question 9

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion. ...

Question 10

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 540 miles, how far apart are they on the map? __________ inches

Accepted Answer

The answer of A map is drawn so that every...

Question 11

Solve the following proportion.  x = __________

Accepted Answer

The answer of Solve the following proportion.  x =...

Question 12

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion. ...

Question 13

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 15 free throws she attempts will she make? __________ free throws made

Accepted Answer

The answer of A basketball player makes 6 of 9...

Question 14

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 220 miles, how far apart are they on the map?
A) 18.8 inches
B) 63 inches
C) 7.7 inches
D) 16.6 inches
E) 2.2 inches

Accepted Answer

If every 3.5 inches on the map corresponds to 100 miles, then 1 inch on the map corresponds to:
100 miles/3.5 inches = 28.57 miles/inch

To find how far apart the cities are on the map, we can set up a proportion:
distance on map / actual distance = 1 inch / 28.57 miles

Let's call the distance on the map "x":
x / 220 miles = 1 inch / 28.57 miles

To solve for x, we can cross-multiply:
x = 220 miles * 1 inch / 28.57 miles
x ≈ 7.7 inches

Therefore, the distance between the two cities on the map is 7.7 inches. The answer is C).

Question 15

A baseball player gets 8 hits in the first 40 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 85 games? __________ hits

Accepted Answer

The answer of A baseball player gets 8 hits in...

Question 16

Solve the following proportion.  x = __________

Accepted Answer

The answer of Solve the following proportion.  x =...

Question 17

If 100 grams of ice cream contains 13 grams of fat, how much fat is in 650 grams of ice cream? __________ grams

Accepted Answer

The answer of If 100 grams of ice cream contains...

Question 18

Solve the following proportion.  x = __________

Accepted Answer

The answer of Solve the following proportion.  x =...

Question 19

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion. ...

Question 20

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion. ...

Quiz 6: Reducing Rational Expressions to Lowest Terms

A man drives his car 123 miles in 3 hours. At this rate, how far will he travel in 11 hours? __________ miles

Solve the following proportion.

Solve the following proportion. x = __________

The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 95 miles. Two cities are 7.5 inches apart on the map. What is the actual distance between the two cities? __________ miles

The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 125 miles. Two cities are 7.5 inches apart on the map. What is the actual distance between the two cities?

A solution contains 15 milliliters of alcohol and 20 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? __________ milliliters

A man drives his car 215 miles in 5 hours. At this rate, how far will he travel in 8 hours?

Solve the following proportion.

Solve the following proportion.

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 540 miles, how far apart are they on the map? __________ inches

Solve the following proportion. x = __________

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 15 free throws she attempts will she make? __________ free throws made

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 220 miles, how far apart are they on the map?

A baseball player gets 8 hits in the first 40 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 85 games? __________ hits

Solve the following proportion. x = __________

If 100 grams of ice cream contains 13 grams of fat, how much fat is in 650 grams of ice cream? __________ grams

Solve the following proportion. x = __________

Solve the following proportion.

Solve the following proportion.