An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
The percent and decimal are between 0 and 1.
The percent and decimal are greater than 1 and less than 100.
The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
The correct answer is: The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Vincent ran 24 laps on Monday. This is 66 and two-thirds percent of the maximum number of laps he has run in one day. What is the maximum number of laps Vincent has run in one day?
Number of Laps
33 and one-third percent
33 and one-third percent
33 and one-third percent
16
32
36
40
To find the maximum number of laps Vincent has run in one day, we need to divide the number of laps he ran on Monday by the percentage.
If 24 laps is 66 and two-thirds percent of the maximum number of laps, we can set up the equation:
(66 2/3) / 100 = 24 / x
To solve for x, we can cross multiply:
66 2/3 * x = 24 * 100
(2/3 * x) = 2400 / 66 2/3
To simplify the fraction, 66 2/3 can be expressed as 200/3:
(2/3 * x) = 2400 / (200/3)
To divide by a fraction, we can multiply by its reciprocal:
(2/3 * x) = 2400 * (3/200)
Simplifying:
(2/3 * x) = 72
To solve for x, we can multiply both sides by the reciprocal of 2/3:
x = 72 * (3/2)
x = 36
Therefore, the maximum number of laps Vincent has run in one day is 36.
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
(0.8) (24)
(0.2) (120)
(0.8) (120)
(0.2) (24)
The expression that can be used to find 80% of 120 is (0.8) (120).
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Number of Games Played
20%
20%
20%
20%
20%
16
18
20
24
To find the total number of games Waylon played, we can divide the number of games he played on defense (12) by the percentage.
If 12 games is 60% of the total number of games, we can set up the equation:
(60 / 100) = 12 / x
To solve for x, we can cross multiply:
60 * x = 12 * 100
x = (12 * 100) / 60
x = 20
Therefore, Waylon played a total of 20 games.
The diagram below represents which percent?
An area model with 4 shaded sections and 1 unshaded section.
4%
45%
75%
80%
Based on the information given, the diagram represents 80%.
At a restaurant, servers keep 75% of the tips from each table, and support staff keeps 25%. A $20 tip is left at a table. How much of the tip does the server keep?
Tips
25%
25%
25%
25%
$5
$5
$5
$5
$5
$10
$15
$20