Module 6: Apply Ratios and Rates to Measurement
Jon conducted a survey of 180 people in which he asked about their favorite type of exercise. 60 said jogging, 40 said cycling, and 80 said aerobics. Jon wants to make a circle graph of these data. What angle measure should be used for the aerobics section?
A. 80 degrees
B. 120 degrees
C. 160 degrees
D. 240 degrees
C. 160 degrees
On a necklace of 100 beads, 45 beads are round. The rest of the beads are rectangular. What percent of the beads are round? What percent are rectangular?
Round: 45%
Rectangular: 55%
What is the expression equivalent to 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
38
Which of the following measurements is equivalent to 528 feet? Select all that apply.
A. 176 yards
B. 5,280 inches
C. 44 inches
D. 0.1 mile
E. 6,336 inches
A. 176 yards
D. 0.1 mile
E. 6,336 inches
There are 80 marbles in a bag. If 30% of the marbles are green, how many marbles are not green?
56 marbles are not green
Write two equivalent expressions, one exponential and one a product of factors, for "4 to the 5th power." Evaluate the expression.
45 = 4 x 4 x 4 x 4 x 4 = 1,024
Adam runs 6.75 kilometers each day for 4 days. On the fifth day, 9.5 kilometers. How many kilometers has he has run altogether?
36.5 kilometers
Lamar earns 40% of his money moving furniture. If he earns $150 in total, how much money did he earn moving furniture?
$60
Evaluate the expression.
13 - 2 x 5 + 72
52
A comparison of two quantities by division is a(n)
ratio
In a jar, 25% of the marbles are red. If there are 45 red marbles in the jar, how many marbles are in the jar all together?
A. 60
B. 70
C. 180
D. 1,125
C. 180
Alix has x dollars per week available for lunch. She spends $3 every weekday. Write an algebraic expression to represent how much money she has left over at the end of the week.
x - 5 . 3, or x - 15
A small ice cream shop sold 120 ice cream cones. It sold 43 vanilla cones, 53 chocolate cones, and 25 strawberry cones. What angle measure should be used for chocolate cones in a circle graph of the data?
159 degrees
On a 747 airplane, 20% of the seats are business class. If 80 passengers can ride in business class, how many passengers can the plane carry?
400 passengers
Do the expression 6x - 4x and 12x / 6 have the same value when x = 6.
6x - 4x = ___ when x = 6
12x / 6 = ___ when x = 6
The expression 6x - 4x and 12x / 6 DO or DO NOT have the same value when x = 6.
6x - 4x = 12 when x = 6
12x / 6 = 12 when x = 6
The expression 6x - 4x and 12x / 6 DO have the same value when x = 6