Ratios/Rates
In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes? Simplify your answer.
2/5
What is the missing number in the proportion? 5/8 = n/48
n=30
3x+2x
5x
The scale factor for a map is 1 cm. = 200 km. On the map, Boston is 1.5 cm. from New York. How far is Boston from New York?
300 km.
What is the GCF (greatest common factor) of 12, 20, and 36?
4
T. Ivy can walk 2 miles in 40 min. How long will it take him to walk 5 miles?
100 min.
Five shovels of sand are mixed with 4 shovels of gravel to make cement. How many shovels of gravel are needed for 45 shovels of sand?
36
4a+7−3a
a + 7
Jeff drew a model of an airplane with a wing of 5 in. He used a scale of 1 inch: 5 feet. Find the actual length of the wing.
25 ft.
What is 6/7 divided by 12?
1/14
Paul used 6 black tiles and 12 white tiles for a pattern. What is the ratio of black tiles to white tiles? Simplify your answer.
1:2
Thirty buses can carry 1500 people. How many people can be carried by 5 buses?
250
24b + 54 - 18b - 37
6b + 17
In a picture, a snake measures 4 in. long. The scale is 1 in. = 2 ft. Find the actual length of the snake.
8 ft.
What is the LCM of 45 and 50
450
The equation "t = 6.2h" gives the time in hours, "t", that a candle will burn if the candle has a height in inches of "h." How long will it take for a 4 inch candle to burn?
24.8 hrs.
Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates 8 trucks can carry?
320
6x−3(2x−4)
6x−6x+12=12
Two towns are 20 miles apart. On a map with the scale 1 inch = 40 miles, how many inches apart are the towns?
1/2 in.
Convert 12/17 in decimal (3 decimal places)
The equation "d = 55t" gives the distance in miles, "d", that a car can travel in "t" hours. How long will it take to go 247.5 miles?
4.5 hrs.
What is the missing number in the proportion: 6/8 = n/20
15
4m+3(n−2)+5m−2n
4m+3n−6+5m−2n=9m+n−6
On Fiona's map, the distance from her office to her house measures 3.5 in. The map scale is 1 in. = 16 mi. If Fiona drives back and forth, how many total miles will her round trip be?
112 miles
(42.7 x 0.8) / 2.4 (2 decimal places)
14.23