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A car travels 150 miles on 5 gallons of gas. What is the unit rate in miles per gallon?
30mph
Expand: 5(x−4)
5x-20
A semicircle has a diameter of 10 cm. What is its area? (Use π≈3.14)
39.25cm2
A recipe uses 1/2 cup of sugar for every 1/4 batch. How many cups are needed for 1 full batch?
2 cups
Factor the expression: 3x+12
3(x+4)
A rectangular prism has a length of 4, width of 3, and height of 10. What is its total surface area?
164 square units
In the equation y=4.5x, what is the constant of proportionality?
4.5
Simplify: 2(x+5)−3x
-x+10
Two angles are supplementary. One measures (3x+10)∘ and the other is 50∘. Solve for x.
X=40
A map scale is 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
175 miles
Solve the inequality: 10−2x≤18
X >= -4
A composite figure is made of a 5×10 rectangle with a triangle on top (base 10, height 4). What is the total area?
70
A faucet leaks 2/3 of a gallon in 1/6 of an hour. What is the hourly leak rate?
4 gallons
Solve for x: −3(x+4)=2(x−1)
-2
If you slice a rectangular pyramid horizontally (parallel to the base), what 2D shape is the cross-section?
Rectangle