There is a total of 75 seats in a movie theater and 60% of them are empty. How many seats in the theater are occupied?
30 seats
Evaluate for n=4, x=-16:
root n x
Not real
Solve the following proportion. Reduce all fractions to lowest terms and input as improper when necessary.
(7/6)/x=(2 1/3)/(1 1/2)
3/4
If (2/3)x+16=24, then what is the value of -6+(x/4)?
-3
You throw two dice. What is the probability of rolling 2 numbers that add up to three?
1/18
Find the measure of X.
Simplify:
m^3nm^5 n^3 m
m^9n^4
The ratio of frogs to fish in the lake is 7 to 6. If there are 273 frogs and fish in all, then how many fish are in the lake?
The speed of the aircraft is 560 mph. How long would it take to travel 4,480 miles?
What does the graph of the inequality look like?
x>=-5(1-3)
closed circle, shade right
Find the measure of angle δ and state what the relationship is between δ and the angle ε.
80 degrees, alternate exterior
Simplify:
3/8+root 3(27/64)
9/8
Find the surface area of the right solid below. Dimensions are in meters.
320 square meters
Seven less than a number is 54. What is the number?
Fill in the y-values for the points that are on the line y=3x-8
(-1,___)
(4,____)
-11 and 4
A semicircular park has a diameter of 7 ft. What would be the length of a fence needed to surround the park? Use 3.14 for pi . Round your answer to the nearest tenths place.
18.0 feet
Find the area of the trapezoid. Dimensions are in feet.
40 square feet
Find the volume of the right circular cone. Dimensions are in inches. Use 3.14 for pi.
100.48 cubic inches
Arrange the set of values and find its median and mean.
1, 2, 5, 1, 3, 4, 6, 1, 2, 5
median: 2.5
mean: 3
Describe the graph:
x≰-5
open circle, shade right
Simplify:
(3×2^4-2^3 )×2^(-2)
10
Find the area of a semicircle with a radius of 20 in. Use 3.14 for pi.
628 square inches
Evaluate for c=-12, d=-1/3.
-c-cd
The average of three numbers is 5. The average of another six numbers is 8. What is the overall average of both given sets of numbers?
7
Find b.
13.8