Percentages and Fractions
What is 30% of 90%?
27%
What is the factored form of x2-10x-39?
(x-13)(x+3)
Paul plays a video game in which he is awarded 20 points for breaking a access code and 75 points for breaking a classified code.
If Paul has broken 12 codes and earned 735 points, how many classified codes did he break?
9
Triangle PQR has sides, 5, 5, and 5*sqrt(2). If angle P 90 degrees, how many degrees is angle Q?
45
Sophie Germain High School and Carlos Castillo-Chavez high school play each other in soccer twice this season. If Sophie Germain High School is 60% likely to win each individual game and 10% likely to tie each individual game, what is the probability that they will lose both games?
9%
What is 7/8 of 1/3?
7/24
What is (x3+9x+3x2)/x?
x2+3x+9
Priscilla is stocking her garden store with soil and fertilizer for the spring. She plans to buy 2 bags of fertilizer for every 6 bags of soil. If she buys a total of 176 bags in total, how many bags of fertilizer did she buy?
44
A bird is sitting at the top of a tree. A birdwatcher is standing 9 feet away from the tree and looking up at the bird at a 75 degree angle from the ground. About how tall is the tree?
33.588 feet (any answer within one foot is fine)
In bowling, if you have a 90% bowling a strike, what is the probability that you will bowl a turkey (three strikes in a row)?
72.9%
An animal shelter contains only cats and dogs. The shelter has 24 dogs and 16 cats. What fraction of the total number of animals in the shelter is dogs? (Please simplify your answer)
3/5
What is the factored form of x2-196?
(x+14)(x-14)
Delaney attended a fundraiser that sold $2 raffle tickets for regular prizes and $5 raffle tickets for the grand prize. If Delaney spends a total of $28 on at least one of both kinds of raffle tickets, what is the maximum number of $2 raffle tickets she could have bought?
What is volume of a sphere in which on an xy-plane, the center of the sphere is at (0,0) and a point on the surface of the sphere is at (-3,4)? (You may put your answer in terms of pi)
(500/3)*pi OR about 523.6
You have 6 candies in a bag and 2 of them have caramel. If you pull 2 candies out of the bag, what is the probability that neither of them have caramel?
2/5 or 40%
1 quart is what percent of 5 gallons?
5%
Which of the following is a root of x3+2x2-4x-8?
-4, 1, -2, 0, or 8?
-2
At Central High School, 50 students play intramural basketball and 40 students play intramural volleyball. If 10 students play both sports, what is the ratio of the number of the number of students who only play basketball to the number of students who only play volleyball?
4:3
On Triangle ABC, C=90 degrees. If cos(B)=0.88, what is sin(A)?
0.88
How many combinations are there to arrange the four prime numbers less than 10 (2, 3, 5, 7) in order?
24
If 6a=5 and 3b=2, what is a*b?
5/9
What is the expanded form of (x-5)(x+1)(x+5)?
x3+x2-25x-25
Of the 326 children at North Central preschool, 211 have a dog and 174 have a cat. If 83 of the children have neither a cat nor a dog, how many have both?
142
The diameter of the earth is approximately 8,000 miles. The island of Réunion is the approximate opposite of Los Angeles on the globe. Therefore, if it were possible to walk from Los Angeles to Réunion, about how many miles would you walk? (You may express your answer in terms of pi)
4,000*pi miles OR about 12,566 miles
On Monday, there is a 20% of rain, a 60% chance of the S&P 500 closing positive, and a 2% chance of there being no accidents on the 5 freeway. If each of these events are independent from each other, what is the probability that all 3 will hapen?
0.0024 or 0.24%