Probability
Stephanie has 3 shirts colored black, white, grey, and 4 pairs of pants, cargo, sweatpants, joggers, baggy pants. She chooses one shirt and one pair of pants at random. What is the probability that Stephanie will choose a white shirt and joggers?
The probability that Stephanie will choose a white shirt and joggers is 1/12.
3x + 7 = 25
x = 6
A right triangle has one leg that is 5 cm and another leg that is 12 cm.
What is the length of the hypotenuse?
The length of the hypotenuse is 13 cm.
A cube has side lengths of 5.5 cm.
What is the volume of the cube?
V ≈ 166.38 cm3
Peter buys a pair of shoes that cost $120 before tax. The sales tax rate is 13%.
What is the total cost of the shoes after tax?
The total cost of the shoes after tax is $135.60.
There are 30 raffle tickets. 5 tickets belong to Amanda, 10 tickets belong to Claire and 15 to other random people. One ticket is drawn. What is the probability that Amanda or Claire wins the raffle?
The probability that Amanda or Claire would win is 1/2.
(2x - 5) / 3 = 7
x = 13
A right triangle has a hypotenuse of 17 cm and one leg that is 8 cm.
What is the length of the other leg?
The length of the other leg is 15 cm.
A rectangular box has a volume of 240 cm3. Its length is 10 cm and its height is 4 cm.
What is the width of the box?
W = 6 cm
Joshua deposits $1,000 into a savings account that earns 3% simple interest per year.
How much will he earn after 2 years? What will his total balance be?
Joshua will earn $60 after 2 years and his total balance will be $1,060.
A spinner is divided into 8 equal sections. The sections are labed: red, red, blue, blue, green, green, yellow, yellow.
You spin the spinner twice. What is the probability that you land on two different colors?
The probability that you land on two different colors is 3/4.
Sophia and her brother Brian are saving money. Sophia starts with $50 and saves $10 each week. Brian starts with $80 and saves $5 each week.
After how many weeks will they have the same amount of money?
If you are using a T-table chart, please figure out the algebraic formula to answer this question.
They will have the same amount of money in 6 weeks
Car A drives east at a constant speed and travels 60 km.
Car B drives north at a constant speed and travels 80 km.
How far apart are the two cars after their drives?
The two cars are 100 km apart after their drives.
A can has a radius of 4 cm and a height of 10 cm.
What is the total surface area of the can (including top and bottom)?
SA = 351.68 cm2
After a concert, Amanda and her friend go out to McDonald's. They each order a quarter pounder with cheese meal combo, which costs $13 before tax.
What is the total cost including tax, and how much does each person pay if they split it evenly?
The total cost with tax is $29.38, and if they split the bill evenly, each person pays $14.69.
A group of 13 friends is playing “Magic Man.”
The roles people have: Mingyu is the Magic Man, Joshua is the healer and Hoshi is the mayor.
Each player votes randomly for someone other than themselves. Hoshi, who is the mayor, gets to give someone an extra vote, but he also votes once just like everyone else.
What is the probability that Hoshi votes for Mingyu and any one of the 12 other players does too?
The probability of Hoshi and the other players voting Mingyu is 1/12.
4(x - 2) = 2x + 6
x = 7
A ramp is 10 meters long and reaches up to a platform that is 6 meters high.
How far is the base of the ramp from the platform?
The base of the ramp is 8 meters from the platform.
A solid figure is made of stacking a cube (3 cm sides) on top of a rectangular prism (4 cm x 6 cm x 2 cm).
What is the total volume of the figure?
The total volume is 75 cm3.
Ava wants to take her friend to the movies to watch THE SHADOW'S EDGE. Tickets cost $13.50 each, and one snack combo costs $22.23 per person. Ava has $50 in her wallet.
If they split the total cost evenly, how much should Ava's friend chip in?
If they split the total cost evenly, Ava's friend should pay $35.73
There are 15 crayons in a bag: 4 olive green, 6 salmon & 5 macaroni and cheese. If you pick one crayon, then another crayon without putting the first one back, what is the probability that both crayons are olive green or both crayons are salmon?
The probability that both crayons are olive green or both crayons are salmon is 1/5.
5(x + 3) = 3(x + 7)
x = 3
A rectangular TV screen is 48 cm wide and 36 cm tall.
What is the diagonal length of the screen?
The diagonal length is 60 cm.
A triangular prism has a height of 10 cm. Its triangular base has a base of 6 cm and a height of 4 cm, and the triangle's sides are each 5 cm long.
What is the surface area of the prism?
The surface area of the prism is 184 cm2.
SEVENTEEN, a group of 13 members, went out for dinner at a fancy restaurant; they spent $800 on steak, $44.90 on wine, $49.89 on appetizer, $149.68 on main course and $11.97 on dessert. The restaurant charges a 10% tax on the total bill.
What is the total cost of the meal including tax?
If they split the bill evenly, how much does each member pay?
The total cost plus tax is $1,162.08, and each member should pay $89.39 for their dinner.