Algebra
Solve for the variable f.
8f - 16 = 6f + 2
f= 9
If you throw two coins in the air, what is the probability of getting both tails?
¼
A ship sails 6km East and then 8km North. Find the ship’s distance from its starting point.
The ship is 10km from its starting point.
If the radius of a circle is 3cm, what is its surface area?
18.84 cm2
Sarah bought pants from Nofrills that cost $47.00. Sarah also used a 35% discount on the pants. How much did the pants cost, including the discount and after tax (13%)? (ROUND YOUR ANSWER TO 2 DECIMAL PLACES)
The pants cost Sarah $34.52, including the discount and tax.
Solve for a.
2(a + 10) + 6 = 50
a= 12
A card is drawn from the set of 52 cards. Find the probability of getting a queen card.
1/13
A right-angle triangle has a side of 6cm and 5cm. Find the hypotenuse of the triangle. (Round to two decimal places)
The hypotenuse of the triangle is 7.81cm.
The diameter of a cylinder is 5cm, and the height is 11cm. What is the volume of the cylinder? Round your answer to two decimal places.
215.88cm3
If you borrow $421 for nine years at an interest rate of 4%, how much simple interest will you pay?
You will pay $151.56 of simple interest.
Solve for y
3x + 2y = 19 middle
x = 5
y=2
What is the probability that a number selected from the numbers (1, 2, 3,..........,15) is a multiple of 4?
⅕
A ladder is 5m long. The base of the ladder is 3m away from the base of a vertical wall. How far up the wall does the ladder reach?
The latter reaches 4m up the wall.
What's the formula to find the volume of a sphere?
(4/3)π3
Your final balance on an investment of $350 at the rate of 8% was $650. For how many years did you invest?
You invested for 10.71 years or 10 years and 8.5 months.
Solve for x and y.
4x + 6y = 16
x + 2y = 5
x=1, y=2
A die is rolled twice and a coin is tossed twice. What is the probability that the die will roll a 6 each time and the coin will land on a tail every time?
1/144
Alex and Sam start from the same point. Alex walks 400 meters west. Sam walks x meters south, until they are 600m apart from each other. How far does Sam walk? (Round to the nearest full number)
Sam walks 447m south.
A solid cylinder with a height of 20 cm and a 10cm diameter is used to cut out a right triangular prism with a base and height of 5cm of the triangle. What is the volume and surface area of the right triangular prism? Is it possible to cut out three more of the same size right triangular prisms? If so, how much of the cylinder is left over?
The volume of the triangular prism is 250cm3 and the surface area is 367cm2. Yes, it’s possible to cut out three more of the same size right triangular prisms, and there would be 570cm3 of the cylinder leftover.
If you deposit $1300 for 5 years at an interest rate of 3% compounded annually, how much money will you have at the end of the 5 years?
At the end of the 5 years, you will have $1507.06.
Solve for x and y using the following equations
y= 3/5x-5
y=-1/3x+7
x= 90/7, y=19/7
A number is chosen at random from 1 to 50. Find the probability that the number chosen is divisible by 2 and 5.
1/10
The pole of a sailing boat is supported by a rope from the top of the pole to an anchor point on the deck. The pole is 4m long and the rope is 4.5m long. Calculate the distance from the base of the pole to the anchor point of the rope on the deck. (Round to two decimal places)
The distance from the base of the pole to the anchor point of the rope on the deck is 2.06m.
In a diagram, rectangle ABCD has an area of 40 units squared. Point M is on line AB so that line AM = line BM = 4, and point N is on CD so that CN = 2. What is the area of quadrilateral MBCN?
15 units2
If you deposit $4500 at 5% annual interest compounded quarterly, how much money will be in the account after 10 years?
After 10 years, there will be $7396.29 in the account.