Mid Point or Distance
Find the midpoint of the line segment with the given endpoints.
[(-4, -8)], [(7, -8)]
[(3 / 2, -8)]
[-7x + 2y = 5]
[-14x + 6y = -6]
[(-3, -8)]
Find the value of two numbers if their sum is 13 and their difference is 1.
6 and 7
What percent of 144 is 138.5?
96.2%
Find the midpoint of the line segment with the given endpoints.
[(7, -9)], [(-3, -4)]
[(2, -13 / 2)]
[10x - 10y = 30]
[3x - 20y = -25]
[(5, 2)]
Going down the river a boat went 15 km/h. Going up the river it only went 1 km/h. Find the
current and the speed of the boat if there were no current.
Boat: 8 km/h, Current: 7 km/h
17% of what is 28?
164.7
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
[(-0.1, -3)], [(4, -4.7)]
[ 4.4 ]
[-5x + 4y = 10]
[7x - 7y = -7]
[(-6, -5)]
Kali and Jasmine each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Kali spent $94 on 12 ft² of grass sod and 10 geraniums.
Jasmine spent $95 on 2 ft² of grass sod and 13 geraniums. Find the cost of one ft² of grass sod and the cost of one geranium.
ft² of grass sod: $2, geranium: $7
The price of a bicycle after a 25% discount is $679.99. What was the original price?
$906.65
Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: [(5 / 3, 3 / 2)], midpoint: [(1 / 4, 13 / 6)]
[(-7 / 6, 17 / 6)]
[-3x - y = 21]
[x + 6y = -24]
[(-6, -3)]
Jimmy's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 12 adult tickets and 12 child tickets for a total of $144. The school took in $90 on the second day by selling 9 adult tickets and 3 child tickets. What is the price each of one adult ticket and one child ticket?
adult ticket: $9, child ticket: $3
Before leaving, Mike had filled up his cars tank to the maximum capacity of 80L. If at the end of a drive mike has 63L left, what percent of the gas did Mike use?
21.25%
Find the distance between each pair of points.
[(6 * root(2, 3), -2 * root(2, 7))], [(-6 * root(2, 3), root(2, 7))]
[ 3 * root(2, 55) ]
[y = x - 12]
[y = -4x + 13]
[(5, -7)]
A factory uses two types of machines to produce goods. Machine A consumes water at a rate of 3 gallons per hour, and Machine B consumes water at 5 gallons per hour. If both machines run for a total of 100 hours combined and consume 400 gallons of water in total, how many gallons did each machine use?
A = 150 gallons
B = 250 gallons
After a 7% raise in weekly salary, Matt is now making $1450 per week. What was Matt’s weekly salary before the raise?
$1355.14