Correct answer: 24 cm
Use Pythagorean theorem to find the hypotenuse of the triangle.
𝑎2+𝑏2=𝑐2→62+82=𝑐2→36+64=𝑐2→100=𝑐2→𝑐=10
The perimeter of the triangle is: 6+8+10=24
Correct answer: 62.5¢/watermelon
Set up the proportion of 2/125 = 1/x
Dividing both numerator and denominator by 2, we get 1/62.5 = 1/x. Therefore x = 62.5
1 watermelon equals 62.5¢
Correct answer: 3:8
The ratio of blue balls to red balls is 3:8.
Correct answer: 24x + 44
4(6x + 11) is equivalent to 24x + 44
Correct answer: 15
403 ÷ 15 = 26 remainder of 13
Correct answer: 11
First, we need to find the GCF (Greatest Common Factor) of 143 and 55.
143=11×13
55=5×11→ GFC=11
Therefore, we need 11 boxes.
Correct answer: 2 for 25¢
1/5 = a unit price of $0.20 per piece
0.85/4 = a unit price of $0.2125 per piece
0.25/2 = a unit price of $0.125 per piece. This is the best price per unit.
1.10/6 = a unit price of $0.183 per piece.
Correct answer: Dave is driving 30 miles per 1 hour.
The 4th choice describes the unit rate.
Correct answer: x = 2
2(2) + 5 = 9
Correct answer: (5 + 2)h + 1
7h + 1 is equivalent to (5 + 2)h + 1
Correct answer: 7
2205÷315=2205/315=441/63=147/21=7
Correct answer: 74¢ per bracelet
Divide 2.22/3 = $0.74
Correct answer: 7/10
4/5 ÷ 8/7 = 7/10
Correct answer: -12
-12 represents the temperature of Kansas City.
Correct answer: 1 : 2
1 : 2 is the ratio of meals served to portions of fruits served
Correct answer: 𝑥=90
112=22+𝑥
Subtract 22 from both sides of the equation. Then:
𝑥=112−22=90
Correct answer: 23,000 mm
1 meter/1000 millimeters = 23 meters/x millimeters
1/1000 = 23/x
x = 23,000 mm
Correct answer: x = 5
5 + 9 = 14
Correct answer: 6
1608 ÷ 268 = 6
Correct answer: For every 3 red trash cans in the park, there are 4 blue trash cans.
3 : 4 ratio of red trash cans to blue trash cans means every 3 red trash cans in the park, there are 4 blue trash cans.
Correct answer: 265.8 km
Distance that truck B travels =1.2× distance that truck A travels
=1.2×221.5=265.8 km
Correct answer: 3 teaspoons
A tablespoon is equal to three teaspoons.
Correct answer: 32 miles per gallon
Find the unit rate for one gallon of gas.
128/4 = x/1
128*1=4*x
128 = 4x
Divide both sides by 4
x = 32 miles per gallon
Correct answer: 248
The area of cardboard required for Kevin's box is 248.
Correct answer: 180 centimeters
1 meter = 100 cm
1.8 x 100 = 180
Correct answer: 81 cm²
The perimeter of the trapezoid is 38.
Therefore, the missing side (height) is =38–8–10–11=9
Area of the trapezoid: 𝐴=12ℎ(𝑏1+𝑏2)=121(9)(8+10)=81
Correct answer: 8 pt.
1 gallon = 4 quarts
4 quarts = 8 pints
Correct answer: 2315.6
2312.2 + 3.4 = 2315.6
Correct answer: 125
(5)³ = 125
Correct answer: $0.50
Find the unit rate for one milk pouch.
$6.00/12 = x/1
6*1=12*x
6 = 12x
Divide both sides by 12
x = $0.50 per pouch
