Correct answer: 21
-7(-3) = 21
Correct answer: students in the cafeteria
Students in the cafeteria would be the best group to survey to obtain valid data.
Correct answer: 3/2
3/2 is the constant of proportionality when y = 4 and x = 6. To find the constant of proportionality, apply the concept of unit rate. Since y is proportional to x, that means for every 6 of x, there is 4 of y. Simplifying the ratio 6/4 = 3/2.
Correct answer: 9
Write the numbers in order:
4,5,8,9,13,15,18
Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.
Correct answer: 7/4
The ratio of total clothing to pants is 7/4.
Correct answer: 7.4 meters per second
400 ÷ 54 = 7.4
Correct answer: 5t + 15 ≤ 140
The 3rd choice can be used to find t.
Correct answer: One-twelfth of a gallon of milk
First, find out how much cereal Keith eats in 8 days:
(1) 3 bowls per day x 8 days = 24 bowls
Since it takes 2 gallons of milk to eat 24 bowls of cereal, set up the ratio and simplify:
(2) 2/24 (GCF is 2, so divide numerator and denominator to find simplest form)
(3) 1/12
Therefore, Keith uses 1/12 of a gallon of milk in each bowl of cereal.
Correct answer: 600 ml
4% of the volume of the solution is alcohol. Let 𝑥 be the volume of the solution.
Then: 4% 𝑜𝑓 𝑥=24 𝑚𝑙⇒0.04𝑥=24⇒𝑥=24÷0.04=600
Correct answer: 23.5
2nd choice is the correct answer.
Correct answer: 224
42 is what percent of 60 = 70%
320 x 70% = 224
Correct answer: 47
|40| + |-7| = 47
Correct answer: b = 3a
In each case, if we multiply a by 3, we get b.
b = 3a is the correct answer.
Correct answer: 400
Let 𝑥 be the original price.
If the price of a television is decreased by 10% to $360, then:
90%𝑜𝑓𝑥=360⇒0.90𝑥=360⇒𝑥=360÷0.90=400
Correct answer: 47.9
2nd choice is the correct answer.
Correct answer: 180
225 - 20% = 180
Correct answer: $48
1 hour = 60 minutes
60 ÷ 15 = 4
4 x 12 = 48
Correct answer: 1/2
In order to find the constant of proportionality, choose points along the line and then find the relationship between the x-coordinate and y-coordinate.
Two points are (2, 1) and (4, 2). This shows that the value of the y-coordinate is half of the value of the x-coordinate.
Therefore, the constant of proportionality is 1/2.
Correct answer: 300
Let 𝐿 be the price of phone and 𝐶 be the price of tablet.
3(𝐿)=5(𝐶) 𝑎𝑛𝑑 𝐿=$200+𝐶
Therefore, 3($200+𝐶)=5𝐶⇒$600+3𝐶=5𝐶⇒𝐶=$300
Correct answer: 5/12
5/6 x 1/2 = 5/12
Correct answer: 20
60 ÷ 24 = 2.5
2.5 x 8 = 20
Correct answer: 2 teaspoons
3rd choice is the correct answer.
Correct answer: 6 in.
We know that, length/width = 3/2
The width is given as 4 inches,
Hence, we get, 3/2 = x/4 where x is the length.
Cross multiplying we get, x = 3x4/2
x = 12/2 = 6 in Hence, fourth option is the correct answer choice.
Correct answer: 6 hours
The distance between Bong and Jayr is 9 miles. Bong running at 5.5 miles per hour and Jayr is running at the speed of 7 miles per hour. Therefore, every hour the distance is 1.5 miles less.
9÷1.5=6
Correct answer: 7⅙
13 - 5⅚ = 7⅙
Correct answer: -5
4(-5 + 1) = -16
Correct answer: 27
|12| + |-15| = 27
Correct answer: 3/5
The line passes through the origin, so it is a proportional relationship. The second point gives the constant of proportionality, which is the y value divided by the x value: 3/5
Correct answer: 80%
The failing rate is 11 out of 55=1155.
Change the fraction to percent:
1155×100%=20%
20 percent of students failed. Therefore, 80 percent of students passed the exam.
Correct answer: $1.75
For any of the pairs of data, divide the total cost by the number of pounds of seed to find how much one pound costs. For example, $17.50/10 = $1.75 per pound.
