Which ratio is equivalent to 9/78 ?(1 point)
Responses
3/26
Start Fraction 3 over 26 End Fraction
1/8
Start Fraction 1 over 8 End Fraction
1/3
Start Fraction 1 over 3 End Fraction
3/18
The ratio 9/78 is equivalent to the ratio 3/26.
Lars purchases a new SUV. The car has a 15-gallon gas tank. If he can drive 330 miles on a full tank of gas, what is the unit rate of miles per gallon he gets?(1 point)
To find the unit rate of miles per gallon Lars gets, we divide the total number of miles (330) by the number of gallons (15):
330 miles / 15 gallons = 22 miles per gallon
So, Lars gets a unit rate of 22 miles per gallon.
What is 7/8÷3/4 ?(1 point)
Responses
7/6
Start Fraction 7 over 6 End Fraction
32/21
Start Fraction 32 over 21 End Fraction
6/7
Start Fraction 6 over 7 End Fraction
21/32
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, 7/8 ÷ 3/4 can be rewritten as 7/8 * 4/3:
7/8 * 4/3 = (7 * 4) / (8 * 3) = 28/24
Simplifying this fraction, we find that 28/24 is equivalent to 7/6.
Therefore, the answer is 7/6.
Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 2/3 of the area in 1/2 hour, how long will it take her to complete the entire picture?(1 point)
To find out how long it will take Charla to complete the entire picture, we can calculate the ratio of time to the ratio of the area completed.
The ratio of time is 1/2 hour, and the ratio of the area completed is 2/3.
Let's represent the unknown time as x.
The ratio of time to complete the entire picture can be expressed as:
x / 1 = 1/2 / 2/3
To divide by a fraction, we multiply with the reciprocal:
x = 1/2 * 3/2 = 3/4
Thus, it will take Charla 3/4 hour to complete the entire picture.
Use the table to answer the question.
Raspberry Lemonade
1 2.5
2 5
4 10
6 15
Rosie is planning to make raspberry lemonade for a party. She needs to add 2 scoops of raspberry to every 5 cups of lemonade. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?
(1 point)
Responses
(2, 5)
left parenthesis 2 comma 5 right parenthesis
(1, 2.5)
left parenthesis 1 comma 2.5 right parenthesis
(2.5, 1)
left parenthesis 2.5 comma 1 right parenthesis
(5, 2)
To determine the ratio where the constant of proportionality appears, we need to find a consistent ratio between the number of scoops of raspberry and the number of cups of lemonade.
Looking at the given table, we can see that for every 2 scoops of raspberry, there are 5 cups of lemonade. This ratio is consistent throughout the table.
Therefore, the constant of proportionality appears at the ratio (2, 5).
Use the table to answer the question.
# of Trees # of Apples
2 26
3 39
6 78
10 130
12 156
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.
(1 point)
Responses
Yes, the data table has a proportional relationship.
Yes, the data table has a proportional relationship.
No, the ratio 6:78 is not proportional to the other ratios.
No, the ratio ratio of 6 to 78 is not proportional to the other ratios.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
No, the table does not count consecutively.