Which ratio is equivalent to 9/78 ?(1 point) Responses 13 Start Fraction 1 over 3 End Fraction 3/26 Start Fraction 3 over 26 End Fraction 18 Start Fraction 1 over 8 End Fraction 3/18
The ratio that is equivalent to 9/78 is 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
The unit rate of miles per gallon Lars gets can be found by dividing the total miles driven by the total gallons of gas used.
330 miles / 15 gallons = 22 miles per gallon
Therefore, the unit rate of miles per gallon he gets is 22.
What is 7/8 ÷ 3/4 ?(1 point) Responses 7/6 Start Fraction 7 over 6 End Fraction 67 Start Fraction 6 over 7 End Fraction 21/32 Start Fraction 21 over 32 End Fraction 32/21
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
7/8 ÷ 3/4 = 7/8 * 4/3
Now, we can simplify:
(7 * 4) / (8 * 3) = 28/24
We can further simplify by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(28 ÷ 4) / (24 ÷ 4) = 7/6
Therefore, 7/8 ÷ 3/4 is equivalent to 7/6.
Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 23 of the area in 12 hour, how long will it take her to complete the entire picture
To find out how long it will take Charla to complete the entire picture, we need to determine the ratio of the area completed to the time taken.
Let's say the area she wants to cover is 100 units (for example, square feet).
If she completes 23% of the area in 12 hours, that means she covers 23 units in 12 hours.
To find the time it will take to complete the entire picture, we can set up the following proportion:
23 units / 12 hours = 100 units / x hours
Cross-multiplying, we get:
23x = 100 * 12
23x = 1200
Dividing both sides by 23, we find:
x = 1200 / 23
Rounded to two decimal places, x is approximately:
x ≈ 52.17
Therefore, it will take Charla approximately 52.17 hours to complete the entire picture.
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
To identify the ratio at which the constant of proportionality appears, we need to compare the number of scoops of raspberry to the number of cups of lemonade.
According to the information given, we have:
2 scoops of raspberry to 5 cups of lemonade
To express this ratio, we can simplify it by dividing both numbers by their greatest common divisor, which is 1:
2 scoops of raspberry to 5 cups of lemonade
Thus, the constant of proportionality appears at a ratio of 2:5.