what ratio is equivalent to 9/78

Question

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?

What is 78÷34 ?

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?

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?

GPT 3.5 · Answer

To find the ratio equivalent to 9/78, you can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 9 and 78 is 3. Dividing both numbers by 3, you get 9/3 and 78/3. This simplifies to 3/26. Therefore, the ratio equivalent to 9/78 is 3/26.

To find the unit rate of miles per gallon Lars gets with his SUV, you can divide the total number of miles driven (330 miles) by the number of gallons used (15 gallons). The unit rate is given by 330 miles / 15 gallons, which simplifies to 22 miles per gallon.

To divide 78 by 34, you can directly perform the division operation. 78 ÷ 34 is equal to 2.29 (rounded to two decimal places).

To find out how long it will take Charla to complete the entire picture, you need to determine the time it takes for her to complete one unit of the area. Divide the total time taken (12 hours) by the completed portion of the area (23), which gives 12 hours / 23 = 0.52 hours (rounded to two decimal places). Therefore, it will take Charla approximately 0.52 hours to complete the entire picture.

The constant of proportionality appears when the ratio between the number of scoops of raspberry and the number of cups of lemonade remains consistent. Looking at the data table, you can see that when the number of scoops doubles, the number of cups of lemonade also doubles. Therefore, the ratio where the constant of proportionality appears is 2:5.