what ratio is equivalent to 9/78
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?
To find the ratio equivalent to 9/78, you can simplify the fraction by finding the greatest common divisor (GCD) of 9 and 78, which is 3. Divide both the numerator and denominator of the fraction by 3 to get the simplified form: 9/78 = 3/26.
To determine the unit rate of miles per gallon Lars gets from his SUV, divide the total distance he can drive (330 miles) by the capacity of the gas tank (15 gallons). The unit rate is obtained by dividing 330 by 15, which gives you a value of 22 miles per gallon.
To find the result of 78 ÷ 34, perform the division operation. Divide 78 by 34, which equals approximately 2.2941176470588235.
To calculate the time it will take Charla to complete the entire picture, you need to find the time taken to complete 1% of the area. Divide the total time (12 hours) by the area completed (23%) to get the time taken per percentage. Then, multiply this value by 100 to find the time taken to complete the entire picture.
The constant of proportionality in Rosie's ratio can be determined by finding the ratio that remains the same throughout. In this case, the constant ratio is 2 scoops of raspberry to 5 cups of lemonade.
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.
To find the ratio equivalent to 9/78, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. In this case, the GCD of 9 and 78 is 3.
Now divide both the numerator (9) and denominator (78) by the GCD (3):
9 ÷ 3 = 3
78 ÷ 3 = 26
So, the given ratio 9/78 is equivalent to the simplified ratio 3/26.
To calculate the unit rate of miles per gallon Lars gets with his SUV, divide the total number of miles driven (330) by the size of the gas tank (15 gallons):
330 ÷ 15 = 22
Therefore, the unit rate of miles per gallon Lars gets with his SUV is 22 miles per gallon.
To find the result of the division 78 ÷ 34, divide 78 by 34:
78 ÷ 34 ≈ 2.294
The result of 78 ÷ 34 is approximately 2.294.
To determine how long it will take Charla to complete the entire picture, you need to set up a proportion using the given information. Since Charla completes 23 of the area in 12 hours, you can set up the proportion as:
23 / 12 = 1 / x
Cross-multiply to solve for x:
23x = 12
x = 12 / 23
Therefore, it will take Charla approximately 0.522 hours (or approximately 31.3 minutes) to complete the entire picture.
To identify at what ratio the constant of proportionality appears in Rosie's raspberry lemonade recipe, you can observe the given data table. The ratio 2 scoops of raspberry to 5 cups of lemonade is consistent across different quantities. This means that the constant of proportionality appears at a ratio of 2/5.