can anyone answer these 3 answers showing how your work.thanks
Mrs. Walters drove 160 miles on 5 gallons of gas. How many gallons of gas will she need to travel 256 miles?
Stephen read 90 pages in 6 days. If he continues reading at that rate, how long will it take him to read 300 pages?
The distance between Milltown and Summerville is 3 inches on a map. If the map scale is 1 inch = 20 miles, what is the actual distance between the towns?
256/160=V/5 or
v= 5*256/160
number 2 is 20 days
Sure! I'd be happy to help you with these questions and show you how I arrived at the answers.
Question 1: Mrs. Walters drove 160 miles on 5 gallons of gas. How many gallons of gas will she need to travel 256 miles?
To find the answer, we can set up a proportion based on the given information. We know that Mrs. Walters traveled 160 miles on 5 gallons of gas, so the ratio of distance to volume is 160 miles / 5 gallons.
We can use this ratio to find the answer. Since we need to know the number of gallons for 256 miles, we set up the proportion:
160 miles / 5 gallons = 256 miles / x gallons.
To find the value of x (the unknown number of gallons), we cross multiply:
160 miles * x gallons = 5 gallons * 256 miles.
Divide both sides of the equation by 160 miles to isolate x:
x gallons = (5 gallons * 256 miles) / 160 miles.
Now, we can simplify the equation:
x gallons = 1280 gallons / 160 miles.
Divide 1280 gallons by 160 miles:
x gallons = 8 gallons.
Therefore, Mrs. Walters will need 8 gallons of gas to travel 256 miles.
Question 2: Stephen read 90 pages in 6 days. If he continues reading at that rate, how long will it take him to read 300 pages?
To find the answer, we need to determine the rate at which Stephen reads. We know that he read 90 pages in 6 days, so we can set up a ratio of pages to days: 90 pages / 6 days.
To find out how long it will take him to read 300 pages, we set up the proportion:
90 pages / 6 days = 300 pages / x days.
Cross multiply to solve for x:
90 pages * x days = 6 days * 300 pages.
Divide both sides of the equation by 90 pages to isolate x:
x days = (6 days * 300 pages) / 90 pages.
Now, we can simplify the equation:
x days = 1800 days / 90 pages.
Divide 1800 days by 90 pages:
x days = 20 days.
Therefore, it will take Stephen 20 days to read 300 pages at his current rate.
Question 3: The distance between Milltown and Summerville is 3 inches on a map. If the map scale is 1 inch = 20 miles, what is the actual distance between the towns?
To find the answer, we need to use the map scale to convert the distance on the map to the actual distance between the towns.
According to the map scale, 1 inch represents 20 miles. Since the distance between Milltown and Summerville is 3 inches on the map, we can set up a proportion:
1 inch / 20 miles = 3 inches / x miles.
Cross multiply to solve for x:
1 inch * x miles = 20 miles * 3 inches.
Divide both sides of the equation by 1 inch to isolate x:
x miles = (20 miles * 3 inches) / 1 inch.
Now, we can simplify the equation:
x miles = 60 miles * 1 inch.
Since 1 inch is equal to 60 miles, the actual distance between the towns is 60 miles.
Therefore, the actual distance between Milltown and Summerville is 60 miles.