Can you help me with a few math questions please?

1)You are running in a race. It takes you 25 minutes to go 2.7 miles.

a.If you continue at this same rate, how long will it take you to go 6 miles?

b.What is your rate in miles per hour?

2)If the scale factor of a map is 1/8” is 12 miles. How far apart are two towns if they are 3 inches apart on the map?

3)12 is 36% of what number?

4)A sweater that originally costs $15 is on sale for $12. What is the percent decrease in the price?

1a.

25/2.7 = x/6
Cross multiply and solve for x.

1b.
25/2.7 = 60/x

2. Use a proportion to find the answer.

3.
0.36x = 12

4.
100(3/15) = _______%

what is the unit rate for 2 miles in 12 minutes then how long would it take her to run 5 miles at the same rate?

Of course! I'll be happy to help you with your math questions. Let's start with each question one by one.

1) You are running in a race. It takes you 25 minutes to go 2.7 miles.

a) To find out how long it will take you to go 6 miles at the same rate, we can set up a proportion. Since the distance and time are directly proportional, we can write the following equation:

2.7 miles / 25 minutes = 6 miles / x minutes

To solve for x (the time it will take you to go 6 miles), we can cross-multiply and solve for x:

2.7x = 25 * 6
2.7x = 150
x = 150 / 2.7
x ≈ 55.56 minutes

Therefore, it would take you approximately 55.56 minutes to go 6 miles.

b) To calculate your rate in miles per hour, we need to convert the time from minutes to hours. Since there are 60 minutes in an hour, we can divide the time (25 minutes) by 60 to get the equivalent in hours:

25 minutes / 60 = 0.4167 hours

Now, we can calculate the rate in miles per hour by dividing the distance (2.7 miles) by the time in hours:

2.7 miles / 0.4167 hours ≈ 6.48 miles per hour

Therefore, your rate in miles per hour is approximately 6.48 mph.

2) If the scale factor of a map is 1/8" is 12 miles, we need to find out how far apart two towns are if they are 3 inches apart on the map.

To solve this, we can set up a proportion:

1/8 inch / 12 miles = 3 inches / x miles

To find x (the actual distance between the two towns), we need to cross-multiply and solve for x:

1/8 * x = 3 * 12
x/8 = 36
x = 36 * 8
x = 288 miles

Therefore, the two towns are 288 miles apart.

3) 12 is 36% of what number?

To find out the number, we can set up an equation:

36% (or 0.36) * x = 12

To solve for x (the unknown number), we can divide both sides of the equation by 0.36:

x = 12 / 0.36
x ≈ 33.33

Therefore, 12 is approximately 36% of 33.33.

4) A sweater that originally costs $15 is on sale for $12. What is the percent decrease in the price?

To calculate the percent decrease, we need to find the difference between the original price and the sale price, and then express it as a percentage of the original price.

The difference is $15 - $12 = $3.
The percent decrease can be calculated as (difference / original price) * 100:

(3 / 15) * 100 = 20%

Therefore, the percent decrease in the price is 20%.