The scale on a hiking map is 2 inches equals 54 yards. The distance on the map between Bluebird Waterfalls and Pine Peak is 9 inches.
What is the actual distance between Bluebird Waterfalls and Pine Peak?
To find the actual distance between Bluebird Waterfalls and Pine Peak, we need to convert the distance on the map to the actual distance using the scale.
According to the scale, 2 inches on the map represents 54 yards in actual distance.
The distance on the map between Bluebird Waterfalls and Pine Peak is 9 inches.
To find the actual distance, we can set up a proportion:
2 inches = 54 yards
9 inches = x yards
Cross-multiplying, we get:
2 * x = 9 * 54
2x = 486
x = 486 / 2
x = 243
Therefore, the actual distance between Bluebird Waterfalls and Pine Peak is 243 yards. Answer: \boxed{243}.
Henry bought books during the summer. She bought 5 books for $12.00, 6 books for $10.00, and 4 books for $8.00.
What is the average (mean) amount she spent for each book?
To find the average amount spent for each book, we need to calculate the total amount spent and divide it by the total number of books purchased.
The cost of buying 5 books for $12.00 is $12.00 / 5 = $2.40 per book.
The cost of buying 6 books for $10.00 is $10.00 / 6 ≈ $1.67 per book.
The cost of buying 4 books for $8.00 is $8.00 / 4 = $2.00 per book.
So, the total amount spent is $2.40 + $1.67 + $2.00 = $6.07.
The total number of books purchased is 5 + 6 + 4 = 15.
Thus, the average amount spent for each book is $6.07 / 15 ≈ $0.40.
Therefore, Henry spent an average of $0.40 for each book. Answer: \boxed{0.40}.
2 1/2 - 1 1/4
To subtract mixed fractions, you need to first convert them into improper fractions.
2 1/2 = (2 * 2 + 1)/2 = 5/2
1 1/4 = (1 * 4 + 1)/4 = 5/4
Now, we can subtract the fractions:
5/2 - 5/4 = (5 * 4 - 2 * 5)/8 = (20 - 10)/8 = 10/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
10/8 = (10/2)/(8/2) = 5/4
Therefore, 2 1/2 - 1 1/4 = 5/4. Answer: \boxed{5/4}.
Two cities are 8.5 centimeters apart on a map. The map uses a scale factor of 1 centimeter colon 65 kilometers.
Question
How many kilometers apart are the two cities?
To find the distance between the two cities in kilometers, we need to use the scale factor provided on the map.
The scale factor is 1 centimeter : 65 kilometers.
The distance between the two cities on the map is 8.5 centimeters.
To find the actual distance between the cities in kilometers, we can set up a proportion:
1 centimeter = 65 kilometers
8.5 centimeters = x kilometers
Cross-multiplying, we get:
1 * x = 8.5 * 65
x = 552.5
Therefore, the two cities are 552.5 kilometers apart. Answer: \boxed{552.5}.
Darcy went shopping. She got 4 new shirts, 3 pairs of pants and 2 pairs of shoes.
How many different outfits can Darcy put together with her new shirts, pants and shoes?
To find the number of different outfits Darcy can put together, we need to multiply the number of choices she has for each item of clothing.
Darcy has 4 new shirts, 3 pairs of pants, and 2 pairs of shoes.
For each shirt, she has 3 choices for pants (since she has 3 pairs of pants) and 2 choices for shoes (since she has 2 pairs of shoes).
Therefore, the total number of different outfits Darcy can put together is 4 (shirts) * 3 (pants) * 2 (shoes) = 24.
So, Darcy can put together 24 different outfits. Answer: \boxed{24}.