Two quarts of ice cream cost $5.48. How much does 1 pint cost? (Remember to convert : 2 pints=1 quart)
Since 2 pints equal 1 quart, we know that 1 quart of ice cream costs $5.48/2 = $<<5.48/2=2.74>>2.74.
Therefore, 1 pint of ice cream costs $2.74. Answer: \boxed{2.74}.
John earns $500 in a work week. A regular work week for John consists of 5 work days with 8 hours a day. How much does John earn each hour?
To find out how much John earns per hour, we first need to determine the total number of hours he works in a week.
There are 5 work days in a week, and each day consists of 8 hours. So, John works a total of 5 days * 8 hours = 40 hours in a week.
Next, we divide the total earnings for the week, which is $500, by the number of hours worked, which is 40 hours.
Thus, John earns $500/40 hours = $<<500/40=12.50>>12.50 per hour. Answer: \boxed{12.50}.
A proportional relationship has a unit rate of 4 to 1. Which situation below represents this relationship?
In a proportional relationship, the ratio between two quantities remains constant. A unit rate of 4 to 1 means that for every 4 units of the first quantity, there is 1 unit of the second quantity.
Therefore, the situation below represents this relationship:
- For every 4 gallons of gas, a car can travel 1 mile.
A proportional relationship has a unit rate of 4 to 1. Which situation below represents this relationship?
A) A tire warehouse has exactly 12,800 automobile tires for 3,200 automobiles
B) Hikers travel 48 miles in 6 hours
C) A DJ is required to play 60 songs over a 4-hour shift
D) A cookie recipe uses 1 3/4 cups of brown sugar for 2 batches
The situation that represents a proportional relationship with a unit rate of 4 to 1 is:
D) A cookie recipe uses 1 3/4 cups of brown sugar for 2 batches.
In this situation, the ratio of brown sugar to batches is 1 3/4 cups of brown sugar to 2 batches, which simplifies to a ratio of 7/4 cups of brown sugar to 2 batches. This ratio is equivalent to 4/1, representing a proportional relationship with a unit rate of 4 to 1.
An Alien is 5 feet tall. His shadow is 8 feet long. At the same time of the day, a tree's shadow is 32 feet long. What is the height of the tree?
To solve this problem, we can set up a proportion using the heights and shadows.
Let's say "h" represents the height of the tree. The ratio of the Alien's height to its shadow is 5 feet to 8 feet. The ratio of the tree's height to its shadow is "h" feet to 32 feet.
Using these ratios, we can set up the proportion:
(5 feet) / (8 feet) = h feet / (32 feet)
To solve for "h", we can cross-multiply:
8 feet * h feet = 5 feet * 32 feet
8h = 160
Finally, divide both sides by 8 to find the height of the tree:
h = 20
Therefore, the height of the tree is 20 feet. Answer: \boxed{20}.