Two quarts of ice cream cost $5.48. How much does 1 pint cost? (Remember to convert : 2 pints=1 quart)

Question

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1 point
$0.69 per pint
$2.74 per pint
$1.37 per pint
$4.11 per pint
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?
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1 point
$10.50 an hour
$11.00 an hour
$12.50 an hour
$13.00 an hour
A proportional relationship has a unit rate of 4 to 1. Which situation below represents this relationship?
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1 point
A tire warehouse has exactly 12,800 automobile tires for 3,200 automobiles
Hikers travel 48 miles in 6 hours
A DJ is required to play 60 songs over a 4-hour shift
A cookie recipe uses 1 3/4 cups of brown sugar for 2 batches
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?
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1 point
20 feet
24 feet
29 feet
51 feet
Polygon KLMN is similar to polygon PQRS. What is the length of QR?
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1 point
Captionless Image
16m
9m
8m
6m
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Answer 1

1. Cost of 1 pint of ice cream:

   • 2 quarts of ice cream cost $5.48.
   • Since 1 quart is equal to 2 pints, 2 quarts equal 4 pints.
   • Therefore, $5.48 for 4 pints means each pint costs: \[ \text{Cost per pint} = \frac{5.48}{4} = 1.37 \]
   • Answer: $1.37 per pint

2. John's hourly wage:

   • John earns $500 in a work week consisting of 5 days, with 8 hours each day.
   • Total hours worked in a week = 5 days × 8 hours/day = 40 hours.
   • His hourly wage is: \[ \text{Hourly wage} = \frac{500}{40} = 12.50 \]
   • Answer: $12.50 an hour

3. Proportional relationship with a unit rate of 4 to 1:

   • We look for a scenario that shows a constant ratio of 4:1.
   • A tire warehouse has exactly 12,800 automobile tires for 3,200 automobiles: The ratio is 12800/3200 = 4, which matches the unit rate of 4:1.
   • Other options do not maintain a consistent ratio of 4:1.
   • Answer: A tire warehouse has exactly 12,800 automobile tires for 3,200 automobiles

4. Height of the tree based on shadow:

   • The shadow ratio between the Alien and the tree is maintained. The Alien's height to shadow ratio is:
     • Height = 5 feet, Shadow = 8 feet.
   • The tree's shadow is 32 feet. If we set up a proportion: \[ \frac{\text{height of tree}}{32} = \frac{5}{8} \] Solving for the height of the tree: \[ \text{height of tree} = \frac{5}{8} \times 32 = 20 \text{ feet} \]
   • Answer: 20 feet

5. Length of QR based on similar polygons:

   • The exact context or measurements are not provided within the question as there is no visual, but generally, for similar polygons, corresponding sides are proportional.
   • If QR corresponds to a side in polygon KLMN and we know the ratio or side lengths, we could calculate it, but without any numbers, the answer cannot be determined from the given data.
   • Please provide additional information or dimensions for a more accurate response.

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