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

Question

*
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?
*
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?
*
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?
*
1 point
20 feet
24 feet
29 feet
51 feet
Polygon KLMN is similar to polygon PQRS. What is the length of QR?
*
1 point
Captionless Image
16m
9m
8m
6m
Never submit passwords through Google Forms.
This form was created inside of Alabama Connections Academy. Report Abuse

Answer 1

Let's solve each question step by step:

1. Cost of 1 pint of ice cream:

   • 2 quarts of ice cream cost $5.48.
   • Since 1 quart = 2 pints, then 2 quarts = 4 pints.
   • Therefore, the cost per pint = Total cost / Number of pints = $5.48 / 4 = $1.37.
   • Answer: $1.37 per pint.

2. John's hourly earnings:

   • John earns $500 in a work week.
   • He works 5 days a week, 8 hours a day, so total hours = 5 days * 8 hours/day = 40 hours.
   • Therefore, his hourly wage = Total earnings / Total hours = $500 / 40 = $12.50.
   • Answer: $12.50 an hour.

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

   • A relationship with a unit rate of 4 to 1 means for every 4 units of one quantity, there is 1 unit of another.
   • We can check each option:
     • 12,800 tires for 3,200 automobiles: \( 12,800 \div 3,200 = 4 \). (This is correct.)
     • 48 miles in 6 hours: \( 48 \div 6 = 8 \). (Not correct.)
     • 60 songs in 4 hours: \( 60 \div 4 = 15 \). (Not correct.)
     • 1 3/4 cups for 2 batches: Cannot simplify to 4 to 1.
   • Answer: A tire warehouse has exactly 12,800 automobile tires for 3,200 automobiles.

4. Height of the tree using shadows:

   • The Alien's height to shadow ratio is 5 feet to 8 feet.
   • The tree’s shadow is 32 feet. We can set up a proportion: \[ \frac{\text{Alien's height}}{\text{Alien's shadow}} = \frac{\text{Tree's height}}{\text{Tree's shadow}} \] \[ \frac{5}{8} = \frac{h}{32} \]
   • Cross-multiply: \( 5 \times 32 = 8 \times h \) → \( 160 = 8h \) → \( h = 20 \).
   • Answer: 20 feet.

5. Length of QR:

   • Unfortunately, I can't see the image, so I can't calculate the length of QR based on the image provided. But typically, if polygons KLMN and PQRS are similar, the ratio of corresponding sides should be equal. If you have ratios or side lengths, please provide them.

So, the answers based on the calculations above are:

1. $1.37 per pint
2. $12.50 an hour
3. A tire warehouse has exactly 12,800 automobile tires for 3,200 automobiles
4. 20 feet
5. (Pending the image for length of QR)