If a brick weights 5 1/4 pounds. At this rate, how much do 24 bricks weigh?
To find out how much 24 bricks weigh, we need to multiply the weight of one brick by the number of bricks.
Weight of one brick = 5 1/4 pounds = 5.25 pounds
Number of bricks = 24
Total weight of 24 bricks = Weight of one brick * Number of bricks
= 5.25 pounds * 24
= 126 pounds
So, 24 bricks weigh 126 pounds.
Students are encouraged to volunteer for at least 1 1/2 hours per week. Autumn volunteers about the same numbers of hours each week. During a 3 week period, she volunteers for 6 3/4 hours. Autumn wants to compare her volunteer rate with the challenge rate.
How many hours per week does autumn volunteer?
To determine how many hours Autumn volunteers per week, we divide the total number of hours she volunteered in a 3-week period by the number of weeks:
Total hours volunteered = 6 3/4 hours = 6.75 hours
Number of weeks = 3
Hours per week = Total hours volunteered / Number of weeks
= 6.75 hours / 3
= 2.25 hours per week
Therefore, Autumn volunteers 2.25 hours per week.
Which ratios have a unit rate of 4? Choose ALL that apply
1/8 cup: 1 cup. 2 cups: 1/2 cup
2 1/2 cups: 5/8 cup. 4 cups: 1 1/4 cups
7/8: 3 1/2 cups. 4 1/3: 3 cups
To determine which ratios have a unit rate of 4, we need to simplify each ratio and see if the simplified form equals 4.
1/8 cup: 1 cup = 1/8 : 1
Simplified form: 1 : 8
Does not equal 4
2 cups: 1/2 cup = 2 : 1/2
Simplified form: 4 : 1
Equals 4
2 1/2 cups: 5/8 cup = 2.5 : 5/8
Simplified form: 20/8 : 5/8
Simplified form: 20 : 5
Equals 4
4 cups: 1 1/4 cups = 4 : 1 1/4
Converting 1 1/4 to an improper fraction: 4/4 + 1/4 = 5/4
Simplified form: 4 : 5/4
Multiplying the numerator and denominator of the ratio by 4 to clear the fraction: 16 : 5
Does not equal 4
7/8 : 3 1/2 cups = 7/8 : 3 4/8
Converting 3 1/2 to an improper fraction: 3/2 + 1/2 = 7/2
Simplified form: 7/8 : 7/2
Multiplying the numerator and denominator of the ratio by 8 to clear the fraction: 7 : 56/2
Simplified form: 7 : 28
Does not equal 4
4 1/3 : 3 cups = 4 1/3 : 3
Converting 4 1/3 to an improper fraction: 4/1 + 1/3 = 13/3
Simplified form: 13/3 : 3
Simplified form: 13 : 9
Does not equal 4
Therefore, the ratios that have a unit rate of 4 are:
- 2 cups : 1/2 cup
- 2 1/2 cups : 5/8 cup
Which ratios have a unit rate less than 1? Choose ALL that apply
2 feet: 4 2/3 mins. 1/8 feet: 1 2/3 mins
3 feet: 12/5 mins. 6/5 feet: 1 mins
1 1/6 feet: 1/3 mins. 1 5/8 feet: 2 mins
To determine which ratios have a unit rate less than 1, we need to simplify each ratio and compare it to 1.
2 feet: 4 2/3 mins = 2 : 4 2/3
Converting 4 2/3 to an improper fraction: 4/1 + 2/3 = 14/3
Simplified form: 2 : 14/3
Multiplying the numerator and denominator of the ratio by 3 to clear the fraction: 6 : 14
Does not have a unit rate less than 1
1/8 feet: 1 2/3 mins = 1/8 : 1 2/3
Converting 1 2/3 to an improper fraction: 1/1 + 2/3 = 5/3
Simplified form: 1/8 : 5/3
Multiplying the numerator and denominator of the ratio by 8 to clear the fraction: 1 : 40/3
Simplified form: 1 : 13 1/3
Does not have a unit rate less than 1
3 feet: 12/5 mins = 3 : 12/5
Simplified form: 3 : 12/5
Multiplying the numerator and denominator of the ratio by 5 to clear the fraction: 15 : 12
Does not have a unit rate less than 1
6/5 feet: 1 mins = 6/5 : 1
Simplified form: 6/5 : 1
Multiplying the numerator and denominator of the ratio by 5 to clear the fraction: 6 : 5
Does not have a unit rate less than 1
1 1/6 feet: 1/3 mins = 1 1/6 : 1/3
Converting 1 1/6 to an improper fraction: 1/1 + 1/6 = 7/6
Converting 1/3 to a fraction with a common denominator: 2/6
Simplified form: 7/6 : 2/6
Simplified form: 7/6 : 1/3
Multiplying the numerator and denominator of the ratio by 6 to clear the fraction: 7 : 2
Does not have a unit rate less than 1
1 5/8 feet: 2 mins = 1 5/8 : 2
Converting 1 5/8 to an improper fraction: 1/1 + 5/8 = 13/8
Simplified form: 13/8 : 2
Multiplying the numerator and denominator of the ratio by 8 to clear the fraction: 13 : 16
Does not have a unit rate less than 1
Therefore, none of the given ratios have a unit rate less than 1.
JUST PICK SOME
Sure, the ratios that have a unit rate less than 1 are:
2 feet: 4 2/3 mins
1/8 feet: 1 2/3 mins
6/5 feet: 1 mins