Please double check me
Find each rate
240 pounds of fertilzer divide by 6 lawns
Answer: 40 lbs/lawns
Which is the better buy: 5lb of sugar for $4.75 or 20lb of sugar for $19.92
Answer 5lb
Write the following proportions
If Maria hit 8 home runs in 15 softball games, then she should hit 24 home runs in 45 games
Answer: 24home runs / 45 games
Determine whether each pair of fractions is proportional
5/8 = 75/120
Answer: Proportional
Determine if the given rates are equivalent
12 gallon of paint /8,329ft2 = 9 gallon of paint /1240 ft2
Answer: Not proportional
A store has t-shirts on sale at 2 for $5.50. At this rate, what do five t-shirts cost?
Answer: $13.75
all correct
240/6 what is the rate
To double-check the calculations:
1. Finding the rate: You correctly calculated that 240 pounds of fertilizer divided by 6 lawns gives a rate of 40 lbs/lawn. Well done!
2. Comparing prices: You correctly identified that the better buy is 5lb of sugar for $4.75. The cost per pound for this option is $4.75/5lb = $0.95/lb.
For the second option, 20lb of sugar for $19.92, the cost per pound is $19.92/20lb = $0.996/lb. Therefore, the first option is indeed the better buy. Great job!
3. Writing proportions: The given proportion states that if Maria hit 8 home runs in 15 softball games, then she should hit 24 home runs in 45 games. The proportion can be written as:
8 home runs / 15 games = 24 home runs / 45 games
You got it right! Well done!
4. Determining if fractions are proportional: The fractions 5/8 and 75/120 are proportional if their cross products are equal. Let's calculate the cross products:
5 * 120 = 600
8 * 75 = 600
Since the cross products are equal, the fractions are indeed proportional. Great job!
5. Checking equivalent rates: The given rates are 12 gallons of paint for 8,329 square feet and 9 gallons of paint for 1,240 square feet. To determine if the rates are equivalent, we need to check if the ratio of gallons to square feet is the same in both rates.
For the first rate: 12 gallons / 8,329 ft² = 0.00144 gallons/ft²
For the second rate: 9 gallons / 1,240 ft² = 0.00726 gallons/ft²
Since the rates are not the same (0.00144 ≠ 0.00726), they are not equivalent. Good job on spotting that!
6. Calculating the cost of five t-shirts: The store offers t-shirts at a rate of 2 for $5.50. To find the cost of five t-shirts, we can set up a proportion:
2 t-shirts / $5.50 = 5 t-shirts / X
Cross multiplying, we get:
2 * X = 5 * $5.50
2X = $27.50
X = $27.50 / 2
X = $13.75
You nailed it! The cost of five t-shirts would be $13.75. Great work!