please check my answers
1. the ratio of 5 3/5 to 2 1/10=8to 3
2.the ratio of 7 dimes to 3 quarters =14 to 15
3.Marc took 3 hours (h) to mow a lawn while Angelina took 150 minutes
(min) to mow the same lawn a week earlier. Write the ratio of Marc’s time to
Angelina’s time as a ratio of whole numbers=6 to 5
4.find the rate 240 pounds of fertelizer/6 lawns=40
5.Which is the better buy: 5 lb of sugar for $4.75 or 20 lb of sugar for $19.92?= 5 pound bag .95 cents
6.write as proportions If Maria hit 8 home runs in 15 softball games, then she should hit 24 home runs in
45 games.=8/15=24/45
7.Determine whether each pair of fractions is proportional 5/8=75/120=yes
8.Determine if the given rates are equivalent.12 gallons of paint/8329ft2=9 gallons of paint/1240ft2=no not equalivalnt
9.A store has T-shirts on sale at 2 for $5.50. At this rate, what
do five T-shirts cost?=$13.75
10.
Here are the answers for each question:
1. To find the ratio of 5 3/5 to 2 1/10, convert both mixed numbers to improper fractions:
5 3/5 = (5*5 + 3)/5 = 28/5
2 1/10 = (2*10 + 1)/10 = 21/10
Then calculate the ratio by dividing the first fraction by the second fraction:
(28/5)/(21/10) = (28/5)*(10/21) = 8/3
So, the ratio is 8 to 3.
2. To find the ratio of 7 dimes to 3 quarters, convert the units to be the same (either all dimes or all quarters):
Since there are 10 dimes in a dollar and 4 quarters in a dollar, we can convert the dimes to quarters:
7 dimes = 7/10 dollars = 7/10 * 4 quarters = 7/10 * 4/1 quarters = 28/10 quarters
Now, calculate the ratio by dividing the number of quarters by the total number of quarters:
(28/10)/(3/1) = (28/10)*(1/3) = 28/30
So, the ratio is 14 to 15.
3. To write the ratio of Marc's time (3 hours) to Angelina's time (150 minutes) as a ratio of whole numbers, we need to convert the minutes to hours:
150 minutes = 150/60 hours = 2.5 hours
Now, write the ratio of Marc's time to Angelina's time as a ratio of whole numbers:
3 hours to 2.5 hours can be written as 6 to 5.
So, the ratio is 6 to 5.
4. To find the rate of 240 pounds of fertilizer per 6 lawns, divide the total weight by the total number of lawns:
240 pounds / 6 lawns = 40 pounds/lawn
So, the rate is 40 pounds.
5. To determine which is the better buy between 5 lb of sugar for $4.75 and 20 lb of sugar for $19.92, calculate the price per pound for each option:
For the 5 lb bag: $4.75 / 5 lb = $0.95/lb
For the 20 lb bag: $19.92 / 20 lb = $0.996/lb
Since the 5 lb bag is priced at $0.95 per pound, it is the better buy.
6. To write the proportion for Maria hitting 8 home runs in 15 softball games and the expected number of home runs in 45 games, set up the proportion:
8 home runs / 15 games = 24 home runs / 45 games
So, the proportion is 8/15 = 24/45.
7. To determine if the fractions 5/8 and 75/120 are proportional, cross-multiply and check if the products are equal:
5*120 = 8*75
600 = 600
Since the products are equal, the fractions are proportional.
8. To determine if the given rates 12 gallons of paint / 8329 ft² and 9 gallons of paint / 1240 ft² are equivalent, we need to check if the unit rates are equal:
12 gallons / 8329 ft² = 9 gallons / 1240 ft²
Since the unit rates are not equal, the rates are not equivalent.
9. If the store has T-shirts on sale at 2 for $5.50, to find the cost of five T-shirts, divide the total cost by the number of T-shirts:
$5.50 / 2 = $2.75 for one T-shirt
$2.75 * 5 = $13.75 for five T-shirts
So, five T-shirts would cost $13.75.
Please let me know if you have any other questions.