I will rewrite the question for better understanding:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Answer:
- <em><u>5.3 hours</u></em>
Explanation:
<u>1) Time it takes Ashley to preprate one bag: </u>
<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>
- 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
- 2/3 min + 1/2 min = 7/6 min
<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>
- Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:
- Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min
- Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min
- Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min
<u>4) Time of prepare 1575 bags of samples:</u>
- time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min
<u>5) Convert minutes to hours:</u>
- 356.56 min × 1 hour / 60 min = 5.3 hours
Hi there! I can help you! Okay. So to find the amount of interest, we have to do the formula prt. That means multiply the principal, which is the initial amount of money, the rate, which is the interest rate, and the amount of time, which is usually in years. With that being said, here is how the answers turn out.
$252, 8% for 2 years: $40.32
$400, 2% for 6 months: $4
$5,000, 3.5% for 1 year: $175
$6,240, 10% for 9 months: $468
For the months, we just convert those numbers into decimal. 6 months is 1/2 a year, so it would be 0.5 and 9 months is 3/4 of a year, so that decimal would be 0.75. All you have to do is multiply the amount of money by percentage (you can do it by decimal form) by amount of time, and you’ll be good.
Answer:
It is c = kt.
Step-by-step explanation:
This is direct variation . As the time increases the number of cranes increases.
The equation is c = kt where k is the constant of variation. In this case it will be a positive value because c is increasing with time.
If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;
20 = k * 10
g = 20/10
k = 2.
So they make 2 cranes per minute.
Answer:
100 percent increase
Step-by-step explanation:
1st garden
Length = 6 ft
Width = 4 ft
Perimeter = 2 (l+w)
= 2 (6+4) = 2(10) = 20
2nd garden
The length and width are 2 times the 1st garden
Length = 2 *6 = 12
Width = 2 *4 = 8
Perimeter = 2 (l+w)
= 2 (12+8) = 2(20) = 40
Percent change = (new - old )/old * 100 percent
The 1st garden is the old garden = 20 and the 2nd garden is the new garden = 40
Substituting in
Percent change = (40-20)/20 = 20/20 =100 *100 percent
= 100 percent increase
