what is the result of this caculation
1/2 x 4/3 + 5/6 divided by 7/8
To calculate this expression, follow the order of operations (also known as PEMDAS/BODMAS):
1) Multiply the numerators (top numbers) and denominators (bottom numbers) of the fractions in the first term separately:
(1/2) * (4/3) = 4/6
2) Find the sum of the fraction obtained in step 1 and the fraction in the second term:
4/6 + 5/6 = 9/6
3) Divide the fraction obtained in step 2 by the fraction in the third term:
(9/6) รท (7/8) = (9/6) * (8/7) = 72/42 = 12/7
Therefore, the result of the calculation 1/2 x 4/3 + 5/6 divided by 7/8 is 12/7.
Jeremy buys a value pack of cheese crackers that contains
ounces of crackers. He divides this into servings of
ounces each. What is the total number of servings Jeremy can make from the value pack?
To find the total number of servings Jeremy can make from the value pack, you need to divide the total ounces of crackers by the size of each serving.
Let's say the total ounces of crackers in the value pack is X and the size of each serving is Y.
So, the number of servings Jeremy can make is X divided by Y:
Number of servings = X / Y
Please provide the specific values for X and Y to get the accurate result.
Jeremy buys a value pack of cheese crackers that contains 42 1/2
ounces of crackers. He divides this into servings of 1 1/4
ounces each. What is the total number of servings Jeremy can make from the value pack?
To find the total number of servings Jeremy can make from the value pack, we need to divide the total ounces of crackers (42 1/2) by the size of each serving (1 1/4).
First, convert the mixed numbers to improper fractions:
Total ounces of crackers = 42 1/2 = (42 * 2 + 1)/2 = 85/2
Size of each serving = 1 1/4 = (1 * 4 + 1)/4 = 5/4
Now, divide the total ounces of crackers by the size of each serving:
Number of servings = (85/2) / (5/4)
To divide fractions, we invert the divisor (the second fraction) and multiply:
Number of servings = (85/2) * (4/5)
Multiply the numerators and denominators separately:
Number of servings = (85 * 4) / (2 * 5) = 340/10 = 34
Therefore, Jeremy can make a total of 34 servings from the value pack of cheese crackers.
A hot air balloon leaves the ground and rises to an elevation of 1,100 feet. During the next 30 minutes, it descends 500 feet, rises 950 feet, descends 375 feet, and finally passes over a school. What is the elevation of the balloon when it passes over the school?
To find the elevation of the balloon when it passes over the school, we need to calculate the net change in elevation.
The balloon initially rises to an elevation of 1,100 feet. Then, it goes through the following sequence of changes:
1. It descends 500 feet.
2. It rises 950 feet.
3. It descends 375 feet.
To find the total change in elevation, we subtract the total amount descended from the total amount risen:
Total change in elevation = (1,100 + 950) - (500 + 375)
Simplifying the calculation:
Total change in elevation = 2,050 - 875
Total change in elevation = 1,175 feet
Therefore, the elevation of the balloon when it passes over the school is 1,175 feet.
Aaron works 3 1/2
hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?
To calculate Aaron's next paycheck, we need to determine his current rate of pay and multiply it by the number of hours worked.
1) Aaron currently earns $7.25 per hour. With a $1.00 raise, his new hourly rate of pay will be $7.25 + $1.00 = $8.25 per hour.
2) Aaron works 3 1/2 hours every Saturday. We need to convert the mixed number to an improper fraction:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
3) Multiply the number of hours worked by the new hourly rate of pay:
Total pay = (7/2 hours) * ($8.25/hour) = (7 * 8.25) / 2 = 57.75 / 2 = $28.875
However, since Aaron is paid every four weeks, we need to multiply his pay by the number of weeks in a four-week period:
Total pay = $28.875 * 4 = $115.50
Therefore, Aaron will be paid $115.50 in his next paycheck after receiving a $1.00 raise.
Aaron works 3 1/2
hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?
A 95.70
B 101.50
C 108.90
D 115.50