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 number of servings, we need to divide 42 1/2 by 1 1/4. We can rewrite 42 1/2 as 85/2 and 1 1/4 as 5/4. Dividing these fractions, we get (85/2)/(5/4). To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we have (85/2)*(4/5) = (85*4)/(2*5) = (340)/(10) = <<340/10=34>>34. Answer: \boxed{34}.
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.
The balloon rises to an initial elevation of 1,100 feet, then descends 500 feet, rises 950 feet, and descends 375 feet.
So, 1,100 - 500 + 950 - 375 = 2,900 feet.
Therefore, the elevation of the balloon when it passes over the school is 2,900 feet. Answer: \boxed{2900}.
1,025
1,100
1,175
1,550
The elevation of the balloon when it passes over the school is 1,550 feet. Answer: \boxed{1550}.
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.
Aaron earns $7.25 per hour and works 3 1/2 hours every Saturday. To find his weekly pay, we multiply his hourly rate by the number of hours he works:
$7.25/hour * 3.5 hours/week = $25.37/week
Next, we need to find his monthly pay by multiplying his weekly pay by the number of weeks in a month (4):
$25.37/week * 4 weeks/month = $101.48/month
If Aaron receives a $1.00 raise, his new hourly rate will be $7.25 + $1.00 = $8.25.
Using his new hourly rate, we can calculate his new monthly pay:
$8.25/hour * 3.5 hours/week * 4 weeks/month = $115.50/month
Therefore, Aaron will be paid $115.50 in his next paycheck. Answer: \boxed{115.50}.
What is the value of the expression 2/3(-6+4)
To evaluate the expression 2/3(-6+4), we need to follow the order of operations, which is parentheses, multiplication and division from left to right.
First, we simplify inside the parentheses: (-6 + 4) = -2.
Next, we divide -2 by 3: -2/3.
Finally, we multiply -2/3 by 2: (-2/3) * 2 = -4/3.
Therefore, the value of the expression 2/3(-6+4) is -4/3. Answer: \boxed{-\frac{4}{3}}.