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}}.
Jason is saving up for a skateboard and helmet. The skateboard is $45.50 with tax and the helmet is $18.25 with tax. He earned 1/3 of the money by mowing lawns and the rest by babysitting. How much did Jason earn babysitting.
Let's calculate the total cost of the skateboard and helmet first.
The cost of the skateboard is $45.50 and the cost of the helmet is $18.25.
So, the total cost is $45.50 + $18.25 = $63.75.
Jason earned 1/3 of the total cost by mowing lawns. To find the amount he earned babysitting, we need to subtract this from the total cost.
Jason earned 1 - 1/3 = 2/3 of the total cost by babysitting.
To find the amount Jason earned babysitting, we multiply 2/3 by the total cost:
($63.75)(2/3) = $42.50.
Therefore, Jason earned $42.50 babysitting. Answer: \boxed{42.50}.
Which expression results in a negative number?
1/2(-2x2/5)
1/3(-18) divided -3
- 1/4(-7-6)
-1/2 divided - 2/3
To determine which expression results in a negative number, let's simplify each expression:
1/2(-2x2/5) = -2/5. Since this expression is negative, it fits the criteria.
1/3(-18) divided -3 = (-6) / (-3) = 2. This expression is positive.
- 1/4(-7-6) = -1/4(-13) = 13/4. This expression is positive.
-1/2 divided - 2/3 = (1/2) / (-2/3) = -3/4. Since this expression is negative, it fits the criteria.
Therefore, the expressions 1/2(-2x2/5) and -1/2 divided - 2/3 result in negative numbers.
Jerri was using a recipe for a large cake that required one-third of a tablespoon of cinnamon. Instead of making one large cake, Jerri decided to use the recipe to make four small cakes. how much cinnamon should she use for each of the four small cakes.
If the recipe calls for one-third of a tablespoon of cinnamon for one large cake, and Jerri is making four small cakes, she will need to divide the amount of cinnamon by 4.
To find one-fourth of one-third of a tablespoon, we multiply one-third by one-fourth:
(1/3) * (1/4) = 1/12.
Therefore, Jerri should use 1/12 tablespoon of cinnamon for each of the four small cakes. Answer: \boxed{\frac{1}{12}\text{ tablespoon}}.
Molly's family has $3,000 set for an upcoming vacation. The family plans to spend 3/5 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals. How much does Molly's family plan to spend on meals.
To find out how much Molly's family plans to spend on meals, we'll need to follow the steps given in the problem.
The family plans to spend 3/5 of $3,000 on gasoline and motel rooms. To find this amount, we'll multiply $3,000 by 3/5:
($3,000) * (3/5) = $1,800.
Now, we need to find 1/2 of the remainder, which is the amount left after spending on gasoline and motel rooms. The remainder is $3,000 - $1,800 = $1,200. To find 1/2 of $1,200, we'll multiply $1,200 by 1/2:
($1,200) * (1/2) = $600.
Therefore, Molly's family plans to spend $600 on meals. Answer: \boxed{600}.
Rational numbers m and n are plotted on the number line below.
Based on the number line, which statement is true.
The value of n - m is positive
The value of n+m is positive
The value of n+m is negative
The value of -(n-m) is negative
Since m is located to the left of n on the number line, we can conclude that m is less than n.
From this, we can deduce that n - m will be positive because subtracting a smaller number from a larger number will result in a positive value.
Therefore, the statement "The value of n - m is positive" is true.
What is the result of this calculation?
1/2 x 4/3 + 5/6 divide 7/8=
To evaluate this expression, we'll follow the order of operations: multiplication, addition, and division.
First, let's calculate 1/2 multiplied by 4/3:
(1/2) * (4/3) = 4/6 = 2/3
Next, let's add 2/3 to 5/6:
(2/3) + (5/6) = (4/6) + (5/6) = 9/6 = 3/2
Finally, let's divide 3/2 by 7/8:
(3/2) / (7/8) = (3/2) * (8/7) = (3*8) / (2*7) = 24/14 = 12/7
Therefore, the result of this calculation is 12/7. Answer: \boxed{\frac{12}{7}}.
1 27/42
1 13/21
1 33/42
1 19/48
To simplify the fractions, we need to convert them to mixed numbers.
1. To convert 1 27/42 to a mixed number, multiply the whole number (1) by the denominator (42) and add the numerator (27). This gives us 1 * 42 + 27 = 42 + 27 = 69. So, 1 27/42 simplifies to 69/42.
2. To convert 1 13/21 to a mixed number, multiply the whole number (1) by the denominator (21) and add the numerator (13). This gives us 1 * 21 + 13 = 21 + 13 = 34. So, 1 13/21 simplifies to 34/21.
3. To convert 1 33/42 to a mixed number, multiply the whole number (1) by the denominator (42) and add the numerator (33). This gives us 1 * 42 + 33 = 42 + 33 = 75. So, 1 33/42 simplifies to 75/42.
4. To convert 1 19/48 to a mixed number, multiply the whole number (1) by the denominator (48) and add the numerator (19). This gives us 1 * 48 + 19 = 48 + 19 = 67. So, 1 19/48 simplifies to 67/48.
Therefore, the fractions in simplified form are:
1. 69/42
2. 34/21
3. 75/42
4. 67/48
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?
A.
1,025 feet
B.
1,100 feet
C.
1,175 feet
D.
1,550 feet
To find the elevation of the balloon when it passes over the school, we need to calculate the net change in elevation.
The balloon starts at an elevation of 1,100 feet.
It then descends 500 feet, so the elevation becomes 1,100 - 500 = 600 feet.
Next, it rises 950 feet from the previous elevation of 600 feet, so the elevation becomes 600 + 950 = 1,550 feet.
Finally, it descends 375 feet from the previous elevation of 1,550 feet, so the final elevation is 1,550 - 375 = 1,175 feet.
Therefore, the elevation of the balloon when it passes over the school is 1,175 feet. Answer: \boxed{1,175 \text{ feet}}.
What is the result of this calculation?
1/2 x 4/3 + 5/6 divide 7/8=
1 27/42
1 13/21
1 33/42
1 19/48