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?
A.8 1/2 servings
B.34 servings
C.43 3/4 servings
D.53 servings
Since Jeremy has a value pack of cheese crackers that contains ounces of crackers and he divides each serving into ounces, the total number of servings he can make from the value pack is found by dividing the total weight of the crackers by the weight of each serving:
ounces of crackers / ounces per serving = number of servings
Therefore, the correct answer is B. 34 servings.
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
The balloon started at an elevation of 1,100 feet. Then, it descended 500 feet, rose 950 feet, and descended again 375 feet.
To find the final elevation, we subtract the total amount it has descended from the starting elevation:
1,100 feet - 500 feet - 375 feet = 225 feet
Thus, the elevation of the balloon when it passes over the school is 1,100 feet + 225 feet = 1,325 feet.
None of the given answer choices are exactly 1,325 feet, so D. 1,550 feet is the closest option.
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
Aaron works 3 1/2 hours every Saturday at a rate of $7.25 per hour, so his earnings per week can be calculated as:
Earnings per week = hours worked per week × rate per hour
Earnings per week = 3.5 hours/week × $7.25/hour = $25.375/week
His boss gives him a $1.00 raise, so his new rate per hour becomes $7.25 + $1.00 = $8.25/hour.
His new weekly earnings can now be calculated as:
New weekly earnings = hours worked per week × new rate per hour
New weekly earnings = 3.5 hours/week × $8.25/hour = $28.875/week
Aaron is paid every four weeks, so his paycheck will be:
Paycheck = 4 weeks × weekly earnings
Paycheck = 4 × $28.875 = $115.50
Therefore, Aaron will be paid $115.50 in his next paycheck.
The correct answer is D. $115.50.
What is the value of the expression 2/3(-6+4)?
A.0
B.-2/3
C.4/3
D.-4/3
To simplify the expression, we use the order of operations (PEMDAS/BODMAS). First, we solve the parentheses:
-6 + 4 = -2
Next, we multiply the fraction 2/3 by -2:
2/3 * -2 = -4/3
Therefore, the value of the expression 2/3(-6 + 4) is D. -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?
A.
$19.13
B.
$21.25
C.
$30.33
D.
$42.50
To find out how much Jason earned babysitting, we first need to determine how much money he had earned in total.
The cost of the skateboard with tax is $45.50 and the cost of the helmet with tax is $18.25. Therefore, the total cost of the skateboard and helmet is:
$45.50 + $18.25 = $63.75
Since Jason earned 1/3 of the total money mowing lawns, the amount he earned mowing lawns is:
(1/3) * $63.75 = $21.25
To find out how much Jason earned babysitting, we subtract the amount earned mowing lawns from the total amount earned:
Total earned - Money earned mowing lawns = Money earned babysitting
$63.75 - $21.25 = $42.50
Therefore, Jason earned $42.50 babysitting.
The correct answer is D. $42.50.
Which expression results in a negative number?
A.1/2(-2x 2/5)
B.1/3(-18) divided by -3
C.-1/4(-7-6)
D.-1/2 divided by -2/3
To determine which expression results in a negative number, we evaluate each expression.
A. 1/2(-2x 2/5)
This expression involves multiplication and does not have any negative factors. Therefore, it will not result in a negative number.
B. 1/3(-18) divided by -3
This expression involves division, but both the numerator and denominator are negative. When we divide two negative numbers, the result is positive. Therefore, it will not result in a negative number.
C. -1/4(-7-6)
This expression involves subtraction and multiplication. The expression -7-6 results in -13. When we multiply -1/4 by -13, we get a positive number. Therefore, it will not result in a negative number.
D. -1/2 divided by -2/3
This expression involves division. When we divide two negative numbers, the result is positive. Therefore, it will not result in a negative number.
None of the provided expressions results in a negative number.
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?
A.1/12 of a tablespoon
B.4/3 of a tablespoon
C.1/4 of a tablespoon
D. 1/3 of a tablespoon
If the original recipe for a large cake required one-third of a tablespoon of cinnamon, the amount of cinnamon needed for each small cake can be found by dividing the original amount by the number of small cakes.
The original amount of cinnamon is 1/3 of a tablespoon, and Jerri wants to make four small cakes.
Therefore, the amount of cinnamon for each small cake is:
1/3 tablespoon / 4 small cakes = 1/12 tablespoon per small cake
Therefore, the correct answer is A. 1/12 of a tablespoon.
Molly's family has $3,000 set aside 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?
A.$600
B.$900
C.$1,200
D.$1,500
To find out how much Molly's family plans to spend on meals, we first need to determine how much money will be spent on gasoline and motel rooms.
The family plans to spend 3/5 of the $3,000 set aside. Therefore, the amount of money spent on gasoline and motel rooms is:
(3/5) * $3,000 = $1,800
We then need to determine how much money is left after spending $1,800 on gasoline and motel rooms. This can be found by subtracting $1,800 from the total amount set aside:
$3,000 - $1,800 = $1,200
Finally, we need to determine how much of the remaining $1,200 will be spent on meals. The family plans to spend 1/2 of the remainder on meals. Therefore, the amount of money spent on meals is:
(1/2) * $1,200 = $600
Therefore, Molly's family plans to spend $600 on meals.
The correct answer is A. $600.
Rational numbers m and n are plotted on the number line below.
The number line showing numbers from -4 to 4 each divided into 4 segments has point n halfway between 0 and the first segment to the left of 0 and point m halfway between third and the fourth segment to the right of 0.
Based on the number line, which statement is true?
A.
The value of is positive.
B.
The value of is positive.
C.
The value of is negative.
D.
The value of is negative.
Based on the description of the number line, the points m and n are as follows:
- The number n is halfway between 0 and the first segment to the left of 0.
- The number m is halfway between the third and the fourth segment to the right of 0.
Since n is the midpoint between 0 and a negative number to the left of 0, the value of n is negative. Therefore, statement C, "The value of n is negative," is true.
Since m is the midpoint between the third and fourth segments to the right of 0, both of which are positive, the value of m is positive. Therefore, statement B, "The value of m is positive," is true.
Therefore, the correct answer is B. "The value of m is positive."