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?
A.
8
1
2
servings
B.
34 servings
C.
43
3
4
servings
D.
53 servings
To find the number of servings Jeremy can make from the value pack, we need to divide the total number of ounces in the pack by the size of each serving.
The total number of ounces in the pack is 42.
The size of each serving is 1/4 ounces.
42 / (1/4) = 42 * 4 = 168 servings.
Therefore, the total number of servings Jeremy can make from the value pack is 168.
The correct answer is D. 53 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
To find the elevation of the balloon when it passes over the school, we need to add up the changes in elevation.
The balloon starts at an elevation of 1,100 feet.
Then it descends 500 feet.
1,100 - 500 = 600 feet
Next, it rises 950 feet.
600 + 950 = 1,550 feet
Then it descends 375 feet.
1,550 - 375 = 1,175 feet
Therefore, the elevation of the balloon when it passes over the school is 1,175 feet.
The correct answer is C. 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?
A.
$95.70
B.
$101.50
C.
$108.90
D.
$115.50
To find Aaron's pay in his next paycheck, we need to calculate his current pay per hour and then multiply it by the number of hours he works.
Aaron currently earns $7.25 per hour.
With a $1.00 raise, his new pay rate is $7.25 + $1.00 = $8.25 per hour.
Aaron works 3.5 hours every Saturday.
His pay for one Saturday is $8.25 * 3.5 = $28.875.
Since Aaron is paid every four weeks, his paycheck will include 4 Saturdays.
Therefore, the total amount Aaron will be paid in his next paycheck is $28.875 * 4 = $115.50.
The correct answer is D. $115.50.
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 need to subtract the amount he earned from mowing lawns from the total amount he saved.
The skateboard costs $45.50 and the helmet costs $18.25, so the total cost is $45.50 + $18.25 = $63.75.
Jason earned 1/3 of the total money by mowing lawns. So, 1/3 of $63.75 is (1/3) * $63.75 = $21.25.
Therefore, Jason earned $21.25 babysitting.
The correct answer is B. $21.25.
Which expression results in a negative number?
A.
1
2
(−2×
2
5
)
B.
1
3
(−18)÷−3
C.
−
1
4
(−7−6)
D.
−
1
2
÷−
2
3
To determine which expression results in a negative number, we need to evaluate each expression and see if the result is negative.
A. 1/2(−2×25) = 1/2(-50) = -25. This is negative.
B. 1/3(−18)÷−3 = (-6) ÷ (-3) = 2. This is positive.
C. −1/4(−7−6) = -1/4(-13) = 13/4. This is positive.
D. −1/2 ÷ −2/3 = (-1/2) ÷ (-2/3) = 3/4. This is positive.
Therefore, only expression A results in a negative number.
The correct answer is A. 1/2(−2×25).
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
To find out how much cinnamon Jerri should use for each of the four small cakes, we need to divide the amount of cinnamon required for the large cake by the number of small cakes.
The recipe calls for one-third of a tablespoon of cinnamon for the large cake.
To divide this equally among the four small cakes, we need to divide one-third by four.
1/3 ÷ 4 = 1/12.
Therefore, Jerri should use 1/12 of a tablespoon of cinnamon for each of the four small cakes.
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 need to calculate the remainder after spending on gasoline and motel rooms, and then find half of that amount.
Molly's family plans to spend 3/5 of $3,000 on gasoline and motel rooms.
3/5 * $3,000 = $1,800.
The remainder after spending on gasoline and motel rooms is $3,000 - $1,800 = $1,200.
Molly's family plans to spend 1/2 of the remainder on meals.
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.
(Image: 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 n−m is positive.
B.
The value of n+m is positive.
C.
The value of n+m is negative.
D.
The value of −(n−m) is negative.
From the description of the number line, we can see that the value of n is between 0 and the first segment to the left of 0, and the value of m is between the third and fourth segments to the right of 0.
Since n is to the left of 0 and m is to the right of 0, their sum n+m is positive.
Therefore, the correct statement is B. The value of n+m is positive.
What is the result of this calculation?
1
2
⋅
4
3
+
5
6
÷
7
8
=
To calculate the given expression, we need to follow the order of operations: parentheses first, then multiplication/division from left to right, and finally addition/subtraction from left to right.
The expression is:
(1/2 * 4/3) + (5/6 ÷ 7/8)
To simplify the expression, we perform the multiplication and division first:
= (2/6) + (40/42)
Next, we need to find a common denominator to add the fractions:
= (2/6) + (40/42)
To find the common denominator, we need to find the least common multiple (LCM) of 6 and 42, which is 42.
Converting the fractions to have a denominator of 42:
= (14/42) + (40/42)
Now we can add the fractions:
= (14 + 40) / 42
= 54 / 42
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 6:
= (54/6) / (42/6)
= 9/7
Therefore, the result of the calculation 1/2 * 4/3 + 5/6 ÷ 7/8 is 9/7.
What is the result of this calculation?
1
2
⋅
4
3
+
5
6
÷
7
8
=
A.
1
27
48
B.
1
13
21
C.
1
33
42
D.
1
19
48
To calculate the given expression, we need to follow the order of operations: parentheses first, then multiplication/division from left to right, and finally addition/subtraction from left to right.
The expression is:
(1/2 * 4/3) + (5/6 ÷ 7/8)
To simplify the expression, we perform the multiplication and division first:
= (2/6) + (40/42)
Next, we need to find a common denominator to add the fractions:
= (2/6) + (40/42)
To find the common denominator, we need to find the least common multiple (LCM) of 6 and 42, which is 42.
Converting the fractions to have a denominator of 42:
= (14/42) + (40/42)
Now we can add the fractions:
= (14 + 40) / 42
= 54 / 42
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 6:
= (54/6) / (42/6)
= 9/7
Therefore, the result of the calculation 1/2 * 4/3 + 5/6 ÷ 7/8 is 9/7.
The correct answer is D. 1/9/7.