Ayesha bought a 24-pack of lip gloss for $17.28. What is the unit cost per tube of lip gloss?
A.
$8.64
B.
$1.44
C.
$2.88
D.
$0.72
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To find the unit cost per tube of lip gloss, we divide the total cost by the number of tubes.
Total cost = $17.28
Number of tubes = 24
Unit cost per tube = Total cost / Number of tubes
Unit cost per tube = $17.28 / 24
Unit cost per tube = $0.72
Therefore, the unit cost per tube of lip gloss is $0.72.
Answer: D. $0.72
The base of a shipping drum is in the shape of a circle with a diameter of 22 inches. Which of the following is closest to the circumference of the base of the shipping drum? (Use 3.14 for .)
A.
1,519.76 inches
B.
34.54 inches
C.
69.08 inches
D.
138.16 inches
The circumference of a circle is found using the formula C = πd, where C is the circumference and d is the diameter.
Given that the diameter of the circle is 22 inches, we can calculate the circumference as follows:
C = 3.14 * 22
C ≈ 69.08 inches
Therefore, the closest value to the circumference of the base of the shipping drum is 69.08 inches.
Answer: C. 69.08 inches
Which of the following is equivalent to the fraction above? - (4/13)
A. -4/-13
B. 4/13
C. -13/4
D. -4/13
The fraction - (4/13) can be simplified by multiplying both the numerator and denominator by -1 to give us 4/13.
Therefore, the equivalent fraction to - (4/13) is B. 4/13
Answer: B. 4/13
Which equation could be used to find the total amount earned, T, for working h hours at d dollars per hour?
A. t=dh
B. t=h/d
C. t=d/h
D. t=d+h
The equation that could be used to find the total amount earned, T, for working h hours at d dollars per hour is:
T = d * h
Therefore, the correct equation is A. t = dh.
Answer: A. t = dh.
e probability of randomly selecting a nickel from a bag of 50 coins is 25/50. Which of the following describes the likelihood of selecting a nickel?
A.
neither unlikely nor likely
B.
unlikely
C.
likely
The probability of randomly selecting a nickel from a bag of 50 coins is 25/50, which simplifies to 1/2.
Since the probability is exactly 1/2, it means that selecting a nickel from the bag is equally likely as not selecting a nickel.
Therefore, the correct option is:
A. neither unlikely nor likely
Answer: A. neither unlikely nor likely
Convert the following fraction to a decimal. 1/5
A.
0.42
B.
5.00
C.
0.25
D.
0.2
To convert the fraction 1/5 to a decimal, we divide the numerator (1) by the denominator (5).
1 ÷ 5 = 0.2
Therefore, the decimal equivalent of 1/5 is 0.2.
Answer: D. 0.2
Which two ordered pairs represent a proportional relationship?
A.
(4, 2) and (4, 2)
B.
(2, 1) and (4, 2)
C.
(3, 1) and (4, 2)
D.
(2, 1) and (4, 3)
To determine if two ordered pairs represent a proportional relationship, we check if the ratios of their corresponding coordinates are equal.
In option A, (4, 2) and (4, 2), the ratio of the y-coordinates is 2/2 = 1. However, this ratio is not equal to the ratio of the x-coordinates (4/4 = 1). Therefore, this does not represent a proportional relationship.
In option B, (2, 1) and (4, 2), the ratio of the y-coordinates is 2/1 = 2, which is equal to the ratio of the x-coordinates (4/2 = 2). Therefore, this represents a proportional relationship.
In option C, (3, 1) and (4, 2), the ratio of the y-coordinates is 2/1 = 2, which is equal to the ratio of the x-coordinates (4/3). Therefore, this represents a proportional relationship.
In option D, (2, 1) and (4, 3), the ratio of the y-coordinates is 3/1 = 3, which is not equal to the ratio of the x-coordinates (4/2 = 2). Therefore, this does not represent a proportional relationship.
Therefore, the two ordered pairs that represent a proportional relationship are in option B:
(2, 1) and (4, 2).
Answer: B. (2, 1) and (4, 2)
Emma spent $32.22 on 3 dozen bagels and a gallon of iced tea. The price of the gallon of iced tea was $5.25. The following equation can be used to find d, the price of each dozen of bagels.
3d + 5.25 = 32.22
What was the price of each dozen of bagels?
A.
$10.74
B.
$5.49
C.
$7.99
D.
$8.99
To find the price of each dozen of bagels, we need to solve the equation:
3d + 5.25 = 32.22
First, let's isolate the term with 'd' by subtracting 5.25 from both sides of the equation:
3d = 32.22 - 5.25
3d = 26.97
Next, divide both sides of the equation by 3 to solve for 'd':
d = 26.97 / 3
d ≈ 8.99
Therefore, the price of each dozen of bagels is approximately $8.99.
Answer: D. $8.99
Jerome got in the elevator on the first floor of his office building. He went up 20 floors to his office. Then, Jerome took the stairwell down 3 floors for a morning meeting. After the morning meeting, he took the elevator down 8 floors for lunch in the cafeteria. Then, Jerome took the stairwell up 5 floors for an afternoon meeting. On which floor was his afternoon meeting?
A.
twenty-first
B.
fifth
C.
fifteenth
D.
thirty-seventh
Jerome started on the first floor, went up 20 floors to his office, then went down 3 floors for a morning meeting. After the morning meeting, he took the elevator down 8 floors for lunch, and then took the stairwell up 5 floors for an afternoon meeting.
To determine which floor the afternoon meeting was on, we calculate the total change in floor from the starting point.
Starting on the first floor, Jerome went up 20 floors, then down 3 floors, then down 8 floors, and finally up 5 floors.
20 - 3 - 8 + 5 = 14
Therefore, Jerome's afternoon meeting was on the fourteenth floor.
Answer: The fourteenth floor.