A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?
A. 14/15
B. 2 7/15
C. 8 2/5
D. 6 4/5
We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.
First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: A teacher has asked all the students in the class which days of the week they get up after 8 a.m. which of the following is the best way to display the frequency for each day of the week?
A. Histogram
B. Pie graph
C. Scatter plot
D. Bar graph
Answer Explanation
The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.
Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week. Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.
As you can see below, the Histogram is used to depict a pattern/continuous/range data. While a bar graph does just fine even with discrete data.
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Q #2: Kwame’s uncle is seventeen less than three times Kwame’s age. Which of the equations represents Kwame’s uncle’s age (u) as it relates to Kwame’s age (k)?
A. u=17-3k
B. k=3u-17
C. k=17-3u
D. u=3k-17
Answer Explanation
We are asked to find the Kwame’s uncle’s age in terms of Kwame’s age.
First, we need to find the age of Kwame, which is k. Then, we know that Kwame’s uncle’s age is three times that of Kwame less 17. Then,
Kwame’s uncle’s age, u = 3k-17.
Thus, the relation that relates Kwame’s uncle’s age to that of Kwame is u=3k-17.
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Q #3: A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?
A. 5/12
B. ¼
C. ½
D. 1/3
Answer Explanation
The probability of an event is determined by the relation
Finding the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a red ball from the bag is 1/3.
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Q #4: The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = 5x
B. A = 2x+2(x+5)
C. A = x(x+5)
D. A = x+(x+5)
Answer Explanation
We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.
Length of rectangle=(x+5)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+5)*x
A=x(x+5)
Thus, the area of the rectangle is x(x+5).
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Q #5: A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
A. 20%
B. 13%
C. 11%
D. 9%
Answer Explanation
The question requires us to find the percentage change in weight of a person.
First, we need to find the change in weight over the 3 months
Change in weight= 180-160=20 lb
Percent change in weight is change of original weight *100. Thus
The percent change in weight is 11% to the nearest whole number.
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Q #6: Which of the following is an appropriate unit of measure to express the length of a dollar bill?
A. Decameters
B. Kilometers
C. Centimeter
D. Meters
Answer Explanation
Centimeter is the appropriate unit to measure the length of a dollar bill.
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Q #7: Which of the following is the total number of whole boxes that measure 2 ft * 2 ft * 2 ft that can be stored in a room that measures 9 ft * 9 ft * 9 ft, if the size of the boxes cannot be altered?
A. 125
B. 64
C. 92
D. 18
Answer Explanation
The number of boxes is determined by finding the volume of the room divided by the volume of the box.
Number of boxes
The approximate number of boxes that can be stored in the room is 92.
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Q #8: Which of the following is the appropriate unit of a measure to express the weight of a spoon?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
We required to find the units of finding the weight of a spoon. The mass is measured in kilogram and grams. Kilograms are used to measure the mass of heavier objects while grams for small and lighter objects.
Thus, gram is the appropriate unit for measuring weight of a spoon.
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Q #9: Solve for x in the equation above.
A. x=rwy+z
B. x=rw(y-z)
C. x=y(z+rw)
D. x=rwy+z
Answer Explanation
We are asked to make x the subject of the formula.
First, we add z to both sides of the equation
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of x is y(z+rw).
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Q #10: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb=1 kg)
A. 52.2 lb
B. 22.7 lb
C. 110 lb
D. 220 lb
Answer Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
We find the value of x by cross-multiplication
The value of x is 110 lb.
