Which of the following is the weight of the cargo in a truck if 1/3 of the cargo weighs 516 pounds (lb)?
A. 172 lb
B. 1032 lb
C. 1548 lb
D. 688 lb
In this problem, we assume the truck carries a whole cargo. Thus, total weight is 516 lb divided by 1/3. Thus,
We change the division sign to product and multiply 516 by reciprocal of 1/3. Then,
The weight of the cargo will be 1548 lbs.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all of the floors, how much ammonia is needed?
A. 20 gallons
B. 720 gallons
C. 20 oz
D. 720 oz
Answer Explanation
we use given information to find how much ammonia is need to make the specified solution.
We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:
1 gallon of solution6 oz of ammonia
Or
6 oz of ammonia1 gallon of solution
Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 720 oz of ammonia.
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Q #2: An athlete runs 4 miles in 28 minutes and then changes their pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
A. 7 minutes
B. 8 minutes
C. 7.5 minutes
D. 8.5 minutes
Answer Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.
Total distance=4+4=8 miles
Total time=28+32 =60 minutes
From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.
So, the athlete covers 1 mile in 7.5 minutes.
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Q #3: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 8 feet and a hypotenuse of 12 feet? (Round to the nearest tenth.)
A. 40 feet
B. 4 feet
C. 14.4 feet
D. 8.9 feet
Answer Explanation
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below
Let the unknown length be x.
Applying the Pythagoras theorem, the value of x is found as:
The unknown length of the triangle is approximately 8.9 feet.
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Q #4: A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?
A. $4.00
B. $6.00
C. $5.00
D. $7.00
Answer Explanation
When dealing with percent problems, the following is utilized to find the unknown variable.
- Is means equals
- Of means multiply
- What means unknown (variable)
From the problem above, we are looking for the amount of gratuity the couple can leave.
Let t be the amount of gratuity. Translating into an equation, we have
The gratuity is 15% of the total bill, which becomes
Here, of means multiply and we also convert percent into decimal before multiplying.
So, the value of t=5.76
Thus, a couple will leave a gratuity of $5.76, which is about $6.00.
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Q #5: The data below represents students’ test scores. Which of the following is the median of the set data? 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13
A. 15
B. 12
C. 14
D. 15.8
Answer Explanation
the median of a data set is the element that is found on the middle position. It is found by organizing the elements from the smallest to largest.
The data set above arranged from the smallest to largest is:
11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26
The number of elements is odd and the median is found in the (N+1)/2 th position. Here N=11, and the median falls in (11+1)/2=12/2=6 th position.
The element 14 falls in the 6th position, which is our median of the given data set.
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Q #6: Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does she now have?
A. $21.60
B. $86.40
C. $9.60
D. $60
Answer Explanation
we are needed to find the amount Lana is left with after spending and investing the rest using the given information.
Amount Lana spends = 80% of $60= 80/100 * 60 = $48
Amount left to invest = $(60-48) = $12
Lana is left with $12, which she invests and earns a profit of 80%.
Profit earned = 80% of $12 = 80/100 * 12 = $9.20
So, Lana will have $12 + $9.20 = $21.60
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Q #7: Which of the following is the weight of the cargo in a truck if 1/3 of the cargo weighs 516 pounds (lb)?
A. 172 lb
B. 1032 lb
C. 1548 lb
D. 688 lb
Answer Explanation
In this problem, we assume the truck carries a whole cargo. Thus, total weight is 516 lb divided by 1/3. Thus,
We change the division sign to product and multiply 516 by reciprocal of 1/3. Then,
The weight of the cargo will be 1548 lbs.
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Q #8: A bucket can hold 3 L. How many ml can the bucket hold?
A. 3000 mL
B. 300 mL
C. 30 mL
D. 0.003 mL
Answer Explanation
to change L to mL we use the following options of interconversions:
Or
Since we are needed to change L to mL, use the second option.
Thus, a bucket can hold 3000 mL which is equal to 3 L.
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Q #9: 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 of each day of the week?
A. Histogram
B. Scatterplot
C. Pie graph
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 #10: When the weights of the newborn babies are graphed, the distribution of weights is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?
A. Uniform
B. Bell-shaped
C. Skewed right
D. Bimodal
Answer Explanation
Since the distribution is symmetric, the mean, mode, and median will all be equal. The shape of the distribution will be bell-shaped.
