Which of the following is the weight of the cargo in a truck if 2/3 of the cargo weighs 530 pounds (lb)?
795 lb
1030 lb
1590 lb
688 lb
Correct Answer : A
The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.
Solve for value of p by cross products
Multiply both sides by 3/2 a reciprocal of 2/3
The truck carries a cargo weighing 795 lb.
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Related Questions
Correct Answer is B
Explanation
The initial step is to convert the decimal numbers into fractions.
5.2 becomes 52/10
5.15 becomes 515/100
Next, find the least common denominator of 3, 10, and 100, which is 300. We use this value and multiply each fraction.
7/3*300=700
52/10*300=1560
13/3*300=1300
515/100*300=1545
From the above, 1560 is the greatest value which corresponds to 52/10. Thus, 5.2 is the greatest value of all the choices given.
Correct Answer is C
Explanation
In a bell-shaped curve, the data distribution is symmetric around a single peak. The centering of data around a single peak means the mean, mode and median of the test are all equal to each other.
Correct Answer is B
Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected.
From the above evaluations, option two is the correct choice.
Correct Answer is A
Explanation
We need to form a mathematical expression from the given word problem.
Let the unknown number be x.
Thrice a number is three times = 3x
Twelve less than thrice a number = 3x-12
Thus, the mathematical expression from the word problem is 3x-12
Correct Answer is D
Explanation
We are required to find the percent equivalent of the given fraction.
We multiply 7/8 by 100 to convert it to percent. You convert fraction to percent.
Thus 7/8 is equal to 87.5%.
Correct Answer is C
Explanation
to find the average time the athlete runs in 1 mile; we find total distance and total time the athlete takes in running.
Total distance run by athlete=7+3=10 miles
Total time=45+15 =60 minutes
The athlete runs 10 miles in 60 minutes. For the athlete to cover 1 mile, he will run for a time less than 60 minutes. Thus, in 1 mile, the athlete takes:
So, in 6 minutes, the athlete covers 1 mile.
Correct Answer is D
Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
Correct Answer is A
Explanation
In the given problem, we use the calculator to evaluate the product 1.9 * 0.75 = 1.425
Correct Answer is C
Explanation
To convert 514 to a percentage:
Step 1: Convert the mixed number to a decimal
514=5+14=5+0.25=5.255
Step 2: Convert to a percentage
Multiply by 100:
5.25×100=525%
Correct Answer is C
Explanation
We need to find the amount Lana left after spending and investing another.
Lana spends=70% of $90=70/100 * 90 = $63
Amount left after spending=$(90-63) = $27
Lana is left with $27, which she will invest and earns a profit of 60%.
Profit earned=60% of $27 = 60/100 * 27 = $16.20
Therefore, Lana will have $27 + $16.20 = $43.20
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