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 A
Explanation
The selling price of the sweater is marked price less the mark off value.
Mark off value=mark off rate*original price
Mark of value=30% of $95
Mark of value=0.30*$95=$28.50
Now, find the selling price of the sweater
Selling price= marked price-mark off value

Thus, the sweater will be sold for 66.50 after applying a mark off of 30%. The selling price is about $67.
Correct Answer is A
Explanation
A ratio is of the form a : b but can also be converted to a fraction of the form a/b, where b is not equal to zero. Besides, to in ration means per in fraction form.
In the class of 40 students, 22 are girls and 18 are boys. Thus, the ratio of girls to boys becomes:
 
The above fraction can be reduced further since 2 is a common factor in both 22 and 18. Thus

Â
In ratio form, girls: boys=11:9
Thus, the ratio of girls to boys in a class of 40 students is 11 to 9.
Correct Answer is A
Explanation
The first five months of the year are January, February, March, April, and May. We use to graph to find the amount of rainfall in each month as follows:
In the month of January, rainfall was between o and 1, which is halfway. Therefore, rainfall in January is 0.5 inches
On February, rainfall was 1 inch and on March the rainfall was 2 inches.
On April, the rainfall amount was 4 inches while on month of May, the rainfall was about 3.5 inches. Therefore, total rainfall in the first 5 months was:
Total rainfall=0.5 inches+1 inches+ 2 inches+4 inches + 3.5 inches =11 inches
Correct Answer is B
Explanation
We need to find the radius of the circle from the given value of area. Then, the radius of the circle will be used to find the circumference of the circle.
The first step is to find the radius, r of the circle as


Thus, the circumference of a circle whose area is \(9\pi\ in\ ^2\)is 6
in.
Correct Answer is D
Explanation
Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.
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+192
227
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 D
Explanation
We use 1 L =1000 mL to convert between the two units. The conversion options of interconversions are:

And

We want millimeters, use the second option to change L to mL as:

Therefore, 2.5 L is equivalent to 2500 mL.
Correct Answer is B
Explanation
The median of a data set is found in two ways:
For an odd data set, the median fall in the (N+1)/2 th position.
For an even data set, the median is the average of the element in the (N/2)th and (N+1)/2 th positions.
To find the median of the given data set, we need to arrange the elements from the smallest to the largest as follows:
12, 12, 16, 18, 19, 22, 23, 24, 26, 35, 35
There are 11 elements in the data set. 11 is an odd number and the median fall in the (N+1)/2 th position.
Median =(11+1)/2=12/2=6 th position.
From the organized data, the element in the 6th position is 22, which is the required median for the data set.
Correct Answer is D
Explanation
We two conversions when asked to convert between kg and lb

And

We need kg equivalent of 220 lb, therefore we use option 1 and carry out the conversions as follows:

Thus, 100kg is equal to 220lb.
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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