How many yards are in 27 feet?
3 yards
18 yards
6 yards
9 yards
Correct Answer : D
Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:
Thus, 9 yards is equal to 27 ft.
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Correct Answer is D
Explanation
From the cost of 45 syringes, we are required to find the cost of 5 syringes. We set up a proportion equation by letting the cost of 5 syringes to y. Besides, we let the cost to be numerator and number of syringes to be denominator as follows.
Solve the value of y by cross products
Divide both sides by 45
Therefore, 5 syringes will cost $80.00.
Correct Answer is C
Explanation
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:
Now we evaluate the above equation noting that of means multiply.
So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
Correct Answer is B
Explanation
The median of a data set is found in two ways:
For an odd data set, the median fall in the (N+1)/2 th position.
For an even data set, the median is the average of the element in the (N/2)th and (N+1)/2 th positions.
To find the median of the given data set, we need to arrange the elements from the smallest to the largest as follows:
12, 12, 16, 18, 19, 22, 23, 24, 26, 35, 35
There are 11 elements in the data set. 11 is an odd number and the median fall in the (N+1)/2 th position.
Median =(11+1)/2=12/2=6 th position.
From the organized data, the element in the 6th position is 22, which is the required median for the data set.
Correct Answer is B
Explanation
To solve this problem, we need to have all options in fraction form.
74 95 =
7/8 = 3/8
0.72 = 72/100
74% = 74/100
Now, find the least common denominator of 95, 8, and 100. The least common denominator is 3800, which we multiply by each fraction as follows:
74/95*3800=2960
7/8*3800=3325
72/100*3800=2736
74/100*3800=2812
We can see that the fraction 7/8 is the greatest among the given options.
Correct Answer is D
Explanation
In order for the teacher to better visualize the test performance for his class, he needs to present the mark distribution in chart form. A better chart visualizer is the histogram, which will show the frequency of marks against range of test scores. A bar graph will not be used because the rectangles need to touch one another.
In a bar graph, the rectangles do not touch each other. Therefore, it will not be a good chart visualizer.
Correct Answer is A
Explanation
We are required to find the doctor’s earning in 4 weeks after taking off taxes.
The first step is to find the total weekly deductions as follows:
Total weekly tax=federal income tax + state income tax + Social Security tax
Total weekly tax=$(85.00+40.00+81.00)
Total tax=$206.00
The next step is to find the weekly income after deducting total taxes
Weekly net income=gross income-total tax
Weekly net income=$(980.00-206.00)=$774.00
In one week, the net income of the doctor is $774.00 and after 4 weeks, the net income will be 4 times his weekly earning
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 D
Explanation
Before finding the area of the pizza, we need to find the radius of the pizza.
Find radius of the pizza in terms of diameter
Next, find area of the pizza using the radius of 6 inches
Substituting r=6 in the equation of the area of a circle
Thus, the pizza has an area of 36 π in2.
Correct Answer is C
Explanation
From the given data, we can draw the following triangle by letting the unknown length to be p.
We apply the Pythagoras theorem, the value of p:
The unknown length of the triangle is about 21.4 feet.
Correct Answer is D
Explanation
To solve the equation this equation, we compute the multiplication of the two numbers using the calculator
3.60 * 0.75 = 2.7
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