Which of the following is the correct conversion of 2 3/4 yards into inches?
33 inches
11 inches
75 inches
99 inches
Correct Answer : D
we use the US customary system of units’ equivalent to convert from yards to inches. We know that 1yard=3 ft, and 1 ft =12 inches.
First, convert 2 ¾ into an improper fraction.
Then,
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Related Questions
Correct Answer is A
Explanation
We are given that 1 teaspoon=4.93 mL, we can interpret it as:
Or
Since we are to find the amount in mL, we look for an option that will cancel teaspoon and remain with mL. The second option is the required conversion, and we proceed as follows:
Therefore, 2.5 teaspoons hold about 12.325 mL.
Correct Answer is C
Explanation
In this problem, to find one side of the square garden, we use the calculator to find the square root of 13. Thus
Thus, the approximate side of a square garden is about 3.6 ft
Correct Answer is B
Explanation
A dependent variable is one that when another variable changes, it also changes. In our case, the insurance premium changes if the age, model, mileage of car changes. Thus, insurance premium is the dependent variable while the other three are independent variable.
Correct Answer is A
Explanation
to solve for x, we order like terms together and proceed as follows:
4x-3-5x=24
Add 3 to both sides of the equation
4x-3+3-5x=24+3
4x+3-3-5x=27
4x-5x=27
-x=27
Divide both sides by -1
-x/-1=27/-1
x= -27
Thus, the unknown value of x is -27
Correct Answer is A
Explanation
all products represent 100%. Then, the portion of defect products is:
0.0025 of 100%
‘of’ means multiply
0.0025 *100%=0.25%
Correct Answer is B
Explanation
from the provided table, the first option represents the amount of gas in gallons while the second column shows the distance in miles. Thus, (6, 144) will denote that the car can 144 miles by consuming 6 gallons of a gas.
Correct Answer is D
Explanation
We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.
The car uses 1 gallon to cover 25 miles, which is same as:
Now, in 3000 miles, the car will use how many gallons of gasoline?
A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:
The family will spend $199.20 to drive for 3000 miles.
Correct Answer is D
Explanation
The mean is the total divided by the number of elements in the data set. From the given data set:
Total=30+29+28+30+24+12+26+33+25+23=260
Number of items, N=10
Mean=total/N=260/10=26
The mean is 26.
Correct Answer is D
Explanation
Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then
74%+3%+2%+x=100%
79%+x=100%
Subtract 79% from both sides of the equation
79%-79%+x=100%
x=100%-79%
x=21%
So, the number of graduates working for jobs unrelated to law is 21%.
Correct Answer is A
Explanation
We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,
9/2*300=1350
10/3*300=1000
44/10*300=1320
425/10*300=1275
From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.
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