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
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 A
Explanation
We analyze the given statement with the graph given as follows:
For option a: the points per game decreased five times between 1996 and 2015. So, the statement is true.
For option b: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For option c: 2008-09 was the season the chargers scored the greatest number of points per game and not 2002-03 as claimed in the statement. So, this statement is not true.
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 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 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
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 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 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 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 D
Explanation
Scatter plots can depict three correlations: positive, negative and no correlation. A positive correlation scatter plot reveals that as one variable increases, the other variable also increases as shown below
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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