What is the least common denominator for the fractions below? (Round the answer to the nearest integer)
1/2, 2/3, 4/5
30
25
7
19
Correct Answer : A
We determine least common denominator (LCD) using prime factorization of denominators as follows
2=1*2
3=1*3
5=1*5
Thus, LCD of 2, 3, 5 = 2*3*5=30
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Correct Answer is A
Explanation
The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.
Convert 5 ¼ into improper faction as follows
So, the percent equivalent is:
Correct Answer is C
Explanation
To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.
Area of circle= πr2
Radius of circle, r=8cm/2=4cm
Then, area of the largest circle is:
Area of circle= π*4 cm *4 cm =16π cm2
Correct Answer is B
Explanation
Change in weight of client=new -old=1072-841= 231
Percent change=change/old*100%=231/841*100%=27.47%
The percentage change increase is about 27%
Correct Answer is C
Explanation
The decimal equivalent of the percentage is the percentage value divided by 100. Thus
87.5%=87.5/100=0.875
Correct Answer is B
Explanation
Independent is a variable that determines the outcome of the other variable. In this case, the credit hours determine how other three variables change. Thus, the number of credit hours is the independent variable.
Correct Answer is C
Explanation
To solve this problem, we need to find the mean, mode, and median of the above data set.
From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.
The mean of data is the total divided by the number of elements
Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80
Number of elements=16
Mean=80/16=5
Median will fall in between the (N/2)th and (N/2+1)th position
(N/2)th =16/2 =8th position and (16/2+1)th =9th position
Since the data is arranged in ascending order as below
1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
Element in 8th position = 3
Element in 9th position =7
So the median average of the two elements=(3+7)/2=5
Now the data could be presented as follows in the distribution curve
This is because the data set has two modes, meaning the data is bimodal.
Correct Answer is C
Explanation
From the given equation, the variable t is varied to obtain the value of f(t). This means that t is an independent variable, modified variable while f(t) is a dependent variable, a measured value.
Correct Answer is A
Explanation
Hire purchase cost=down payment + total monthly installment
Total monthly payment=hire purchase cost-down payment= $(1570-400)=$ 1170
Number of months=total monthly payment/monthly payment=$1170/$100=11.7 months
The consumer will clear the balance in 12 months.
Correct Answer is D
Explanation
Determine the number of blue and yellow gumballs as follows:
Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%
Number of blue gumballs35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]
Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]
Difference between the number of blue and yellow gumballs=42-6= 36 balls
Therefore, there are 36 more blue gumballs than yellow gumballs.
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