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 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 A
Explanation
Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.
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 A
Explanation
Yoghurt: toppings=4:3
Yoghurt: 4.5 oz =4:3
We convert the given ratio into a proportion equation as below
Multiply both sides by 4.5 oz
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 B
Explanation
100% represents total students four allied health program. Thus, 100%=800 students, and 19% joins respiratory care program is
Thus, 152 students joined the respiratory care program.
Correct Answer is C
Explanation
Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem. (or use BODMAS)
P- Parenthesis
E-Exponents
D-Divide
M-Multiply
A-Add
S-Subtract
From the given equation start with solving :-
12 ÷3 * 4 - 1 + 23
Next, carry out division 12÷3=4
4*4-1+23
Multiply is 4*4=16
16-1+23
Add or subtract can be conducted in any order. From left to right, we subtract followed by addition
Subtract 16-1=15
15+23
The last step is to add 15+23
15+23=38
Thus, the answer to the given equation is 38.
Correct Answer is A
Explanation
Let two numbers be x and y. Then
Three time a number=3x
Eight times a different number = 8y
Sum of the two is 3x+8y
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.
Correct Answer is C
Explanation
The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.
Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.
As you can see below, the Histogram is used to depict a pattern/continuous/rangedata. While a bar graph does just fine even with discrete data.
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