A sport utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant proportionality of miles per gallon?
372.4
13.8
27.6
5,409.6
Correct Answer : C
The constant of proportionality is the distance traveled divided by gallons of gas consumed
Constant of proportionality = 386.4 miles/14 gallons = 27.6 miles per gallon.
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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 B
Explanation
First convert 31% to a decimal before working on the problem
31%=31/100=0.31
Thus, 31% of 426=0.31*426=132.06
Correct Answer is B
Explanation
Organize the date set from the smallest to the largest as:
-3, -2, 0, 5, 10
Median means one that is at the middle, and from the above-given data set, 0 falls at the middle.
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
A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:
People who play baseball more tend to have more hits is POSITIVE CORRELATION
Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION
Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION
Cars that are older tend to have higher mileage is a POSITIVE CORRELATION
Correct Answer is B
Explanation
We use the relation 1 kg=1000 g to convert 3.193 kg to g
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
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
Given:
- Original price of the recliner: P
- Sale price (30% less than the original price): 0.7P
- Coupon saves an additional 25% off the sale price: 0.75 *0.7P = 0.525P
- The consumer pays $237 for the recliner.
We set up the equation:
0.525P = 237
Now, let's solve for P:
P = 237 / 0.525}
P = 451.428
Rounded to the nearest dollar, the original price of the recliner is approximately 451dollars.
Correct Answer is C
Explanation
Use the relation 1 teaspoon=4.93 mL to change 2.5 teaspoons to mL. Using the dimension analysis, the amount in mL is found as:
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