An athlete runs 5 miles in 25 minutes and then changes their pace to run the next 3 miles in 15 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
7 minutes
5 minutes
6.5 minutes
8.5 minutes
Correct Answer : B
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.
Total distance=5+3=8 miles
Total time=25+15=40 minutes
We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:
In 5 minutes, the athlete runs 1 mile.
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Correct Answer is D
Explanation
The interconversion of yards to feet utilizes the relationship 1 yard =3 feet. Then, 9 yards to ft becomes
t
There, 9 yards is equal to 27 ft.
Correct Answer is D
Explanation
Let's calculate the number of each color of gumball:
- Red: 20% of 120 → 0.2×120=24
- Orange: 30% of 120 → 0.3×120=36
- Yellow: 5% of 120 → 0.05×120=6
- Green: 10% of 120 → 0.1×120=12
- Blue: The remaining percentage: 100%−(20%+30%+5%+10%) = 100%−65% =35%
- So, 0.35×120=42 blue gumballs.
Now, we find how many more blue gumballs there are than yellow:
42−6=36
Correct Answer is D
Explanation
From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows
26+180=206
115+391=506
497+2024=2521
From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.
545+7501=8046
The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.
Correct Answer is B
Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.
Total distance=5+3=8 miles
Total time=25+15=40 minutes
We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:
In 5 minutes, the athlete runs 1 mile.
Correct Answer is D
Explanation
We need to find the radius in order to find the area of the pizza.
Radius of pizza
The area of the pizza
But r=4.5
Thus, the area of the pizza is 20.25 in2.
NOTE: is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize.
Correct Answer is D
Explanation
to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is
3/4*100%=75%
Thus, 3/4is equal to 75%.
Correct Answer is A
Explanation
To solve the equation this equation, we use a calculator and find the product as:
3.45 * 0.53= 1.8285
Correct Answer is A
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
Correct Answer is B
Explanation
: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:
The fraction above reduces into
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Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
Correct Answer is D
Explanation
When solving percent problems, the following words and their meaning becomes handy.
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- Of means multiply
- What means unknown (variable)
If we let x represent the amount of tip the couple want to leave behind, then
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