Which of the following is the length of the unknown leg of a right triangle that has one leg length of 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)
16.7 feet
16.0 feet
17.4 feet
8.4 feet
Correct Answer : A
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: The unknown length of the triangle is about 16.7 feet.
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: 
The unknown length of the triangle is about 16.7 feet.
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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: Â
              
In 5 minutes, the athlete runs 1 mile.
Correct Answer is C
Explanation
from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:
      
Or
        
The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:
          
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 1380 oz of ammonia.
Correct Answer is A
Explanation
In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.

It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
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 B
Explanation
To solve this problem, first find the radius of the circle.

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 B
Explanation
An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.
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
                   
Â
In ratio form, girls: boys=13:11
Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
Correct Answer is A
Explanation
: In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 3


Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
Correct Answer is D
Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192=227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
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