Simplify the expression. Which of the following is correct?
9
8
6
20
Correct Answer : C
We follow the order of operations to solve the given expression. The order of operations is PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)
First, we start with the numerator and solve it as follows
[3(6+5*4)]
We start with multiplication in parenthesis, 5*4=20. The expression becomes
[3(6+20)]
Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
The expression reduces into 6.
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Related Questions
Correct Answer is D
Explanation
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
Correct Answer is C
Explanation
To find the pounds equivalent of the kg given, we use the two options as given below.
OR
Since we want to remain with pounds, we use the second option and set up the equation below.
Thus, 65 kg is equal to 143 lb.
Correct Answer is D
Explanation
We are asked to find the number of students enrolled in the radiologic program using the information provided on the pie chart.
If we let x represent the number of students enrolled in the radiologic program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart adds to 100%, which equals 1200 students. Then, 21% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 252 students will enroll for a radiologic program.
Correct Answer is C
Explanation
The polling organization has an average ratio of 2 answered calls for every 15 attempted calls. To find the expected number of answered calls for 150 attempted calls, we can set up a proportion based on this ratio.
Step 1: Set up the proportion
The ratio of answered calls to attempted calls is:
=
Where x is the number of expected answered calls for 150 attempted calls.
Step 2: Solve for x
Cross-multiply to solve for x:
2×150=15×x
300=15x
X =
x = 20
Conclusion:
The expected number of answered calls for 150 attempted calls is 20 calls.
The correct answer is C. 20 calls.
Correct Answer is A
Explanation
Let the unknown length of the x. The resulting triangle is shown below.
We use the Pythagoras theorem as follows to find the unknown value of x as:
Â
Thus, the value of unknown side of the triangle is 21.8 feet.
Correct Answer is A
Explanation
we need to find the portion of pizza shared by other three friends.
Two friends eat half of the pizza, which is ½
And the remaining amount of pizza,Â
Now, the other three friends share ½ amongst themselves equally. Then, each friend gets
The other three friends each gets 1/6 of the pizza.
Correct Answer is A
Explanation
We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.
Monday’s stock price=$65.50
Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00
Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43
Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68
From the above evaluation, the stock price on Thursday was $66.68
Correct Answer is D
Explanation
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
Correct Answer is B
Explanation
Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.
Correct Answer is B
Explanation
The number of boxes is determined by volume of the room divided by volume of one box.
Number of boxes
Therefore, about 24 boxes can be stacked in the room.
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