Which of the following is the correct simplification of the expression below?
12 ÷ 3 * 4 - 1 + 23
6
21
38
23
Correct Answer : C
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.
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Correct Answer is C
Explanation
From the given equation, the variable t is varied to obtain the value of f(t). This means that t is an independent variable, modified variable while f(t) is a dependent variable, a measured value.
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:
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 C
Explanation
To solve this problem, we need to find the mean, mode, and median of the above data set.
From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.
The mean of data is the total divided by the number of elements
Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80
Number of elements=16
Mean=80/16=5
Median will fall in between the (N/2)th and (N/2+1)th position
(N/2)th =16/2 =8th position and (16/2+1)th =9th position
Since the data is arranged in ascending order as below
1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
Element in 8th position = 3
Element in 9th position =7
So the median average of the two elements=(3+7)/2=5
Now the data could be presented as follows in the distribution curve
This is because the data set has two modes, meaning the data is bimodal.
Correct Answer is D
Explanation
The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.
Correct Answer is B
Explanation
Independent is a variable that determines the outcome of the other variable. In this case, the credit hours determine how other three variables change. Thus, the number of credit hours is the independent variable.
Correct Answer is B
Explanation
We use the relation 1 kg=1000 g to convert 3.193 kg to g
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 D
Explanation
To compare the given values, convert them to the same number format. In this case, convert the given fractions into equivalent decimals.
10/3=3.3333…..
9/2=4.5
Thus, the numbers become 4.25, 3.333…, 4.4, 4.5
Now arranging them in ascending order becomes 3.333…., 4.25, 4.4, 4.5
From the above, 4.5 is the greatest value.
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