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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Explanation
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Now let’s analyze the given scenarios:
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Explanation
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Explanation
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Explanation
Let width of the rectangle be W. We are told that length, L is 3 units greater than width. Then,
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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.
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