Twelve less than thrice a number
Which of the following translates the phrase above into a mathematical expression?
3x - 12
12 - 3x
12x - 2
3x + 12
Correct Answer : A
We need to form a mathematical expression from the given word problem.
Let the unknown number be x.
Thrice a number is three times = 3x
Twelve less than thrice a number = 3x-12
Thus, the mathematical expression from the word problem is 3x-12
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Explanation
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3(x-2)=15
Divide both sides of the equation by 3


Add 2 to both sides of the equation


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Correct Answer is A
Explanation
The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.

Solve for value of p by cross products

Multiply both sides by 3/2 a reciprocal of 2/3


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Explanation
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3.60 * 0.75 = 2.7
Correct Answer is A
Explanation
We need to form a mathematical expression from the given word problem.
Let the unknown number be x.
Thrice a number is three times = 3x
Twelve less than thrice a number = 3x-12
Thus, the mathematical expression from the word problem is 3x-12
Correct Answer is A
Explanation
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Explanation
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Correct Answer is D
Explanation
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Correct Answer is D
Explanation
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First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means
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Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =3x-4
This is the required equation.
Correct Answer is C
Explanation
Let x be the original price of the recliner.
Step 1: Apply the 30% discount
The recliner is on sale for 30% less than the original price:
SalePrice=x−0.3x=0.7x
Step 2: Apply the 25% coupon discount
The consumer gets an additional 25% off the sale price:
FinalPrice=0.7x−0.25(0.7x) = 0.525x
Step 3: Solve for x
The consumer paid $237, so:
0.525x=237
​ x≈451.43x
Rounding to the nearest dollar, the original price is $451.
Correct Answer is D
Explanation
Scatter plots can depict three correlations: positive, negative and no correlation. A positive correlation scatter plot reveals that as one variable increases, the other variable also increases as shown below

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