If x represents the width of a rectangle and length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?
2x-6
6-2x
6x-2
3x-4
Correct Answer : A
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is two times width. Mathematically, this means
Length=2*width=2*x=2x
Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =2x-6
Thus, the length of the rectangle is 2x-6.
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Explanation
The babies' measured weights change over time and depend on the time interval after birth. Since weight is the outcome being measured, it is the dependent variable in the study.
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Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
43÷
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5/7
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Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:
43/55*77000=60200
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Â
From the calculated values, it can be noted that 43/55 is the greatest value among the given options.
Â
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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.
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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


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Explanation
We follow the order operations to solve for the unknown value of x.
3(2x+5)=11x+5
Open the bracket on the LHS by multiplying each term by 3
(3*2x)+(3*5)=11x+5
6x+15=11x+5
Subtract 15 from both sides
6x+15-15=11x+5-15
6x=11x-10
Subtract 11x on both sides
6x-11x=11x-11x-10
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Divide both sides by -5
-5x/-5=-10/-5
x= 2
Thus, the value of unknown value of x is 2.
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