3(x-2)=12
Solve the equation above for x. Which of the following is the correct answer?
6
-2
-4
2
Correct Answer : A
: 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
Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
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Explanation
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Correct Answer is A
Explanation
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
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Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
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Thus, the length of the rectangle is 2x-6.
Correct Answer is D
Explanation
Let's calculate the number of each color of gumball:
- Red: 20% of 120 → 0.2×120=24
- Orange: 30% of 120 → 0.3×120=36
- Yellow: 5% of 120 → 0.05×120=6
- Green: 10% of 120 → 0.1×120=12
- Blue: The remaining percentage: 100%−(20%+30%+5%+10%) = 100%−65% =35%
- So, 0.35×120=42 blue gumballs.
Now, we find how many more blue gumballs there are than yellow:
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Correct Answer is C
Explanation
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When solving percent problems, the following words and their meaning becomes handy.
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If we let x represent the amount of tip the couple want to leave behind, then
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Correct Answer is B
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
-5x=-10
Divide both sides by -5
-5x/-5=-10/-5
x= 2
Thus, the value of unknown value of x is 2.
Correct Answer is D
Explanation
to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is
3/4*100%=75%
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Correct Answer is D
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.
Correct Answer is D
Explanation
The net income is the salary of the teacher gets after deducting total taxes.
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Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(72.00+35.00+65.00)
Total tax=$172.00
Weekly net income=$(730.00-172.00)=$558.00
The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4
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Explanation
: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,
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Thus, ¾ of burger is left for two friends to share among themselves. Then, each friend will get
So, the other two friends will each get 3/8 of the burger.
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