3(2x+5)=11x+5
Solve the equation above for x. Which of the following is correct?
1
2
-1
-2
Correct Answer : B
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.
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Correct Answer is A
Explanation
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3.45 * 0.53= 1.8285
Correct Answer is D
Explanation
Looking at the give curve, we analyze each statement as:
- For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
- For statement 2: the lowest points scored per game was in 1998-99 season and not in 2003-04 season. So, the statement is false.
- For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is false.
- For statement 4: the two season which no change in the points were 2012-13 and 2013-14. So this is true according to given curve.
Correct Answer is A
Explanation
: We need to find the total rainfall for the months of May, June, and July using the given graph.
In the month of May, rainfall is between 3 and 4, which is halfway. Therefore, rainfall in May is 3.5 inches
On June, rainfall was 3 inch and on July the rainfall was 2.5 inches. Thus,
Total rainfall=3.5 inches+3 inches+ 2.5 inches=9.0 inches
Correct Answer is B
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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                     Â
The fraction above reduces into
                  Â
Â
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Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
Correct Answer is A
Explanation
Correlation of two variables falls into:
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Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
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Option b is a negative correlation
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Option d is a positive correlation
Thus, the correct statement is a.
Correct Answer is D
Explanation
: the question requires we find the cost of four syringes.
If we let x be the cost of four syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides of the equation by 55
Thus, the cost of 4 syringes is $48.
Correct Answer is C
Explanation
The best way to visualize the student’s score for each subject is to plot them using a bar graph.
Correct Answer is C
Explanation
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            Â
And
            Â
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       Â
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Correct Answer is C
Explanation
We know that 1 L =1000 mL, which we use to convert between the two units. The conversion fractions of interconverting are:
And
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Correct Answer is B
Explanation
 we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as
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Convert 15% into a fraction, which become 15/100=0.15. Then
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The selling price of the sweater will be the original price less the discount or mark off value. Then,
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