2(4x+3)=7x+5

Solve the equation above for x. Which of the following is correct?

A.

1
B.

2
C.

-1
D.

11


Correct Answer : C

we follow the order operations to solve for the unknown value of x.

2(4x+3)=7x+5

Open the bracket on the LHS by multiplying each term by 2

(2*4x)+(2*3)=7x+5

8x+6=7x+5

Subtract 6 from both sides

8x+6-6=7x+5-6

8x=7x-1

Subtract 7x on both sides

8x-7x=7x-7x-1

X=-1

Thus, the value of unknown value of x is -1.


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Correct Answer is B

Explanation

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Explanation

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From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:

In ratio form, girls: boys=15:13

Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.

Correct Answer is D

Explanation

Correlation of two variables falls into:

Positive correlation: an increase in one variable causes another variable to increase

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

Option a is no correlation

Option b is a negative correlation

Option c is a negative correlation

Option d is a positive correlation

Correct Answer is A

Explanation

The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula

Now, substituting the 49 π in2 in place of A in the equation above becomes:

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Correct Answer is D

Explanation

To form an equation from the word problem, first break the given statement into smaller statements.

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Length=3*width=3*x=3x

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Correct Answer is B

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Correct Answer is B

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From the problem above, we are looking for the amount of gratuity the couple can leave.

Let t be the amount of gratuity. Translating into an equation, we have

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Correct Answer is D

Explanation

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We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:

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Explanation

We need to find how many mL are in 2.5 teaspoons. We need to use dimensional analysis to solve this problem as follows.

Converting between teaspoon and mL uses the following conversions:

Or

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Correct Answer is C

Explanation

we follow the order operations to solve for the unknown value of x.

2(4x+3)=7x+5

Open the bracket on the LHS by multiplying each term by 2

(2*4x)+(2*3)=7x+5

8x+6=7x+5

Subtract 6 from both sides

8x+6-6=7x+5-6

8x=7x-1

Subtract 7x on both sides

8x-7x=7x-7x-1

X=-1

Thus, the value of unknown value of x is -1.

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