**A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?**

$4.00

$6.00

$5.00

$7.00

*Correct Answer : B*

When dealing with percent problems, the following is utilized to find the unknown variable.

- Is means equals
- Of means multiply
- What means unknown (variable)

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

The gratuity is 15% of the total bill, which becomes

Here, of means multiply and we also convert percent into decimal before multiplying.

So, the value of t=5.76

Thus, a couple will leave a gratuity of $5.76, which is about $6.00.

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Related Questions

### Correct Answer is A

#### Explanation

from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows

24+190*=*214

151+319*=*470

974+1022*=*1996

From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.

452+5017=5469

We can approximate 5469 based on the provided choices to 5470.

### Correct Answer is C

#### Explanation

we need to find the net income of the nurse in 4 weeks from the weekly net income.

Weekly net income=gross income-total tax

Total tax=federal income tax+state income tax+Social Security tax

Total tax=$(83.00+38.00+79.00)

Total tax=$200.00

Weekly net income=$(800.00-200.00)=$600.00

In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:

The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.

### Correct Answer is C

#### Explanation

To find the true statement we need to analyze the given statements.

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. 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 true.

### Correct Answer is B

#### Explanation

in the given problem, we use the calculator to find 1.3*0.47=0.611

### Correct Answer is D

#### Explanation

a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.

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

: we are to find the selling price of the sweater after subtracting the mark off price.

Mark off value=mark off rate*original price

Mark of value=25%*$87

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Mark of value=0.25*$87=$21.75

The selling price of the sweater will be the original price less the mark off value. Then,

Thus, the approximate selling price of the sweater is $65.

### Correct Answer is B

#### 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

We want to end up with mL, we utilize the second conversion and set up the following equation.

Thus, 2.5 teaspoons can hold 12.325 mL.

### Correct Answer is C

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an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.

Therefore, **speed **is the independent variable while other variables are dependent.

### Correct Answer is D

#### Explanation

we use given information to find how much ammonia is need to make the specified solution.

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

*1 gallon of solution**6 oz of ammonia*

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Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

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### Correct Answer is C

#### Explanation

To solve this equation, we use a calculator and find the product as:

2.50*0.25=0.625

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