**A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?**

$4.00

$6.00

$2.50

$3.00

*Correct Answer : D*

When solving percent problems, the following words and their meaning becomes handy.

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

If we let x represent the amount of tip the couple want to leave behind, then

So, the couple will leave a tip of $2.84, which is about $3.00

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Related Questions

### Correct Answer is B

#### Explanation

An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.

### Correct Answer is C

#### Explanation

We asked to convert kg to pounds. There are two ways of converting between kg and pounds

Â Â Â Â Â Â Â Â Â Â Â Â Â

And

Â Â Â Â Â Â Â Â Â Â Â Â Â

Since we are to find pounds, we use the second option for kg to cancel

Â Â Â Â Â Â Â Â

The pound equivalent of 45 kg is 99 lb.

### Correct Answer is D

#### Explanation

From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows

26+180*=*206

115+391*=*506

497+2024*=*2521

From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.

545+7501=8046

The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.

### 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

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.

### Correct Answer is A

#### Explanation

In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.

It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.

### Correct Answer is D

#### Explanation

correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.

A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.

The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.

Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.

### 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 D

#### Explanation

to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is

*3/**4***100%=75%*

Thus, 3/4is equal to 75%.

### Correct Answer is D

#### Explanation

When solving percent problems, the following words and their meaning becomes handy.

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

If we let x represent the amount of tip the couple want to leave behind, then

So, the couple will leave a tip of $2.84, which is about $3.00

### Correct Answer is D

#### Explanation

Before we compare the values of the options, we convert the decimals to fractions.

5.4 becomes 54/10

6.25 becomes 625/100

Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.

11/2*300=1650

54/10*300=1620

13/3*300=1300

625/100*300=1875

From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.

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