**A student performs the following estimations.**

**26+180210**

**115+391510**

**497+20242520**

**Based on these estimations, which of the following is the student’s estimate of 545+7501?**

8030

8060

8160

8050

*Correct Answer : D*

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.

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Related Questions

### Correct Answer is C

#### Explanation

In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:

- Is means equals
- Of means multiply
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If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:

So, the value of x=9.376 and to the nearest cent, x=9.38

There, a couple will leave a gratuity of $9.38.

### Correct Answer is A

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: 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.

Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:

* *

The fraction above reduces into

* *

In ratio form, girls: boys=13:11

Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.

### Correct Answer is C

#### Explanation

from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:

* *

Or

The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:

* *

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

Therefore, the solution will require 1380 oz of ammonia.

### Correct Answer is D

#### Explanation

We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:

* *

Or

Since we are looking for mL, we use the second option.

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### Correct Answer is B

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To solve this problem, first find the radius of the circle.

### Correct Answer is B

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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 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 A

#### Explanation

We convert the given word problem into a mathematical expression.

Let the number be x.

Thrice a number = 3x

Twelve less than thrice a number = 3x-12

Thus, the required mathematical expression is 3x-12

### Correct Answer is D

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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

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

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