**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 A

#### Explanation

: In order to solve for the value of x, we use the order of operations as follows:

The first step is to divide both sides by 3

Add 2 to both sides to eliminate it from the left-hand side of the equation

**x-2+2=4+2**

**x = 6**

Thus, the value of x is 6.

### 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 D

#### Explanation

: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,

One friend=1/4 of 1=1/4*1=1/4

Remaining amount=1-1/4=4/4-1/4=3/4

Thus, ¾ of burger is left for two friends to share among themselves. Then, each friend will get

So, the other two friends will each get 3/8 of the burger.

### 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

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 are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.

43*÷*55=43/55

5/7

0.729=729/1000

73%=73/100

Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:

43/55*77000=60200

5/7*77000=55000

729/1000*77000=56133

73/100*77000=56210

From the calculated values, it can be noted that 43/55 is the greatest value among the given options.

### 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.

Thus, 5.5 teaspoons can hold approximately 27 mL.

### 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 C

#### Explanation

**Explanation**: We know that 1 L=1000 mL and to change between L and mL we use the following two options

### Correct Answer is D

#### Explanation

We need to find the radius in order to find the area of the pizza.

Radius of pizza

The area of the pizza

* *

But r=4.5

* *

Thus, the area of the pizza is 20.25* * in2.

NOTE: is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize.

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