**A child has collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters. Which of the following charts accurately organizes the number of coins?**

A

B

C

D

*Correct Answer : A*

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.

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Related Questions

### 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 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:

*Â Â Â Â Â Â *

Or

Â Â Â Â Â

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

Â Â Â Â Â

Thus, 5.5 teaspoons can hold approximately 27 mL.

### Correct Answer is D

#### Explanation

The interconversion of yards to feet utilizes the relationship 1 yard =3 feet. Then, 9 yards to ft becomes

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **t*

There, 9 yards is equal to 27 ft.

### Correct Answer is C

#### Explanation

We know that 1 L =1000 mL, which we use to convert between the two units. The conversion fractions of interconverting are:

And

Since we want to end up with millimeters, the second conversion is used in converting L to mL as:

Thus, 3.2 L is equivalent to 3200 mL.

### Correct Answer is D

#### Explanation

The net income is the salary of the teacher gets after deducting total taxes.

Weekly net income=weekly gross income-total tax

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

Total tax=$(72.00+35.00+65.00)

Total tax=$172.00

Weekly net income=$(730.00-172.00)=$558.00

The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4

* *

The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.

### 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 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 B

#### Explanation

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

### 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
- What means unknown (variable)

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

#### Explanation

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

3.45 * 0.53= 1.8285

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