**Simplify the expression below. Which of the following is correct?**

**3.45 * 0.53**

1.8285

18.285

0.18285

182.85

*Correct Answer : A*

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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Related Questions

### Correct Answer is B

#### Explanation

Histograms are used to present frequency of data of one variable over the other. On the other hand, a bar graph is used to compare the two variables with the rectangles not touching one another as in histograms. Scatter plots are used to show the correlations between two variables. In this case, the teacher will be able to use scatter plot to establish the correlation between test scores and the subjects.

### 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

### 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:

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

The fraction above reduces into

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

Â

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 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 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, Â¾ 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

Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows

35+192*=*227

258+350*=*608

947+1032*=*1979

From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.

694+7618=8312

We can approximate 8312 based on the provided choices is 8310.

### 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

*Â Â Â Â Â *

But r=4.5

*Â *

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

NOTE:Â Â 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.

### 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

#### 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%.

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