**Which of the following is the best approximation of 6 times the positive square root of 42?**

60.3

44.7

30.0

38.9

*Correct Answer : D*

In this case, we use a calculator to estimate the positive square root of 42.** **

Then, multiplying the square root above with 6 becomes

Then, the approximate value of 6 time the positive square root of 42 is 38.9.

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Related Questions

### Correct Answer is A

#### Explanation

9/20 is the same as 9 divided by 20, which is evaluated 9*÷*20. The value becomes 0.45.

Thus, 9/20 is equal to 0.45.

### Correct Answer is A

#### Explanation

The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

Number of boxes:

\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

The approximate number of boxes that can be stored in the room is approximately 111 square feet.

### Correct Answer is C

#### Explanation

We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.

### Correct Answer is D

#### Explanation

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

*x **1 full tank**=**18**5** gallons**2**3**full tank*

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.

### Correct Answer is D

#### Explanation

We are asked to make z the subject of the formula.

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z isÂ Â .

### Correct Answer is D

#### Explanation

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as *cup of floor**cup of milk*. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.

### Correct Answer is B

#### Explanation

The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

-6, -4, 1, 8, 12

There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

### Correct Answer is D

#### Explanation

The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,

The minimum length of the ramp needed is **18 feet** to access to a door that is 1.5 feet above the sidewalk.

### Correct Answer is A

#### Explanation

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

IfÂ *Â *Â , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3

### Correct Answer is C

#### Explanation

To find the greatest number from the given set, we first convert the decimal numbers into fractions.

12.35 becomes 1235/100

11.46 becomes 1146/10

Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

25/2*300=3750

1235/100*300=3705

40/3*300=4000

1146/10*300=3438

From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.

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