Which of the following is the decimal equivalent of 15/27? (Round your answer to 2 decimal places).

Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.

Thus, 0.56 is the decimal equivalent of 15/27.

The polling organization has an average ratio of 2 answered calls for every 15 attempted calls. To find the expected number of answered calls for 150 attempted calls, we can set up a proportion based on this ratio.

Step 1: Set up the proportion

The ratio of answered calls to attempted calls is:

=

Where x is the number of expected answered calls for 150 attempted calls.

Step 2: Solve for x

Cross-multiply to solve for x:

2×150=15×x

300=15x

X =

x = 20

Conclusion:

The expected number of answered calls for 150 attempted calls is 20 calls.

The correct answer is C. 20 calls.

To convert millilitres (mL) to litres (L), we use the fact that:

1 L=1000 mL

So, to convert 2,500 mL to litres:

=2.5 L

Thus, the patient needs 2.5 litres of saline.

The correct answer is C. 2.5 L.

We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169π in place of area

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:

Before finding the greatest number from the data set, the numbers need to be in fraction form.

-0.5=-5/10

-1.5=-15/10

The set of numbers becomes -2/3, -5/10, -15/10, -4/9

Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:

-2/3*90=-60

-5/10*90=-45

-15/10*90=-135

-4/9*90=-40

From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.

The number of cups of milk to make a bigger batch, we proceed as follows:

First convert the mixed number 1 2/5 as

Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator

Find the value of x by cross-products

2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.

Per means division. The above equation becomes

When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus

The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})

Cross-multiply to find the value of x.

(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})

(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)

(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)

Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.

C organizes the collection correctly.

The volume V of a rectangular box can be calculated using the formula:

V=length×width×height

Given:

• Length = 8 metres
• Width = 5 metres
• Height = 3 metres

Now, calculate the volume:

V=8 m×5 m×3 m=120 m3

Thus, the volume of the box is 120 cubic metres.

The correct answer is B. 120 m³.

A. A=w(2w+1)

Explanation

The area of a rectangle is given by the formula:

A=length×width

Given that the length is one more than twice the width, we can express it as:

Length=2w+1

The width is simply w.

Now, substituting these into the area formula:

A=w(2w+1)

Thus, the correct answer is:

A=w(2w+1)