Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?

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

4.25 becomes 425/100

4.4 becomes 44/10

Then, we find the LCM for the denominators of the given fractions. The LCM of 2, 100, 3 and 10 is 300. Now we can multiply each fraction with the LCM.

9/2*300=1350

425/100*300=1275

10/3*300=1000

44/10*300=1320

Comparing the obtained values from above, 1350 is the greatest followed by 1320, 12750, and 1000 in that order. The fraction 9/2 gave a value of 1350, which was the greatest value. Thus, 9/2 is the greatest value from the given option.

You can also convert to decimals and compare which would give you the same answer.

We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.

Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication

The value of x is 110 lb.

We use the relation 1 L=1000 mL to convert 0.5 L to mL as follows.

Thus, 0.5 L is 500 mL.

By inspection, we find the corresponding values of the given denominations in the following manner.

To find the cost-effective option, we need to find how much the consumer will spend for the given options:

2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23

3 Packs of Orange will cost $18+$10=$28

2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29

5 packs of cream Soda will cost 5($5)=$25

From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

Percentages are fractions with denominator equal to 100. The given percent is divided by 100. To convert it to a decimal form, we move the decimal point two points to the left from the current position. Thus

The decimal form of 87.5% is 0.875.

We are being asked to find the amount of milk needed. This is a proportion problem, which compares the amount of flour to that of milk. Letting x represent the amount of milk required, we set up the proportion with flour on the numerator and amount of milk in denominator as follows:

Change the mixed fraction of 1 1/5 into improper fraction as follows

The proportion equation becomes

Cross-multiply to solve for x

As an mixed fraction, 36/5 becomes 7 1/5. Therefore, 7 1/5 cups of milk are needed to make a big batch of 2 cups.

7/25 is the same as 7÷25. The value becomes 0.28.

Thus, 0.28 is the decimal equivalent of 7/25.

A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.

We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

Add 10 to both sides of the equation

Next, we apply the absolute rule:

,   a>0, then u=a or u=-a

In this case a=12, which is greater 0. Then, the first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -1 or 2.