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?

We follow the order of operations to solve the given expression.

First, we start with the numerator and solve it as follows

[2(3+5*3)]

We start with multiplication in inner brackets, 5*3=15. The expression becomes

[2(3+15)]

Then, we conduct the addition of 3+15=18. Then, the expression yields

[2(18)]=2*18=36

Now, we solve for denominator, which is 12/2=6.

Thus, the expression is reduced into

The expression reduces into 6.

To find the median, we arrange the following numbers in data set from the smallest to the largest as follows.

-3, -2, 0, 5, 10

From the above the data set, the median falls in the third position. Thus, 0 is the median for the given data set.

The number of boxes is determined by finding the volume of the room divided by the volume of the box.

Number of boxes

The approximate number of boxes that can be stored in the room is 92.

However, the room’s dimensions are 9 ft x 9 ft x 9 ft, and the boxes are 2 ft x 2 ft x 2 ft (unchangeable shape). To determine how many boxes fit along each dimension:

• In the 9 ft length, you can fit\(\frac{9}{2} = 4.5\ boxes\) which means only 4 whole boxes fit along this dimension.
• In the 9 ft width, you can fit 4 whole boxes.
• In the 9 ft height, you can fit 4 whole boxes.

Therefore, the total number of boxes that fit is:

\(4 \times 4 \times 4 = 64\ boxes\)

We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.

First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting 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.

Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.

Step 1: Determine the remaining balance

The total cost of the television is $1,570, and the consumer made a $400 down payment.

Remainingbalance=1,570−400=1,170

Step 2: Calculate the number of months

The consumer pays $100 per month, so:

Months=1,170/100=11.7

Since the consumer cannot make a fraction of a payment, they will need 12 months to fully pay off the television.

The mean of a data set is the total scores divided by the number of tests.

Total test scores =100+78+47+84+93+78=480

Number of tests =6

Mean test score =480/6=80

The mean test score is 80.

Centimeteris the appropriate unit to measure the length of a dollar bill.

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.

We are asked to find the Kwame’s uncle’s age in terms of Kwame’s age.

First, we need to find the age of Kwame, which is k. Then, we know that Kwame’s uncle’s age is three times that of Kwame less 17. Then,

Kwame’s uncle’s age, u = 3k-17.

Thus, the relation that relates Kwame’s uncle’s age to that of Kwame is u=3k-17.

We are asked to find the number of students enrolled in the respiratory care program using the percentages in the pie chart.

If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator. The whole pie chart represents 100%, which is 800 students. Then, 19% will represent

We solve the value of x by cross-multiplying the equation above.

So, 152 students will enroll for a respiratory care program.