John’s uncle is twelve less than five times John’s age. Which of the equations represents John’s uncle’s age (u) as it relates to John’s age (k)?

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+8)

Area of the rectangle, A= Length*width=(w+8)*w

A=w(w+8)

Thus, the area of the rectangular room is w(w+8).

To determine the number of sophomore students, follow these steps:

1. Identify the total number of students:

1,276

1. Identify the percentage of sophomores:

29%

1. Calculate the number of sophomores:

(29%×1,276) = (29/100× 1,276) = 370.04

1. Round to the nearest whole number:

370

 we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

Thus, 3.9 L is 3900 mL.

we are asked to find the number of cups of flour that will be used to make 130 cookies.

First, we convert 3 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 64, the above equation result to

Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.

To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.

Let x be the number of cups of milk needed, then

The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If u=a, a>0, then u=a or u=-a

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.

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

Total test scores =80+68+74+87+96=405

Number of tests =5

Mean test score =405/5=81

The mean test score is 81.

To find the cheapest option, we find the expenditure on each given option.:

2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33

3 one 24-pack of Orange=3($9)=$27

2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31

5 packs of cream Soda=5($3)=$15

Spending 5 packs of cream soda is the cost-effective option.

We are asked to determine John’s uncle’s age relating to John’s age.

First, express John’s uncle’s age in terms of John’s age as follows

John’s age=k

John’s uncle’s age, u = 5k-12.

Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.

 In this problem, we need to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 6p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =5(2p)=10p

Now relating dimes to nickels, we have

Thus, there are 5 times as many dimes as quarters in the box.