(x/y)-z=rw

Solve for x in the equation above.

Number of boxes in the room is equal to the volume of the room divided by the volume of one box

Volume of the room=9 ft*9 ft*9 ft= 729 ft3

Volume of one box = 2 ft* 2 ft * 2 ft= 8 ft3

Number of boxes= 729 ft3/ 8 ft3= 91.125 boxes

Thus, the room can store 91.125 boxes, which is about 91 boxes.

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. 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:

\(4×4×4=64\ boxes\)

The constant of proportionality is the distance traveled divided by gallons of gas consumed

Constant of proportionality = 386.4 miles/14 gallons = 27.6 miles per gallon.

First convert 31% to a decimal before working on the problem

31%=31/100=0.31

Thus, 31% of 426=0.31*426=132.06

To compare the given values, convert them to the same number format. In this case, convert the given fractions into equivalent decimals.

10/3=3.3333…..

9/2=4.5

Thus, the numbers become 4.25, 3.333…, 4.4, 4.5

Now arranging them in ascending order becomes 3.333…., 4.25, 4.4, 4.5

From the above, 4.5 is the greatest value.

We use the relation 1 kg=1000 g to convert 3.193 kg to g

Step 1: Find a common denominator

The least common denominator (LCD) of 6 and 3 is 6.

Convert 4/3​ to have denominator 6:

4/3=8/6

Step 2: Add the fractions

5/6+8/6=13/6​

Step 3: Convert to a mixed number

13/6 = 2 1/6

The best estimate is about 2 ½ cups.

The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.

The decimal equivalent of the percentage is the percentage value divided by 100. Thus

87.5%=87.5/100=0.875

From the given equation, the variable t is varied to obtain the value of f(t). This means that t is an independent variable, modified variable while f(t) is a dependent variable, a measured value.

In this case, we are measuring average weight of the babies with time. The weight of the babies will vary with time, meaning when we vary time, the average weight of the babies will be different. Here, time is independent while average weight is dependent variable.