A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)

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:

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.

The percentage change in weight is found in three steps below:

Absolute change in weight=final weight-initial weight

Absolute change in weight=(left|120-153 ight|=left|-33 ight|=33)

Relative change in weight=(frac{absolute change}{initial weight}=frac{33}{153}=0.216)

Percent change=relative change * 100%

Percent change=0.216*100%=21.6%

The percent change in weight lost is 21.6 %, which is about 22%.

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

Number of boxes

Therefore, about 24 boxes can be stacked in the room.

we need to find the portion of pizza shared by other three friends.

Two friends eat half of the pizza, which is ½

And the remaining amount of pizza, 

Now, the other three friends share ½ amongst themselves equally. Then, each friend gets

The other three friends each gets 1/6 of the pizza.

We follow the order of operations to solve the given expression. The order of operations is PEMDAS:

• Parentheses
• Exponents
• Multiplication and Division (in order from left to right)
• Addition and Subtraction (in order from left to right)

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

[3(6+5*4)]

We start with multiplication in parenthesis, 5*4=20. The expression becomes

[3(6+20)]

Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

The expression reduces into 6.

Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows

9 yards is equal to 822.96 cm, which is about 823 cm.

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

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

Japheth’s age=k

Japheth’s uncle’s age, u = 3k-10.

Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.

Percentages are fractions with denominator equal to 100. To convert a percent to decimal form, divide the value by 100.

The decimal form of 98.2% is 0.982.

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

6.98 becomes 698/100

9.2 becomes 92/10

The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:

3/7*700=300

698/100*700=4886

10/7*700=1000

92/10*700=6440

In order from the smallest to largest, we organize the number set as follows:

3/7, 10/7, 6.98, 9.2.

Thus, 9.2 is the greatest of all.