Which of the following is the total number of whole boxes that measure 3 ft * 3 ft * 3 ft that can be stored in a room that measures 15 ft * 15 ft * 15 ft, if the size of the boxes cannot be altered?

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.

The final price of the stock on Thursday can be found by finding the price on the previous day taking into account the price changes as follows.

The price of the stock on Monday was $33.65

On Tuesday the price of the stock went up by $1.23 from Monday’s price. Then, Tuesday’s price was $(33.65+1.23)=$34.88

The price of the stock on Wednesday decreased by $0.97 from Tuesday’s price. The price on Wednesday became $(34.88-0.97)=$33.91

Thursday’s price increased by $2.75 from Wednesday’s price, which was $(33.91+2.75)=$36.66

Therefore, the final price of the stock on Thursday was $36.66.

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.

we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.

If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.

Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent

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

Therefore, 336 students will enroll for a nursing program.

 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.

The median of a data set is determined by arranging the numbers in ascending orders, and the median is the number the falls in the middle position.

-7, -4, 1, 3, 9

There are five numbers in the data set, and the median falls in the third position from either side. Thus, 1 fall in the third position.

To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 6 teaspoons equals 29.58 mL.

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

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

[3(2+6*4)]

We start with multiplication in inner brackets, 6*4=24. The expression becomes

[3(2+24)]

Then, we conduct the addition of 2+24=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

\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)

The expression reduces into 6.

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.

The probability of finding the probability of a yellow ball is given by

Total number of balls in the bag=2+3+7=12 balls

The probability of drawing a yellow ball from the bag is 7/12.