Which of the following is the appropriate unit of a measure to express the weight of a sheet of paper?

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.

This problem asks us to compare the number of dimes to nickels.

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

Number of quarters in the bottle = 4p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =7(2p)=14p

To find the number of dimes the child has than nickels, we use the ratio:

\(\frac{Dimes}{nickels} =\frac {14p}{2p}\ =\ 7\)

Thus, there are 7times as many dimes as nickels in the box.

A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.

To simplify this expression, we follow the order of operations as follows:

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

[2(6+3*9)]

We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes

[2(6+27)]

Then, we carry out the addition of 6+27=33. Then, the expression yields

[2(33)]=2*33=66

Now, we solve for denominator, which is 6/2=3.

Thus, the expression is reduced into

The expression reduces into 22.

The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

Number of boxes:

\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

The approximate number of boxes that can be stored in the room is approximately 111 square feet.

we need to find the price of the stock on Thursday.

First, find the price changes in each day of the week as follows:

Monday’s price was $45.32

Tuesday’s price went up by $3.25 from Monday’s price. The price was $(45.32+3.25)=$48.57

Wednesday’s price decreased by $1.73 from Tuesday’s price, and so the price of the stock was $(48.57-1.73)=$46.84

Thursday’s price increased by $0.89 from Wednesday’s price, which was $(46.84+0.89)=$47.73

Therefore, the stock price on Thursday was $47.73.

we are to use the pie chart to find the number of students enrolled in dental hygiene care.

Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

We solve the value of x by cross-products.

Therefore, 144 students will enroll for a dental hygiene program.

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.