A recipe calls for 4 teaspoons of vanilla. 1 teaspoon equals approximately 4.98 mL. Which of the following is the correct amount of vanilla in mL?

We need to find the mL in 4 teaspoons from the given information.

If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:

Find the value of x by cross-products

Therefore, 4 teaspoons equal 19.92 mL.

we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.

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

Find the value of x by cross-products

Divide both sides of the equation by 100%

Thus, 171 students out of 900 students will enroll for a respiratory care program.

Explanation:

We need to find the mL in 6.5 teaspoons from the given information.

If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:

(frac{6.5}{x} = frac{1}{4.93})

Find the value of x by cross-products

6.5 * 4.93= x

32.05 = x

Therefore, 6.5 teaspoons equal 32.05mL.

Explanation

We are asked to find the number of cups of flour, which requires the concept of proportions.

If we let x to represent the number of cups of flour to make 16 cookies. Then

Solve the value of x by cross-multiplying

Convert the mixed fraction into improper fraction in order to carry out multiplication

The baker needs 26/15 cups of flour needed to make 16 cookies. This is equal to 1 11/15 cups.

We use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.

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

\(\frac{x}{21\%}\ =\ \frac{900}{100\%} \)

Find the value of x by cross-products

\(x\ *\ 100\%\ =\ 900\ students * 21\%\)

Divide both sides of the equation by 100%

\(x= \frac{900\ students\ *\ 21\%}{100\%}\ =\ 189\ students\)

Thus, 189 students out of 900 students will enroll for a respiratory care program.

Given:

• A plastic bucket containing 4/5 gallons of water is 3/4 full.

To find:

• How many gallons of water is in one fully filled bucket?

Let's use the proportion formula to solve this:

If 3/4 of the bucket is 4/5 gallons, then 1 full bucket (or 4/4 of the bucket) will contain how many gallons?

\(\frac{3}{4}\)ofthebucket =\(\frac{4}{5}\) gallons ​\(\frac{4}{3}\) ofthebucket =\(\frac{5}{4}\) gallons\(\frac{4}{4}\)ofthebucket=\(?\)gallons

\(\frac{4}{4}\)​ofthebucket = xgallons

Cross multiplying: x = \(\frac{4}{4}*\frac{4}{5}\ *\ \frac{4}{3}x = \frac{4}{5}*\frac{4}{3} = x\)

\(x\ =\ \frac{16}{15}\)

Thus, a fully filled bucket contains \(\frac{16}{15}\ =\ 1\frac{1}{15}\)​ gallons of water. Therefore, the correct choice is:

Choice A: 1 1/15