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A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

A. 5.33 mL

B. 0.507 mL

C. 7.43 mL

D. 12.325 mL

Answer Explanation:

We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.

Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

Cross-multiply to find the value of x

A recipe of 2.5 teaspoons equals 12.325 mL.

Therefore, the Correct Answer is D.

More Questions on TEAS 7 Math

  • Q #1: A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

    A. 5.33 mL

    B. 0.507 mL

    C. 7.43 mL

    D. 12.325 mL

    Answer Explanation

    We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.

    Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

    Cross-multiply to find the value of x

    A recipe of 2.5 teaspoons equals 12.325 mL.

  • Q #2: A teacher has asked all the students in the class which days of the week they get up after 8 a.m. which of the following is the best way to display the frequency for each day of the week?

    A. Histogram

    B. Pie graph

    C. Scatter plot

    D. Bar graph

    Answer Explanation

    The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.

    Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week. Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.

    As you can see below, the Histogram is used to depict a pattern/continuous/range data. While a bar graph does just fine even with discrete data.

  • Q #3: A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?

    A. 6 ¾ cups

    B. 5 5/8 cups

    C. 10 1/8 cups

    D. 4 ¾ cups

    Answer Explanation

    We are asked to find the number of cups of flour that will be used to make 90 cookies.

    Letting x be the number of cups of flour and setting the proportion equation with number of cookies on numerator and number of cups of flour on the denominator. We have

    Solve the value of x by cross-multiplying

    We convert the mixed fraction into improper fraction in order to carry out multiplication

    \(x =\ \frac{9}{4}\ cups\ *\ 90\ cookies\ *\ \frac{1}{36}\ cookies\)

     

    The number of cups of flour needed to make 90 cookies is 5.625 cups, which is equal to 5 5/8 cups(Choice B).