Question

the table shows the relationship between the number of brownies that fit into a given number of boxes from a bakery.

fill in the missing value in the table.
\

$$\begin{tabular}{|l|l|} \\hline boxes & brownies \\\\ \\hline 3 & 15 \\\\ \\hline 5 & \\\\ \\hline 8 & 40 \\\\ \\hline \\end{tabular}$$

if ms. mathis wanted to buy 115 brownies for her students how many boxes would she need to buy?

a recipe requires \\(\frac{1}{4}\\) of a cup of cranberries for 1 batch of scones. how many batches of scones can be made using \\(6\frac{1}{2}\\) cups of cranberries?

there are 15 classes in karams school. each class has an equal number of students. the total number of students in the school is 360. write an equation to represent the number of students, x, in each class.

what is the area of the shape below?

alexi recorded the numbers of items purchased by some people at a convenience store. the numbers of items are shown. how many items does the average shopper get?

6, 5, 4, 2, 3, 3, 1, 7, 2, 8, 7, 3, 4, 5, 5, 6

Explanation:

Find the unit rate of brownies per box

We find the ratio of brownies to boxes.

$$ \frac{15\text{ brownies}}{3\text{ boxes}} = 5\text{ brownies per box} $$

Fill in the missing table value

We multiply the number of boxes by the unit rate.

$$ 5\text{ boxes} \times 5\text{ brownies/box} = 25\text{ brownies} $$

Calculate boxes needed for 115 brownies

We divide the total brownies by the unit rate.

$$ \frac{115\text{ brownies}}{5\text{ brownies/box}} = 23\text{ boxes} $$

Calculate batches of scones

We divide the total cups of cranberries by the cups per batch.

$$ 6\frac{1}{2} \div \frac{1}{4} = \frac{13}{2} \times 4 = 26\text{ batches} $$

Write the classroom equation

We set up the equation representing the total students.

$$ 15x = 360 $$

Calculate the area of the trapezoid

We use the trapezoid area formula with bases \(6\text{ yd}\) and \(9\text{ yd}\), and height \(4\text{ yd}\).

$$ A = \frac{1}{2} \times (6 + 9) \times 4 = 30\text{ yd}^2 $$

Calculate the average items purchased

We sum the 16 values and divide by 16.

$$ \text{Sum} = 6+5+4+2+3+3+1+7+2+8+7+3+4+5+5+6 = 71 $$

$$ \text{Average} = \frac{71}{16} = 4.4375 $$

Answer:

Question 1

The missing value in the table is <blank>25</blank>.

Question 2

If Ms. Mathis wanted to buy 115 brownies, she would need to buy <blank>23</blank> boxes.

Question 3

The number of batches of scones that can be made is <blank>26</blank>.

Question 4

The equation representing the number of students is <blank>\(15x = 360\)</blank>.

Question 5

The area of the shape is <blank>30</blank> square yards.

Question 6

The average shopper gets <blank>4.4375</blank> items (or <blank>\(4\frac{7}{16}\)</blank> items).