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Question 1

A)
Hassem and his family cut an apple pie into 6 equal slices and a blueberry pie into 12 equal slices. They ate 56
of the apple pie. If they ate the same fraction of the blueberry pie, how many slices of the blueberry pie did they eat?



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(1 point)
Responses

9 slices
9 slices

12 slices
12 slices

10 slices
10 slices

5 slices
5 slices
Question 2
A)
Select the two fractions that are equivalent to 35
.



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(2 points)
Responses

2135
21 over 35

512
5 over 12

1525
15 over 25

310
3 tenths
Question 3
A)
A company makes four different types of candles. The ratio of fragrance to wax for each type of candle is shown in the tables below.

Which type of candle has the smallest ratio of fragrance to wax?



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(1 point)
Responses

Type 1
Type 1

Type 2
Type 2

Type 3
Type 3

Type 4
Type 4
Question 4
A)
To show the relationship between the serving size and the number of pounds of meat needed for a lasagna recipe, a catering company uses the chart below.

Serving Size Pounds of Meat
30 2
75 6
120 8
180 12
The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes. For which serving size is the ratio of size to pounds of meat different from the other ratios?

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(1 point)
Responses

180 servings
180 servings

75 servings
75 servings

120 servings
120 servings

30 servings
30 servings
Question 5
A)
For which table would 80 be the missing value of x
?

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(1 point)
Responses

Question 6
A)
The chart below shows conversion between kilometers and miles.

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(2 points)
Kilometers Miles
2 1.2
7 4.2
10
44
What are the missing values in the table?

Question 7
A)
At McCord Middle School, 300 students rode their bike or walked to school. This is 60% of the total student body. How many students attend McCord Middle School?

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(1 point)
Responses

360 students
360 students

180 students
180 students

18,000 students
18,000 students

500 students
500 students
Question 8
A)
The school band sold T-shirts to raise money for an upcoming trip. It sold 150 shirts, which was 30% of the total sales on Sunday. How many T-shirts did the band sell in all? Select the two true statements.

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(2 points)
Responses

The total sales will be greater than 150 shirts.
The total sales will be greater than 150 shirts.

The total sales will be less than 150 shirts.
The total sales will be less than 150 shirts.

The band sold 500 shirts.
The band sold 500 shirts.

The band sold 180 shirts.
The band sold 180 shirts.
Question 9
A)Glass plates are packaged and shipped to a retail store, but 20% of all the shipped plates arrive broken. In the last shipment, 145 arrive broken. How many plates were shipped in total?(1 point)
$$ plates



NOTE: Type your numerical answer into the box for the question to be scored correctly.

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Question 10
A)
One mile has 5,280 feet. Complete the table with the correct values.

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(3 points)
Miles Feet
1 5,280

21,120
6

36,960


Question 11
A)
Venita is sewing new curtains. The table below shows the relationship between the number of stitches in a row and the length of the row.

Number of Stitches Length (cm)
7 1
21 3
28 4
42 6
What is the relationship between the number of stitches and the length?

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(1 point)
Responses

The number of stitches is 17
times the length.
The number of stitches is 1 seventh times the length.

The number of stitches is 7 times the length.
The number of stitches is 7 times the length.

The number of stitches is 3 times the length.
The number of stitches is 3 times the length.

The number of stitches is 13
times the length.
The number of stitches is 1 third times the length.
Question 12
A)The table below shows the different combinations of honey and oats that can be used in making granola.(2 points)
Honey (tbsp) Oats (cups)
Row 1 8 2
Row 2 16 3
Row 3 24 6
Row 4 32 8
On which row does the honey to oats ratio not fit the pattern?

If the amount of honey is correct, you would need
cups of oats to make this ratio fit the pattern.



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Question 13
A)
Which statement describes whether the shaded portions of the diagrams represent equivalent fractions?



(1 point)
Responses

The fractions are equivalent. Both diagrams are equal to 25
.
The fractions are equivalent. Both diagrams are equal to 2 fifths.

The fractions are not equivalent. The top diagram represents 25
, and the bottom diagram represents 12
.
The fractions are not equivalent. The top diagram represents 2 fifths, and the bottom diagram represents 1 half.

The fractions are equivalent. Both diagrams are equal to 12
.
The fractions are equivalent. Both diagrams are equal to 1 half.

The fractions are not equivalent. The top diagram represents 12
, and the bottom diagram represents 25
.
The fractions are not equivalent. The top diagram represents 1 half, and the bottom diagram represents 2 fifths.

1 answer

Let's tackle each question step by step.

Question 1

A) They ate \(\frac{5}{6}\) of the apple pie. To find out how many slices of the blueberry pie they ate, we set up the same fraction, which is also \(\frac{5}{6}\) of 12 slices.

Calculation: \[ \text{Slices eaten from blueberry pie} = \left(\frac{5}{6} \times 12\right) = 10 \text{ slices} \]

Response: 10 slices

Question 2

A) We need to find the fractions equivalent to \(\frac{3}{5}\).

Calculating equivalent fractions:

  • \(\frac{21}{35} = \frac{3 \times 7}{5 \times 7}\) (equivalent)
  • \(\frac{5}{12}\) is not equivalent.
  • \(\frac{15}{25} = \frac{3 \times 5}{5 \times 5}\) (equivalent)
  • \(\frac{3}{10}\) is not equivalent.

Responses: \(21/35\) and \(15/25\)

Question 3

To find the type of candle with the smallest ratio of fragrance to wax, we need more information about the ratios in the table, which is not provided. Please double-check to provide the ratios.

Question 4

We need to calculate the pounds of meat per serving size to find which serving size has a different ratio.

  • For 30 servings: \(2 \text{ lbs} / 30 = \frac{1}{15}\)
  • For 75 servings: \(6 \text{ lbs} / 75 = \frac{2}{25}\)
  • For 120 servings: \(8 \text{ lbs} / 120 = \frac{1}{15}\)
  • For 180 servings: \(12 \text{ lbs} / 180 = \frac{1}{15}\)

The serving size of 75 servings has a different ratio (\(\frac{2}{25}\)).

Response: 75 servings

Question 5

Please provide the tables mentioned, as the question is incomplete without the data tables.

Question 6

Kilometers to miles conversion requires formulas or tables. Given the missing values in the table isn't provided here, please check for additional data.

Question 7

A) Set up the equation: \[ 0.6x = 300 \implies x = \frac{300}{0.6} = 500 \]

Response: 500 students

Question 8

If 150 shirts is 30%, calculate the total sales: \[ \text{Total sales} = \frac{150}{0.3} = 500 \text{ shirts} \]

Responses: The total sales will be greater than 150 shirts. and The band sold 500 shirts.

Question 9

Let \(x\) be the total number of plates shipped. Since 20% are broken: \[ 0.2x = 145 \implies x = \frac{145}{0.2} = 725 \]

Response: 725 plates

Question 10

Completing the table with conversions:

  • 1 mile = 5280 feet.
  • For 2 miles: \(2 \times 5280 = 10560\)
  • For 6 miles: \(6 \times 5280 = 31680\)
  • For 7 miles: \(7 \times 5280 = 36960\)

Complete table values:

  • 2 miles = 10560 feet.
  • 6 miles = 31680 feet.
  • 36 miles = 190080 feet.

Question 11

To find the relationship: Calculate the ratio of stitches to length:

  • For 7 stitches: \( \frac{7}{1} = 7\)
  • For 21 stitches: \( \frac{21}{3} = 7\)
  • For 28 stitches: \( \frac{28}{4} = 7\)
  • For 42 stitches: \( \frac{42}{6} = 7\)

Thus, the relationship is: The number of stitches is 7 times the length.

Question 12

The ratio of honey to oats needs to be checked.

  • Row 1: 8/2 = 4 (4 tbsp honey per 1 cup oats)
  • Row 2: 16/3 = 5.33 (not fitting)
  • Row 3: 24/6 = 4 (4 tbsp honey per 1 cup oats)
  • Row 4: 32/8 = 4 (4 tbsp honey per 1 cup oats)

The irregular ratio is Row 2.

If the honey amount is correct, you would need \(5.33 \text{ cups of oats}\).

Question 13

To determine if the fractions are equivalent, check the areas of shaded parts in each diagram shown. Identify the numerical values for the equivalent fractions as needed.

Please provide the missing information from Questions 3, 5, 6, 12, and 13 for full assistance.