You choose between red or yellow wallpaper, and orange, red, green, blue, or purple carpet. Use the fundamental counting principle to find the total number of possible outcomes when you select one color of wallpaper and one color of carpet. *
7
5
10
12

Answer:

C. 10

Step-by-step explanation:

There are 5 choices of carpet, and 2 choices of wallpaper. This means that there are only 10 possible outcomes.

The total number of possible outcomes when you select one color of wallpaper and one color of carpet is,

⇒ 10

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

You choose between red or yellow wallpaper,

And, orange, red, green, blue, or purple carpet.

Since, There are 2 wallpapers.

And, There are 5 carpets.

Hence, The total number of possible outcomes when you select one color of wallpaper and one color of carpet is,

⇒ ²C₁ × ⁵C₁

⇒ 2 × 5

⇒ 10

Thus, The total number of possible outcomes when you select one color of wallpaper and one color of carpet is, 10

Learn more about the combination visit:

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Find the missing angle.

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Line segment CD has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment C′D′. What is the length of C′D′? (4 points)

1 unit
2 units
3 units
5 units
2.
(02.01)

The figure shows a pair of parallel line segments on a coordinate grid:

A coordinate plane is shown. Line segment GH runs from -1 comma negative 1 to 3 comma negative 1. Line segment EF runs from negative 1 comma -2 to 3 comma negative 2.
The line segments are translated 2 units to the right to form E′F′ and G′H′. Which statement describes E′F′ and G′H′? (4 points)

Line segments E′F′ and G′H′ do not intersect and are closer together than EF and GH.
Line segments E′F′ and G′H′ intersect at (−2, 0) and are two times farther apart than EF and GH.
Line segments E′F′ and G′H′ intersect at (0, −2) and are two times closer together than EF and GH.
Line segments E′F′ and G′H′ do not intersect and are the same distance apart as EF and GH.
3.
(02.01)

Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, what is the measure of angle M′? (4 points)

40 degrees
45 degrees
50 degrees
130 degrees
4.
(02.01)

Which translation will change figure ABCD to figure A primeB′C′D′? (4 points)

A coordinate plane is shown. Figure ABCD is composed of coordinates A, 1 comma negative 3, B, 1 comma negative 1, C, 3 comma 1, and D, 3 comma negative 3. Figure A prime, B prime, C prime, and D prime is composed of coordinates A prime, negative 1 comma 1, B prime, negative 1 comma 3, C prime, 1 comma 5 and D prime, 1 comma 1.
2 units left and 4 units up
2 units left and 4 units down
2 units right and 2 units down
4 units left and 4 units up
5.
(02.01)

The figure shows Triangle ABC and some of its transformed images on a coordinate grid:

A coordinate plane is shown. Triangle ABC includes points negative 10 comma 2, negative 7 comma 5, and negative 7 comma 3. Triangle 1 has endpoints negative 6 comma 3, negative 6 comma 5, and negative 3 comma 2. Triangle 2 has endpoints 2 comma 3, 2 comma 5, and 5 comma 2. Triangle 3 has endpoints negative 9 comma negative 1, negative 7 comma negative 1 and negative 5 comma negative 4. Triangle 4 has endpoints negative 1 comma 1, negative 1 comma negative 1, and negative 4 comma negative 2.
Which of the four triangles was formed by a translation of Triangle ABC? (4 points)

1
2
3
4

The scatter plot below shows a plant’s height over time. Based on the graph, what is the best prediction for the plant’s height after 10 weeks?
A. 5 inches
B. 5.8 inches
C. 6 inches
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At his favorite restaurant, Dylan orders a soda with his dinner. The ice in his drink has a mass of 6 g and a volume of 20 cm3. What is the density of the ice? Explain the steps you took to solve this problem.

Camille buys a cake for $\$24.99$ . She also buys $12$ brownies. Each brownie costs the same amount. She spends $\$39.99$ on the cake and the brownies.

Camille finds the cost of each brownie by calculating $(39.99\ -\ 24.99)\ \div\ 12$ . Tanya finds the cost of each brownie by solving the equation $39.99\ +\ 12b\ =\ 24.99$ , where $b$ is the cost of each brownie.

Which approach uses the sequence of operations necessary to find the cost of each brownie: Camille’s, Tanya’s, both, or neither? Explain why.

Respond in the space provided.

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Which sets contain one or more outliers? Check all that apply.
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Two numerical patterns are shown below:

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Pattern B: 8, 16, 24, 32, 40

Select the statement that describes the numerical patterns.

A) The terms in Pattern B are one half the value of the corresponding terms in Pattern A.
B) The terms in Pattern A are one half the value of the corresponding terms in Pattern B.
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a.0
b.1
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d.-1

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