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Morgarella [4.7K]
3 years ago
7

The neighborhood association sent a survey asking families to rank their concerns for the neighborhood. The four items listed we

re crime, recycling, speeding, and trash collection. In how many ways can a family answer this survey?
Mathematics
2 answers:
Verdich [7]3 years ago
6 0
There are four topics for the first answer, three topics for the second answer, two topics for the third and one topic for the fourth. The number of ways to answer is:4\times3\times2\times1=24\ ways
Kruka [31]3 years ago
3 0

Answer:

The answer is D. 40,320 ways

Step-by-step explanation:

You take the eight items listed and use factorial... 8!

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Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.
lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches

The area of the first enlargement is

18(12)=216\ in^2

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches

The area of the second enlargement is

54(36)=1,944\ in^2

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

[(3^2)]^2(24)=1,944\ in^2

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

3(216)=648\ in^2

so

648\ in^2 \neq 1,944\ in^2

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

\frac{216}{24}=9

8 0
2 years ago
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If two pieces of data were added to 2/8 how would the median of the line plot be affected
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7 0
3 years ago
Solve the proportion for the variable given <br> 4/6=9/x<br> a.10<br> b.6<br> c.1<br> d. 27/2
e-lub [12.9K]

Step-by-step explanation:

Option D is the correct answer because we will cross multiply

4/6 = 9/x

4x = 54

X = 27/2

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