Which of the following is an example of the Distributive Property?

The sum of two numbers is negative fifteen, and one number is five less than the other. Using the variables m and n to represent

Likurg_2 [28]

We need to use the variables m and n to represent both numbers.

Their sum must equal -15. Therefore, we can write the next equation:

m + n = -15

If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:

n = m-5

To find the value for each number, we can replace the n equation on the first equation:

m + n = -15

m + (m-5)= -15

Then:

m + m - 5 = -15

2m -5 = -15

Solve the equation for m:

Add both sides 5 units:

2m - 5 +5 = -15+5

2m = -10

Divide both sides by 2:

2m/2 = -10/2

m = -5

Finally, replace the m value on the first equation:

m + n = -15

-5 + n = -15

Then, solve the equation for n:

Add both sides by 5:

-5+5 + n = -15 +5

n = -10

Hence, both numbers are m=-5 and n= -10.

The equations separated by a comma are m + n = -15,n = m-5.

The numbers separated by a comma are -5,-10.

6 0

1 year ago

Tricia recorded the number of pets owned by each of her classmates. these data points represent the results of her survey. 0, 3,

SOVA2 [1]

The dot plot of the data recorded by Tricia about number of pets owned by each of her classmates looks like scattered and some points are in one line.

Given number of pets owned by each of her classmates are: 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3.

We have to create dot plot of the data given in the question.

Firstly we have to give a code to each value which represents friend of Tricia.

A dot plot is a statistical chart which have points but they are presented in dot form. Each dot shows a value .There are two common, yet different versions of the dot chart.

After giving codes the table will look like:

Friend Number of pets

1 0

2 3

3 2

4 4

5 1

6 0

7 0

8 3

9 2

10 1

11 2

12 1

13 1

14 3

15 4

16 2

17 0

18 0

19 1

20 1

21 1

22 0

23 3

Learn more about dot plot at brainly.com/question/15853311

#SPJ4

8 0

2 years ago

The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estima

Gelneren [198K]

Answer: .C. The population is the 10,900 respondents to the American Time Use Survey.

Step-by-step explanation:

In statistics , Population is refer to a large group of individuals or observations that have same characteristics.

A sample is a subset drawn from it.

We are given that "The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estimated they get. An SRS (simple random sample) of 100 of the participants has a mean time of x¯=514.4 minutes. "

i.e. The population is 10,900 respondents to the American Time Use Survey.

4 0

4 years ago

What is the answer to 5/12 x6

tester [92]

Answer:

2.5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the product?

Alona [7]

Answer:

$\boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} }$

Step-by-step explanation:

$= > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2}$

7 0

3 years ago