Which scatterplot does NOT suggest a linear relationship between and y

Understanding Mathematics, Resource 2, Chapter Nine.

VikaD [51]

Answer:

6. 6 is the number I thought of

8. -15 is the number I thought of

Step-by-step explanation:

6. Let x represent the number you thought of.

x/2 . . . halve it

x/2 -5 . . . take away 5 (from the previous result)

x/2 -5 +3x . . . then add on 3 times the number I thought of

= . . . I end up with ...

4 + . . . four more than ...

4 + 2x . . . ... twice the number I first thought of.

So, the equation is ...

x/2 -5 +3x = 4 +2x

Subtracting 2x we have

x/2 -5 +3x -2x = 4

Adding 5 and collecting terms, we get

(3/2)x = 9

Multiplying by the inverse of the coefficient of x, we get ...

x = (2/3)(9)

x = 6

The number I first thought of was 6.

__

Check

After I halve it, take away 5 and add back 3 times 6, I have ...

3 -5 +18 = 16

After I add 4 to twice the number, I have ...

4 +2·6 = 16

So, the first set of manipulations gives the same result as the second. 6 is the answer.

_____

8. Let x represent the number I thought of.

x +4 . . . add 4

5(x +4) . . . multiply the answer by 5

= . . . . I could get the same final answer by ...

4x . . . multiplying my number by 4

4x +5 . . . then adding 5

So, the equation is ...

5(x +4) = 4x +5

5x +20 = 4x +5 . . . . eliminate parentheses

x + 20 = 5 . . . . . . . . subtract 4x

x = -15 . . . . . . . . . . . subtract 20

The number I thought of was -15.

__

Check

Add 4 and multiply the result by 5: 5(-15+4) = 5(-11) = -55.

Multiply the result by 4 and add 5: 4(-15)+5 = -60+5 = -55, the same final answer.

The answer of -15 checks with the problem statement.

6 0

4 years ago

How to do distributive property using word problems?

Marta_Voda [28]

Well, I have an example that might help:

Rico's MP3 player holds songs of three different genres: grindcore, zydeco, and kuduro. There are 55 times as many grindcore tracks as there are zydeco tracks, and there are 77 times as many kuduro tracks as there are zydeco tracks. Let xx represent the number of zydeco tracks. Write an expression for the total number of tracks on the MP3 player, and simplify it.

Multiply the number of zydeco tracks by 55 to get the number of grindcore tracks.

5x5x

Multiply the number of zydeco tracks by 77 to get the number of kuduro tracks.

7x7x

Add up the numbers of all the tracks.

x+5x+7xx+5x+7x

Simplify using the distributive property.

=(1+5+7)x=13x=(1+5+7)x=13x

So, Rico's MP3 player holds 13x13x tracks.

I hope I helped you!

5 0

3 years ago

Hi . The main problem most students have is converting learned material in to ----------------- memory and understanding it .

Sergio039 [100]

Is this a question that we can answer? like mathematically? or was this an accident but i do agree with that!

7 0

3 years ago

Here is a list of questions. For each question, decide if the responses will produce numerical data or categorical data and give

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Numerical data are majorly in digit form (i.e numbers), while a categorical data deals with grouped data. Thus some probable answers to the questions are:

1. Categorical data.

ii. Possible responses could be: English breakfast or Continental breakfast.

2. Categorical data.

ii. Possible responses could be: either by road or by air transportation

3. Numerical data.

ii. Possible responses could be: 6 or 10

4. Categorical data.

ii. Possible responses could be: snacks or soft drink

5. Numerical data.

ii. Possible responses could be: 20 minutes or 30 minutes

7 0

3 years ago

Read 2 more answers

PLSS HELP MEEEEEEE PLSSS

grigory [225]

2(3.14)6x12+2(3.14)(6)^2

4 0

3 years ago