The sum of six times a number and 8 is equal to five times the number

Answers

Answer 1
Answer: the sum of 6 itmes a numbber (6 times x or 6x) and 8 (8) (6x+8) is equal to (=) 5 times the number (5x)

6x+8=5x
subtract 5x form both sides
6x-5x+8=5x-5x
x(6-5)+8=x(5+5)
x(1)+8=x(0)
x+8=0
subtract 8 from both sides
x=-8
Answer 2
Answer: x-\ number\n\n6x+8=4x \ \ \ \ | subtract\ 4x\n\n2x+8=0\ \ \ | subtract\ 8\n\n2x=-8\ \ \ | divide\ by\ 2\n\nx=-4\n\nNumber\ is\ -4.

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The product of 7 and 0.04 is 0.28. [True] or [False]
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Find the balance in the account. $700 principal earning 5%, compounded monthly, after 9 years

at a concert, the number of security guards needed is based on the average density of people in an area of 25' x 25'called a block. The concert space measures 350' by 200'. The number of security guards is based on a number of blocks necessary and each security guard can only be responsible for one block. 12,000 people are expected to attend the concert. How many security guards will be needed? How many people, rounded to the nearest 10, will be in each block?

Answers

1 block = 25' x 25' = 625’

Concert space = 70,000’

1 security guard per block

70,00’/625’ = 112’ = number of security guards

12000*625 = 7,500,000’

7,500,000’/7000 = 1071.43 or 1070 people can fit into the block

How do you graph y=18

Answers

y = 18 is just a straight horizontal line at (0,18)

Answer:

Use the slope-intercept form to find the slope and y-intercept

Any line can be graphed using two points. Select two  x

values, and plug them into the equation to find the corresponding  y

values.  Graph the line using the slope and the y-intercept, or the points.

Slope:  2

y-intercept:  18

Write -2.55 as a mixed number

Answers

Answer: 2.55 as a mixed number is 51/20

Write 2,784 in expanded notation as a addition expression.

Answers

  2 x 1000
+7 x 100
+8 x 10
+4 x 1       
   2784

Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 5}. List the outcomes in A ∩ B. {1,3,5,7,9,11}
{1,5}
{3,5}
{5}

Answers

The outcomes that fall in A∩B are {5} only.

What do we mean by the intersection of events?

The intersection of two or more events is the number of outcomes that are common to both events. It is represented by an inverted-U sign, '∩'.

How do we solve the given question?

We are said that Ramona is playing a board game with two number cubes.

∴ All possible outcomes when the cubes are rolled by Ramona are:

(1,1) (1,1) (1,1) (1,1) (1,1) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

We are given two outcomes,

A = {the sum of the number cubes is odd}

B = {the sum of the number cubes is divisible by }

When we sum numbers on cubes for each outcome, we get

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

The outcomes with odd sum are:

(1,2) (1,4) (1,6)

       (2,1) (2,3) (2,5)

(3,2) (3,4) (3,6)

       (4,1) (4,3) (4,5)

(5,2) (5,4) (5,6)

       (6,1) (6,3) (6,5)

∴ A = {3, 5, 7, 9, 11}

The outcomes with sum divisible by 5 are:

     (1,4) (2,3) (3,2) (4,1) (4,6) (5,5) (6,4)

∴ B = {5,10}

Now, we check for common terms in A and B to find A∩B.

We only have one common term in A and B, which is 5.

∴ A∩B = {5}

Learn more about Set theory at

brainly.com/question/13458417

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A interesection B means similarities between the two sets.
The possible values you can get in B are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

A:
3, 5, 7, 9, 11

Therefore A intersection B = {3, 5, 7, 9, 11}


A teacher assigns a journal to be completed. In the journal, a student is supposed to include 32 quotations from a book they read in class. Their are 19 chapters in the book. How many quotations are to be given from every chapter?

Answers

32➗19= 1.684...

So that would mean that you would need 1-2 quotations per chapter with the minimum of at least 1 per chapter.

You would need 1-2 quotations

Hope this helps! :3