MATHEMATICS MIDDLE SCHOOL

Find the value of x for the following angles
(6x + 4)degrees and
(4x + 6)degrees

Answers

Answer 1
Answer: (6x + 4) = (4x + 6)
-4                 -4
6x = 4x + 2
-4x     -4x
6x = 2
/6     /6
x = 1/3

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URGENT!!! HELPGina has purchased 100 songs from the internet. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:

(Graph attached below)

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)

Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)

Answers

Answer:

Initial value is 100

Step-by-step explanation:

A) rate of change would be dividing the number of songs wanted (100) by the number of weeks downloading (5)

100/5 = 20

 since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -20

Initial value is 100, which is the total number of songs they want

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

y = -20x + 100

identify the solution set of the given inequality using the given replacement set x<-5;(-9,-6.5,-5.2,-5,0,4.2)

Answers

x < -5\to x\in\{-9;-6.5;-5.2\}

A shipping crate contains 576 boxes of cereal. you open the top of the crate and you count 12 boxes across the front and 6 along a side. How many layers of cereal boxes are in the crate?

Answers

There are 8 layers in the crate!
Our volume is 576 units, or cereal boxes. 576 = 12 × 6 × UNKNOWN.
We can find our unknown number by dividing:
576 ÷ 12 ÷ 6 = 8 layers!
I hope this explained it! 
ok so there is 12 boxes by 6 boxes per layer 
so that is 72 boxes per layer 
the crate has 576 boxes 
therefore 
576/72 
and the answer is 
8 layersi hope it helped you :-}

describe what would be true about the rate of change in a situation that could be represented by a graphed line and an equation in the form y=mx + b

Answers

If y=mx+b,

\frac { dy }{ dx } =m

You can't differentiate a constant, so dy/dx=m.

Kirk's grandparents are really enjoying their portable music players and have downloaded many more albums. Maude now has 225 albums, 135 of which are heavy metal. Claude now has 420 albums, 270 of which are heavy metal. Which of Kirk's grandparents has a higher probability of listening to heavy metal?

Answers

To find who has a higher probability, we need to find the percentage of each grandparent's music that is metal.

Maude:
135/225 = 0.6 = 60%

Claude:
270/420 = 0.64 = 64%

Assuming each album has the same number of tracks, Claude has a higher probability of listening to heavy metal.

Keisha read twice as many books as Ben read. Subtracting 4 from the number of books Keisha read and dividing by 2 gives the number of books Sheldon read. Sheldon read 10 books. How many books did Ben read? Show step by step answer

Answers

Ben read 12 books

Firstly you know how any books Sheldon read so to find out number of books Keisha read you go backwards to what they have mentioned.

You times number of books Sheldon has read by 2 then add 4 ( because it says subtract 4 and divide by 2).

(10x2) +4=24


Now we know Keisha has read 24 books and she has read twice as many as Ben therefore number of books Ben has read:

24/2=12

Ben has read 12 books
So Sheldon read 10 so multiply that by 2 (because your doing the opposite of it to find answer) so 2x10=20,
plus 4 =24
So Keisha read 24 books which is twice as many as Ben so divide that by 2 to get the number of books Ben read.
So 24 divided by 2 = 12
Ben read 12 books
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