MATHEMATICS MIDDLE SCHOOL

I got another problem on substitution on linear equations... I'm very confused. How do I know which one to start? How do I know what to do? Is there any simple explanations? x -2y =5
3x - 5y =8

Can you help me do this in the simplest way please? I'm kinda struggling to get this concept down... :(

Answers

Answer 1
Answer: Don't worry, you just have to get used to these problems! You can do it girl!!

So, it doesn't matter where you start. I would start finding the x in the first equation, like this:

x - 2y = 5
x = 5 - 2y

Which is really easy, isn't it?
Now you know that x is equal to 5 - 2y, so you can substitute the x in the second equation. (You could have done the same solving by y, it doesn't matter :D )

3 ( 5 - 2y ) - 5y = 8

15 - 6y - 5y = 8

- 6y - 5y = 8 - 15

-11y = -7

y = -7/-11 = 7/11

Now you found your y! Let's substitute it in the first equation. (The beginner one, not the one that you worked on) 

x - 2 (7/11) = 5

x - 14/11 = 5

x = 5 + 14/11

x = 69/11

I know you got it now! ;) Otherwise ask me whatever you want!

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Someone rolls a six sided fair die 5 times. They consider it a success if they have a two or three on a die. Whats the probability of 2 successes? no successes? and at least 3 successes?

Answers

Answer:

2 successes =  80/243

0 successes = 32/243

at least 3 successes = 51/243

Step-by-step explanation:

Lets suppose we had the following sequence of 5 throws:-

2 or 3,  2 or 3 ,  then NOT 2 or 3 on last 3 throws

Probability of this is

1/3 * 1/3 * 2/3 * 2/3 * 2/3 = 8/243

There are  (5*4) / 2 = 10 ways of having this result  ( that is the number of combinations of 2 from  5   =  5C2 ).

So Prob(2 successes) = (8/243) * 10  = 80/243

Prob ( No successes) =  (2/3)^5 = 32/243

Probability of 3 successes = 1/3 * 1/3 * 1/3 * 2/3 * 2/3 *   5C3  

4/243 * 10 = 40 / 243

Probability of 4 successes =  (1/3)^4 * 2/3 * 5C4

= 10/243

Probability of 5 success = (1/3)^5 = 1 / 243

Prob(at least 3 successes) = 51/243

Answer:

2 successes =  80/243

0 successes = 32/243

at least 3 successes = 51/243

Step-by-step explanation:

Lets suppose we had the following sequence of 5 throws:-

2 or 3,  2 or 3 ,  then NOT 2 or 3 on last 3 throws

Probability of this is

1/3 * 1/3 * 2/3 * 2/3 * 2/3 = 8/243

There are  (5*4) / 2 = 10 ways of having this result  ( that is the number of combinations of 2 from  5   =  5C2 ).

So Prob(2 successes) = (8/243) * 10  = 80/243

Prob ( No successes) =  (2/3)^5 = 32/243

Probability of 3 successes = 1/3 * 1/3 * 1/3 * 2/3 * 2/3 *   5C3  

4/243 * 10 = 40 / 243

Probability of 4 successes =  (1/3)^4 * 2/3 * 5C4

= 10/243

Probability of 5 success = (1/3)^5 = 1 / 243

Prob(at least 3 successes) = 51/243

The movie started at 11:45 and ended at 1:20 how long was the movie

Answers

11:45 ---> 01:20

11:45 + (00:15 + 01:00 + 00:20)

= 01:20

So your answer is:

01:35 which is 1 hr, 35 mins.

#9 i need help it would really be appreciated

Answers

For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.

40 ÷ 5 = 8

It makes 8 copies every minute. 

Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13. 

8 • 12 = 96
8 • 13 = 104

Since those answers match up with the chart, it must be correct.

The photocopier makes 8 copies every minute. Hope that helps!

How many rational numbers are there between -10 and 10

Answers

There is an infinite amount of rational numbers between -10 and 10.

A rational number is ant number that can be expressed in simple terms, this includes decimals.

Answer-1

Step-by-step explanation:

Write the equation of a line that goes through the point (5,10) and is perpendicular to the lineY = -1/5x + 3

Answers

Answer: Well you see, I'm not gonna give u the answer kid. The explanation will help you more

Step-by-step explanation: If a line is perpendicular, then take the negative reciprocal of the slope. After that, use the point slope formula to write the equation

Answer:

y-10=-1/5(x-5)

Step-by-step explanation:

y-y1=m(x-x1)

m=slope

There is a relationship between the shaded part of each design and the unshaded part. Describe this relationship.

Answers

the Shaded part represents what you are using or what is being used and the unshaded part represents what is left over or is not being used. or vice versa which means the other way around.

Answer if you look at the Shaded part you can tell that your using those parts and if you look at the blank part you're not using those parts hope this helps


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