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sergey [27]
3 years ago
6

Solve each system of equation by using elimination 9p+8q=2 6p-5q=26

Mathematics
1 answer:
noname [10]3 years ago
7 0
You need to find a number which either has 6 and 9 as factors or 8 and 5 as factors.

I will go with 18

9p + 8q = 2 —> to get to 18p you have to multiply 9 by 2 so multiply the whole equation by 2

6p - 5q= 26 —> to get to 18p you have to multiply 6 by 3 so multiply the whole equation by 3

You end up with:

18p + 16q = 4

And

18p -15q = 78

Since they both now have a common term (18p) you can subtract them from one another by elimination to have 1 unknown left in the equation.

18p + 16q = 4
- 18p - 5q = 78

Goes to 21q ( - and - is a +) = -74
So q=-74/21

When this is substituted in original equations (ideally the easier one)

9p = 2-8(-74/21)
You will obtain p through division by 9

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Find the median mode range and any outliers. Then describe the data using them 77777,88,555,6,99,10101010,12
umka2103 [35]

Answer:

The median = 5

The mode  = 7

Range = 5

Outliers= None

Step-by-step explanation:

The median is the  value of the middle term.

The median is that value which divides the data into two equal halves.

7,7,7,7,7,8,8,5,5,5,6,9,9,10,10,10,10,12

There are 18 terms . So the middle term would be 9th term value= 5

The mode is the value which is repeated the most. = 7

Range is the difference between the highest and lowest value.= 12- 7= 5

The interquartile range, IQR= q3 - q1 where q3= 10 and q1= 7

IQR= 10 −7=3

The inner fences can be found out by

q1−(1.5*IQR) and q3+(1.5*IQR)

=7−(1.5*3) and 10+(1.5*3)

Inner fences: 2.5 and 14.5

The outer fences are q1−(3*IQR) and q3+(3*IQR)

=7−(3*3) and 10+(3*3)

Outer fences: -2 and 19

So if there are any outliers in this data set, they will either be less than -2 or greater than 19. But there are no outliers.

6 0
3 years ago
Help me answering this question
tatuchka [14]

Answer:

D

Step-by-step explanation:

when we perform each of these transformations, the only one that does <u>NOT</u> make shape F congruent (the same position, orientation and size) with shape G, for it reflects over and axis making it mirror to G, but is then ROTATED 90 degrees into shape G's sector, rotating the shape 90 degrees as well

hope this helps ya out :)

7 0
2 years ago
There are 45 students in a class. The ratio of boys to girls is 2:3. How many boys are there in the class?
Lena [83]

Answer:

18 boys

Step-by-step explanation:

we add 2 and 3 because they are equal parts:

2+3=5

Then we divide 45 by 5 because we want to find what 1 part equals"

45/5=9

We now do 9*2 to get an answer of:

9*2=18

hope this makes sense!

7 0
3 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Sunny_sXe [5.5K]

Answer:

58

Step-by-step explanation:

upper quartile is the median of the upper half of a data set

The median is the middle number which is 37

There are 5 numbers left in the upper half

The middle number or median  of the upper half is 58

6 0
3 years ago
Read 2 more answers
I NEED THIS ASAP!!! What is GC?
umka21 [38]

9514 1404 393

Answer:

  D.  14

Step-by-step explanation:

Point G divides each median into parts that have the ratio ...

  short : long = 1 : 2

Then ...

  GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7

GC = 14

6 0
3 years ago
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