MATHEMATICS HIGH SCHOOL

in a survey of teens, 21% said their friends like to read and talk about books. About how many teens out of 1,095 would say their friends read and talk about books?

Answers

Answer 1

Answer:

Answer:

About 230 teens would say that their friends read and talk about books.

Step-by-step explanation:

From the survey, 21% of teens like to read and talk about books.

21% = $(21)/(100)$

Thus, from 1095 teens, 21% of them would say their friends read and talk about books.

21% of 1095 = $(21)/(100)$ × 1095

= $(22995)/(100)$

= 229.95

Therefore, about 230 teens from 1095 would say that their friends read and talk about books.

Answer 2

Answer: 21÷100=0.21 0.21×1095=230 friends estimeted from 229.95

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Answer:

y=x+2

Step-by-step explanation:

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Answers

5 - 3 1/3?

whell the answer would come up to be 5/3

5/3 the answer is or 2/3

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Answers

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The midpoint of a segment is (−6,−5) and one endpoint is (1,3). Find the coordinates of the other endpoint.A. (8, 11)
B. (8, -13)
C. (-13, -13)
D. (-13, 11)

Answers

Answer: C. (-13, -13)

Step-by-step explanation:

The midpoint (x,y) of a line segment having two end points (a,b) and (c,d) is given by :-

$x=(a+c)/(2)\ ;\ y=(b+d)/(2)$

Given : The midpoint of a segment is (-6,-5) and one endpoint is (1,3).

Let the coordinates of other end point be (a,b) then , we have

$-6=(a+1)/(2)\ ;\ -5=(b+3)/(2)\n\n\Rightarrow\ a+1=2*-6\ ;\ b+3=2*-5\n\n\Rightharrow\ a+1=-12\ ;\ b+3=-10\n\n\Rightarrow\ a=-12-1\ ;\ b=-10-3\n\n\Rightarrow\ a=-13,\ ;\ b=-13$

Hence, the coordinates of the other endpoint = (-13,-13)

C. (-13,-13)
You take the x of the midpoint and equal it to the formula of the midpoint so it will be -6 = 1+x/2 so 1st you times 2 by 6 because you wanna get rid of 2 so it will -12 Then when you move 1 so x is alone it will be -1 so -12-1= -13
Same thing for y

Solve the system of equations 3y+2z=12 and y-z=9

Answers

mulitply second equation by 2 and add to first

3y+2z=12
2y-2z=18 +
5y+0z=30

5y=30
divide 5
y=6

sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3

x=-3
y=6

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