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Marta_Voda [28]
3 years ago
9

Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many sticke

rs does Peter have?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Answer:

170

Step-by-step explanation:

Equations derived from given info.

  • P=2J
  • J=E+40
  • P+J+E=300

Use some substitution now.

  • P=2(E+40)
  • J=E+40
  • P+J+E=300

Substitute first and second equation into third.

  • 2(E+40)+E+40+E=300
  • 2E+80+E+40+E=300
  • 4E+120=300
  • 4E=180
  • E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

  • P=2(45+40)
  • P=90+80
  • P=170

Peter has 170 stickers.

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PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
son4ous [18]

Answer:

5)

Line 1: y=-x+3

Line 2: y=3x-3

6)

Line 1: y=\frac{1}{2}x-2

Line 2: y=-\frac{5}{2}x+6

7)

See below

Step-by-step explanation:

To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.

5)

The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.

It's pretty hard to read that top graph in the photo, but I think I see these ones marked:

Line 1: (0, 3) and (3, 0)

Line 2: (0, -3) and (2, 3)

Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.

Divide the change in y by the change in x:

m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1

The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.

Now for line 2:

m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3

When x increases by 1, y increases by 3.

The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.

Line 1: 3

Line 2: -3

Now, you can write the equations for these lines in slope intercept form:

y=mx+b

where m is the slope and b is the y-intercept we found above.

Line 1: y=-x+3

Line 2: y=3x-3

In line 1, -1x can be simplified to just -x.

6)

I'll do the exact same process here, but with less explaining. Let me know if you have any questions.

Find 2 points:

Line 1: (0, -2) and (4, 0)

Line 2: (0, 6) and (4, -4)

Find the slope of line 1:

m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}

and line 2:

m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}

Now, the y-intercepts:

Line 1: -2

Line 2: 6

Write the equations:

Line 1: y=\frac{1}{2}x-2

Line 2: y=-\frac{5}{2}x+6

7)

A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.

Example:

y=2x+1\\y=2x+2

Those both have a slope of 2, and if you graph them, you'll see that they never intersect.

A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.

Example:

y=2x+1\\y=2x+1

That's what they are, graph them however you like.

3 0
2 years ago
Help plz and it’s not 61.6 because that’s what someone has said
bekas [8.4K]

Answer:  250 total kids and 140 girls

Step-by-step explanation:

%56=girls that means %44= boys  that means 110 is %44 of the number of kids is 110/44*100= 2.5*100=250kids  56%=girls that means %56 of 250 which is 140 girls

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3 years ago
How to arrow way 700-456=
Amiraneli [1.4K]
The answer to this is 244
4 0
3 years ago
A triangle has height 15 in. And area 120 in2. what is length of its base
Novosadov [1.4K]
Working out is in picture

4 0
3 years ago
Read 2 more answers
Whats the answer for this problem 8x+y=-16 <br> -3x+y=-5
marissa [1.9K]
<span><span> {x,y} = {-7/4,-2}</span> 

Explanation:
</span>System of Linear Equations entered :
 [1] 8x+y=-16
 [2] -3+y=-5

Equations Simplified or Rearranged :<span><span> 
  [1] 8x + y = -16 </span><span> 
  [2] y = -2

Regards
Sonny
</span></span><span>
</span>
8 0
3 years ago
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