D. works because if you work it out that means 2n=140 and then divide by 2 which means n=70 and the other number is 71
3c + 5t = 39....multiply by -3
9c + 7t = 63
----------------
-9c - 15t = - 117 (result of multiplying by -3)
9c + 7t = 63
---------------add
- 8t = - 54
t = -54/-8
t = 6.75 <=== tables are 6.75
3c + 5t = 39
3c + 5(6.75) = 39
3c + 33.75 = 39
3c = 39 - 33.75
3c = 5.25
c = 5.25/3
c = 1.75 <=== 1.75 per chair
Answer:
The equivalent expressions are;
9x + 9
and
9(x + 1)
Step-by-step explanation:
Mathematically, we should understand that an equilateral triangle has all of its sides equal
So if one side is 3x+ 3, the other sides too measures same
Therefore, the length of the rope represents the perimeter of the triangle
This is obtainable by adding all the side lengths together
This will be;
3x + 3 + 3x + 3 + 3x + 3 = 9x + 9
This is also same as 9(x + 1)
So the easiest way to do this problem is to put your equation in linear form, meaning y = the rest of the equation.
I'm going to show the work to do that below:
2x - y = 4
-2x -2x (Here I am subtracting 2x)
- y = 4 - 2x
(-1)(- y) = (-1)(4 - 2x) (Now I'm multiplying both sides by -1 to make y positive)
y = 2x - 4 (And just for neat purposes I'm going to put the 2x in front of the 4)
Now you have your equation ( y=2x-4 ) and you're ready to put it on the points of your graph.
Start on the point (0, -4) to represent the y axis.
y = 2x - 4
Then, your rise (2) over your run (1)
so your coordinates for a line will be:
(0, -4) (-2, 1) (1, 0)
You only need to plot these three to connect your line.
I appologize for my lack of visuals i understand this might be confusing, however if you have any further questions feel free to let me know!
You could buy $7 for each tin of popcorn and get 8, $8 for 7 tins of popcorn, or $4 for 14 tins of popcorn
