Answer:2
Step-by-step explanation:
You get the same denominator and then take away the amount pounds of trail mix for each bag to the amount that he had in total and keep doing it until there is no more
Answer:
The answer is d because they are similar
Step-by-step explanation:
You can either graph the two lines on an online graphing website and find where they intersect.
If you aren't allowed to do so, just plug in one equation into the other.
y=3x+12, so plug in y into 2y= -x-11.
Then you get 2(3x+12)=-x-11.
Distribute to get 6x+24= -x-11
At this point I hope you can solve for x by yourself, but if you can't, here's how:
7x+24=-11
7x=-25
x=
![\frac{-25}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-25%7D%7B7%7D%20)
To find y, plug in x into either equations: <span>2y= -x -11 and y=3x + 12.
</span>You get about -3.714
So coordinate of interesection=
![\frac{-25}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-25%7D%7B7%7D%20)
, -3.714
In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;
In accordance, we can say:
(2p + 7q)x = 4x [1]
(p + 8q)y = 5y [2]
2q - p + 1 = 2 [3]
All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):
Rearrange in terms of p:
p + 8q = 5 [2]
p = 5 - 8q [2]
p + 2 = 2q + 1 [3]
p = 2q - 1 [3]
Now equate rearranged [2] and [3] and solve for q:
5 - 8q = 2q - 1
10q = 6
q = 6/10 = 3/5 = 0.6
Now, substitute q-value into rearranges equations [2] or [3] to get p:
p = 2(3/5) - 1
p = 6/5 - 1
p = 1/5 = 0.2