Answer:
y=-1/4x+5
Step-by-step explanation:
Use the point-slope form which is y-y1=m(x-x1) where m is the slope. In this case, y is equal to 3, and x is equal to 8, and the slope is equal to -1/4. Therefore, the equation will be equal to y-3=-1/4(x-8). Simplify that to get y-3=-1/4x+2. Simplify this again to get y=-1/4x+5. Therefore, the equation is y=-1/4x+5.
A nine can go into a 20 two whole times. After that, there's still
some room left in the 20, but it's only enough room for a 2.
Well, it depends what shape you are using the volume formula for. If it's for a square (I'm assuming) then the volume formula would be:
Side^2
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
Answer:
-20/13 <g
Step-by-step explanation:
-7–5(3g+8)<10g–7+g
Distribute
-7–15g-40<10g–7+g
Combine like terms
-15g - 47 < 11g -7
Add 15 g to each side
-15g+15g -47< 11g+15g -7
-47 < 26g -7
Add 7 to each side
-47+7 < 26g-7+7
-40 < 26g
Divide each side by 26
-40/26 <26g/26
-40/26 <g
Divide top and bottom by 2
-20/13 <g
