Answer: 3.5 pounds
Step-by-step explanation:
3 s + 7 h = 32 s = shoes h= hand grenades
6 s + 2 h = 22 Multiply first equation by -2 and add to second equation to get :
-12 h = -42
h = 3.5 pounds
sorry if this was late
The first equation is linear:

Divide through by

to get

and notice that the left hand side can be consolidated as a derivative of a product. After doing so, you can integrate both sides and solve for

.
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1xy\right]=\sin x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1xy%5Cright%5D%3D%5Csin%20x)


- - -
The second equation is also linear:

Multiply both sides by

to get

and recall that

, so we can write



- - -
Yet another linear ODE:

Divide through by

, giving


![\dfrac{\mathrm d}{\mathrm dx}[\sec x\,y]=\sec^2x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B%5Csec%20x%5C%2Cy%5D%3D%5Csec%5E2x)



- - -
In case the steps where we multiply or divide through by a certain factor weren't clear enough, those steps follow from the procedure for finding an integrating factor. We start with the linear equation

then rewrite it as

The integrating factor is a function

such that

which requires that

This is a separable ODE, so solving for

we have



and so on.
Answer:
ok so im so confused but like you know i tried and i got this:
X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.
(32 - x)(7 - x) = 116
(x - 32)(x - 7) = 116
x^2 - 39x + 224 = 116
x^2 - 39x + 108 = 0
(x - 3)(x - 36) = 0
x = 3, 36
But (32 - x) > 0, so x does not equal to 36.
x = 3
3 years ago, the father would be 29 years old, and the son 4 years old.
i know it sounds crazy but i think its wrong lol
Answer:
15
Step-by-step explanation:
800 = 120
100 = x (number we have to find)
800x = 12000
x = 12000 ÷ 800
x = 15
Answer:
u can use desmos to help u.
Step-by-step explanation: