Answer: Each fundraiser need to raise $ 135.59 in order to purchase the new net and equipment.
Step-by-step explanation:
Money required = $ 842.36
Donation amount = $ 300.00
Amount left to arrange = (Money required - Donation amount )
= $ (842.36- 300.00)
= $ 542.36
Number of fundraisers = 4
Money required to arrange by each fundraiser = (Amount left to arrange) ÷4
= $ (542.36÷4)
= $ 135.59
Hence, each fundraiser need to raise $ 135.59 in order to purchase the new net and equipment.
Answer:
Read on:
Step-by-step explanation:
Step 1:
System #1
![y=\frac{1}{2}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-2)
![y=-3x+5](https://tex.z-dn.net/?f=y%3D-3x%2B5)
System #2
![y=4x-3](https://tex.z-dn.net/?f=y%3D4x-3)
![y=4x-3](https://tex.z-dn.net/?f=y%3D4x-3)
System #3
![y=\frac{-2}{3}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-2%7D%7B3%7Dx-1)
![y=\frac{-2}{3}x+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-2%7D%7B3%7Dx%2B2)
Step 2:
Look at First Drawing:
Look at Second Drawing
Look at Third Drawing
Step 3: Intersecting
Step 4: Overlap (Same Line)
Step 5: Parallel
Step 6:
Intersecting: If the slopes are unequal
Parallel: If the slopes are equal but the y-intercept is unequal
Same line: If the slopes and y-intercepts are all equal
Step 7: The lines are parallel because although the slopes are equal, the y-intercepts are not
x = 20. 20% of 35 is also 7. (i am not 100% sure)
Answer:
![w =7\ or\ w =3](https://tex.z-dn.net/?f=w%20%3D7%5C%20or%5C%20w%20%3D3)
Step-by-step explanation:
Given
The right question is:
![\log(w^2+ 21) = \log(10w)](https://tex.z-dn.net/?f=%5Clog%28w%5E2%2B%2021%29%20%3D%20%5Clog%2810w%29)
Required
Solve for w
![\log(w^2+ 21) = \log(10w)](https://tex.z-dn.net/?f=%5Clog%28w%5E2%2B%2021%29%20%3D%20%5Clog%2810w%29)
Cancel log on both sides
![w^2+ 21 = 10w](https://tex.z-dn.net/?f=w%5E2%2B%2021%20%3D%2010w)
Equate to 0
![w^2 - 10w+ 21 = 0](https://tex.z-dn.net/?f=w%5E2%20-%2010w%2B%2021%20%3D%200)
Split
![w^2 - 3w - 7w+ 21 = 0](https://tex.z-dn.net/?f=w%5E2%20-%203w%20-%207w%2B%2021%20%3D%200)
Factorize
![w(w - 3) - 7(w-3) = 0](https://tex.z-dn.net/?f=w%28w%20-%203%29%20-%207%28w-3%29%20%3D%200)
Factor out w - 3
![(w - 7)(w-3) = 0](https://tex.z-dn.net/?f=%28w%20-%207%29%28w-3%29%20%3D%200)
Solve for w
![w - 7 = 0\ and\ w - 3 = 0](https://tex.z-dn.net/?f=w%20-%207%20%3D%200%5C%20and%5C%20w%20-%203%20%3D%200)
![w =7\ or\ w =3](https://tex.z-dn.net/?f=w%20%3D7%5C%20or%5C%20w%20%3D3)