Answer:
350 points are possible
Step-by-step explanation:
You take 329 divided by 94% or .94 to get 350.
100% of 350 is 350
To double check, 94% of 350 is 329 & 6% of 350 is 21. 329 +21 = 350
Answer:
36 is dividend
in 36/6, 6 is the divisor
the other 6 is quotient
Step-by-step explanation:
Sum of n terms in a geometric progression is given by Sn = a1 (1 - r^n) / (1 -r)
3( 1 - 4^6) / (1-4)
= 4,095
Answer:
120 liters of 60% alcohol solution is needed
Step-by-step explanation:
Let's assume
x liters of 60% alcohol solution is added
so, we get solution as
![=\frac{60}{100}\times x](https://tex.z-dn.net/?f=%3D%5Cfrac%7B60%7D%7B100%7D%5Ctimes%20x)
![=0.6x](https://tex.z-dn.net/?f=%3D0.6x)
we are given
40 liters of a 20% alcohol solution is
![=40\times\frac{20}{100}](https://tex.z-dn.net/?f=%3D40%5Ctimes%5Cfrac%7B20%7D%7B100%7D)
![=40\times\frac{20}{100}](https://tex.z-dn.net/?f=%3D40%5Ctimes%5Cfrac%7B20%7D%7B100%7D)
![=8](https://tex.z-dn.net/?f=%3D8)
so, total alcohol solution is
![=8+0.6x](https://tex.z-dn.net/?f=%3D8%2B0.6x)
now, we can find total solutions
total solutions is
![=x+40](https://tex.z-dn.net/?f=%3Dx%2B40)
now, it is making 50% solution
so, we get
![\frac{8+0.6x}{x+40} =\frac{50}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B8%2B0.6x%7D%7Bx%2B40%7D%20%3D%5Cfrac%7B50%7D%7B100%7D)
now, we can solve for x
![\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50](https://tex.z-dn.net/?f=%5Cleft%288%2B0.6x%5Cright%29%5Ccdot%20%5C%3A100%3D%5Cleft%28x%2B40%5Cright%29%5Ccdot%20%5C%3A50)
![800+60x=50x+2000](https://tex.z-dn.net/?f=800%2B60x%3D50x%2B2000)
![10x=1200](https://tex.z-dn.net/?f=10x%3D1200)
![x=120](https://tex.z-dn.net/?f=x%3D120)
So,
120 liters of 60% alcohol solution is needed
0.008 would equal to 8/1000 while 0.08 would be 8/10. That would mean 0.008 is much smaller than 8/10. You use the idea of base 10.