Answer: 120 permutations
Step-by-step explanation: permutation is different from combination because in a permutation the order you put it in matters. in a combination any order is fine. So there is only one combination you can make with these numbers, but there is 120 permutation you can make.
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175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.
Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45
Solve for <em>v</em> :
43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)
43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>
0.25<em>v</em> = 35 mL
<em>v</em> = 140 mL
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Answer: 23.476 = 20+3+0.4+0.07+0.006
Step-by-step explanation:
I think you were supposed to write down the choices but I will guess the answer is this one:
23.476 = 20+3+0.4+0.07+0.006
Hope I helped!
Answer:
Step-by-step explanation:
<em>Original question is attached</em>
<h3>Option 1</h3>
- C(x) = 25x + 50
- C(8) = 25*8 + 50 = $250
<h3>Option 2</h3>
- As per table, the rate of change is $30 per 2 hours.
- So 8 hours will cost
- $190 + $30 = $220
As we see the second option is cheaper so we should hire the Master Remodeling
