Answer:
Pure water =74.1 mL
Step-by-step explanation:
You need 420 mL of a 70% alcohol solution.
420 mL of solution and 70% of it should be alcohol.
So,
420 * 70/100 mL
= 420 * 0.7
= 294 mL of alcohol and the rest should be water.
On hand, you have a 85% alcohol mixture.
The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:
Let
y = alcohol solution needed
85% of y = 294
85/100 * y = 294
y = 294 ÷ 85/100
y = 294 × 100/85
y = 29,400/85
y = 345.88235294117
Approximately, 345.9mL
The rest of 420 mL solution has to be pure water
Pure water = 420 mL - 345.9mL
= 74.1 mL
Pure water =74.1 mL
Answer:
6375 ≤ P < 6385
Step-by-step explanation:
When rounding to the nearest 10, the unit value is either rounded to 1 and added to the tens value (if value is greater than or equal to 5) or rounded to 0 (if less Than 5)
Hence, the lower limit of a number p which gives 6380 when rounded to the nearest ten would be 6375 ;
The upper limit of the number p in other to give 6380 when rounded to the nearest 10 will be 6384 (< 6385)
Step-by-step explanation:
To figure out the tip, you need to find 20% of $52.60.
0.2×52.6=10.52
You should leave $10.52 for the waiter if you want to leave him exactly 20%.
To figure the tax, you need to find 8% of $52.60.
0.08×52.6=4.208
Next, add them up:
52.6+10.52+4.208=67.328
The total bill, including tax and tip, will be $67.33.
Solution: Estimating an answer
If you are not concerned whether you give the waiter exactly 20%, you can simply estimate the total bill. Tax and tip together are a little less than 30% and the bill is a little more than $50. Since 30% of 50 is 15, the tax and tip together are approximately $15. (Note that the exact calculation is $14.73.)
We can also estimate the total bill as $52 + $15 = $67, which is very close to the exact calculation of $67.33. This kind of estimating is a good way to check the answer to an exact calculation, and more like the way you would probably compute tax and a tip in a real restaurant. follow me entrust
2 + 5 + 8 + ... + 41 = 301
Answer:
301
Answer:
The GCF of both is g^3
Step-by-step explanation:
Here, we are asked to give the greatest common factor of g^3 and g^15
In simpler terms we want to find that biggest term that could divide both values.
Mathematically, since g^3 is itself a factor of g^15, then we can conclude that the GCF of both is g^3
