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olga nikolaevna [1]
3 years ago
6

Find the number of gallons of sulferic acid in 50 gallons of solution in a tank, if the percent of sulfuric acid is 50%.

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Answer:

25 gallons of sulfuric acid

Step-by-step explanation:

Find how much sulfuric acid is in the tank by finding 50% of 50 (the total gallons of solution):

50(0.5)

= 25

So, there are 25 gallons of sulfuric acid.

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The sum of two numbers is 59 and the difference is 15 . what are the numbers?
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Write a system of equation based on the number
For an instance, the two numbers are a and b.
"The sum of two numbers is 59" can be written as follows.
⇒ a + b = 59  <em>(first equation)
</em>"The difference is 15" can be written as follows.
⇒ a - b = 15  <em>(second equation)</em>

Solve the system of equation by elimination/substitution method.
First, eliminate b to find the value of a.
a + b = 59
a -  b = 15
--------------- + (add)
2a     = 74
  a     = 74/2
  a     = 37

Second, substitute 37 as a in one of the equations
a + b = 59
37 + b = 59
b = 59 - 37
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5 0
3 years ago
You bet $50 on 00 in a game of roulette. If the wheel spins 00, you have a net win of $1,750, otherwise you lose the $50. A stan
sesenic [268]

Answer:

-$2.63

Step-by-step explanation:

Calculation for the expected profit for one spin of the roulette wheel with this bet

Based on the information given you bet $50 on 00 while the standard roulette has 38 possible outcomes which means that the probability or likelihood of getting 00 will be 1/38.

Therefore when we get an 00, we would get the amount of $1,750 with a probability of 1/38 and in a situation where were we get something other than 00 this means we would lose $50 with a probability of 37/38.

Now let find the Expected profit using this formula

Expected profit = sum(probability*value) -sum(probability*value)

Let plug in the formula

Expected profit =($1,750 * 1/38) - ($50 * 37/38)

Expected profit=($1,750*0.026315)-($50×0.973684)

Expected profit= 46.05 - 48.68

Expected profit = - $2.63

Therefore the expected profit for one spin of the roulette wheel with this bet will be -$2.63

3 0
3 years ago
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