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user100 [1]
3 years ago
6

PLEASE ANSWER FAST What is the average of the following two numbers? 5.67 x 10^-21 and 7.24 x 10^-19

Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer: The average of two numbers is 3.64835\times 10^{-19}.

Explanation:

The first term is,

5.67\times10^{-21}

The second term is,

7.24\times10^{-19}

Average formula is,

Average=\frac{\text{Sum of observations}}{\text{Number of observations}}

Average=\frac{5.67\times10^{-21}+7.24\times10^{-19}}{2}

Average=\frac{5.67\times 10^{-2}\times10^{-19}+7.24\times10^{-19}}{2}

Average=\frac{0.0567\times10^{-19}+7.24\times10^{-19}}{2}

Average=\frac{(0.0567+7.24)\times10^{-19}}{2}

Average=\frac{(7.2967)\times10^{-19}}{2}

Average=3.64835\times10^{-19}

Therefore, the average of two numbers is 3.64835\times 10^{-19}.

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Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

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geniusboy [140]
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\mathsf{\dfrac{-8(-4)}{2}}

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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
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Answer:

1) 2 lbs

2) 0.17 lbs

3) 9.5 lbs

Step-by-step explanation:

Amount of sugar Ella has = 0.5 lbs

Let the amount of water she adds to make the solution = x lbs

So total amount of the mixture would be = (x + 0.5) lbs

Case 1: 20% syrup

20% syrup means the sugar percentage in the mixture should be 20% of the entire mixture. So, 0.5 should be 20% of (x + 0.5). In equation form this can be written as:

0.5 = 20% of (x + 0.5)

0.5 = 0.2(x + 0.5)

Dividing both sides by 0.2, we get:

2.5 = x + 0.5

x = 2 lbs

This means, 2 lbs of water should be added to make 20% syrup solution. So, total syrup she would have will be 2.5 lbs.

Case 2: 75% syrup

75% syrup means the sugar percentage in the mixture should be 75% of the entire mixture. So, 0.5 should be 75% of (x + 0.5). In equation form this can be written as:

0.5 = 75% of (x + 0.5)

0.5 = 0.75(x + 0.5)

Dividing both sides by 0.75, we get:

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x = 0.17 lbs

This means, 0.17 lbs of water should be added to make 75% syrup solution. So, total syrup she would have will be 0.67 lbs.

Case 3: 5% syrup

5% syrup means the sugar percentage in the mixture should be 5% of the entire mixture. So, 0.5 should be 5% of (x + 0.5). In equation form this can be written as:

0.5 = 5% of (x + 0.5)

0.5 = 0.05(x + 0.5)

Dividing both sides by 0.05, we get:

10 = x + 0.5

x = 9.5 lbs

This means, 9.5 lbs of water should be added to make 5% syrup solution. So, total syrup she would have will be 10 lbs.

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