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Daniel [21]
1 year ago
10

Michael says that

28%20%7B5%7D%5E%7B3%7D%20%29" id="TexFormula1" title="5( \frac{1}{ {5}^{3} }) = 5 \: ( {5}^{3} )" alt="5( \frac{1}{ {5}^{3} }) = 5 \: ( {5}^{3} )" align="absmiddle" class="latex-formula">is his answer correct? explain
Mathematics
1 answer:
Andrei [34K]1 year ago
6 0
5\cdot(\frac{1}{5^3})\ne5\cdot(5^3)

His answer is not correct, when we have a power on the denominator it is dividing and not multiplying, in this case while the expression on the left is being divided the other one is multiplying.

also you could rewrite the expressions like so remembering that powers that are on the denominator can be written as negative powers.

\begin{gathered} 5\cdot(\frac{1}{5^3})\ne5\cdot(5^3) \\ 5\cdot5^{-3}\ne5^4 \\ 5^{-2}\ne5^4 \end{gathered}

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The ages of five friends are 25, 36, 33, 36 and 30 how many of friends are older than the average (arithmetic mean) age?
Murrr4er [49]

Answer:

3 friends are older than the average.

Step-by-step explanation:

First find the mean. The mean can be found adding all the numbers in the set together and dividing by the amount of numbers in the giving set:

(25 + 36 + 33 + 36 + 30)/5 = (160)/5 = 32

The average age is 32. There are 3 friends that are older than the average (33 , 36 , 36, respectfully).

~

4 0
2 years ago
|7-4x|>1 como se resuelve está inecuación con valor absoluto??
Phoenix [80]

Answer:

Step-by-step explanation:

te da x<3/2 y x<2, pero la segunda solucion abarca la primera. Por lo tanto creo q seria x<2

3 0
3 years ago
I do not understand it answer with explanation too please​
kykrilka [37]

Answer: x = 10

Step-by-step explanation:

The sum of all interior angles in a polygon add up to 360°

Meaning to find X we grab those numbers/variables and make them equal to 360°. This will give us an equation.

106 + 94 + 135 + x + ( x + 5 ) = 360

335 + x + x + 5 = 360

340 + 2x = 360

subtract 340 from both sides

2x = 20

Divide by 2

x = 10

Now solve the angle equations to find their angle.

( 10 + 5 ) = 15

x = 10

Now to check if it's right add them together

106 + 94 + 15 + 10 + 135 = 360 ( ITS CORRECT )

7 0
3 years ago
The flow of water from a faucet can fill a
mash [69]

Answer:

3/18 gallons/seconds, or 1/6 gallons/seconds

Step-by-step explanation:

We know that for every 3 gallons, the faucet fills that amount up in 18 seconds. Another way we can write that is "3 gallons for 18 seconds", or 3 gallons / 18 seconds.

Therefore, in terms of gallons to seconds, we can write this as 3 gallons/18 seconds.

One cool thing we can do with fractions is that if we multiply/divide the numerator by the same thing, the fraction is still the same amount, like if we divided by one. For example, if we multiply 1/10 by 10/10 = 1, we would get 10/100 = 1/10, changing the numbers but still keeping the fraction intact. We can apply this concept here to reduce the fraction.

Reducing the fraction means that we want to make the numerator and denominator as small as possible while still keeping them as integers. This means that, if possible, we should divide both the numerator and denominator by their greatest common factor (if it is greater than 1).

To find the greatest common factor, we can list factors and find the greatest one among them.

We have two numbers, 3 and 18.

The factors of 3 are 1 and 3 while the factors of 18 are 1, 2, 3, 6, 9, and 18. The greatest common number among these two is 3. Therefore, we can divide both these numbers by 3 to get

3/18 = 1/6 gallons/seconds as our answer

8 0
3 years ago
Find the value when x = 2 and y =3. (2x + 5y)^0 0 1 19
Alexxx [7]
I don’t get what ^0 0 1 19 means but it’s
2(2) + 5(3)
3 0
3 years ago
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