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deff fn [24]
3 years ago
7

When 40% of a number is added to the number the result is 210 what is the number

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0
Let the number be x
x + (x  \times 40\% )= 210
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24<br> ,<br> Factor:<br> x²-9<br> A<br> (x + 3XX-3)<br> B<br> (x+3)2<br> с<br> (x-3)<br> (x+3)(x+3)
Katarina [22]

Answer:

(x-3)(x+3)

Step-by-step explanation:

We are given the expression \displaystyle \large{x^2-9}:—

To factor this expression, we have a formula for it which is <u>difference of two squares</u>:—

\displaystyle \large{a^2-b^2=(a+b)(a-b)}

You can also swap from \displaystyle \large{(a+b)(a-b)} to \displaystyle \large{(a-b)(a+b)} via multiplication property.

From the expression, factor using the formula above:—

\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}

Therefore, the factored expression is:—

\displaystyle \large{\boxed{(x-3)(x+3)}}

__________________________________________________________

If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!

5 0
2 years ago
There are 18 people waiting for the train. Eight-ninths of them have an umbrella. How many people waiting for the train have an
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Answer:

Step-by-step explanation:

Ok, so there are 18 people. If 8/9 have umbrellas, how many have umbrellas?

There is a simple solution to this.

First, lets find out how much people is 1/9

We can do this by dividing 18 by 9 to get 2

So 1/9 of the group is 2 people.

Now you can use this to find 8/9 by multiplying 2 by 8

This gives you the total of 16

Another way you could do this was take the answer from the first step and subtract that from the 18

9/9 - 1/9 = 8/9   => 18 - 2 = 16

Hope this helps! =)

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Here we are looking to find the critical value Z.

When alpha is 0.05:

0.05/2=.025

Using your z chart this would equal 1.96 positive or negative. Hope this helps!

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3 years ago
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