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AlekseyPX
3 years ago
11

You need to write 0.63 as a fraction. How do you choose the denominator?

Mathematics
2 answers:
Tamiku [17]3 years ago
7 0
I would use 100 as the denominator because it can not be simplified as a whole number
Lostsunrise [7]3 years ago
4 0
It is in hundred . the number is in the hundred spot so the decimal for 100
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What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3
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One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do 3^{(2-4)} since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get 3^{-2}, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
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Answer: (9, 10800)

Step-by-step explanation:

We will first let x be the number of years and y be the total cost.

In that case, let's plug in the values for each into the equation <em>y=mx+b, </em>where m is the slope and b is the y-intercept.

The y-intercept will be the <u>value we start with before any years pass</u>, so it will be the <u>installation cost</u>. The slope is <u>how fast the total cost will increase</u>. Since the <u>operation costs</u> have to be added on every year, it will be our slope.

With that in mind, let's create both of our equations:

  1. y = 900x + 2700 (Oil system)
  2. y = 200x + 9000 (Solar system)

Since y is solved for in the first equation, we can substitute it into the second equation:

900x + 2700 = 200x + 9000

700x + 2700 = 9000 <em>[Subtracting 200x from both sides]</em>

<em />700x = 6300 <em>[Subtracting 2700 from both sides]</em>

<em />x = 9 <em>[Dividing both sides by 700]</em>

<em />

We can now substitute 9 for x in any equation and solve for y. Here I substituted it into the first one:

y = 900(9) + 2700

y = 8100 + 2700 <em>[Multiplying]</em>

<em />y = 10800 <em>[Adding]</em>

Hence, the solution to this linear system is (9, 10800).

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2 years ago
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