Answer:
Step-by-step explanation:
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Answer:

Step-by-step explanation:
Your original number to convert is 0.333333. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 3).
If we do this, we'll get a 3.333333 (slide the decimal in the 0.333333 right 1 places, you'll get 3.333333).
So what? Well now, we have two numbers with the same repeating decimal parts, 3.333333 and 0.333333.
Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x = 0.333333. The number with the decimal point slid over can be called 10x, because 10x = 3.333333
10x = 3.33333
-x = 0.333333
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Now, solving 9x=3 for x by dividing both sides of it by 9, we'll get that x=3/9. And this is your answer.
How is this your answer? Well remember that above, x was originally set equal to 0.333333 via x = 0.333333, and now we have that x is also equal to 3/9, so that means 0.333333 = 3/9..and there's 0.333333 written as a fraction.
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<u>Simplify 3/9 into the lowest terms:</u>

Answer:
x=30h
Step-by-step explanation:
First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.
165-45=120
Now you know she paid 120 dollars in total for lessons.
You know she took four hours of lessons, so you divide 120 by 4.
120/4=30
It takes $30 an hour for lessons.
Now you can form an equation.
Since you know it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid
You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.
Hope this helps!
Given :
Two vertical buildings 57 meters apart are 158 meters and 237 meters high.
To Find :
The angle of elevation from the top of the shorter building to the top of the taller building.
Solution :
Distance between height of building, h = 237 - 158 = 79 m.
Distance between these building , d = 57 m.
Now,

Therefore, the angle of elevation from the top of the shorter building to the top of the taller building is 54.19°.
Hence, this is the required solution.
Answer:
2 and 1/12
Step-by-step explanation:
you need to take 2 1/2 and convert it to the common denominator of 6
so 1/2 * 3 = 3/6. and 2*6 = 12. add the 12 and 3 to get 15/6. which is equivalent to 2 1/2
so multiply 15/6 * 5/6 and get 75/36 to get or 2 and 3/36. reduce down to 2 and 1/12