Answer:

Step-by-step explanation:
<u>Convert a Repeating Decimal to a Fraction
</u>
We need to convert the following decimal to a fraction:

Let's call x to the given number:

The number has two repeating (periodic) decimals, thus we multiply by 100:

Note the decimals continue to repeat exactly like the original number.
Subtracting both expressións, the repeating decimals are simplified:

Operating:
99x=-37
Dividing by 99:

The fraction cannot be simplified, thus:

I will draw a place value chart on paper than write the numbers
Answer:
x = 50
R = $2500
Step-by-step explanation:
Given in the question a quadratic equation,
−x² + 100x
To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x
The value of -b/2a tells you the value x of the vertex of the function
−x² + 100x
here a = -1
b = 100
Selling price = -(100)/2(-1)
= 50
R = −(50)² + 100(50)
= 2500
The answer is 7 cups of water are needed for 21 cups of flour.
Shown work:
1 cup of water=3 cups of flours
? Cup of water=21 cups of flours
21 divided 3=7
1 multiply by 7= 7 cups of water needed
12,500 / 100 = 125 125 x 4.5 = 562.5 562.5 x 4 = 2250
2250 + 12,500 = 14,750 He paid back a total of $14,750. Hope this helps :)