Each time you fold a paper it will double the amount of parts. When you think about it, it's just multiplying by 2 a bunch of times.
One fold is 2 times 1, which is 2.
The second fold is 2 times 2, which is 4.
The third fold is 4 times 2, which is 8.
Using this process, we can simplify that into exponents. If the amount of times you fold is x and the parts double for each fold, then the amount of parts can be represented by:

So if the amount of parts is given and we need the amount of folds, just keep doubling until you get to 64. The amount of times you doubled is the number of times Sylvie folded.
Later you will learn that the opposite of an exponent is a logarithm, which would look like this:

But don't worry about that yet.
Hello there!
By a over 6, I assume you mean a / 6? And by the wording, I assume 3 is outside of the fraction.
For the three outside the fraction,
(a / 6) + 3
(48 / 6) + 3
8 + 3
= 11
Hoped this help! If you have any more questions or need any more assistance, don't hesitate to friend me and message me! I can provide a mini lesson and a in-depth explanation as to what I did and why.
1. 22 - 3x + 7x = 4(x + 5)
22 - 3x + 7x = 4x + 20
<u> +3x +3x +3x </u>
22 + 10x = 7x + 20
<u> -7x -7x </u>
22 + 3x = 20
<u>-22 -22</u>
<u>3x</u> = -<u>2</u>
3 3
x = -2/3
2. 6(2x - 3) = 3(3 - 5)
12x - 18 = 3(-2)
12x - 18 = -6
<u> +18 +18</u>
<u>12x</u> = <u>12</u>
12 12
x = 1
3. 6x - 14 = 2(3x - 7)
6x - 14 = -3x
6x - 14 = 2(-7)
6x - 14 = -14
<u> +14 +14</u>
<u>6x</u> = <u>0</u>
6 6
x = 0
4. 6x + 3(x - 4) = 8(x - 3)
6x + 3x - 12 = 8x - 24
9x - 12 = 8x - 24
<u>-8x -8x </u>
x - 12 = -24
<u> +12 +12</u>
x = -12
Answer:
The line given is equal to y=-x+7 (Through rearranging)
To find the new line, we substitute the given coordinates (5,8) in the equation without the given y-intersect (+7):
-8=-5+c
c=-3
The line parallel to x+y=7 that passes through the point (5,-8) is y=-x-3
Answer:
Total amount Tara earned for babysitting for h hours = 8h
Step-by-step explanation:
Amount earned per hour for babysitting = $8.00
Number of hours of babysitting = h hours
Total amount Tara earned for babysitting for h hours =
Amount earned per hour for babysitting × Number of hours of babysitting
= 8 × h
= 8h
Total amount Tara earned for babysitting for h hours = 8h