when Sally picks any number between 1 and 20, doubles it, adds 6, divides by 2 and subtracts 3, she always gets the number she started with. why?

Answers

Answer 1

Answer: lets say number is x

doubles it (2x)
adds 6 (2x+6)
divide it by 2 (2x+6=2(x+3) so 2(x+3) divided by 2=x+3)
subtract 3 (x+3-3=x)

becasue math is fun, brah

Answer 2

Answer: I think it might be because 2 and 3 are factors of 6.

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How many oranges are in 7/10 and divide that by 9/11

Answers

Step-by-step explanation:

I would say there are 7 oranges out of ten, ummm and

7/10 divided by 9/11

=77/90

(not really sure what your asking)

Wyatt room is a rectangular with a perimeter of 40 feet. the width of room is 8 feet .what is the length of the room

Answers

width= 8ft
lenght=x
Perimeter of a rectangle=2 length + 2 width

Therefore:
2x+2(8 ft)=40 ft
2x+16 ft=40 ft
2x=40 ft-16ft
2x=24 ft
x=24 ft/2
x=12 ft

Answer: the lenght of the room will be 12 ft.

perimiter=2(legnth+width)
perimiter=40
width=8
40=2(legnth+8)
divide both sides by 2
20=legnth+8
minus 8 both sides
12=legnth

legnth=12 feet

What is 3.25 repeating as a fraction

Answers

I assume you mean 3.25 repeating as in the .25 repeating, not just the 5 or something like that. Anyways, here's the solution:
Let x = 3.25 repeating
100x = 325.25 repeating on the 0.25 (you can do this by just moving the decimal place back 2 times, and since repeating decimals go on forever, it's like you just added another "2" and "5" to the front right behind the 3. But it is still mathematically correct. Anyways, we subtract 1x from both sides, but on the right side of the equation, we actually substitute the value of x in, so it would be
100x-x on the left, and
325.25 repeating - 3.25 repeating on the right side.
On the left, 100x becomes
99x
and on the right side, the repeating decimals cancel out to give you
322 (subtracting the 3 still)
so we currently have
99x=322
divide both sides by 99 to get
x = 322/99
which cannot be simplified, so the final fraction is
$(322)/(99)$
or
$3 (25)/(99)$

What is 0.8 as a fraction in simplest form

Answers

0.8=8 divided by 10= 8/10 =4/5

4/8 is 0.8 =80% this keeps conversting

What percentage of Coach passengers did not check bags

Answers

Answer:

35.2%

Step-by-step explanation:

Add all of the passengers up for the total.

10 + 81 + 14 + 57 = 162

The fraction for how many Coach passengers that did not check their bags is:

57/162

Simplify to a decimal and multiply by 100 to get percent.

Answer: 41.3

Step-by-step explanation:

How do you find the radius of a sphere when you know the area

Answers

Since the area formula is pi times radius to the second power, then just plug in the things you know. for ex: The area is 314, then work backwards and divide 314 by pi which equals 100 then unsquare it which is 10 because 10*10=100. So the radius is 10

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