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Get a common denominator.

\(\frac{1}{3} - 2 =\frac{1}{3} - \frac{2}{1}=\frac{1}{3} - \frac{2*3}{1*3}=\frac{1}{3} - \frac{6}{3}=\frac{1-6}{3}=\frac{-5}{3}\)

area = ½ × base × height

Plug in the numbers for base and height.

area = ½ × 5 × 5

Just put that into a calculator to get that

area = 12.5 square units

Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times as much as the soft drink?

Let the cost of the soft drink = C   then the price of the sandwich was 3.5 times as much = 3.5C

And

C + 3.5C  = Total Cost

C + 3.5C  =   9

4.5C = 9    divide both sides by 4.5

C = 9/4.5  =  $2.00   for the soft drink

And  3.5C = 3.5(2.00)  = $7.00   cost of the sandwich

This is a math website. Please go to this website to talk about Undertale: 

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NO! GOD PLEASE NO! NNNNNOOOOOOOOOO

34/16  =   2 + 2/16  =  2 + 1/8  =  2.125  = 212.5%

Note

[ tan A + tan B ] / [ 1 - tanAtanB]   =  tan (A + B)

So

(tan(82)+tan(53))/(1-tan(82)tan(53))   =  tan (82 + 53)   =  tan ( 135) =   -1

just type pi in like this: Pi

There's also a button for it.

Just put 3.14. It should work like pi.

34/16

Plug this into a calculator to turn it into a decimal.

34/16 = 2.125

Multiply by 100 to turn it into a percent.

2.125*100 = 212.5%

48+5.10=5.58

Yay!! 

Half of one= 1/2

half of half= 1/4

half of that= 1/8

and on and on 

1/2*1/2=1/4. Think of it this way.

I cut the pizza in half, then I cut the half into another half. That's the same thing as 1/4. 

WolframAlpha confirms hectictar's answer :

http://www.wolframalpha.com/input/?i=5%2F8+-+2y%2F3+%2B+y-2%2F6+-+3y%2B1%2F144+%3E%3D++1+-+y+%2B+3y-2%2F36+%2B+7y%2F12+-+3y-4%2F16

Yay! Thanks!

555₁₀ = 2323₆      base 6

First I'm just going to simplify the left side:

\(\frac{5}{8} - \frac{2y}{3} +y-\frac{2}{6}-3y+\frac{1}{144} \\ \frac{5(18)}{144} - \frac{2y(48)}{144} +\frac{144y}{144}-\frac{2(24)}{144}-\frac{3y(144)}{144}+\frac{1}{144} \\ \frac{90-96y+144y-48+-432y+1}{144} \\\frac{43-384y}{144}\)

Next I will simplify the right side:

\(1-y+3y-\frac{2}{36}+\frac{7y}{12}-3y-\frac{4}{16} \\ \frac{144}{144}-\frac{144y}{144}+\frac{3y(144)}{144}-\frac{2(4)}{144}+\frac{7y(12)}{144}-\frac{3y(144)}{144}-\frac{4(9)}{144} \\ \frac{144-144y+432y-8+84y-432y-36}{144} \\ \frac{100-60y}{144}\)

Now put the two sides together:

\(\frac{43-384y}{144} \geq \frac{100-60y}{144} \\ 43-384y \geq 100-60y \\ -384y \geq 57-60y \\ -324y \geq 57 \\ y \leq -\frac{57}{324} \\ y \leq -\frac{19}{108}\)

That's what I got...I checked over it twice and didn't catch any errors, but it is possible that I made an error somewhere of course.

515/6   =  85 R 5

85/6   =    14 R 1

14/6 =       2 R  2

2/6 =            R  2

So   515₁₀   =  2215₆

Say you have the repeating decimal 0.333... repeating.

First let x equal the repeating decimal:

x=0.333...

we can now multiply this by 10 to get

10x=3.333...

now I can write 10x-x as follows

10x-x=3.333...-0.333...

Therefore

9x=3 => x=1/3

1/3 = 0.333...

You basically want to try arrange it so you eliminate the repeating decimal which enables you to write x as a fraction.

Also another double check.

Does 5/8 - 2y/3 + y-2/6 - 3y+1/144 (>= greater or equal) 1 - y + 3y-2/36 + 7y/12 - 3y-4/16 equal to y>=19/2
 

\(\frac{5}{8}-\frac{2y}{3}+y-\frac{2}{6}-3y+\frac{1}{144}\geq 1-y+3y-\frac{2}{36}+\frac{7y}{12}-3y-\frac{4}{16}=y \geq \frac{19}{2}\)