What is 0.121212 expressed as the quotient of two integers in simplest form?

Answers

Answer 1

Answer: 4/33

the way i do it, is i want 12 to be recurring, so i do 12/100, then i take away one from the denominator, so i get 12/99 = 0.121212.....

similarly, if i wanted 0.123123123,

i could do 123/1000 then take away one from the denominator to get 123/999 and that should give us 0.123123123123

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Solve using substitution

x = y +3
-3x + 3y = 6

Answers

$\large\bf{\underline{\underline{\mathfrak{Question}:}}}$

Solve using substitution

x = y +3,

-3x + 3y = 6

$\large\bf{\underline{\underline{\mathfrak{Solution}:}}}$

Giventhat,

${\small{\rm{x=y+3}}}$

Equation:

${\small{\rm{-3x + 3y = 6}}}$

So,

By substituting the value of xthat is y+3 in the given equation we get,

$:{\Longrightarrow{\small{\rm{-3(y+3) + 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{-3y-9+ 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{\cancel{-3y}-9\cancel{+3y} = 6}}}}$

$:{\Longrightarrow{\small{\rm{x = 6+9}}}}$

$:{\Longrightarrow{\small{\rm{x = 15}}}}$

${\therefore{\small{\rm{Value\:of\:x = 15}}}}$

Now to find the value of Y use the value of x in the givenequation.

$:{\Longrightarrow{\small{\rm{-3(15) + 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{-45+ 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{3y = 6+45}}}}$

$:{\Longrightarrow{\small{\rm{3y = 51}}}}$

$:{\Longrightarrow{\small{\rm{y =(51)/(3)}}}}$

$:{\Longrightarrow{\small{\rm{y =17}}}}$

${\therefore{\small{\rm{Value\:of\:y = 17}}}}$

Forverification:

$:{\Longrightarrow{\small{\rm{-3(15) + 3(17) = 6}}}}$

$:{\Longrightarrow{\small{\rm{6= 6}}}}$

Henceverified!

There are two bottles of tomato ketchup, one weighs 720 g and costs £1.79, while the other weighs 460 g and costs £1.00. Which bottle gives better value for money? (Hint: you have to use ratios)

Answers

$To\ find\ better\ value\ for\ money\ you\ can\ find\ price\ of\ 100g:\n\n720:100=72\n460:100=46\n\n1.79:72=0.025\n1.00:46=0.022\n\n460g\ ketchup\ is\ more\ profitable.$

The better value would be the one that weighs 720 g and costs $ 1.79.

What is √49 times 7?

Answers

Well,
First solve the square root which is 7
Funny enough, this makes 7 * 7 = 49
So the answer is 49!
Hope I helped!

The square root of 49 is 7 so 7×7=49 so the answer is 49.

What is the mathematical name for a can of soup.

Answers

The mathematical name for a can of soup is a cylinder.

A can of soup is the same shape of a cylinder.

Take away 0 from any number tell the rule you discovered

Answers

this is the fundamental zero additive rule
x - 0 = x
which means that for the set of real numbers, there exist a number such that if added (or subtracted) from any other will not affect such number.

Find The Midpoint of the coordinate system P( -4 , 4 ) and (4,8)

Answers

Answer:

Step-by-step explanation:

(-4+4)/2 = 0/2 = 0

(4+8)/2 =12/2= 6

(0, 6)

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