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Mrac [35]
3 years ago
12

Miranda is braiding her hair then she will attach beads to the braids she wants 1/3 of the beads to be red if the greatest numbe

r of beads that will fit on the braid is 12 what other fraction could represent the part of the beads that are red?
Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
8 0
2/6 because if I multiply the denominator and numerator by 2 it would equal 2/6.
Marianna [84]3 years ago
8 0

Answer: \frac{4}{12}\ and\ \frac{2}{6}


Step-by-step explanation:

Given: Miranda wants \frac{1}{3} of the beads to be red .

If the greatest number of beads that will fit on the braid is 12 , then the greatest number of red beads that will fit on the braid = \frac{1}{3}\times12=4

The fraction of red beads =\frac{\text{number of red beads}}{\text{maximum number of beads}}

⇒ The fraction of red beads =\frac{4}{12}

If we divide 2 from numerator and denominator it will look like

\frac{2}{6}

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These problems are called systems of equations. Basically you have two linear equations and you need to find the values for x and y. In other words, all these equation are lines and our answer will be the exact point that the pair of lines intersect. For example, if we get x=1 and y=2 the lines will intersect at point (1,2). Now that you have some background knowledge here comes the tricks and tactics kid.

We know that we can solve one variable equation easily. For example...

x+1=2

x=1 obviously

Cause we have two variables x and y it is not possible to find a solution. For example, in the equation x+y=10, x=1 when y=9 and x=2 when y=8. There is not correct answer.

So what can we do? We have to make a two variable equation into a one variable equation.

There are two ways to do this: substitution and elimination. I will create a sample problem and then solve it using both methods.

x+y=2

2y-y=1

3)  

-3x-5y=-7 -----> -12x-20y=-28

-4x-3y=-2 ------> -12x-9y=-6

 -12x-20y=-28

-(-12x-9y=-6)

---------------------

-11y=-22

y=2

-3x-5(2)=-7

-3x=3

x=-1

4) 8x+4y=12 ---> 24x+12y=36

7x+3y=10 ---> 28x+12y=40

 28x+12y=40

-(24x+12y=36)

---------------------

4x=4

x=1

8(1)+4y=12

4y=4

y=1

5) 4x+3y=-7

-2x-5y=7 ----> -4x-10y=14

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+(-4x-10y=14)

-------------------

-7y=7

y=-1

4x+3(-1)=-7

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6) 8x-3y=-9 ---> 32x-12y=-36

5x+4y=12 ---> 15x+12y=36

 32x-12y=-36

+(15x+12y=36)

--------------------

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x=0

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-3y=-9

y=3

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-3y-1.5+5y=-2

2y=-0.5

y=0.25

2x-2(0.25)=1

2x=1.5

x=0.75

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