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My name is Ann [436]
3 years ago
7

Tuan is playing a game, but the spinner is incomplete. If the numbers in the sections of the spinner represent the probabilities

of spinning each section, help him figure out the fraction for the missing section of the spinner.
1/4,1/4,1/5
Mathematics
1 answer:
ioda3 years ago
8 0

The sum of the numbers should total to 1. Let us say that x is the missing number, therefore:

x + ¼ + ¼ + 1/5 = 1

x = 1 – ¼ - ¼ - 1/5

The numbers should have similar denominator:

x = 20/20 – 5/20 – 5/20 – 4/20

x = 6/20

<span>x = 3/10</span>

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C

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = \frac{1}{x+5} - 1 ( add 1 to both sides )

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(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = \frac{1}{y+1} ( subtract 5 from both sides )

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Change y back into terms of x with x = f^{-1} (x) , then

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Solve the system of equation below x+y+z=2 x-y+5z=6
mamaluj [8]
X + y + z = 2
x - y + 5z = 6

cancelando +y com -y:

x + z = 2*(-5)
x + 5z = 6

-5x -5z = -10
...x +5z = 6
---------------------
-4x = -4 *(-1)
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x = 4/4
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x + z = 2
1 + z = 2
z = 2 - 1
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x + y + z = 2
1 + y + 1 = 2
2 + y = 2
y = 2 - 2
y = 0 

S: {x, y, z} = {1, 0, 1}


8 0
3 years ago
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