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Alekssandra [29.7K]
3 years ago
9

Lena won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 7 rings, 1 came

ra, and 1 headset.
(a) Find the odd against Lena winning a headset.
(b) Find the odds in favor of Lena winning a headset ​

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

(b) Find the odds in favor of Lena winning a headset ​

Step-by-step explanation:

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A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3
ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y =  0.35(50)  

Solve the first equation for one variable...

x = 50 - y             (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5      (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

  -0.15y = -2.5

      y = 16.66666667

        y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

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3 years ago
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Answer:

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2x + 10 &lt; 24 or -8x + 8 &lt; -56
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Answer:

Union of inqualities:

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(not sure if this helps or not sorry!)

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Step-by-step explanation:

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