12>-4y+7 I cant figure it out

Mathematics

1 answer:

Brut [27]3 years ago

6 0

Answer:

y > -5/4

Step-by-step explanation:

12 > -4y + 7

Subtract 7 from both sides:

5 > -4y

Divide both sides by -4 (remember to flip the sign when multiplying or dividing by a negative number):

-5/4 < y

Here's another way to solve it. First, add 4y to both sides.

12 + 4y > 7

Subtract 12 from both sides:

4y > -5

Divide by 4:

y > -5/4

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Answer: 15/91 which is choice B

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There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

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Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.