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Crazy boy [7]
3 years ago
6

Which of the following is the solution for 7 - 4x ≥ 35 ?

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.

7 - 4x ≥ 35
subtract 7 from both sides

-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative

x ≤ -7

CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35

ANSWER: x ≤ -7

Hope this helps! :)
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Step-by-step explanation:

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Ramon is playing a game in which he must pull two blocks out of a bag containing red and yellow blocks. He cannot look, and he c
Nimfa-mama [501]
A) \frac{x(x+4)}{(2x+4)(2x+3)}
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Explanation
A) Let x = the number of yellow blocks.  Then x+4 = the number of red blocks, and x+x+4=2x+4 is the total number of blocks.

The probability of choosing a red block first would be
\frac{x+4}{2x+4}
since there are x+4 red blocks out of 2x+4 total blocks.

The probability of choosing a yellow block after the red block would be 
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since there are x yellow blocks, and after 1 is chosen, there are 2x+3 total blocks remaining.

This gives the total probability of 
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B) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a red block first would be 10/16, and the probability of getting a yellow block after the red block would be 6/15.  Together this gives us
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C) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15.  Together this gives us
6/16(5/15) = 30/240 = 1/8 = 0.125 = 12.5%
6 0
3 years ago
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