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bearhunter [10]
3 years ago
8

Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (

1 point)
Select one:
a. Divide both sides by 6 and then add 2. The solution is x = 8.
b. Subtract 6 from both sides and then divide by 2. The solution is x = 8.
c. Add 6 to both sides of the equation and then divide by 2. The solution is x = 6.
d. Subtract 6 from both sides of the equation and then divide by 22. The solution is x = 16.
Mathematics
2 answers:
serg [7]3 years ago
8 0
You would subtract 6 from both sides and then divide by 2. So the solution would be x=8. So 'B'
aalyn [17]3 years ago
7 0
The correct answer is
A. Divide both sides by 6 and then add 2. The solution is x=8
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Step-by-step explanation:

Let's define the variables:

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C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

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Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

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P = 40 - 10 = 30

P = 30

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