Solve the following simultaneous linear equations by the substitution method.
1 answer:
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Answer:
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
Correct statement, question and data:
The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the Southern Ocean?
Please see the table attached.
Source:
Question that can be found at mathpractice101
Step-by-step explanation:
Let's answer the question, this way:
Depth of the Southern Ocean = x
For solving x, we have:
(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094
10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)
33.23 + x = 40.47
x = 40.47 - 33.23 (Subtracting 33.23 at both sides)
<u>x = 7.24</u>
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
<u>Given</u>:
The given equation is
We need to determine the approximate value of q.
<u>Value of q:</u>
To determine the value of q, let us solve the equation for q.
Hence, Subtracting on both sides of the equation, we get;
Subtracting both sides of the equation by 2q, we have;
Dividing both sides of the equation by -1, we have;
Now, substituting the value of , we have;
Subtracting the values, we get;
Thus, the approximate value of q is 0.585
Hence, Option C is the correct answer.