9514 1404 393
Answer:
x - 4
Step-by-step explanation:
The expression simplifies to ...
For x ≥ 4, the argument of the absolute value function is non-negative, so it remains unchanged. The simplified expression is ...
x - 4 . . . . for x ≥ 4
The perimeter of a rectangle is 38 inches, and its area is 70 square inches. Find the length and width of the rectangle.
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>
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
Therefore,
Now replace the 7x in the first equation with 5y - 12:
(substitute in 7x = 5y - 12)
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
(substitute in y = 1)
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<u>Answer:</u>
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