Answer:
The inequality representing the time taken by the entire cycle is:

Step-by-step explanation:
The time taken to complete one cycle of a manufacturing machine is no longer than 3 minutes.
It is provided that the manufacturing machine has two processes.
One of them is repeated 4 times and the second only once.
Assume that the variable <em>x</em> represents the time taken to complete the first process once.
Then the time taken to complete the first process 4 times would be, 4<em>x</em>.
Also assume that the variable <em>y</em> represents the time taken to complete the second process.
Then the inequality representing the time taken by the entire cycle is:

Consider the graph below representing the above equation.
<u>Answer:</u>
<h2>
18.38</h2>
<u>Explanation:</u>
since this triangle is a right-angled triangle and one its angles equals 45° then it's an <u>isosceles right triangle</u> which means that the side opposite 45° <em>(the side to the left)</em> is equal to 13 too.
so according to pythagoras theorem c = √(a²+b²)
x =√(13²+13²)
x = √(169+169)
x = √338
x ≈ 18.38
<em>note:</em><em> in the question it's mentioned to find y! and I believe it is just an error! it's about to find x and that's more resonable!</em>
Answer: 
<u>Simplify both sides of the equation</u>
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<u>Flip the equation</u>
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<u>Subtract 6 from both sides</u>
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<u>Multiply both sides by 3/(-8)</u>
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<u>Turn 9/5 into a Mixed Number</u>
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What’s the x your trying to find