Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours. The plant manager knows the
two machines will take at least 6 hours, as represented by the inequality:
1/x+1/x-9 more than or equal to 1/6
Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable completion times of
machine 1?
1/x+1/x-9 more than or equal to 1/6
Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable completion times of
machine 1?
2 answers:
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Answer:
The farmer have at first <u>202</u> chickens.
Step-by-step explanation:
Given:
A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.
Now, to find the chickens farmer have at first.
Let the chickens be
And, the ducks be
<em>As, the farmer had twice as many chickens as ducks on his farm.</em>
So, ......(1)
<em>As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.</em>
According to question:
Substituting the value of from equation (1) we get:
<em>By cross multiplying we get:</em>
<em>Adding both sides 332 we get:</em>
<em>Subtracting both sides by </em><em> we get:</em>
<em>Dividing both sides by 3 we get:</em>
Now, to get the number of chickens substituting the value of in equation (1):
Therefore, the farmer have at first 202 chickens.
<h3>Hello!</h3>
In order to find the vertex of a parabola, we use the following formula:
Remember, a parabola looks like so:
Now we know what a and b stand for.
In this case, b is -4, and a is -1:
Simplify:
Divide:
- Hope everything is clear.
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- Enjoy your day!
- Always remember: Knowledge is power!