A swimming pool's large drain will empty the pool in 3 hours while its smaller drain takes 6 hours. If both drains are opened, h
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.
Answer:
Applying Quotient and power rule. Graphically, for x>0 both curves coincide.
Step-by-step explanation:
1) Firstly, by applying the Quotient and then the Power Rule, we have a subtraction of the argument and, finally the exponent turns to be the coefficient. As it follows:
2) Check the graph below to see this equivalence. to see x>0 they both coincide.
Answer:
A. (−3,5)
Step-by-step explanation:
The rule for dilation by scale factor k is given by:
The given point is P(-3,5) and the scale factor is k=1
We substitute the point and the scale factor into the rule to get:
This gives us:
The correct answer is A