Step-by-step explanation:
this is the answer key for that question and etc...
Multply both sides of the equation by 7.

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When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.
In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.
You can find counterexamples to disprove this claim. We have positive integers that are perfect square numbers; when we take the square root of those numbers, we get an integer.
For example, the square root of 1 is 1, which is an integer. So if y = 1, then the denominator becomes an integer and thus we get a quotient of two integers (since x is also defined to be an integer), the definition of a rational number.
Example: x = 2, y = 1 ends up with
which is rational. This goes against the claim that
is always irrational for positive integers x and y.
Any integer y that is a perfect square will work to disprove this claim, e.g. y = 1, y = 4, y= 9, y = 16. So it is not always irrational.
C
step by step explanation:
Answer:
a) 675 000
b) 685 000
Step-by-step explanation:
The population of a town is 680 000 correct to the nearest 10 000.
a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000
The lower bound is:
680 000-5000=675,000
Therefore the least possible population of the town is 675 000
b) We repeat the same process to find the upper bound
680 000+5000=685,000