Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7. 20 per
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The biggest remainder obtained by dividing 2015 by either 1, 2, 3,
4,...,1000 is the option;
(C) 671
<h3>How can the biggest remainder be found?</h3>The given number Maria divides is 2015
The divisors = 1, 2, 3, 4,..., 1000
Required:
The biggest remainder Maria noted down.
Solution:
From remainder theorem, we have;
p(x) = (x - a) × q·(x) + r(x)
Where;
r(x) = The remainder
q(x) = The quotient
(x - a) = The devisor
Which gives;
Therefore;
The remainder is largest when both and (x - a) are large
is largest when the quotient changes to the next lower
digit and the divisor is not a factor.
By using MS Excel, we have, at 672, the remainder is found as follows;
At 672, ≈ 0.999, which when multiplied by 672, gives
the biggest remainder of 671, which is the biggest remainder.
- The biggest remainder obtained by dividing 2015 by either 1, 2, 3, 4,...,1000 is <u>(C) 671</u>
Learn more about the remainder theorem here:
Given:
The sequence is
436, 218, 109, 54.5, 27.25,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
436, 218, 109, 54.5, 27.25,...
It is a GP because the two consecutive terms have common ratio.
Here,
First term : a=436
Common ratio : d =
=
=
Now, the explicit formula for a GP is
Where, a is the first term and r is the common ratio.
Putting a=436 and r=0.5, we get
Therefore, the correct option is c.
So the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4? let's see.
you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4 and stop there.
then you'll notice that 12/24 is really 2/4 in disguise.
you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4 and stop there.
then you'll notice that 12/24 is really 2/4 in disguise.