Arla and kal both work in jobs they get paid by the hour in their first week on the job they each worked 40 hours and together t
1 answer:
Answer:
Arla - $15, Kal - $17.5
Step-by-step explanation:
Let $x be Arla's hourly wage and $y be Kal's hourly wage.
1. In the first week on the job they each worked 40 hours and earned $(40x+40y) together. Their total earnings were $1300, so
40x+40y=1300.
2. In the second week on the job business was slow so Arla worked 20 hours and earned $20x, Kal worked 16 hours and earned $16y, $(20x+16y) in total. Their total pool earning was $580, so
20x+16y=580.
3. Solve the system of two equations:
Subtract them:
Then
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Answer:
is the sum of positive integers between
(inclusive) and
(inclusive) that are not multiples of
and not multiples
.
Step-by-step explanation:
For an arithmetic series with:
as the first term,
as the last term, and
as the common difference,
there would be terms, where as the sum would be
.
Positive integers between (inclusive) and
(inclusive) include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
.
Similarly, positive integers between (inclusive) and
(inclusive) that are multiples of
include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
Positive integers between (inclusive) and
(inclusive) that are multiples of
include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
Positive integers between (inclusive) and
(inclusive) that are multiples of
(integers that are both multiples of
and multiples of
) include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
.
The requested sum will be equal to:
- the sum of all integers from
to
,
- minus the sum of all integer multiples of
between
and
, and the sum integer multiples of
between
- plus the sum of all integer multiples of
between
That is:
.
Answers:
1. X= 0
2. X= 0
3. X=3
You can use this method to solve them step by step, hope it will help!
1. X= 0
2. X= 0
3. X=3
You can use this method to solve them step by step, hope it will help!