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3 years ago

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Kevin, Michael and Darren all do their own laundry at home. Kevin does his laundry every 9 days, Michael every 10 days, and Darr

en every 12 days. If they all did their laundry today, in how many days will the three of them all do their laundry again on the same day

2 answers:

Art [367]3 years ago

5 0

Lowest common multiple of all three numbers = 180 so 180 days

babymother [125]3 years ago

5 0

It will be 180 days until they all do laundry on the same day again. I found this by finding the least common multiple of each number.

12 x 15 = 180
10 x 18 = 180
9 x 20 = 180

Hope this helps!

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Drupady [299]

A table of values can be used to represent variables that are directly proportional.

The complete table of proportions is:

$\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]$

Given that

$\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]$

Let:

<em /> $L \to$ <em> Letters</em>

<em /> $C \to$ <em> Cost</em>

<em />

Using proportional reasoning, we have:

$C = kL$

Where

<em /> $k \to$ <em> ratio of proportion</em>

For the first values of C and L, we have:

$C = kL$

$0.45 = k \times 10$

Divide both sides by 10

$k = 0.045$

So, the equation of proportion is:

$C = 0.045L$

<u>When C = 6.75, we have:</u>

$C = 0.045L$

$6.75 = 0.045L$

Solve for L

$L = \frac{6.75}{0.045}$

$L = 150$

<u>When L = 7, we have:</u>

$C = 0.045L$

$C = 0.045 \times 7$

$C = 0.315$

<u>When L = 1, we have:</u>

$C = 0.045L$

$C = 0.045 \times 1$

$C = 0.045$

<u>When L = 500, we have:</u>

$C =0.045L\\$

$C =0.045 \times 500$

$C =22.5$

<u>When C = 18.90, we have:</u>

$C = 0.045L$

$18.90 = 0.045L$

Solve for L

$L=\frac{18.90}{0.045}$

$L=420$

Hence, the complete table is:

$\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]$

Read more about proportions at:

brainly.com/question/21126582

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weqwewe [10]

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lorasvet [3.4K]

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