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zimovet [89]
3 years ago
13

Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he

Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer: n-4(32.5) > 300;n > 430tep-by-step explanation:

Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

the profit he makes is equal to the amount he is paid - the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

n-4(32.5) > 300;n > 430tep-by-step explanation:

given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

The minimum profit = 300 + 130 = $430

n-4(32.5) > 300;n > 430 430

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Answer:

Length= 19cm

Width= 9cm

Step-by-step explanation:

let the length of the rectangle be L cm and its width be W cm.

Perimeter of rectangle= 56cm

2L +2W= 56

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L +W= 28

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Susbt. (1) into (2):

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28W -W²= 171 <em>(</em><em>expand</em><em>)</em>

W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>

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W-19=0 or W-9=0

W= 19 or W= 9

Subst into (1):

L=28 -19 or L= 28 -9

L=9 or L= 19

Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.

Therefore its length is 19cm and its width is 9cm.

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