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2 years ago

Please help! All in the image:

Mathematics

2 answers:

charle [14.2K]2 years ago

8 0

Answer:

66 cm^2

Step-by-step explanation:

By equating the area we get x = 6.

spin [16.1K]2 years ago

6 0

Answer:The area of the inner rectangle is 66 cm^2

Step-by-step explanation:

The diagram is that of a rectangle with a certain thickness. The area of the outer rectangle is given as 99cm^2. The length I given as (x + 5) and the width is given as x + 3.

The formula for the area of a rectangle is expressed as length, ×width,w. Therefore,

(x + 5)((x + 3) = 99

x^2 + 3x + 5x + 15 = 99

x^2 + 3x + 5x + 15 - 99 = 0

x^2 + 8x - 84 = 0

x^2 + 14x - 6x - 84 = 0

x(x + 14) - 6(x + 84) = 0

(x + 14)(x - 6) = 0

x + 14 = 0 or x - 6 = 0

x = - 14 or x = 6

x cannot be negative so x = 6 cm

The length of the inner rectangle is 2x - 1 = 2×6 - 1 = 12 - 1 = 11 cm.

The width of inner rectangle is x = 6 cm. The area of the inner rectangle is

11×6 = 66 cm^2

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lubasha [3.4K]

Answer:

Additional 26 pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

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Now, each pendant is sold at $13.50

So, total money made by selling $x$ pendants = $13.50 $\times$ $x$

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$13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}$

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3 years ago

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nasty-shy [4]

Answer:

1. $3,960,000

2. $3,840,000

3. Sell the logs.

Step-by-step explanation:

The questions are incomplete:

1. What is the contribution to income from selling the logs for log cabin construction?

2. What is the contribution to income from processing the logs into lumber?

3. Should Jack’s continue to sell the logs or process them further into lumber?

1. The contribution income is the total income generated by the sales of the rough logs. Each one contributes with $495.

Contribution to income (log cabin construction) = $495*8,000 = $3,960,000

2. In this case, we have to calculate what is the profit after processing each board, then multypling by the amount of boards per log and lastly multiplying by the total amoun of logs.

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3. Jack should continue to sell logs for cabin construction because the profit per log is higher than for the processed board ($495/log versus $480/log).

4 0

2 years ago