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fgiga [73]
2 years ago
7

A drawing of a surfboard in a catalog, it shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/3 inch

length from the drawing corresponds to 3/8 foot of the actual surfboard.
Mathematics
1 answer:
Bond [772]2 years ago
4 0

Answer:

9.5 feets

Step-by-step explanation:

Length of drawing = 8 4/9 inches

Scale : 1/3 inch in drawing = 3/8 actual length

Length of drawing / drawing scale

8 4/9 = 76/9 inches

Number of 1/3 inches in total length of drawing :

76/9 ÷ 1/3

76/9 * 3 / 1

(76*3) /(9*1) = 228 /9 = 9 3/9 = 9 1/3

9 1/3 * 3/8 foot

(228 / 9) * (3 /8)

(228/3) * (1/ 8)

228 / 24

= 9.5 feet

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A store bought a dining room table at a cost of $478 and marked it up 150%. Later on, the
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$286.80

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3 years ago
The Scooter Company manufactures and sells electric scooters. Each scooter cost $150 to produce, and the company has a fixed cos
jeka94

The function that represents the Scooter Company's total profit is given by:

P(x) = -2x² + 250x - 2,000.

<h3>How to calculate the profit function?</h3>

The profit function is calculated by the <u>revenue function subtracted by the cost function</u>, hence:

P(x) = R(x) - C(x).

In this problem, we have that:

  • The revenue function is: R(x) = 400x - 2x².
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Hence the profit function is:

P(x) = R(x) - C(x).

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More can be learned about profit functions at brainly.com/question/25274969

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3 0
1 year ago
A company sells widgets. The amount of profit, y, made by the company, is related to
tiny-mole [99]

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The amount of profit <em>y</em> made by the company from selling each widget at <em>x</em> price is modeled by the equation:

y=-x^2+72x-458

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the <em>x-</em>coordinate of the vertex. This is given by the formula:

\displaystyle x=-\frac{b}{2a}

In this case, <em>a</em> = -1, <em>b</em> = 72, and <em>c</em> = -458. Substitute and evaluate:

\displaystyle x=-\frac{72}{2(-1)}=36

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

5 0
2 years ago
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