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Ronch [10]
3 years ago
15

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation.
Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

  1. So profit is denoted by Y
  2. Selling price is denoted by X

Hencd we have Y= X + B

Where Be can be a constant for example how much he already sold or etc.

Rate positively and give brainlist

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Direct variation or not a direct variation<br><br> y=5/x
MrRissso [65]

Answer:

not direct variation

Step-by-step explanation:

The equation for x and y in direct variation is

y = kx ← k is the constant of variation

y = \frac{5}{x} is not in this form, thus not direct variation.

The equation for x and y varying inversely is

y = \frac{k}{x} ← k is the constant of variation

y = \frac{5}{x} is in this form and represents inverse variation

7 0
3 years ago
A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each co
Stells [14]

Volume of a rectangular box = length x width x height<span>

From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>

<span>
where x is the height of the box or the side of the equal squares from each corner and turning up the sides

V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x

To maximize the volume, we differentiate the expression of the volume and equate it to zero.

V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>

<span>x^2 - 50/3x + 50 = 0

Solving for x,
x1 = 12.74 ;      Volume = -315.56  (cannot be negative)
x2 = 3.92 ;      Volume = 1056.31

So, the answer would be that the maximum volume would be 1056.31 cm^3.
</span><span>
</span>
6 0
3 years ago
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 175 nautical miles?
MrMuchimi

Answer:

323.75 km

Step-by-step explanation:

185/100 = 1.85 km per nm

1.85 * 175 = 323.75 km

3 0
3 years ago
) Himari is solving the equation 4 (x - 3) = 16. Her first step is 4x - 12 = 16.
olganol [36]
I think it’s only 1 and 2.
6 0
2 years ago
Read 2 more answers
A comic-strip writer churns out different numbers of comic strips each day. The writer logged the number of comic strips he wrot
Nataly_w [17]
1st Data set: <span>1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8

mean: 3.5
median: 3

2nd Data set: </span><span>1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 8

mean: 3.78
median: 3.5

difference in mean: 3.78 - 3.5 = 0.28
difference in median: 3.5 - 3 = 0.50</span>
4 0
3 years ago
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