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Svet_ta [14]
3 years ago
11

Solve the following equation for q. 8q + 4p + 4 = 4q – 8.

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

a. q= -p - 3

Step-by-step explanation:

8q+ 4p + 4= 4q - 8

8q (- 8q) + 4p + 4 = 4q (-8q) -8

4p +4 = -4q -8

4p + 4 (+8) = -4q -8 (+8)

4p + 12 = -4q

(4p + 12)/-4 = (-4q)/-4

-p -3 = q

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In the summertime your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he act
Vitek1552 [10]
a) The total monthly cost is the sum of the fixed cost and the variable cost. If q represents the number of cones sold in a month, the monthly cost c(q) is given by 
   c(q) = 300 + 0.25q

b)
If q cones are sold for $1.25 each, the revenue is given by
   r(q) = 1.25q

c)
Profit is the difference between revenue and cost.
   p(q) = r(q) - c(q)
   p(q) = 1.00q - 300
. . . . . . slope-intercept form

d)
The equation in part (c) is already in slope-intercept form.
   q - p = 300
. . . . . . . . . . . . standard form
The slope is the profit contribution from the sale of one cone ($1 per cone).
The intercept is the profit (loss) that results if no cones are sold.

e) With a suitable graphing program either form of the equation can be graphed simply by entering it into the program.
   Slope-intercept form. Plot the intercept (-300) and draw a line with the appropriate slope (1).
   Standard form. It is convenient to actually or virtually convert the equation to intercept form and draw a line through the points (0, -300) and (300, 0) where q is on the horizontal axis.

f) Of the three equations created, we presume the one of interest is the profit equation. Its domain is all non-negative values of q. Its range is all values of p that are -300 or more.

g) The x-intercept identified in part (e) is (300, 0). You need to sell 300 cones to break even.

h) Profit numbers are
   425 cones: $125 profit
   550 cones: $250 profit
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7 0
3 years ago
The truck's tank is a stainless steel cylinder. Find the surface area of the tank. Round your answer to the nearest hundredth.
Feliz [49]

Answer:

Area of the truck tank is 1356.48ft^2

Step-by-step explanation:

It is given height of the cylinder h = 50 ft

Radius of cylinder is r = 4 ft

Surface area of the cylinder is equal to

A=2\pi rh+2\pi r^2

Now putting the value of r and h

A=2\times 3.14\times  4\times 50+2\times 3.14\times  4^2

=1356.48ft^2

Therefore area of the truck tank is 1356.48ft^2

8 0
3 years ago
Bill and his dad are building a deck on the back of their house. The scale on the building plan is 1 in. = 4 ft. If the length o
choli [55]

Answer:

14 feet

Step-by-step explanation:

4 x 3 = 12ft

4 / 2

2

2 + 12

answer is 14 ft

8 0
2 years ago
Evaluate the square root of 24-x when x is 6
Romashka [77]
<span>√24-x
=</span><span>√24-6
</span>=<span>√18
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5 0
2 years ago
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5 x 5 is your answer
Have a great day
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