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devlian [24]
3 years ago
13

A restaurant menu offers four main courses: grilled chicken, hamburger, hot dog, or pasta. The menu offers three side dishes: sa

lad, coleslaw, or fries. Lastly, the menu offers diners a selection of brownies, ice cream, or cookies as dessert. How many meal combinations are available?
Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

Answer:

36

Step-by-step explanation:

You simply multiply the number of options per each course of the meal and get 3*4*3=12*3=36

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62 is 90.5% of what number?
Reptile [31]
68.5. You take 62 and divide it by the percentage as a decimal, .905. 62 / .905 = 68.5.
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3 years ago
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What is the area of parallelogram ABCD? ..
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Answer:

20 square units

Step-by-step explanation:

B * H

height = 5

base = 4

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3 years ago
The sale price of the new car was $14,500. The sales tax rate was 6.5 percent. What was the sale tax on the car?
elixir [45]
$942.50.

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3 years ago
Hi. Sorry this is bad quality. <br><br> What is the slope of the line on the graph?
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5 0
2 years ago
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
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