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Feliz [49]
2 years ago
11

4 workers can make 32 widgets in an hour. How many widgets can 5 workers make in 90 minutes?

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
6 0

Answer:5 worker can 60 widget in 90 minutes.

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Alecsey [184]
The answer if i understand correctly is 17x7x24=2,856 square inch
or thats what the calculator told me
3 0
3 years ago
every tenth visitor to an ice cream shop gets free sprinkler. every twelvth visitor gets free hot fudge. which visitor each day
DENIUS [597]


person number 60

10 20 30 40 50<u> 60</u>

12 14 36 48<u> 60</u>

It id in both of their times tables.<u />

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3 years ago
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What is 'sorry' in French?
Dima020 [189]
Sorry in French is pardon
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3 years ago
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0
2 years ago
Please help my sister needs to turn this in soon
alexandr402 [8]

Answer:

11,059

Step-by-step explanation:

If you take the combined elevation (18,152) and subtract the elevation of Snowy Mountain (7,093), you should get 11,059.

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