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Sati [7]
2 years ago
7

The function M(s) = 225 + 0.65s represents the material cost of manufacturing gardening scissors when s scissors are produced. T

he function L(s) = 54 + 1.15s represents the labor cost for producing s scissors. Which expression correctly represents the manufacturing cost per scissors?
Mathematics
1 answer:
Llana [10]2 years ago
3 0

Answer:

\frac{279 + 1.8s}{s}                                                        

Step-by-step explanation:

The  material cost of manufacturing gardening scissors when s scissors are produced : M(s) = 225 + 0.65s

The labor cost for producing s scissors: L(s) = 54 + 1.15s

So, total cost of producing s scissors =  M(s)+L(s)

                                                              =  225 + 0.65s+54 + 1.15s

                                                              =  279 + 1.8s          

So, total cost for s scissors =  279 + 1.8s    

So, manufacturing cost for 1 scissor=  \frac{279 + 1.8s}{s}                                                        

Hence the manufacturing cost per scissors is  \frac{279 + 1.8s}{s}                                                        

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Mister Rogers is fencing another new rectangular garden in his neighborhood. One side of the garden faces the road and needs to
Oksanka [162]

Answer:

length of the pretty side  and length of the side oppositte to the pretty side  =   37.91 ft

length of the other two sides  = 27.52 ft

Step-by-step explanation:

The mathematical problem is:

Max A = b1*h

subject to: 35*b1 + 18*(2*h + b2) <= 3000

Where

A: area of the garden

b1: length of the pretty side

b2: length of the side oppositte to the pretty side

h: length of the other two sides

Replacing with b1 = b2 and taking only the equality sign in the restriction (in the maximum all the money will be spent), we get:

35*b1 + 18*(2*h + b1) = 3000

35*b1 + 36*h + 18*b1 = 3000

53*b1 + 36*h = 3000

b1 = 3000/53 - (36/53)*h

Substituing in Area's formula  

A = (3000/53 - (36/53)*h)*h

A = (3000/53)*h - (36/53)*h^2

In the maximum, the derivative of A is equal to zero

dA/dh = 3000/53 - 2*(36/53)*h =

3000/53 - 72/35*h = 0

h = (3000/53)*(35/72)

h = 27.52 ft

then,

b1 = 3000/53 - (36/53)*27.52

b1 = 37.91 ft =b2

3 0
3 years ago
Points A and B lie on a circle centered at point O. If OA=5 and lenth of AB/circumference=1/4 what is the area of sector AOB? Us
MakcuM [25]
<h3>Given</h3>
  • arc AB of circle O is 1/4 of the circumference
  • radius of circle O is 5
  • pi is 3.14
<h3>Find</h3>
  • area of sector AOB
<h3>Solution</h3>

Since arc AB is 1/4 of the circumference, the central angle AOB will be 1/4 of a circle, so π/2 in radians. The area of a sector is given by

... A = (1/2)r²·θ

where θ is the central angle in radians and r is the radus.

The area is ...

... A = (1/2)·5²·π/2 = 25π/4

... A ≈ 19.625

The area of the sector is about 19.63 square units.

4 0
2 years ago
Please help see pic above
CaHeK987 [17]

Step-by-step explanation:

this is may help you this is my answer to your answer

5 0
2 years ago
A store sells three different packs of the same yogurt. Which pack is the best buy? Explain.
shtirl [24]

Answer:

$5.32

Step-by-step explanation:

I think its $5.32 because there is at least 6 yogurts in the pack, and its not to expensive as the first one. Plus it has 2 more yogurts then the third one.

(i am so sorry if this dosent make sense)

3 0
2 years ago
Question : Find if the coordinates given lie on the circles below: (a) Does (4,2) lie on the circle with equation
wel

Answer:

point lies on circle

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then point lies on circle.

(4 - 1)² + (2 + 2)² = 3² + 4² = 9 + 16 = 25 = right side

Then point (4, 2 ) lies on the circle

4 0
2 years ago
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