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Sati [7]
3 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]3 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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sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

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Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
A square has a perimeter of 52cm , what is the area ?
UNO [17]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The area is 169 square cm.

Find the value of each side (a square has 4 sides so divide by 4 ):

52/4 = 13

To find the area of a square, you only need 2 sides so multiply 2 sides:

13 x 13 = 139

Area = 139 square cm

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

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4 0
3 years ago
Please help, thank you!!
julsineya [31]

Answer:

Step-by-step explanation:

Givens

  • Triangle
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  • Height = 12 inches

Formula

A = Base * height / 2

Solution

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Answer:

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Alina [70]

Answer:

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Step-by-step explanation:

Denote the events as follows:

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Compute the probability of a positive test result as follows:

P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22

Compute the probability of a person having the disease given that he/she was tested positive as follows:

P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

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