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coldgirl [10]
3 years ago
14

Will somebody please answer this question? I'm stuck and in a bit of a hurry. A surfboard shaper has to limit the cost of develo

pment and production to ​$ 215 per surfboard. He has already spent ​$ 30,240 on equipment for the boards. The development and production costs are ​$ 143 per board. The cost per board is 143x+30,240/x dollars. Determine the number of boards that must be sold to limit the final cost per board to $ 215.
Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:

  ≥ 420 boards

Step-by-step explanation:

Write the required relation between cost per board and "x" (the number of boards that must be sold).

  143 + 30240/x ≤ 215 . . . . . . . note that the first term is <em>not</em> 143x

Subtract 143

  30240/x ≤ 72

Multiply by x/72. This is a positive number because x is a positive number.

  30240/72 ≤ x

  420 ≤ x

At least 420 surfboards must be sold to limit the final cost per board to $215.

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Karen and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them
olga_2 [115]

Answer:

Amount of water in each balloon = 300 milliliter

Step-by-step explanation:

Given:

Amount of water used in balloon = 6 liter

Number of water balloon  = 20 balloon

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Computation:

Amount of water used in balloon = 6 x 1000

Amount of water used in balloon = 6,000 milliliter

Amount of water in each balloon = Amount of water used in balloon / Number of water balloon

Amount of water in each balloon = 6,000 / 20

Amount of water in each balloon = 300 milliliter

3 0
3 years ago
Mathieu is finding the x-intercepts of the function f(x)=x^2+4x+3. His world is shown below. (In the photo) The Answer is: (He s
navik [9.2K]

Answer:

X intercepts are points where a function intersects or cuts through the x axis where y=0.

Step-by-step explanation:

In the function given which is f(x) =x^2 +4x + 3 we see that this is a parabola of which when the graph is drawn it has a U shape so when finding x intercepts of this function it is those points on the function where the graph cuts the x axis and at those two points f(x)= 0, so here Mathieu had made a mistake of factorizing and equating the x intercepts for this function.

For finding the X intercepts let f(x) = 0

therefore 0= x^2 + 4x + 3  now we solve for x

0= (x+1)(x+3)  

(x+1)= 0 or (x+3)=0

therefore x=-1 or x=-3

now if you substitute these values onto the function they give f(x)= 0,

f(-1) = (-1)^2 + 4(-1) + 3 = 0

f(-3) = (-3)^2 + $(-3) + 3 =0

now let us look at Mathieus answer which is x+1 = x+3 yes these x values do give the same y value but they are not equal because if you can actually solve this further you would not get a defined answer. Both these are factors of the function but are not actually equal as the function would not be able to be drawn if this was the case.

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3 years ago
Read 2 more answers
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azamat

Answer:

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Step-by-step explanation:

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Sedbober [7]

Answer:

    c(x)=150+16.52x

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Explanation:

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Convert 18% to its decimal form, which is 0.18 and simplify the equation:

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Hence, calling the function c(x), it is:

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5 0
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Answer:1 1/4

Step-by-step explanation:

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3 years ago
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