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Solnce55 [7]
2 years ago
5

As seen in the diagram below, Hawa is building a walkway with a width of a feet to go

Mathematics
2 answers:
slega [8]2 years ago
7 0

Answer:

8 feet

Step-by-step explanation:

you have to calculate :(19+2x)(6+2x)=770

you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS

kompoz [17]2 years ago
5 0

Answer:

x= \frac{-25}{4}+\frac{1}{4}  \sqrt{3705}  or  x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}

Step-by-step explanation:

So first you need to find the area of the swimming pool:

19*6 = 114

Next you add the area of the swimming pool and the area of the walkway:

114 + 770 = 884

After this you solve for x using this equation:

(19 +2x) * (6 + 2x) = 884

This would normally find the area of the whole swimming pool area and the walkway but because we know that we can use it to solve for x.

The step-by-step is this:

4x^{2} +50x+114=884

4x^2+50x+114-884=884-884

 4x^2+50x+114-884=0

Now we'll use the quadratic formula to simplify it farther:

x= \frac{-(50) + \sqrt{(50)^2-4(4)(-770)}  }{2(4)}

x=\frac{-50 + or - \sqrt{14820} }{8}

x= \frac{-25}{4}+\frac{1}{4}  \sqrt{3705} or x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}

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A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

What will be the company's total expenses and revenues?  <u>    $1755  for each   </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

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2 years ago
The perimeter of a rectangle is 44. The length is 5 less than double the width. What is the length?
OleMash [197]

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3 years ago
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