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blsea [12.9K]
1 year ago
12

PLEASE HELP! A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price c

harged per customer. The more the company charges for a tour, the fewer people decide to take the tour.
The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

The function p(x)=80−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person. What does (p⋅c)(2) mean about the horse-drawn carriage tour company?

A) The horse-drawn carriage tour company can expect to take in $4960 when the charge per customer is $40.

B) The horse-drawn carriage tour company can expect to take in $4560 when the charge per customer is $60.

C) The horse-drawn carriage tour company can expect to take in $4960 when the charge per customer is $60.

D) The horse-drawn carriage tour company can expect to take in $4560 when the charge per customer is $40.
Mathematics
1 answer:
Natasha_Volkova [10]1 year ago
8 0
A is the correct answers       
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Aleonysh [2.5K]

Answer:

A: C = 2: 1

Step-by-step explanation:

Please see the attached pictures for the full solution.

Further explanantion (2nd image):

The reason why the ratio of A: C is equal to the ratio if 2A: 2C is that the number of parts of A and C is equal, which is 2 parts. If I were to divide both 2A and 2C by 2 to find the ratio of A: C, I would obtain 15: 15/2. However, ratios are expressed as whole numbers and thus, we would multiply the whole ratio by 2 again and the answer would still be 30: 15. This ratio is not in the simplest form since both can be divided by 15. Thus, dividing both sides of the ratio by 15 will leave us with the final answer of

A: C= 2: 1.

☆ An alternative method is to simplify the ratio 3B: 2C at the beginning.

3B: 2C

= 36: 15

= 12: 5

Multiply the first ratio by 2 so 3B has 12 parts in both ratios:

2A: 3B

= 10: 12

Combining the 2 ratios together,

2A: 3B: 2C

= 10: 6: 5

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= 10: 5

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A: C= 2: 1

6 0
1 year ago
The front walkway from the street to Pam's house has an area of 250ft^2. Its length is two less than four times its width. Find
OleMash [197]

Answer: the length of the walkway is 30.64ft

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Step-by-step explanation:

Since the walkway has length and width, it is rectangular in shape. For a rectangle, the two lengths and two widths are equal. The area is expressed as length, L × Width,W.

The front walkway from the street to Pam's house has an area of 250ft^2. It means that

LW = 250

Its length is two less than four times its width. It means

L = 4W - 2

Substituting L = 4W - 2 into LW = 250, it becomes

W(4W - 2) = 250

4W^2 - 2W- 250 = 0

Using the general formula for quadratic equations,

W = [- b ± √b^2 - 4ac]/2a

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W= [- - 2 ±√-2^2 -4(4 × -250)]/2×4

= (2 ± √4 + 4000)/8

= (2 ±63.277)/8

W= (2 + 63.277)/8 or W = (2 - 63.277)/8

W = 8.16 or W = - 7.91

Since the width cannot be negative, width = 8.16 ft

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8.16L = 250

L = 250/8.16 = 30.64 ft

8 0
2 years ago
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Answer:

208,606,320

Step-by-step explanation:

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27C11= \frac{27!}{11!(27-11)!} =13037895

one additional person be chosen to serve as the jury foreman

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The coordinates of the midpoint of line GH are M(−132,−6) and the coordinates of one endpoint are G(−4, 1). The coordinates of t
Darina [25.2K]

Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

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The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

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1

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2

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2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

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2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

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2

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The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

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So, \frac{-13}{2} = \frac{-4+x_2}{2}

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−13

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2

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{-13} = {-4+x_2}−13=−4+x

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{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

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2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

7 0
1 year ago
Help me with this question please!
BigorU [14]

Answer:

c = 40d+20

Step-by-step explanation:

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6 0
1 year ago
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