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allochka39001 [22]
1 year ago
14

A rental car company is running two specials. Customers can pay $50 to rent a compact car for the first day plus $6 for each add

itional day, or they can rent the same car for $40 the first day and $8 for every additional day beyond that. Camilla notices that, given the number of additional days she wants to rent the car for, the two specials are equivalent. How much would Camilla pay in total?
Mathematics
1 answer:
natali 33 [55]1 year ago
3 0

The number of additional days she wants to rent the car for the two specials are equivalent is 5 days.

<h3>Equation</h3>

Compact car:

  • Fixed price = $50
  • Additional price per day = $6

y = 50 + 6x

Another special:

  • Fixed price = $40
  • Additional price per day = $8

y = 40 + 8x

let

x = number of additional days

50 + 6x = 40 + 8x

  • collect like terms

50 - 40 = 8x - 6x

10 = 2x

  • Divide both sides by 2

x = 10/2

x = 5 days

Therefore, the number of additional days she wants to rent the car for, the two specials are equivalent is 5 days.

Learn more about equation:

brainly.com/question/2972832

#SPJ1

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6.5+(-8.3)-(-1.6)+0.7-9.9
german

Answer:

-12.6

Step-by-step explanation:

OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting

6 0
3 years ago
An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out squares of equal size from the fou
Burka [1]

Answer:

Maximum volume of the box will be 7.41 cubic feet.

Step-by-step explanation:

Open box has been made from a metal sheet measuring 3 ft and 8 ft.

Let four square pieces were removed from the four corners with one side measurement x ft.

Volume of the open box = Length × width × height

Length of the box = (3 - 2x) ft

Width of the box = (8 - 2x) ft

Height of the box = x ft

Volume of the box = (3 - 2x)(8 - 2x)x

V = (24 - 6x - 16x + 4x²)x

V = 24x - 22x² + 4x³

Now we take the derivative of V with respect to x and equate the derivative to zero,

\frac{d}{dx}(V)=\frac{d}{dx}(24x - 22x^{2}+4x^{3})

V' = 24 - 44x + 12x²

V' = 0

12x² - 44x + 24 = 0

3x² - 11x + 6 = 0

3x² - 9x - 2x + 6 = 0

3x(x - 3) - 2(x - 3) = 0

(3x - 2)(x - 3) = 0

(3x - 2) = 0

and (x - 3) = 0

Therefore, x = 3, \frac{2}{3}

For x = 0.67

Length of the box = (3 - 2x) = 3 - 1.34

                              = 1.66 ft

Width of the box = (8 - 2x) = 8 - 1.34

                            = 6.66 ft

Volume of the box = 0.67 × 1.66 × 6.66

V = 7.41 cubic feet.

Similarly, for x = 3,

Length of the box = (3 - 2\times 3) = -3

which is negative but the length of the box can not be negative.

Therefore, maximum volume of the box will be 7.41 cubic feet.

6 0
3 years ago
7. If the volume of a cylinder, where the height is 3 times the radius, is 247, find the surface area of the cylinder.
lakkis [162]

Answer:

3.87987×10^5

Step-by-step explanation:

surface area of the cylinder =2πrh+2πr²

=2*π*247*3+2*π*(247)²

=3.87987×10^5

7 0
2 years ago
10 points! How do I factor 8x^2-26x+15
Rufina [12.5K]
<h3><u>(2x - 5)(4x - 3)</u></h3>

The AC method, also known as splitting the middle, can be shown like this:

8x^2 - 26x + 15

<em><u>Check factors of 120.</u></em>

1 * 120

-1 * -120

2 * 60

-2 * -60

3 * 40

-3 * -40

5 * 24

-5 * -24

6 * 20

-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)

<em><u>Split the middle term.</u></em>

8x^2 - 6x - 20x + 15

<em><u>Group in terms of 2.</u></em>

(8x^2 - 6x) - (20x + 15)

<em><u>Factor each binomial.</u></em>

2x(4x - 3) - 5(4x - 3)

<em><u>Rearrange the terms.</u></em>

(2x - 5)(4x - 3)

6 0
3 years ago
Read 2 more answers
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Vladimir [108]

Answer:

The slope is -2

Step-by-step explanation:

Given

(x_1,y_1) = (0,45)

(x_2,y_2) = (6,33)

(x_2,y_3) = (15,15)

Required

The slope (m)

Slope is calculated as:

m = \frac{y_2 -y_1}{x_2 - x_1}

So, we have:

m = \frac{33 -45}{6 - 0}

m = \frac{-12}{6}

m =-2

4 0
3 years ago
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