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3 years ago

Kinsley's Auto Wash earns revenues of $13 per customer. In all, how many customers does

Mathematics

1 answer:

anastassius [24]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

ok, so in this case we need to create an equation, we can do this based on the info u were given,

-it mentions "per customer" since the amount of customers is unknown we will replace that with x, 13 per customer, 13 per x so that would be 13x and it should equal the total 39 so the equation would be

13x=39

next, we need to solve and get x alone

-start by doing the opposite and dividing 13 by everything

13/13=0 it crosses out

39/13=3

so in this case, x = 3

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Solve 5x(x-6)(4x+9)=0

xxTIMURxx [149]

Greetings and Happy Holidays!

Solve for x.
$5x(x-6)(4x+9)=0$ 

Distribute the parenthesis:
 $5x(x-6)(4x+9)=0$

$(5x^2-30x)(4x+9)=0$

$(20x^3-120x^2)+(45x^2-270x)=0$

Combine like terms:
$20x^3-75x^2-270x=0$

Factor out GCF (5x):
$5x(4x^2-15x-54)=0$

Factor the Complex Trinomial:
$5x(4x^2+9x-24x-54)=0$

$5x(x(4x+9)-6(4x-9))=0$

$5x((4x+9)(x-6))=0$

Set Factors to Equal 0:
$5x=0$

$x=0$

or

$4x+9=0$

$4x=-9$

$x=\frac{-9}{4}$

or

$x-6=0$

$x=6$

The Answers Are:
$\boxed{x=0} \\ \boxed{x= \frac{-9}{4}} \\ \boxed{x=6}$

I hope this helped!
-Benjamin

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3 years ago

You can solve a system of equations by translating it into a matrix,manipulating the matrix until it has eliminated terms,and th

Maurinko [17]

Answer:

True

Step-by-step explanation:

A system of equations can be solved by Translating the system of equations into a matrix by following theses steps

list all coefficients in a single matrix
multiply the coefficient matrix with the variables matrix
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write out the resulting answer in form of equations.

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3 years ago

In the figure below, m||n. If m<5 = 115, find the rest of the angle measures.

Sophie [7]

Answer:

Step-by-step explanation:

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Georgia spends $39 on gas each week. Approximately how much money does she spend on gas each week?

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4 years ago

Read 2 more answers

A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t

Aleksandr [31]

Answer:

y = -190 cos(π t / 120) + 195

Step-by-step explanation:

General form of a sinusoidal function: y = A cos(Bt - C) + D

Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.

A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.

2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.

C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.

D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.

Your final function will be:

y = -190 cos(π t / 120) + 195

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3 years ago