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Amanda [17]
3 years ago
11

Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her

party. Casa Lucia charges a $200 one-time rental fee plus $500 per hour. The Silver Fox charges $200 per hour plus a $1,100 one-time rental fee. Explain what the solution to the system of equations represents in this real-world context.
Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

number of hours = 3 hours

Step-by-step explanation:

Let

x = number of hours

Casa Lucia = 200 + 500x

Silver Fox = 1,100 + 200x

To solve the equation, equate both cost of rent

Casa Lucia = Silver Fox

200 + 500x = 1,100 + 200x

200 - 1,100 = 200x - 500x

-900 = - 300x

x = -900 / -300

x = 3 hours

number of hours = 3 hours

The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.

It means both locations cost the same if rented for 3 hours each

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In short, Your Answer would be 2 6/7

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Find the solution to quadratic equation X^2+2x+5-0
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Answer:

=x^2+2x+5

Step-by-step explanation:

X^2+2x+5-0

=X^2+2x+5+0

Combine Like Terms:

=X^2+2x+5+0

=(X^2)+(2x)+(5+0)

=X^2+2x+5

Hope this helped!

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1. Determining the probability of a coin landing heads up by actually tossing a coin several times is an example of what?
Oksana_A [137]

Answer:

C.

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4 0
3 years ago
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X = y - 3
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3 0
3 years ago
What is the equation of the following line written in slope intercept form? (-5,-1)
solmaris [256]

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

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

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

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-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

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