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NikAS [45]
3 years ago
7

Mrs. Ralph decides to rent a movie theatre for her students to celebrate the end of the trimester. The rental rate is $250 for t

he first 2 hours and $50 for each additional half hour. What is the maximum number of hours she can rent the theatre for if she has set aside $600 for the event?
Mathematics
1 answer:
timurjin [86]3 years ago
5 0
5 and a half hours.

600-250 for the first two hours and it leaves her 350 for additional hours. divide 350 by 50 and you get 7. so she can get 7 extra half hours which is 3.5 hours.

so 2+3.5 is 5.5
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Write the equation of the line in fully simplified slope-intercept form…. pleaseee help
inysia [295]

Answer:

y = -x + 2

Step-by-step explanation:

Given the two points on the graph, (-2, 4) and (0, 2), we can start by solving for the slope of the line.

Let (x₁, y₁) = (-2, 4)

     (x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 4) / [0 - (-2)]

m = -2/ (0 + 2)

m =  -2/2  = -1

Therefore, the <u>slope</u> of the line is -1.

Next, we need to determine the <u>y-intercep</u>t of the line, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it is evident that it crosses the y-axis at point (0, 2), which happens to be one of the points we used to solve for the slope. Its y-coordinate, y = 2, is what we will use as the value of b in the slope-intercept form, y = mx + b.

Therefore, given the <u>slope</u>, <em>m</em> = -1, and the<u> y-intercept</u>, <em>b</em> = 2, the equation of the line is:  

<h3>y = -x + 2</h3>
7 0
3 years ago
Can someone please answer and EXPLAIN ILL MARK BRAINLIEST
12345 [234]

Answer:

adjust city gallons to 3 gallons and freeway to 7 gallons

make your line in the chart:

3   |  10-3 = 7   |   3(25) = 75   |   7(40) = 280   |   75 =280 =355   |   355   |   yes

Step-by-step explanation:

x = city gallons

y = freeway gallons

x+y = 10        then y = 10-x

25x+40y = 355

substitute for y

25x+40(10-x) = 355

25x+400-40x = 355

-15x+400 = 355

subtract 400 from each side

-15x = -45

divide both sides by -15

-15x/-15 = -45/-15

x = 3 gallons

y = 7 gallons

7 0
3 years ago
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zubka84 [21]
Answer is b hope this helps
6 0
3 years ago
HELP PLEASE PLEASE!!!
AnnZ [28]

Answer:

im in online school

Step-by-step explanation:

4 0
3 years ago
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57 1/2 as a decimal, Please help and Thanks
Nimfa-mama [501]
The answer is 57.5 because 57 represents a whole number and 1/2 equals .5 so 57.5.

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3 years ago
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