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Phantasy [73]
2 years ago
15

A school is arranging a field trip to the zoo. The school spends 544.95 dollars on passes for 41 students and 4 teachers. The sc

hool also spends 348.91 dollars on lunch for just the students.how much money was spent per student
Mathematics
1 answer:
FrozenT [24]2 years ago
7 0

Answer: I believe it is $20.62

Step-by-step explanation: the student passes+ the food was $845.42 divede that by the 41 students.

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How do i find the slope
Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.

Now, to find the slope we insert our values, starting with our second y point:

<u>m=</u>\frac{2-y_{1 } }{x_{2} -x_{1} }<u></u>

Now insert our first y point:

<u>m=</u>\frac{2-4 }{x_{2} -x_{1} }<u></u>

Now we insert our second x point:

<u>m=</u>\frac{2-4 }{-3 -x_{1} }<u></u>

And finally our first x point:

<u>m=</u>\frac{2-4 }{-3 -3 }

Now, we solve:

<u>m=</u>\frac{-2 }{-6}

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

<u>m=</u>\frac{2 }{6}

Now, we simplify our fraction by dividing the top and bottom by 2:

<u>m=</u>\frac{1}{3}<u></u>

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y=\frac{1}{3}x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Insert our values:

<u>m=</u>\frac{4-1}{2-(-4)}<u></u>

Get rid of the double negative:

<u>m=</u>\frac{4-1}{2+4}<u></u>

Solve:

<u>m=</u>\frac{3}{6}<u></u>

Simplify:

<u>m=</u>\frac{1}{2}

Now that we know our slope, let's plug it in to our slope intercept form equation.

y=\frac{1}{2}x+3

I hope this was helpful! Keep learning! :D

5 0
3 years ago
Is it one solution or many solutions y=2x+7 and y=3x-1
vodka [1.7K]

Answer:

the answer is one solution

8 0
3 years ago
Read 2 more answers
How do you solve for 4y+20=5x
Dima020 [189]

You cant because there are 2 different variables

hope this helps, have a great day

3 0
3 years ago
Read 2 more answers
Given the radius of a cone is 4 cm and its volume is 134 square cm, which of the following is closest to its height?
Mademuasel [1]

Answer:

7.99

Step-by-step explanation:

Volume of cone =  V=πr^2h/3

134 = π*4^2*x/3

x = 7.99

5 0
3 years ago
Please help with this limit, I have tried everything but this won't work. <br>​
Vera_Pavlovna [14]

You're lucky that I was able to do this :)

The answer is \huge\boxed{\frac{1}{4}}

8 0
2 years ago
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