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Nadya [2.5K]
3 years ago
9

Several co-workers carpool to work each day. the daily cost of gas and tolls, $12, is split evenly among the people who carpool

that day. the cost per person varies inversely with the number of people. write a function that describes the cost per person on a given day of x people carpool.
c(x) =

please help and thank you.
childish comments are getting reported.
Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

c(x) = ($12) / x

Step-by-step explanation:

The general formula for inverse proportion is y = k/x.

In this specific problem, y represents the cost per person, k the dailyl cost ($12), and x the number of perople riding.

Then

c(x) = cost per person as a function of the number of people riding

      = ($12) / x

Note that if only one person rides, that person pays $12/1, or $12; if two people, $12/2, or $6 per person, and so on.

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How to estimate 96 Times 34 what is the answer
Marrrta [24]

When it says to estimate, I always think of doing it by hand to show work.  So set it up like this:

  96

<u>x 34</u>

So follow it out multiplying across 4*6 and 4*9 carrying over as needed to get it to look like this:

  96

<u>x 34</u>

384


Do the same for the 3 to get this:

  96

<u>x 34</u>

  384

2880

Add 384+2880=3264

Your final answer is 3,264

6 0
2 years ago
Verify the identity. 4 csc 2x = 2 csc2x tan x
vlada-n [284]

Step-by-step explanation:

4csc(2x) = 2csc^2(x) tan(x)

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

4 \frac{1}{sin(2x)}

Also we use identity

sin(2x) = 2 sin(x) cos(x)

4 \frac{1}{2sin(x)cos(x)}

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}

2\frac{sin(x)}{sin^2(x)cos(x)}

2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}

We know that sinx/ cosx = tan(x)

Also  1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified



6 0
3 years ago
Write <br> 36<br> as a product of prime factors.
AURORKA [14]
The prime factors are: 2 x 2 x 3 x 3 
3 0
3 years ago
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A great white shark weighted 4,302 pounds. This weight was 3 times the weight of a blue marlin fish. What was the weight of the
Sauron [17]

All you need to do is 4,302 divided by 3. You would get 1434 pounds. I did this in my head. You can split it to get 4,200 divided by 3 + 102 divided by 3. You get 1400 + 34 which is 1434.


7 0
2 years ago
Read 2 more answers
Quaker oatmeal is a very popular breakfast cereal .If susan wrapped the entire container with out any overlapping paper what is
mylen [45]

Answer:

263.76

Step-by-step explanation:

To answer this question, we need to know the equation for surface area of a cylinder which can be given as Surface Area=2*pi*R^{2}+2*pi*R*H, where R is the radius of the cylinder (also can be calculated as Diameter/2=6/2=3) and H is the height of the cylinder which is given as 11. Considering pi=3.14, the surface area of the cylinder can now be calculated as 2*3.14*3^{2}+2*3.14*3*11=263.76.

3 0
2 years ago
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