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PSYCHO15rus [73]
3 years ago
5

What is the solution to the system of equations? 3x - 6y = - 12 x - 2y = - 8 Use the substitution method to justify that the giv

en system of equations has no solution.​
Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

There is no solution to this system.

Step-by-step explanation:

The left side of the first equation is 3 times the left side of the second one.

If we multiply the whole of the second equation by 3 we get:

3x - 6y = -16.

As the first equation is 3x - 6y = -12 we see that there is no solution to this system.  3x - 6y can't be equal to -12 and -16.

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How do I set this up
Mrac [35]

To justify the yearly membership, you want to pay at least the same amount as a no-membership purchase, otherwise you would be losing money by purchasing a yearly membership.  So set the no-membership cost equal to the yearly membership cost and solve.

no-membership costs $2 per day for swimming and $5 per day for aerobic, in other words, $7 per day.  So if we let d = number of days, our cost can be calculated by "7d"

a yearly membership costs $200 plus $3 per day, or in other words, "200 + 3d"

Set them equal to each other and solve:


7d = 200 + 3d

4d = 200

d = 50

So you would need to attend the classes for at least 50 days to justify a yearly membership.  I hope that helps!

5 0
3 years ago
HELP NOW IS THIS CORRECT
Arisa [49]
Yes this question is correct
4 0
4 years ago
A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the
IgorLugansk [536]
If 25% of the people <em>are</em> vaccinated, then 75% of the people are <em>not</em> vaccinated.  Of those not vaccinated, each has a 50% chance of contracting the disease.  The probability that someone is both not vaccinated and contracts the disease is (0.75)(0.5)=0.375.
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total:  0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
4 0
4 years ago
Please help me out please please !!!!!
Sauron [17]

The surface area of a sphere is given by

S = 4\pi r^2

We deduce

r = \sqrt{\dfrac{S}{4\pi}}

So, in your case, the radius is

r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5

The volume of a sphere is given by

V=\dfrac{4}{3}\pi r^3

So, we have

V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi

5 0
3 years ago
two years ago jenny was four times as old as helen. six years from now jenny will be twice as old as helen. how old are the girl
Elina [12.6K]
What  type of teacher would give a frustrating problem like this?!?
5 0
3 years ago
Read 2 more answers
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