Answer:
they have 3 dollars left because you add 3.50 plus 2.50 equals 6 then you divide it by 2 cuz 2 people are sharing and they have 5 bucks each which would get you the answer of 3. they have 3 dollars each
2/3(12c-9)+14c
Simplify
2/3•3(4c-3)+14c
=2(4c-3)+14c
=8c-6+14c
Combine
=22c-6
=2(11c-3)
The solution of the system is:
x = 62/7
y = 30/7
<h3>
How to solve the system of equations?</h3>
Here we have the system:
4x + 5y = -14
-5x - 8y = 10
To solve it by combining the equations, we need to try to remove one of the variables.
If we take the sum of 5 times the first equation and 4 times the second equation we get:
5*(4x + 5y) + 4*(-5x - 8y) = 5*(-14) + 4*10
If we simplify that we get:
20x + 25y - 20x - 32y = -30
-7y = -30
Now we can solve that for y:
y = -30/-7 = 30/7
Now to get the value of x, we can replace the value of y in any of the given equations:
Using the first one:
4x + 5y = -14
x = (-14 - 5y)/4
x = (-14 - 5*30/7)/4 = (-98/7 - 150/7)/4 = 248/28 = 124/14 = 62/7
The solution of the system is:
x = 62/7
y = 30/7
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer:
2 2/3
Step-by-step explanation:
Hi there!
We are given the equation 20 + 6c - 2c², and are told to factor it. Well, to do this, we can first rearrange the terms in decreasing order: -2c² + 6c + 20. Next, we see that we can take out a common factor -2 from the whole equation. This gives us -2(c² - 3c - 10). Now, we take the constant term, -10, and we find all it's factors.
-1 10
-10 1
-5 2
-2 5
Now, find the sums of the factors.
-1 + 10 = 9
-10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
We see that the only pair of factors that add up to -3 are -5 and 2. Now, we can factor the whole equation to -2(c + 2)(c - 5). Hope this helped!