Let x = the number.
"increased by" tells you we are adding.
"twice a number" tells you 2 times a number.
16 + 2x = - 24
Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.
2x = - 24 - 16
2x = - 40
Divide by 2 to isolate the variable.
x = - 40/2 = - 20
Your solution is - 20.
To check your answer, plug in.
16 + 2(-20) = - 24
16 - 40 = - 24
- 24 = - 24
You can see that you're constantly subtracting 8 to get the next number. So, we have
So, as you can see, to get the n-th term we must subtract (n-1) times 8 from the original number.
Please, Karla, explain what "C" and "n" represent. Are you talking about combinations (for example, n+2 objects taken n at a time? Or is C some kind of function? I don't quite see the relationship of this problem to 'data management.'
Answer:
3x + 1y = $163
2x + 3y =$174
Step-by-step explanation:
Adult tickets to space amusement park cost x dollars children’s tickets cost y dollars.
Henson family bought 3 adults and 1 child's tickets for $163
x + y = 163
3x + 1y = 163
The Garcia family bought 2 adults and 3 child’s ticket for $174.
x + y = $174
2x + 3y = $174
Therefore the equations representing both families cost are
Henson family
3x + 1y = $163
Garcia family
2x + 3y = $174
