Step-by-step explanation:
0.75x+2
2 is taken and 0.75 is not optional therfore
0.75=x(per square foot) =0.75x
and
$2 fee is required
so they must pay 2 dollars plus 0.75 everysquare foot
answer:
0.75x+2
Answer:
12 pints of blue paint
Step-by-step explanation:
3 yellow pints, 2 blue pints
18 yellow pints is 18/3=6
so 2blue pints times 6
12
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:
![\left \{ {{42o+25m=486} \atop {o+m=14}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B42o%2B25m%3D486%7D%20%5Catop%20%7Bo%2Bm%3D14%7D%7D%20%5Cright.)
You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:
![o=14-m](https://tex.z-dn.net/?f=o%3D14-m)
2. Substitute it into the first equation and solve for "m":
![42(14-m)+25m=486\\\\588-42m+25m=486\\\\-17m=-102\\\\m=\frac{-102}{-17}\\\\m=6](https://tex.z-dn.net/?f=42%2814-m%29%2B25m%3D486%5C%5C%5C%5C588-42m%2B25m%3D486%5C%5C%5C%5C-17m%3D-102%5C%5C%5C%5Cm%3D%5Cfrac%7B-102%7D%7B-17%7D%5C%5C%5C%5Cm%3D6)
3. Substitute the value of "m" into
and evaluate, in order to find the value of "o". This is:
![o=14-6\\\\o=8](https://tex.z-dn.net/?f=o%3D14-6%5C%5C%5C%5Co%3D8)
These equations seem tricky, but aren't as hard as you think. Just solve it like you are regularly adding fractions.
Your common denominator is 9x + 9, so
1/(9x+9) = 36/(9x + 9) - (5x + 5)/9
1 - 36 + 5x + 5 / 9x - 9
30x - 30/9x - 9
10x-10/3x - 3
10(x-1)/3(x-1)
10/3
Hope this helped!