Answer:
x = 2 * (y/5) feets
Step-by-step explanation:
Given that :
Actual dimension of mural = 15 feet by 8 feet
Scale drawing = 2 feet : 5 feet
2 feets on the scale drawing represents 5 feets of the actual drawing.
Drawing length (x)
Actual mural length (y)
x = 2 * (y/5) feets
Hence, dimension of scale drawing:
x = 2 * (15/5) ; x = 2 * (8/5)
x = 6 feets ; 3.2 feets
Answer:
3x² + x + 8
Step-by-step explanation:
3x² + (4x - x) + 7 - (2x - 1)
Solve what's inside the parenthesis first.
3x² + 3x + 7 - 2x + 1
Combine like terms.
3x² + x + 8
In math, slope<span> is the ratio of the vertical and horizontal changes between </span>two points<span>on a surface or a line. The vertical change between </span>two points<span> is called the rise, and the horizontal change is called the run. The </span>slope<span> equals the rise divided by the run: . This simple equation is called the </span>slope formula<span>.</span>
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)