Answer:

Step-by-step explanation:
Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.
1) Expand 2(q+p)
2q + 2p = 1 + 5q
2) Move all q terms to one side
5q - 2q = 2p - 1
3q = 2p - 1
3) Divide 3 on both side (to isolate q)
q = 
Answer:
Kimmy balance in December will be $545.21.
Step-by-step explanation:
Given:
Balance in account in June = $76.23
Now Given, by September her balance is 5 time as much as her June
It means that Balance in account till September is 5 times Balance in account in June.
framing in equation form we get;
Balance in account till September = 
Also Given:
Balance Deposited in account between September and December = $87.83
Now We need to find balance till December.
Kimmy balance till December will equal to sum of Balance in account in June and Balance in account till September and Balance Deposited in account between September and December.
framing in equation form we get;
Kimmy balance till December = 
Hence Kimmy balance in December will be $545.21.
Here, scale is 1 : 30
We have length of scale = 3 in.
So, length of the room is 30 * 3 = 90 inch.
In the same manner, width of room = 30 * 4 = 120 in.
Now, Area = Length * Width
A = 90 * 120
A = 10800 In²
A = 10800 / 144 Ft² [ As 1 Ft² = 144 In² ]
In short, Your Answer would be 75 Ft²
Hope this helps!
Answer:
the desired equation is y = -3x + 6.
Step-by-step explanation:
1) Rewrite x - 3y = 5 in slope-intercept form: x - 5 = 3y, or y = (1/3)(x - 5)
2) Identify the slope of the given line. It is (1/3).
3) Find the slope of a line perpendicular to this one. It is the negative reciprocal of (1/3), or -3.
4) Use the slope-intercept form of the equation of a straight line, y = mx + b, to determine the b value and thus the equation of the perpendicular line:
6 = -3(0) + b. Then b = 6, and the desired equation is y = -3x + 6.