Equation
Let the number = x
(2/3)x + x = 20 Change the x to thirds.
(2/3)x + 3/3x = 20 3/3 = 1 Now combine the like terms.
(2 + 3)/3 = 20 2/3 + 3/3 = 5/3
(5/3) x = 20 Multiply both sides by 3/5
(5/3)*(3/5)x = 20*3/5 Complete the multiplication on the right
x = 4 * 3 Combine
x = 12 Answer
Answer:
Two angles of a quadrilateral : 220 and 90 deg.
The other two angles (x and y) are in ratio 2:3.
We have:
x + y = 360 - 220 - 90 = 50 (property of sum of 4 angles in quadrilateral)
x/y = 2/3 => x = 2y/3
=>2y/3 + y = 50
=> 5y/3 =50
=> 5y = 150
=> y = 30
=> x = 2 x 30/3 = 20
=> Two other angles are 20 and 30 deg
Hope this helps!
:)
Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .
<u>Step-by-step explanation:</u>
We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,
Perimeter = 42 inches
⇒ 
width of printed area = x-3 & length of printed area = y-2:
area = 

Let's find
:
=
, for area to be maximum
= 0
⇒ 
And ,

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .
All you have to do is plug in the x and y values for each ordered pair into the left hand side of the equation and see if you get 15 = 15. If you do, the ordered pair is a solution; otherwise it is not a solution. For example, let's try (-2,-3); that is x = -2 and y = -3:
2x - 9y = 15
2(-2) - 9(-3) = 15
-4 - (-27) = 15
-4 + 27 = 15
23 = 15
This is obviously not true, so (-2,-3) is not a solution. Now you try it on each of the ordered pairs given in the problem statement.