Answer:
x = 7, y = 30 and x = 3, y = 10
Step-by-step explanation:
5x - y = 5, then y = 5x - 5
2y - x^2 = 11
2(5x - 5) - x^2 = 11
10x - 10 - x^2 = 11
-x^2 + 10x -10 = 11
-x^2 + 10x -21 = 0
x^2 - 10x + 21 = 0
(x - 7)(x - 3) = 0
x = 7, y = 30
x = 3, y = 10
Answer:
The answer is 3.9
Step-by-step explanation:
Okay, here we go.
With simpler decimals, this is a bit easier so I'll explain that first to make sure you get the basic idea.
Let's say you had a decimal for .75 and wanted to create the fraction mathematically. To do this you would:
First divide the decimal by 1 so .75/1
Then multiply be a multiple of 10 that eliminates the decimal so in this case 100
so you now have 75/100
When you simplify that fraction by dividing by 25, you of course get 3/4
Now on to your more complicated question:
Let's assign a variable to your repeating decimal so:
x=.1515151515
Now, let's identify the repeating digits, here they are .15
Move one set of the repeating digits in front of the decimal so now we get:
100x=15.1515151515
Now you have two equations, they are:
x=.1515151515
100x=15.1515151515
Combine the equations into one equation:
100x-x=15.1515151515-.1515151515
99x=15
15/99
simplify and you get 5/33
When -3 is squared it becomes 9 then -3x5 is -15 so put that back into the equation 9-15+9= 4
18 inches, 10 feet times 12 inches is 120 + 6 inches is 126 inches - 144 inches which is 12 inches times 12 inches, 144 - 126 inches is 18 inches.
