Let his total money be x.
He spent (3/7)*x of his money.
He gave 1/4(x-3/7x) to his sister.
which is : (1/4)*(4/7)*x = (1/7)*x
Now,
How much money he have in the beginning =
(3/7)*x+(1/7)*x+120=x
(4/7)*x+120=x
120=x-(4/7)*x
120=(3/7)*x
x=120*7/3 [cross multiplication]
x=280.
So, Alex had $280 in the beginning.
Answer:
Step-by-step explanation:
Simplifying
2x + 4y = 13
Solving
2x + 4y = 13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
2x + 4y + -4y = 13 + -4y
Combine like terms: 4y + -4y = 0
2x + 0 = 13 + -4y
2x = 13 + -4y
Divide each side by '2'.
x = 6.5 + -2y
Simplifying
x = 6.5 + -2y
(Hope this helped!)
Find a number that goes into both numbers. There are none for this example. So 33/128 is in it's simplest form
To get angle Y, you have to do 90 - 27 to get the other angle in the triangle and you get 63. Then you do 180 - (63+51) which is 66.
Angle Y = 66