13/52 is the ratio of hearts to all cards
That reduces to a 1/4 ratio
or a 25% chance of drawing a heart
Plug them in:
x + 5y = 18
x - 3y = 10
F. (1,13)
G. (13,1)
H. (-2,4)
J. (-2,-4)
1 + 5*13 = 18 is obliviously not true so that takes out the first option.
13 + 5*1 = 18 : This is true but we have to check the next one.
13 - 3*1 = 10 : This is also true so we know this is the answer. We don't really need to check the other 2 but u can if u want to.
Hope that helped :) <span />
Answer: The answer is 78
Step-by-step explanation:
Since it said the number of dimes is 6 more than twice the number of nickels There are 36 dimes, this statement in an equation is d=(2n + 6), so then it would be [2(36) + 6] which is 72 + 6 = 78
Pythagorean theorem is

and using that sin is opposite/hypotenuse, you can find the third side of the triangle.

now you know adjacent is 60, so cos=60/61