Tori has lacrosse every 6 days and math every 7 days. She has both today. How many more days before she has both again?
1 answer:
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Answer:
x=14.87
Step-by-step explanation:
What we want to use is pythagoras theorem:
a^2+b^2=c^2, where c is the hypotenuse
10^2+11^2=x^2
221=x^2
x=
x=14.866...
x=14.87
Step-by-step explanation:
the error:
it is stated that
subtract (5x)/(x+7) from both sides
multiply both sides by x + 7
7(x+7) = 49x
7x + 49 = 49x
subtract 7x from both sides to isolate x and its coefficient
49 = 42x
thus, this is only true when 49 = 42x. in order for these two equations to be equal, they must <em>always </em>be true, so this is wrong
the solution:
we want to express 7/x as (something) / (x+7). to do this, we can multiply 7/x by 1.
anything divided by itself = 1. thus, if we multiply both the numerator and the denominator by something that turns x into (x+7), we can do what we want to do.
(x+7)/x * x turns x into (x+7), so we multiply both the numerator and denominator by (x+7)/x to get
substitute this for 7/x in our original problem