Shalyn went to to the movies. she spent 2/5 of her money on a ticket and 3/7 on popcorn. how much did she spend?

She spent 29/35 of total amount she had.

Step-by-step explanation:

Let the amount Shalyn had be x.

She spent 2/5 of her money on a ticket. (i.e 2/5 of x)

She spent 3/7 of her money on popcorn. (i.e 3/7 of x)

So we need to find the total she spent.

i.e Total amount spent =Amount spent on movie ticket + amount spent on popcorn

Total amount spent = 2/5 of x  +   3/7 of x

Total amount spent = (2/5  +  3/7 ) of x

Total amount spent = (29/35) of x

So she spent 23/35 of total amount she had.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.