Question

Which expression is equivalent to the expression quantity negative 7 over 5 times t plus 2 over 9 end quantity minus expression quantity negative 5 over 15 times t plus 4 over 3 end quantity?

Answer 1

I have no clue honestly

Answer 2

`(-2(24t-25))/(45)`

Explanation:

In order to find the expression, you have to read the problem from left to right and make sure to follow PEMDAS.

`(-(7)/(5) * t+(2)/(9))-(-(1)/(3)*t+(4)/(3))\\\\\\(-(7t)/(5) +(2)/(9) )-(-(t)/(3) +(4)/(3) )\\\\(-(7t)/(5) *(9)/(9) +(2)/(9) *(5)/(5) )-((-t+4)/(3) )\\\\(-(63t)/(45) +(10)/(45) )+(t-4)/(3) \\\\(-63t+10)/(45) +(t-4)/(3) \\\\(-63t+10)/(45)*(3)/(3)+(t-4)/(3)*(45)/(45)\\\\(3(-63t+10))/(135)+(45(t-4))/(135)\\\\(-189t+30)/(135)+(45t-180)/(135)\\\\(-189t+30+45t-180)/(135)`

Once you have it combined into only one expression, simplify the expression.

`(-189t+30+45t-180)/(135)\\\\(-144t-150)/(135)\\\\(-6(24t-25))/(135)\\\\(-2(24t-25))/(45)\\\\`