emily receives her paycheck for the month. she spends 1/6 of it on food. she then spends 3/5 of what remains on her house payment. she spends 1/3 of what is then left for her other bills. finally, she spends 1/4 of the remaining money for entertainment. this activity leaves her with $150, that she puts into savings. what was her original take- home pay?

Explanation:

Translate every word sentence into an algebraic operation or expression to find and solve an equation:

1) Name the variable:

2) She spends 1/6 of it on food means:

3) She then spends 3/5 of what remains on her house payment.

4) She spends 1/3 of what is then left for her other bills.

5) Finally, she spends 1/4 of the remaining money for entertainment:

6) This activity leaves her with $150:

Solve for x:

Her original take - home pay was $ 900

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

the answer is 48m^2!

step-by-step explanation: