The equation has no solution because:

5(n+10)=5n+10n
5n+10n=5n+10n
I subtract 5n from both sides
10n=10n
Only one side is supposed to have the variable which is n, so the equation has no solution.

4 0

2 years ago

NEED THIS QUICK Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the tab

Lostsunrise [7]

Answer:

$1,210

Step-by-step explanation:

$28,000 - $2,100 = $25,900

$25,900 - $5,000 = $20,900

1.5% × $1,000 = $15

3% × $2,000 = $60

4.5% × $2,000 = $90

5% × $20,900 = $1,045

$15 + $60 + $90 + $1,045 = $1,210

8 0

2 years ago

Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and room

coldgirl [10]

Answer:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Step-by-step explanation:

Independent events:

If two events are independent, the probability of both happening is the multiplication of their probabilities.

Rock-paper-scissors rules:

A player that choose rocks beats one who chooses scissors.

A player that choose paper beats one who chooses rocks.

A player that choose scissors beats one who chooses paper.

Probability that roommate A wins the game and thus does not have to wash the dishes.

3 possible events:

Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)

$p_R = 0.21*0.18 = 0.0378$

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).

$p_P = 0.39*0.61 = 0.2379$

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).

$p_S = 0.4*0.21 = 0.084$

Probability of roommate A winning:

$p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597$

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

8 0

3 years ago