Just graph it in the calculator
The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here the event is the alarm clock running out of power. There are 24 hours during which the power can go out. You are asleep during 8 of these. A "favorable" outcome in this case is the power going out while you are sleeping -- that is, during one of those 8 hours. This makes the probability that the power goes out while you are sleeping 8/24.
Let's find out how much she spent every month.
4000 (starting money) - 2800 (remaining money) = 1200 spent over 3 months
1200/3 = 400 per month was spent
So if she continues to spend 400 a month?
How many months are left? 12 (months of the year) - 3 (months she already spent) = 9
So 9 (remaining months) * 400 (amt per month) = 3600 she'll spend at the going rate over 9 months.
But she only has 2800 left.
2800 (remaining) - 3600 (estimated total of spending) = -800
So she will be 800$ in debt at the end of the year at the current rate.
Answer:
x = 6
Step-by-step explanation:
Let's solve your equation step-by-step.
6−8x=7x−10x−24
Step 1: Simplify both sides of the equation.
6−8x=7x−10x−24
6+−8x=7x+−10x+−24
−8x+6=(7x+−10x)+(−24)(Combine Like Terms)
−8x+6=−3x+−24
−8x+6=−3x−24
Step 2: Add 3x to both sides.
−8x+6+3x=−3x−24+3x
−5x+6=−24
Step 3: Subtract 6 from both sides.
−5x+6−6=−24−6
−5x=−30
Step 4: Divide both sides by -5.
−5x/-5 = -30 /-5
x=6
