<h3><u>The length is equal to 13.</u></h3><h3><u>The width is equal to 8.</u></h3>
l = 2w - 3
2l + 2w = 42
Because we have a value for l, we can plug it into the second equation to solve for w.
2(2w - 3) + 2w = 42
Distributive property.
4w - 6 + 2w = 42
Combine like terms.
6w - 6 = 42
Add 6 to both sides.
6w = 48
Divide both sides by 6.
w = 8
Now that we have a value for w, we can solve for the exact value of l.
l = 2(8) - 3
l = 16 - 3
l = 13
Answer:
Your original account balance before you made the deposit is $6
Step-by-step explanation:
Let x = your original account balance.
You triple your account balance by making a deposit. This means
New account balance = 3 × x = 3x
Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.
Now your account is overdrawn by $10.50. This means you have withdrawn beyond what you have in your account. Your new account balance is -$10.5. Therefore,
3x - 28.5 = - 10.5
3x = -10.5 + 28.5 = 18
x = 18/3 = 6
Your original account balance before you made the deposit is $6
Having drawn one king, there are 3 kings remaining and a total of 51 cards. Therefore the probability of drawing another king is 3/51 = 1/17.
