Recall that A = 1/2bh.
We are given that h = 4+2b
So, putting it all together:
168 = 1/2 b(4+2b)
168 = 1/2(4b + 2b^2)
168 = 2b + b^2
b^2 + 2b - 168 = 0.
Something that multiplies to -168 and adds to 2? There's a trick to this.
Notice 13^2 = 169. So, it's more than likely in the middle of the two numbers we're trying to find. So let's try 12 and 14. Yep. 12 x 14 = 168. So this factors into (b+14)(b-12) So b = -14 or b =12. Is it possible to have a negative length on a base? No. So 12 must be our answer.
Let's check this. If 12 is our base, then according to our problem, 2*12 + 4 would be our height... or 28. so what is 12 * 28 /2?
196. Check.
Hope this helped!
Answer:
The cost of 1000 bushels is $9790
Step-by-step explanation:
Given
per bushel
Required
Determine the cost of 1000 bushels
If 1 bushel costs $9.79,
Then 1000 costs:
Answer:
3500
Step-by-step explanation:
<span>Ariel
deposited 100$ into a bank account. Each Friday she will withdraw 10% of the
money in the account to spend. Ariel thinks her account will be empty after 10
withdrawals. Do you agree? Explain
OK, my initial answer is YES. I agree.
Why? Let me show you the solutions
=> 100 dollars = the money of Ariel in the bank
=> 10% = he withdraw every Friday
10% of 100 is:
=> 100 / 10 = 10 dollars
Thus, after his 10th
withdrawal, his account will be empty.</span>
Answer:
The cost of one month of game play is $12.
Step-by-step explanation:
We are given the following in the question:
Cost of software package = $30
Let y dollars be the cost of one month of game play.
Angie buys 1 software package and 2 months of game play.
Angie's cost =
Kenny buys 1 software package and 4 months of game play.
Kenny's cost =
Total cost = $132
Thus, we can write the equation:
Thus, the cost of one month of game play is $12.
