Answer:
She lost $2550.
Step-by-step explanation:
She bought 37 meters at $750/m.
37 m * 750/m = $27,750
She paid $27,750
She sold 28 m at $900/m
28 m * $900/m = $25,200
She sold $25,200
$25,200 - $27,750 = -$2550
She lost $2550.
Answer:
square feet
Step-by-step explanation:
Units multiply the same way any variable does:
(x ft)(y ft) = x·y ft·ft = x·y ft² . . . . . . the units of the product are square feet
Step-by-step explanation:
![9x^{2} - 9 (a + b)x + 2a^{2} + 5ab + 2b^{2} = 0\\9x^{2} - 3[(3a + 3b)]x + 2a^{2} + 4ab +ab + 2b^{2} = 0\\9x^{2} - 3[(a + 2b) + (2a + b)]x + 2a[a + 2b] + b [a + 2b] = 0\\9x^{2} - 3(a + 2b)x - 3 (2a + b) + (a + 2b)(2a + b) = 0\\3x [3x - (a + 2b)] -(2a + b)[3x - (a + 2b)]=0\\\:\: [3x - (a + 2b)] - [3x - (2a + b)] = 0\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{2a + b}{3} }}\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{a + 2b}{3} }}](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20-%209%20%28a%20%2B%20b%29x%20%2B%202a%5E%7B2%7D%20%2B%205ab%20%2B%202b%5E%7B2%7D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%5B%283a%20%2B%203b%29%5Dx%20%2B%202a%5E%7B2%7D%20%2B%204ab%20%2Bab%20%2B%202b%5E%7B2%7D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%5B%28a%20%2B%202b%29%20%2B%20%282a%20%2B%20b%29%5Dx%20%2B%202a%5Ba%20%2B%202b%5D%20%2B%20b%20%5Ba%20%2B%202b%5D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%28a%20%2B%202b%29x%20-%203%20%282a%20%2B%20b%29%20%20%2B%20%28a%20%2B%202b%29%282a%20%2B%20b%29%20%3D%200%5C%5C3x%20%5B3x%20-%20%28a%20%2B%202b%29%5D%20-%282a%20%2B%20b%29%5B3x%20-%20%28a%20%2B%202b%29%5D%3D0%5C%5C%5C%3A%5C%3A%20%5B3x%20-%20%28a%20%2B%202b%29%5D%20-%20%5B3x%20-%20%282a%20%2B%20b%29%5D%20%3D%200%5C%5C%5C%5C%5C%5C%5C%5C%5Ccirc%5C%3A3x%20-%20%282a%20%2B%20b%29%20%3D%200%5C%5C%5Cboxed%7B%5Cunderline%7Bx%20%3D%20%5Cfrac%7B2a%20%2B%20b%7D%7B3%7D%20%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ccirc%5C%3A3x%20-%20%282a%20%2B%20b%29%20%3D%200%5C%5C%5Cboxed%7B%5Cunderline%7Bx%20%3D%20%5Cfrac%7Ba%20%2B%202b%7D%7B3%7D%20%7D%7D)
So, the roots are:
<u>1) x = 2a + b/3</u>
<u>2) x = a + 2b/3</u>
_________
Hope it helps!
◇ Please refer to the attachment if the latex code shows some error.
Answer:
Miki had 288 stickers and Ken had 252 stickers.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
Miki has x stickers.
Ken has y stickers.
The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.
This means that 
, that is: 
, or 
After Miki gave Ken 18 of her stickers, they had the same number of stickers.
This means that:
Since
And
Miki had 288 stickers and Ken had 252 stickers.
After the tax and the tip are counted, we conclude that each friend must pay $30.
<h3>How much should each person pay?</h3>
We know that the meal cost is $72.50.
Now, there is a 6.75% sales tax and a 15% tip on the waiter (we assume that the tip is based on the total meal cost, after the tax is applied).
Then the total meal cost is:
C = $72.50*( 1 + 6.75%/100%) = $72.50*(1 + 0.0675) = $77.39
Now we also need to add the tip, which is a 15% of that, so the total cost with the tip included is:
C' = $77.39*(1 + 15%/100%) = $88.998 = $90
(Where we rounded up).
Then, if there are 3 friends, each one must pay:
$90/3 = $30
Each friend must pay $30.
If you want to learn more about taxes:
brainly.com/question/1775528
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