Answer:
Card picked=2
P(factors of 28)={1<u>,2,</u>4,7,14,28}
total cards=4
in percentage=4 x 20 + 20
80+20=100
Therefore 2 in percentage will be
2 x 20 + 20
=40+20=60%
Use the commutative Property of Addition to add the last two terms first.
9 + (-17) + (-9) = -17
Hope this helps!! Good luck. :)
Answer:
30
Step-by-step explanation:
To find the determinant of a 3x3 matrix, you can use this method. (See picture.)
Start with the first number in the top row, and block off the row and column. A 2x2 matrix will be left. Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.
Repeat for the other two numbers in the top row. Add the first result, subtract the second, and add the third.
det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]
det A = -2 (3)(-5) − 0 + 0
det A = 30
To solve such questions we need to know more about expression.
<h2 /><h2>Expression
</h2>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.
<h2 /><h2 /><h2>Given to us,</h2>
![2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-16\sqrt[4]{2y}+13\sqrt[4]{4}-10\sqrt[4]{2y}+35\sqrt[4]{x}-18\sqrt[4]{2y}](https://tex.z-dn.net/?f=2%5Csqrt%5B4%5D%7B16x%7D-2%5Csqrt%5B4%5D%7B2y%7D%2B3%5Csqrt%5B4%5D%7B81x%7D-4%5Csqrt%5B4%5D%7B32y%7D%2B5%5Csqrt%5B4%5D%7Bx%7D-4%5Csqrt%5B4%5D%7B32y%7D%2B5%5Csqrt%5B4%5D%7Bx%7D-16%5Csqrt%5B4%5D%7B2y%7D%2B13%5Csqrt%5B4%5D%7B4%7D-10%5Csqrt%5B4%5D%7B2y%7D%2B35%5Csqrt%5B4%5D%7Bx%7D-18%5Csqrt%5B4%5D%7B2y%7D)
rearranging we get,
![=2\sqrt[4]{16x}+3\sqrt[4]{81x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{4}+35\sqrt[4]{x}-2\sqrt[4]{2y}-4\sqrt[4]{32y}-4\sqrt[4]{32y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}](https://tex.z-dn.net/?f=%3D2%5Csqrt%5B4%5D%7B16x%7D%2B3%5Csqrt%5B4%5D%7B81x%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B13%5Csqrt%5B4%5D%7B4%7D%2B35%5Csqrt%5B4%5D%7Bx%7D-2%5Csqrt%5B4%5D%7B2y%7D-4%5Csqrt%5B4%5D%7B32y%7D-4%5Csqrt%5B4%5D%7B32y%7D-16%5Csqrt%5B4%5D%7B2y%7D-10%5Csqrt%5B4%5D%7B2y%7D-18%5Csqrt%5B4%5D%7B2y%7D)
we know that,
![\sqrt[4]{81}=3\\\sqrt[4]{16}=2\\\sqrt[4]{32}=2\sqrt[4]{2}\\](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%3D3%5C%5C%5Csqrt%5B4%5D%7B16%7D%3D2%5C%5C%5Csqrt%5B4%5D%7B32%7D%3D2%5Csqrt%5B4%5D%7B2%7D%5C%5C)
therefore,
![=4\sqrt[4]{x}+9\sqrt[4]{x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{x}+35\sqrt[4]{x}-2\sqrt[4]{2y}-8\sqrt[4]{2y}-8\sqrt[4]{2y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}](https://tex.z-dn.net/?f=%3D4%5Csqrt%5B4%5D%7Bx%7D%2B9%5Csqrt%5B4%5D%7Bx%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B13%5Csqrt%5B4%5D%7Bx%7D%2B35%5Csqrt%5B4%5D%7Bx%7D-2%5Csqrt%5B4%5D%7B2y%7D-8%5Csqrt%5B4%5D%7B2y%7D-8%5Csqrt%5B4%5D%7B2y%7D-16%5Csqrt%5B4%5D%7B2y%7D-10%5Csqrt%5B4%5D%7B2y%7D-18%5Csqrt%5B4%5D%7B2y%7D)
taking
and
as common
=![[(\sqrt[4]{x})(4+9+5+5+13+35)]-[(2+8+8+16+10+18)(\sqrt[4]{2y})]](https://tex.z-dn.net/?f=%5B%28%5Csqrt%5B4%5D%7Bx%7D%29%284%2B9%2B5%2B5%2B13%2B35%29%5D-%5B%282%2B8%2B8%2B16%2B10%2B18%29%28%5Csqrt%5B4%5D%7B2y%7D%29%5D)
Further simplifying
![=71\sqrt[4]{x}-62\sqrt[4]{2y}](https://tex.z-dn.net/?f=%3D71%5Csqrt%5B4%5D%7Bx%7D-62%5Csqrt%5B4%5D%7B2y%7D)
Learn more about the expression:
brainly.com/question/13947055?referrer=searchResults
So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 55$ obviously. Secondly 45$ for the next 10 boxes.
So for now we can simply calculate that we have spent around 100$ which means 20 boxes. The remaining money left is 77$ so we can buy 77/3.5 = 22 only 22 boxes with that money. Hence a total of 42 boxes.