X⁵+ x +2x³ + 6+ 2x² = x⁵ + 2x³ +2x² + x + 6
Answer:
42 cups of chips
Step-by-step explanation:
ANSWER: 32 five-dollar bills
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EXPLANATION:
Let x be number of $5 bills
Let y be number of $10 bills
Since we have total of 38 bills, we must have the sum of x and y be 38
x + y = 38 (I)
Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):
5x + 10y = 220 (II)
System of equations:
![\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.](https://tex.z-dn.net/?f=%20%5Cleft%5C%7B%20%5Cbegin%7Baligned%7D%20x%20%2B%20y%20%26%3D%2038%20%26%26%20%5Ctext%7B%28I%29%7D%20%5C%5C%205x%20%2B%2010y%20%26%3D%20220%20%26%26%20%5Ctext%7B%28II%29%7D%20%5Cend%7Baligned%7D%20%5Cright.%20)
Divide both sides of equation (II) by 5 so our numbers become smaller
![\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.](https://tex.z-dn.net/?f=%20%5Cleft%5C%7B%20%5Cbegin%7Baligned%7D%20x%20%2B%20y%20%26%3D%2038%20%26%26%20%5Ctext%7B%28I%29%7D%20%5C%5C%20x%20%2B%202y%20%26%3D%2044%20%26%26%20%5Ctext%7B%28II%29%7D%20%5Cend%7Baligned%7D%20%5Cright.%20)
Rearrange (I) to solve for y so that we can substitute into (II)
![\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}](https://tex.z-dn.net/?f=%20%5Cbegin%7Baligned%7D%20x%20%2B%20y%20%26%3D%2038%20%26%26%20%5Ctext%7B%28I%29%7D%20%5C%5C%20y%20%26%3D%2038%20-%20x%20%5Cend%7Baligned%7D%20)
Substituting this into equation (II) for the y:
![\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}](https://tex.z-dn.net/?f=%20%5Cbegin%7Baligned%7D%20x%20%2B%202y%20%26%3D%2044%20%26%26%20%5Ctext%7B%28II%29%7D%20%5C%5C%20x%20%2B%202%2838%20-%20x%29%20%26%3D%2044%5C%5C%20x%20%2B%2076%20-%202x%20%26%3D%2044%20%5C%5C%20-x%20%26%3D%20-32%20%5C%5C%20x%20%26%3D%2032%20%5Cend%7Baligned%7D%20)
We have 32 five-dollar bills
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If we want to finish off the question, use y = 38 - x to figure out number of $10 bills
![y = 38 - 32 = 6](https://tex.z-dn.net/?f=y%20%3D%2038%20-%2032%20%3D%206)
32 five-dollar bills and 6 ten-dollar bills
Line up the numbers on the right - do not align the decimal points unless it naturally happens.
Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.Add the products and decimals
<em> </em><em> </em><em> </em><em> </em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>helped</em><em>:</em><em>)</em>
<span>Simple and best practice solution for 15+4t=3 equation. Check how easy it is, and learn it for the future. hope this helps.(-_-)
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