Hello!
(this took me 20 minutes to type out from what I wrote on paper lol)
I'm going to guide you through this one step at a time
Step 1: Simplify both sides of the equation.
2.3(6−x)+22 = 96−2.3(2x+12)
(2.3)(6)+(2.3)(−x)+22 = 96+(−2.3)(2x)+(−2.3)(12) (use distributive property of multiplication)
13.8+−2.3x+22 = 96+−4.6x+−27.6
(−2.3x)+(13.8+22) = (−4.6x)+(96+−27.6) (Combine The Like Terms)
−2.3x+35.8 = −4.6x+68.4
−2.3x+35.8 = −4.6x+68.4
Step 2: now, add 4.6x to both sides.
−2.3x+35.8+4.6x = −4.6x+68.4+4.6x
2.3x+35.8 = 68.4
Step 3: next, subtract 35.8 from both sides.
2.3x+35.8−35.8 = 68.4−35.8
2.3x = 32.6
Step 4: Divide both sides by 2.3.
= 
fractions solved: x = 14.173913
your final answer is: x = 14.173913
I hope this helps, and have a nice day!
Answer:
9 shots
Step-by-step explanation:
convert 45% into decimal form
0.45*20
9 shots
Answer:
- the pressure will decrease
(volume is doubled ,the pressure reduced by half).
Step-by-step explanation:
P_1 V_1=P_2 V_2
This equation shows that, as volume increases, the pressure of the gas decreases in proportion.
Similarly, as volume decreases, the pressure of the gas increases.
It would stop at 3y+4>11 because the 3y and 4 are unlike terms and can only be divided or multiplied.
<h3>
Answer:</h3>
(x, y) = (7, -5)
<h3>
Step-by-step explanation:</h3>
It generally works well to follow directions.
The matrix of coefficients is ...
![\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%264%5C%5C-5%263%5Cend%7Barray%7D%5Cright%5D)
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
![\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B26%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-4%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D)
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)
