Answer:
![\Large\boxed{\mathsf{\Rightarrow NO\quad SOLUTIONS}}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B%5Cmathsf%7B%5CRightarrow%20NO%5Cquad%20SOLUTIONS%7D%7D)
Step-by-step explanation:
<h3><u>TO SOLVE:</u></h3>
Isolate by the x on one side of the equation.
<h3><u>SOLUTIONS:</u></h3>
First, subtract 3x from both sides.
![\displaystyle \Rightarrow \mathsf{3x+11-3x=3x-11-3x}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5CRightarrow%20%5Cmathsf%7B3x%2B11-3x%3D3x-11-3x%7D%7D)
Solve.
![\displaystyle \mathsf{11=-11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cmathsf%7B11%3D-11%7D)
Sides are NOT equal.
![\Large\boxed{\mathsf{\Rightarrow THERE \quad ARE \quad NO \quad SOLUTIONS}}}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B%5Cmathsf%7B%5CRightarrow%20THERE%20%5Cquad%20ARE%20%5Cquad%20NO%20%5Cquad%20SOLUTIONS%7D%7D%7D)
Therefore, there are no solutions.
All three of the angles given will add up to be 180 degrees, which is technically half of a circle. Therefore we can say that 3x + 80 + 2x = 180, which is answer choice A.
Though the vectors are going in opposite directions, their terminal and starting points are the same, just switched, check the picture below.
recall the component for (a,b), (c,d) is just (c-a , d-b),
the component form for "v" is then
(5, -4), (15, 22) => (15 - 5, 22-(-4)) => (15 - 5, 22+4) => (10 , 26).
and since "v" is twice as long as "u", then its form is 2v, or
2(10 , 26) => (20, 52)
45*8=360+80=440 therefore he will get paid $440
Answer:
He fails to sell that day 10 cottons.
Step-by-step explanation:
We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.
One day when he made 120 cottons, he made a profit of 39 soles.
Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.
So, according to the question;
- The first condition states that he made 120 cottons on one day, that is;
x + y = 120
x = 120 - y ---------------------- [Equation 1]
- The second condition states that merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents and due to which he made a profit of 30 soles, that is;
![40x - 50y=3900](https://tex.z-dn.net/?f=40x%20-%2050y%3D3900)
![4800-40y - 50y=3900](https://tex.z-dn.net/?f=4800-40y%20-%2050y%3D3900)
This means that the merchant is not able to sell 10 cottons.