We know the total tickets sold = 400.
Let x be the number of adult tickets sold.
That means 400 - x is the number of student tickets.
The revenue from adult tickets will be $3 * x, which we can call 3x.
The revenue from student ticks will be $2 * (400 - x), or 800 - 2x.
The total revenue is $1050, so that means:
3x + (800 - 2x) = 1050.
Removing the parentheses:
3x + 800 - 2x = 1050
Subtracting 800 from both sides:
3x - 2x = 250
Simplifying the left side:
x = 250, which is the number of adult tickets.
400-x = student tickets = 400-250 = 150.
ALWAYS check!
In this case, check the revenue:
3x = 3(250) = 750
2(150) = 300
750 + 300 = 1050. Check!
Answer:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost
dollars and each pound of jelly beans cost
dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So,
--------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So,
--------------- 2
Multiplying equation 2 by -3, we get

Now, adding equations 1 and 3, we get

Now, plug in
in equation 1 and solve for
.

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Sorry I am a little late...
a = -2
b = -9
Here is how to solve the problem.
First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40.
You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D
So there you have your first answer.
a = -2
Now we're going to use the first answer to help us find b.
For the second equation, all you're going to do is plug in that a.
5 (-2)-8b=62
-10 - 8b = 62
Now we move the -10 to the other side...
-8b = 62 + 10
-8b = 72
Multiply the whole thing by negative once again to turn the b positive.
Now we have 8b = -72
The final step is to simplify. -72/11 = -9
b = -9
Hope this makes sense! Also I had the same question on my test and I got it right. :)
X=12sin(60). X=10.3923...X=6rad3
The solution of the equation (√x-8) + 2 = 7 is x = 13.
According to the given question.
We have an equation

Since, we solve the above equation for x .
Therefore,

⇒ (√x - 8) = 7 - 2
⇒ (√x - 8) = 5
Squarring both the sides.
⇒ x - 8 = 5
⇒ x = 5 + 8
⇒ x = 13
Hence, the solution of the equation (√x-8) + 2 = 7 is x = 13.
Find out more information about equation here:
brainly.com/question/15707224
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