Answer:
maximum 5 CDs
Step-by-step explanation:
Let Mitchell can order a maximum of x CDs
It has been given that each CD costs $15.99, and shipping for the entire order is $9.99.
Thus, we have the total cost for x CDs

Now, Mitchell has no more than $100 to spend. It means

Subtract 9.99 to both sides

Divide both sides by 15.99

Hence, Mitchell can order maximum 5 CDs
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:

Every quadratic formula has the structure:

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:

Solve:

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

(Same discriminant value)

Now to find the two solutions, we use both signs in the equation. Solution 1:


Our first solution is -5, now for the second:

The two solution to this equation are -5 and -40.
Hope this helped!
Answer:
Number of senior citizen tickets sold= 110
Number of adults tickets sold= 290
Step-by-step explanation:
<u>First, we need to establish a system of equations:</u>
x= number of adults tickets
y= number of senior citizen tickets
x + y= 400
6x + 3y= 2,070
<u>Now, we isolate x in one equation and substitute the value in the other:</u>
x= 400 - y
6*(400 - y) + 3y = 2,070
2,400 - 6y + 3y = 2,070
330 = 3y
110 = y
Number of senior citizen tickets sold= 110
Number of adults tickets sold= 290
<u>Prove:</u>
290 + 110= 400
6*290 + 3*110= 2,070
The answers are: a= 1, b= 0, c=8, d=9, hope that helped
Answer:
Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:
, 
Step-by-step explanation:
Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:
, 
1)
Associative property/Compatibility with addition
2)
Associative and commutative properties/Definition of subtraction
3)
Existence of the additive inverse/Definition of addition
4)
Modulative property/Result