Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Answer:
x= 1/2y + 3/2z
Step-by-step explanation:
1/3 (2x-y) =2
multiply 1/3 into the ( )
2/3x -1/3y =2
bring y to the right side by subtrcting
2/3x =1/3y + 2
multiply by the reciprocal of 2/3, which is 3/2
x=3/6y+3/2z
SIMPLIFY!
x=1/2y+3/2z
Answer:
d) 
Step-by-step explanation:
b) 
This expression is not equivalent, as the original expression, 
, has 9 multiplied to 
instead of y. You can interchange values like this when it comes to addition, but not multiplication.
c) 
This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to .
d)
This expression is equivalent, as 9 and are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:
I hope this helps!
1000-200=800
So he needs $800 /2= needs to sell 400 tickets
