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.
<span>she wanted to buy 6 bottles.
the cost of 10 bottles was $12.
therefore we need to find the cost of one bottle and then find the cost for 6 bottles.
if 10 bottles cost - $ 12
then 1 bottle costs - $ 12 / 10 bottles
here we divided 12 by 10 , cost of 1 bottle is 12/10 to find the cost of 6 bottles we have to multiply by 6 .12 / 10 x 6
correct answer is therefore B. divide 12 by 10 and then mulitply by 6</span>
Answer:
14
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Remove parentheses by multiplying factors.use exponent rules to remove parentheses in terms with exponents.combine like terms by adding coefficients.combine the constants
Answer:
c) 1.2 mm, 1.6 mm, 2 mm
Step-by-step explanation:
In order to find which sides equal a right triangle, you need to use the Pythagorean Theorem: 
Set up the equation with the first numbers. The two shorter sides (legs) are A and B, and the longest side (hypotenuse) is C.
= 
Since the two sides are not equal, the first option is not a right triangle.
When you follow these steps with the remaining three options, you'll find that the third option (C) makes a right triangle.
Hope this helps, have a nice day!
