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.
Her school is 2/3 miles away
2/3=4/6miles
So we need to find out how long it will take for her to run home from school...
School=4/6 miles
In 1 minutes she can run 1/6 miles
1min=1/6miles
In 2 minutes she can run 1/6+1/6 miles (1/6+1/6=2/6)
2min=2/6miles
3min=3/6miles
4min=4/6miles
It will take Erica 4 minutes to run 4/6 miles, so it'll take her 4 minutes to get home.
Answer: Exact form 6
√
2
Decimal Form 8.48528137
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Answer:
D
Step-by-step explanation:
