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Answer/Step-by-step explanation:
2) There is a cluster, and as x increases, y increases.
As x increases y increases it may be confusing because it steps down and then goes back up the overall shows that the number has gone up. it is a cluster because all the numbers are in a very close group.
Answer:
Option B
Step-by-step explanation:
When moving with the current, the speeds of the boat and current will add up. The first situation can then be represented by:
9 = 0.5(x + y)
While opposing the current, the speeds will be subtracted. Forming:
9 = 1.5(x - y)
The second option contains this equation system, so it is correct.
Answer:
k = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
15 - 3k = 10(k - 5)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 10: 15 - 3k = 10k - 50
- Add 3k to both sides: 15 = 13k - 50
- Add 50 to both sides: 65 = 13k
- Divide 13 on both sides: 5 = k
- Rewrite: k = 5
<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>: 15 - 3(5) = 10(5 - 5)
- Subtract: 15 - 3(5) = 10(0)
- Multiply: 15 - 15 = 0
- Subtract: 0 = 0
Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
Answer:
Step-by-step explanation:
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