Carl has three lengths of cables, 5/6 yard long, and 2/3 yard long. If he uses 1 yard of cable, how much cable is left?
1 answer:
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Answer:
y = 6x + 22
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 14)
Point (-1, 16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: 16 = 6(-1) + b
- Multiply: 16 = -6 + b
- Isolate <em>b</em>: 22 = b
- Rewrite: b = 22
<u>Step 4: Write linear equation</u>
y = 6x + 22
Answer:
B. .
Step-by-step explanation:
Total number of marbles = 11.
Since, after choosing the first marble, we are putting it back and then the second marble is chosen.
As, there are 4 shaded marbles.
So, the probability of getting the first marble shaded = =
Also, there are 6 odd labeled marbles.
So, the probability of getting the second marble being odd labeled = =
So, the probability of getting the first marble shaded and second marble labeled odd = =
.
Hence, the required probability is .