First, you distribute 0.8 through the parentheses by multiplying 0.8 by s and -12, which gets you to 0.8s-9.6. Now, the equation is changed to 0.3s+0.8s-9.6=33.3. Then, you add like terms (add the two numbers with the s) by doing 0.3s+0.8s which gets you to 1.1s-9.6=33.3, all thats left is adding 9.6 on both sides which gets you to 1.1s=42.9. Now finally, you divide 42.9 by 1.1 and you get 39. The value of s in the equation is 39.
(a)
421₅ = 4×5² + 2×5¹ + 1×5⁰
… = 100 + 10 + 1
… = 111
(b)
11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰
… = 16 + 8 + 4 + 0 + 1
… = 29
(c)
13T₁₂ = 1×12² + 3×12¹ + 10×12⁰
… = 144 + 36 + 10
… = 190
Step-by-step explanation:
Here's the first one for ya. I can't tell what the first denominator of the second one is [CosB, CscB, or SecB?], so unless you get back to me on that, then I can't help you with it.
Answer:
21% probability you will hit a green light on monday and a red light on tuesday
Step-by-step explanation:
When two events, A and B, are independent, we have that:

In this problem, we have that:
Event A: Green light on monday.
Event B: Red light on tuesday.
The probability that we encounter a green light at the corner of college and main is 0.35
This means that 
The probability that we encounter a red light is 0.61:
This means that 
These events are independent, that is, the light color on Tuesday is independent of the color on Monday. So

21% probability you will hit a green light on monday and a red light on tuesday
Answer:
B
Step-by-step explanation:
24 times 5=120
9 times 24=216
8 times 24=192
7 times 24=168
She would get payed the most
(216) for 24 days a month