Approximately 6.8 hours Alyssa spends on the train per day.
Given that, Alyssa spent 365 hours commuting on the train over the course of 54 days.
We need to find the number of did Alyssa spend on the train per day.
<h3>What is an equation?</h3>
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of hours Alyssa spends on the train per day be x.
Now, x=365/54
=6.759≈6.8 hours
Therefore, approximately 6.8 hours Alyssa spends on the train per day.
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2 hours is also 120 minutes
120/15=8
8 x 5=40
120+40=160
It will take her 160 minutes to finish, or 2 hours and 40 minutes
Answer:-1 and 3
Step-by-step explanation:
Answer: Pressure(t) = 5mP*sin(191.08*t)
Step-by-step explanation:
The information we have:
Maximum pressure P = 5 mP
frequency = 1200Hz
Period = 1/frequency = (1/1200) seconds
when t = 0, P = 0, so we should use a sin function (because sin(0) = 0)
Then we can write this as:
Pressure(t) = P*sin(c*t)
where t is time in secnds, P is the maximum pressure 5mP, and c is a constant that depends on the period.
Pressure(t) = 5*sin(c*t)
knowing that the period is 1/1200 seconds, we have that:
c*1/1200 s = 2*3.14
c = 1200/(2*3.14) 1/s= 600/3.14 1/s
Our function is
Pressure(t) = 5mP*sin(191.08*t)
The solution to the given equation is x > 5.3
<h3>Solving linear inequality</h3>
Inequality are expression that are separated by an equal sign.
Given the inequality;
16(1/4 x - 1/2) > 24- 2x
Expand
4x - 8 > 24 -2x
Collect like terms
4x + 2x > 24 + 8
6x > 32
x > 32/6
x > 5.3
Hence the solution to the given equation is x > 5.3
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