Answer:
x= -2
Step-by-step explanation:
7x+26+5x=2
7x+5x=12x
12x=2-26
12x= -24
(divide both sides by 12)
x= -2
First off, you have to convert 8 minutes into seconds.
A minute is <em>60 seconds</em>, so multiply 60 by 8.
60×8=480
Now, change 10⁹ into a standard number. Since the number is 10 that is to have an exponent, the exponent, in this case 9, indicates how many zeros are in the standard number.
10⁹=1,000,000,000
So, multiply 480 by 1,000,000,000.
480×1,000,000,000=480,000,000,000
So, the answer is 480,000,000,000.
The formula for the general term of the sequence is Tn = 4n - 2
<h3>How to determine the formula?</h3>
The sequence is given as:
{2, 6, 10, 14, 18, . . . }
The above sequence is an arithmetic sequence with the following features:
- First term, a = 2
- Common difference, d = 4 i.e. 6 - 2
The formula for the general term is calculated using:
Tn = a + (n - 1) * d
This gives
Tn= 2 + (n - 1) * 4
Expand
Tn = 2 + 4n - 4
Evaluate the like terms
Tn = 4n - 2
Hence, the formula for the general term of the sequence is Tn = 4n - 2
Read more about sequence at:
brainly.com/question/21961097
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Answer:
120 ≤ 20c + 40s
Step-by-step explanation:
(Assuming her name is Kylie, who is giving 40 minute science sessions and 20 minute Chinese sessions.)
The unit for time will be minutes.
Write an equation for time needed for science sessions
40s = t
Write an equation for time needed for Chinese sessions
20c = t
Combine the two equations for the total time.
20c + 40s = total time
She does not want the total time to be more than two hours.
Convert two hours to minutes. There are 60 minutes in an hour.
2h * 60mins = 120 mins
Therefore t ≤ 120. Include this into the equation.
120 ≤ 20c + 40s
