Beth's speech at home ≤ 5 minutes and the duration at school is 15
seconds less than the duration of her speech at home, we have;
- The inequality that shows the situation correctly is x ≤ 4.75 minutes
- The possible times, <em>t</em>, for her speech at school are; 4.75 minutes, 4.5 minutes, and 4.0 minutes
<h3>What inequality can be used to represent the situation?</h3>
The possible question options are to complete the statements;
The inequality that shows the situation correctly, given that x is the time of speech at school
The time Beth needs to do the speech = Less than 5 minutes
The time she spent during the practice is less than or equal to 5 minutes
The duration of her speech in class = 15 seconds less than the duration at home
The inequality that shows the following situation correctly is therefore;
x ≤ 5 minutes - 15 seconds
(5 - 0.25) minutes = 4.75 minutes
Which gives;
The possible times for her speech at school are times x, less than or equal to 4.75 minutes
Which gives;
- The possible times for her speech at school are; 4.75 minutes, 4.5 minutes, and 4.0 minutes
Learn more about inequality here:
brainly.com/question/22976364
Answer:
The answer would be 64/5 pi, got it right in khan academy
Step-by-step explanation:
X = the number of minutes the phone is used
<u>Plan A:</u>
40¢ per minute ($0.40)
no other costs
<em>Cost for 1 month = 0.4 x</em>
<u>Plan B:</u>
$30 a month, even if you don't use the phone at all
100 free minutes
then 50¢ per minute ($0.50)
Cost for 1 month:
If 'x' is less than 100: <em>Cost = 30</em>
<span>
If 'x' is greater than 100</span>:
Cost = 30 + 0.5(x - 100) (Because the first 100 minutes are free, and
you only pay for minutes past 100. There are [x-100] of those.)
Eliminate parentheses: Cost = 30 + 0.5x - 50
Combine like terms: <em> Cost = 0.5x - 20</em>
Which plan costs more ? It depends on how many minutes you use in a month.
If you use a small number of minutes, Plan A costs you more.
If you use a huge number of minutes, Plan B costs you more.
Where is the crossover point ? It's the number of minutes in one month
where the costs of both plans are equal.
<u>If you use the phone for less than 100 minutes a month,</u>
(where the cost of Plan B starts increasing with each minute):
0.4x = 30
Divide each side by 0.4: <em>x = 75</em>
Less than 75 minutes per month, Plan A costs less.
Past 75 minutes a month, Plan A costs more than $30, so Plan B costs less,
until Plan B starts charging for extra minutes.
<u>If you use the phone for more than 100 minutes a month: </u>
0.4 x = 0.5 x - 20
Add 20 to each side: 0.4 x + 20 = 0.5 x
Subtract 0.4x from each side: 20 = 0.1 x
Multiply each side by 10: <em> 200 = x</em>
There it is.
Now we can combine the results:
-- Less than 75 minutes in a month: Plan A costs less.
-- Between 75-200 minutes in a month: Plan B costs less.
-- More than 200 minutes a month: Plan A costs less again.
Complicated ? Absolutely ! That's why citizens' consumer groups are after
these companies, to try to get them to make their plans more understandable
to regular people. I know from personal experience that even a lot of the
salesmen in the phone stores could not figure this out and give you sound advice.
Answer:
1000000000 is your answer
Just add 9 0's to the 1