The numbers are multiplying by consecutive numbers. the next number would be 288x5, which is 1440
Answer: To solve this you’re going to need to input the x value.
Step-by-step explanation:
The x values are given
Answer:
Step-by-step explanation:
we know that
The solution of the system of inequalities is the shaded area below the solid line and below the dashed line
The equation of the dashed line is
The equation of the solid line is
therefore
The system of inequalities is
Answer:
(0,150)
Step-by-step explanation:
Remember that the y-intercept of a function is where x=0. Therefore, we need to plug in x=0 in the function to get y:
f(x)=150(1.25)^x
f(0)=150(1.25)^0
f(0)=150(1)
f(0)=150
Therefore, the y-intercept of the function is (0,150)
Answer:
2:15 pm
Step-by-step explanation:
The time that Theo finishes is the sum of the start time and the duration of the cleaning. The duration is the sum of the cleaning times for each of the rooms and the break time.
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<h3>sum of minutes</h3>
It is convenient to convert all of the times to minutes, then convert the total back to hours and minutes.
kitchen +lounge +bedroom +bathroom +breaks
= (60 +50) +(55) +(1/2×60) +(35) +(85)
= 110 +55 +30 +35 +85
= 315 . . . . minutes
<h3>minutes and hours</h3>
There are 60 minutes in an hour, so the sum is ...
(315/60) hours = 5 15/60 hours = 5:15 . . . . written as hours : minutes
Then the time Theo finishes is ...
9:00 +5:15 = 14:15 = 2:15 pm
Theo will finish cleaning at 2:15 pm.
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<em>Additional comment</em>
On a 24-hour clock, hours after noon are numbered 13, 14, 15, ... to 23 at 11 pm. The 12-hour representation of the pm hours can be found by subtracting 12 from the hour number.