Answer:
32
Step-by-step explanation:
Let x is the number of groups
Let y is the total cost of the ticket
The number of people = 8x
Given that:
Ticket price: $42 for a group of up to 8 people
The cost per ticket decreased by three dollars => the slope is 3
So we can form the equation: y = -3x + 42
Here Marcos ticket cost 30 dollars, so:
y = -3x + 42 = 30
<=> -3x + 42 = 30
<=> x = 4
So the number of people in Marcos group is: 8*4 = 32
Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:
Substitute:
Integrate:
Evaluate:
36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.
Answer:
Sean sorts at a faster rate.
Step-by-step explanation:
Kent sorts 480 envelopes in 1 hour
1 hour equals 60 minutes
480/60=8
Kent=8x envelopes
Sean=11x envelopes
Answer:
(n+4)(n+5)
Step-by-step explanation:
You could use a translation to move one to the same position as the other and compare if they have the same orientation (like both are pointing up).
If not, you could use rotation to do so, then use translation. Sometimes even reflections might work, but that's a bit more complex.