For this case we have to write the equation of the position of each one.
We have then:
For the robber:
For the marshall
:
By the time the marshall reaches the robber we have:
From here, we clear the time.
We have then:
Answer:
it takes the marshall to catch up to the robber about 2.7 hours.
Answer: Yes it will, 3.75
Step-by-step explanation:
Ok lets break this down. Let's break it down like a EUROBEAT dubstep track hot off the rack (oh yea).
Look: area is width times height. ok... interesting.
Lets put this in some FANCY LOOKING EQUATION.
........can we actually replace some words with what we have in the question? OH YEA WE CAN.
DUDE. THERES ONLY ONE VARIABLE MISSING theoretically we can do some ALGEBRA and find out what the height is. ok? this sounds cool but man these fractions are annoying so lets convert them into numbers. what is 1 / 16? put that in a calculator, slam it in like youre putting a BAKED APPLE PIE in the oven and pull it out and 1 / 16 is equal to 0.0625. ok so lets combine that with 14. and we get 14.0625 (this is convenient).
can we do the same process with the other number? 3 / 4 is equal to 0.75. combine it with 3 and we get 3.75.
WOW I DONT KNOW ABOUT YOU BUT THIS LOOKS A LOT CLEANER.
lets do some algebra and this means that we must do opposite on both sides. 3.75 times the height.. what is the opposite of this? 3.75 divided by height. divide 3.75 on both sides by slamming it into a calculator like youre putting an apple pie in the oven and (14.0625 divided by 3.75)
the answer is 3.75. INTERESTING! THE HEIGHT IS 3.75!
what does this mean?
it will fit. because 3.75 is less than 4. THERE IS ENOUGH SPACE! YAAAAY! we have enough space for a mirror. Yes it will. because the height is 3.75 feet.
swag.
Answer: there are 580 seats
Step-by-step explanation:
The number of seats in each row is increasing in arithmetic progression.
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[(2a + (n - 1)d]
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 10 seats
d = 2 seats (the seats in each row are increasing by 2)
n = 20(number of rows)
We want to determine the number of seats in 20 rows. Therefore
S20 = 20/2[(2×10 + (20 - 1)2]
S20 = 10(20 + 38) = 10×58
S = 580
356 - 50 = 306
306 / 17 = 18
18 months of the gym membership
1) it's a function 2) for each number 3) set a input and set b output
to be a function, no ordered pairs should have same first coordinate, hence this is a function