17.97 + 25.49 + 3x = 50.33
17.97 + 25.49 + 3x - 17.97 - 25.49 = 50.33 - 17.97 - 25.49
3x = 6.87
3x/3 = 6.87/3
x = 2.29 per pair of socks
Answer:
The 80th term is 482
Step-by-step explanation:
8,14,20,26
This is an arithmetic sequence
Find the common difference by taking the second term and subtracting the first term
14-8 = 6
We are adding 6 each time
The formula for an arithmetic sequence is
an =a1+d(n-1) where a1 is the first term, d is the common difference and n is the term we are looking for
a80 = 8+6(80-1)
= 8 + 6*79
= 8+474
= 482
The 80th term is 482
Answer: 25 days
Step-by-step explanation:
The original number of students in the hostel was 50, and now it is 80 because 30 joined. So the original number of students was 5/8 of what it is now.
I use the inverse formula the number of days the food will last.
40 * 5/8 = 200/8 = 25
If there are 80 students, then the food will only last for 25 days.
Answer:
Y= -1x-1
Step-by-step explanation:
The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1
Answer:
Step-by-step explanation:
We can start solving this problem by doing a drawing of London Eye. (See attached picture).
From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:
where:
A=amplitude
= angular speed.
t= time (in minutes)
b= vertical shift.
In this case:
A= radius = 67.5 m
where the frequency is the number of revolutions it takes every minute, in this case:
so:
and
b= radius, so
b=A
b=67.5m
so we can now build our equation:
which can be factored to:
You can see a graph of what the function looks like in the end on the attached picture.