Answer:
6
Step-by-step explanation:
We have y ∝ x which is another way of saying y varies directly with x
We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality
So y = kx or x = y/k
using y and x values know, we can solve for k and then solve for any x given y
We have
y = 37.4 = k (17)
Therefore k = (37.4/17) = 2.2
To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 = 6
Xy^2 = 4,7^2 +6,5^2
xy^2 = 22,09 +42,25
xy = sqrt(64,34)
xy = 8,02
Set the 2 equations equal to each other since they both equal Y. then solve for X by moving all constants to one side and the X's to the other. you should get x=-3
Add the opposite of any terms that don't have r.
.. K +7s = 4r
Divide by the coefficient of r.
.. (K +7s)/4 = r
Answer:
3900
Step-by-step explanation:
We want the sum from 5 to 195
5, 10, 15, 20,......195
an = 5 + 5(n-1) since we can write this as an arithmetic sequence, adding 5 each time
The sum of the terms of an arithmetic sequence is given by
Sn = n/2 [2a1 + (n - 1)d],
where d is the common difference of 5 and n is the term we want to add to
195/5 = 39 so it is the 39th term
s39 =39/2 [2*5 + (39-1)*5)]
s38 = 19.5[10+38*5]
=19.5*[10+190]
19.5*200
=3900