To find K, we must use the fact that
on the day 200 books were printed
the average cost was $ 9 per book.
Thus, substituting the values, we have:
c (x) = (5.5x + k) / (x)
9 = (5.5 (200) + k) / (200)
Clearing K
(200) * 9 = 5.5 (200) + k
k = (200) * 9 - 5.5 * (200)
k = 700
answer
the value of the constant k is 700
Answer:
15x + 20y
Step-by-step explanation:
First, we need to combine like terms,
10x + 20y + 5x
15x + 20y
Since x and y are different variables, we cannot combine them, meaning that the answer is,
15x + 20y
Answer:
x = 12 , y = 10
Step-by-step explanation:
Let x , y are two numbers.
x > y
1 ) Three times the greater is 18 times their
difference
3x = 18( x - y )
x = 6( x - y )
x = 6x - 6y
6y = 5x
y = 5x/6 ——-( 1 )
2 ) 4 times the smaller is 4 less than twice
the sum of the two
4y + 4 = 2 ( x + y )
2y + 2 = x + y
y = x -2 ——( 2 )
From ( 1 ) and ( 2 ) ,
5x/6 = x -2
( 5x /6 ) - x = -2
( 5x - 6x ) /6 = -2
-x = -12
x = 12
Put x = 12 in equation ( 2 ) , we get
y = 12 - 2
y = 10
Therefore ,
x = 12 , y = 10
Givens
<em><u>Slower car</u></em>
r = r
t = 12 hours
d = ?
<em><u>Faster car</u></em>
r = r + 20
t = 8 hours
d = ?
It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.
d = r * t
r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right
r*12 = 8r + 20*8
r*12 = 8*r + 160
r*12 - 8r = 8r - 8r + 160
4r = 160
r = 40 miles / hour
=================
Slower Ride determines the distance.
d = r*t
d = 40 * 12
d = 480
Check
Use the faster rate (r + 20) = 40 + 20 = 60 mph
60 * 8 = 480. Both distances work out to be the same.