Establish a proportion.
8/127=15/x
Cross multiply
8x=1,905
Divide each side by 8
x=238.125
The greatest of the actual distances is 238.125 km.
Hope this clarification helps:)
114/6=9 parts per minute. 9 parts * 15 minutes= 135 parts
Response:
x = -y-12/5 + 4k
Detailed explanation:
Solve for x in the equation 12 - 5x - 4kx = y
12 - 5x - 4kx = y
Subtract 12 from both sides
-5x - 4kx = y - 12
Factor out -5x - 4kx to get -x(5 + 4k)
-x(5 + 4k) = y - 12
Now isolate x
-x = (y - 12)/(5 + 4k)
Thus, x = -y - 12/5 + 4k
The price of the pencil is $0.25.
To arrive at this conclusion, divide 1.50 by 2 to get 0.75, then deduct 0.5, yielding 0.25. The ruler would be $0.75 plus $0.5, making it $1.25, and the pencil would be $0.75 minus $0.5, totaling $1.50.
Alternatively, you can establish an equation. Let r represent the ruler's cost and p the pencil's. The equations would be:
r + p = 1.50
r = p + 1.00
By substituting (p + 1.00) into the first equation for r, we get:
p + 1.00 + p = 1.50
Simplifying gives:
2p + 1.00 = 1.50
Subtracting 1.00 from both sides results in:
2p = 0.50
Dividing both sides by 2 leads to:
p = 0.25
Thus, the pencil is priced at $0.25.
Hope this clarifies things!:)
