ABC shipping charges $7 plus $1 a pound to ship an overnight package. XYZ shipping charges $10 plus $0.75 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

x = lbs

y = total cost

ABC shipping: $7 + $1x = y

XYZ shipping: $10 + $0.75x = y

We set each equation equal to the other.

$7 + $1x = $10 + $0.75x. Subtract $7 from both sides and subtract $0.75x from both sides

$0.25x = $3. Divide each side by $0.25.

x = 12 lbs

When a package is 12lbs the cost is the same.

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step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,