Final answer:
To solve for v in the equation 48=14v-8v, we first combine like terms to get 48=6v, then divide both sides by 6 to isolate v, resulting in v=8. To find w using the proportion 1/48=w/16, we multiply both sides by 16 and simplify, so w=1/3 or 0.333.
Step-by-step explanation:
To solve the equation 48=14v-8v we first simplify the equation by combining like terms on the right side. To do this, subtract 8v from 14v, which gives us:
48 = 6v
Now, we want to solve for v. To isolate v, divide both sides of the equation by 6:
v = 48 / 6
Therefore, v = 8.
Now to solve for w using the proportion 1/48 = w/16. To find w, we multiply both sides of the proportion by 16:
1 / 48 = w / 16
16 * (1 / 48) = (w / 16) * 16
Therefore, w = 1/3 or about 0.333.