Answer:
y=12
x=48
Step-by-step explanation:
Relationship shows that
y=1/4x
if we put y=12 and x=48 it holds.
So 15 gallons of gas brought it from 1/8 full to 3/4 full.
Let's change 3/4 to the equivalent fraction 6/8 so that the denominators are the same. (3/4 = 6/8)
So 15 gallons of gas brought it from 1/8 to 6/8 Those 15 gallons must be 5/8 of the tank's capacity 6/8 - 1/8 = 5/8
So 15 is 5/8 of what number? (This will tell us the capacity of the whole tank)
15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8 = 15 x 8/5 = 18
So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.
Check - at first 1/8 full (1/8 of 24 = 3) So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons. Now the tank is 6/8 (3/4 full). The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons) so it will need 6 gallons to fill it up..
Answer:
The answer to your question is 757.1 cm²
Step-by-step explanation:
Data
Ratio 1: 1.618
long side = 35 cm
Area = ?
Process
1.- Use proportions to solve this problem
1 : 1.618 :: x : 35
x = (35 x 1) / 1.618
x = 35 / 1.618
x = 21.63
2.- Calculate the area of the rectangle
Area = base x height
Area = 35 x 21.63
Area = 757.1 cm²
