1. Daniel filled the gas tank with 18.2 gallons of gas then he drove 373.7 miles before needing to fill up his gas again Daniel wants to build an equation to figure out his miles per gallon. Round the final answer to the nearest tenth.
2. 5/8y =4 3/4
3. -5 3/4 + x = (-3 1/2
4. Abrahams soccer tram won 2/3 of their games, the team won 14 games how many games did they play this season
Please provide me with any work
(b) We set up an equation: \(\frac{2}{3}x=14 \longrightarrow x=14*\frac{3}{2} \longrightarrow \boxed{x=21}\) games.
Daniel filled the gas tank with 18.2 gallons of gas then he drove 373.7 miles before needing to fill up his gas again Daniel wants to build an equation to figure out his miles per gallon. Round the final answer to the nearest tenth.
Mpg = Miles Driven / Gallons Used = 373.7 / 18.2 ≈ 20.5 mpg
5/8y = 4 3/4
4 3/4 = 19/4 ....so we have
5/8 y = 19/4 multiply both sides by 8/5
y = (19/ 4) (8/5) = 152 / 20 = 38 / 5
-5 3/4 + x = (-3 1/2 )
- ( 5 3/4) = - ( 23/4)
- ( 3 1/2) = - (7/2) = - ( 14 / 4)
So we have
-23/4 + x = -14/4 add 23/4 to both sides
x = -14/4 + 23/4 = 9/4
Abrahams soccer tram won 2/3 of their games, the team won 14 games how many games did they play this season
Games won = 14 / (2/3) = 14 * (3/2) = ( 14/2) * 3 = 7 * 3 = 21