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

Guest Nov 29, 2018

edited by
Guest
Nov 29, 2018

#1**+2 **

(b) We set up an equation: \(\frac{2}{3}x=14 \longrightarrow x=14*\frac{3}{2} \longrightarrow \boxed{x=21}\) games.

tertre
Nov 29, 2018

#2**+2 **

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

CPhill
Nov 29, 2018