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# I Really need help! :c

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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

Nov 29, 2018
edited by Guest  Nov 29, 2018

#1
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(b) We set up an equation: $$\frac{2}{3}x=14 \longrightarrow x=14*\frac{3}{2} \longrightarrow \boxed{x=21}$$ games.

Nov 29, 2018
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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   Nov 29, 2018