contestada

A 675-meter bike trail passes through forest and meadows . There are six legs of the trail that cut through meadows: two legs measure 24 3/4 meters, three legs measure 52.25 meters, and one leg 32 meters. The rest of the trail passes through forest. How many meters of the trail pass through the forest?

Respuesta :

calculista

Answer:

[tex]436.75\ m[/tex]  or  [tex]436\frac{3}{4}\ m[/tex]

Step-by-step explanation:

Let

x -------->  meters of the trail that passes through forest

y -------->  meters of the trail that passes through meadows

we know that

[tex]x+y=675[/tex] ------> equation A

[tex]y=2(24\frac{3}{4})+3(52.25)+32[/tex]

Remember that

[tex]24\frac{3}{4}=24.75[/tex]

substitute

[tex]y=2(24.75)+3(52.25)+32[/tex]

[tex]y=238.25[/tex] ----> equation B

substitute equation B in equation A and solve for x

[tex]x+238.25=675[/tex]

[tex]x=675-238.25[/tex]

[tex]x=436.75\ m[/tex]

or

[tex]x=436\frac{3}{4}\ m[/tex]

0042480

Answer:

436.75

Step-by-step explanation:

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