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Temka [501]
3 years ago
15

PLEASE HELP!!

Mathematics
1 answer:
artcher [175]3 years ago
8 0

To solve for f, you need to isolate/get the variable by itself in the equation:

4(0.5f - 0.25) = 6 + f       Distribute 4 into (0.5f - 0.25)

(4)0.5f + (4)(-0.25) = 6 + f

2f - 1 = 6 + f        Subtract f on both sides to get "f" on one side of the equation

2f - f - 1 = 6 + f - f

f - 1 = 6       Add 1 on both sides to get "f" by itself

f - 1 + 1 = 6 + 1

f = 7

PROOF

4(0.5f - 0.25) = 6 + f      Substitute/plug in 7 into "f" since f = 7

4(0.5(7) - 0.25) = 6 + 7

4(3.5 - 0.25) = 13

4(3.25) = 13

13 = 13

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So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

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Let's find out.

To solve this problem, the following will come in handy:

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How much time would have it taken bus B to reach that same distance?

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It will take 2.\overline{6} more hours than bus A for bus B to complete a distance of 390 miles.

So bus B traveled 2.\overline{6} \cdot 45=120 miles (used the time*speed=distance) after bus A got to it's destination.

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