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goblinko [34]
3 years ago
5

Can you help me solve and show at least 3 steps please

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

x = 80 / 79 [improper fraction]

x = 1 ¹⁄₇₉ [mixed fraction]

x = 1 + 0.\overline{0126582278481}

[decimal]

x ≈ 1.01 [decimal to nearest hundredth]

Step-by-step explanation:

10.3x + 4.5x = 15

(10.3 + 4.5)x = 16

(15.8)x = 16

(15.8)x / 15.8 = 16 / 15.8

x = 16 / 15.8

x = (16) / (15 + ⁸⁄₁₀)

x = (16) / (15 + ⅘)

x = (16) / (15 ⅘)

x = (16) / (79 / 5)

x = (16) × (5 / 79)

x = 80 / 79

x = 1 ¹⁄₇₉

x = 1 + ¹⁄₇₉

x = 1 + 0.\overline{0126582278481}

x ≈ 1.01

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Answer:

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Step-by-step explanation:

We will make a table of the trip there and back using the formula distance = rate x time

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The distance there and back is 264 miles, so we can split that in half and put each half under d:

               d            =         r        x        t

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It tells us that the trip there is with the wind and the trip back is against the wind:

           

              d           =        r         x        t

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back      132       =     (r - w)

Finally, the trip there took 3 hours and the trip back took 6:

           

             d         =        r        *        t

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There's the table.  Using the distance formula we have 2 equations that result from that info:

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We are looking to solve for both r and w.  We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:

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