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IceJOKER [234]
3 years ago
10

a train is traveling from New Orleans to Memphis at a speed of 79 mph. New Orleans and Tennessee are 397.1 miles apart. How long

will the train take to reach Tennesse?
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0
<span>The train will need 5 hours to reach Tennessee</span>
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Answer:

Step-by-step explanation:12x=5x+14, 7x=14,

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Solving systems of equations using any method
andreev551 [17]

Answer:

x = 5 , y = 2

Step-by-step explanation:

Solve the following system:

{y = (7 x)/5 - 5 | (equation 1)

{y = (3 x)/5 - 1 | (equation 2)

Express the system in standard form:

{-(7 x)/5 + y = -5 | (equation 1)

{-(3 x)/5 + y = -1 | (equation 2)

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{-(7 x)/5 + y = -5 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 1 by 5:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 2 by 7/4:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+y = 2 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(7 x)+0 y = -35 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 5 | (equation 1)

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3 years ago
2 2/3 of what number is 6 1/7
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2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}

Solution:

Given 2\frac{2}{3} of what number is 6\frac{1}{7}.

Let us first convert the mixed fraction into improper fraction.

$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}

$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}

Now, let us take the unknown number be x.

$2\frac{2}{3}\times x=6\frac{1}{7}

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Do the cross multiplication.

$ x=\frac{43}{7}\times\frac{3}{8}

$ x=\frac{43\times3}{7\times8}

$ x=\frac{129}{56}

Now, again change the improper fraction into mixed fraction.

$ x=2\frac{17}{56}

Hence 2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}.

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