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Mathematics

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laiz [17]3 years ago

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Answer:

are the 1,2,3,4,5 suppose to be question's???

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a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.

ipn [44]

Given:

Speed $= \bold{9.2 \ \frac{miles}{hour}}$

$\therefore \\\\$

1-hour= 60 minutes

1-minutes=60 second

1-hour= 3600 second

Converting the given time into seconds:

Time= 6 minutes and 30 second

$=\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\$

When 3600 seconds covers=9.2 miles

Then equation:

$=\bold{\frac{9.2}{3600}}\\\\$

390 seconds covers:

$=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\$

Let

$\bold{1 \ miles= 1760\ yard}\\\\$

Convert the traveling value into yards:

$=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\$

Therefore, total traveling yards are"1754.072".

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7 0

3 years ago

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3 x + 2 3 3 12 32 12 Solve for x.

Dafna11 [192]

Answer:

explanation

$since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6$