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Verizon [17]
4 years ago
15

Erica can run 1/6​ start fraction, 1, divided by, 6, end fraction of a mile in a minute. Her school is \dfrac23 ​3 ​ ​2 ​​ start

fraction, 2, divided by, 3, end fraction of a mile away from her home. At this speed, how long would it take Erica to run home from school?
Mathematics
2 answers:
MatroZZZ [7]4 years ago
8 0

Answer:

4.5 minutes

Step-by-step explanation:

EastWind [94]4 years ago
4 0
Her school is 2/3 miles away

2/3=4/6miles

So we need to find out how long it will take for her to run home from school...

School=4/6 miles

In 1 minutes she can run 1/6 miles

1min=1/6miles

In 2 minutes she can run 1/6+1/6 miles (1/6+1/6=2/6)

2min=2/6miles

3min=3/6miles

4min=4/6miles

It will take Erica 4 minutes to run 4/6 miles, so it'll take her 4 minutes to get home.


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Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

\rm\displaystyle 5 - 2x =  \sqrt{ {2x}^{2} + x - 1 }  - x

to do so isolate -x to the left hand side and change its sign:

\rm\displaystyle 5 - 2x + x =  \sqrt{ {2x}^{2} + x - 1 }

simplify addition:

\rm\displaystyle 5 - x =  \sqrt{ {2x}^{2} + x - 1 }

square both sides:

\rm\displaystyle (5 - x {)}^{2}  =  (\sqrt{ {2x}^{2} + x - 1 }  {)}^{2}

simplify square of the right hand side:

\rm\displaystyle (5 - x {)}^{2}  =  {2x}^{2} + x - 1

use (a-b)²=a²-2ab+b² to expand the left hand side:

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swap the equation:

\rm\displaystyle   {2x}^{2} + x - 1 =  {x}^{2}  - 10x + 25

isolate the right hand side expression to the left hand side and change every sign:

\rm\displaystyle   {2x}^{2} + x - 1 - {x}^{2}   + 10x  -  25 =  0

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rewrite the middle term as 13x-2x:

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factor out x:

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factor out -2:

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