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kkurt [141]
3 years ago
6

samuel fell asleep after they had travelled 90 miles. if the total length of the trip was 600 miles, what percentage of the tota

l trip had they travelled when samuel fell asleep?
Mathematics
1 answer:
natali 33 [55]3 years ago
5 0
<h2>Answer:</h2><h2>Samuel fell asleep after travelling 90 miles which is 15%of their total trip distance.</h2>

Step-by-step explanation:

The total length of the trip = 600 miles

Samuel fell asleep after they had travelled  = 90 miles

Percentage of the total trip travelled when samuel fell asleep = \frac{90}{600} (100)

= 15%

Samuel fell asleep after travelling 90 miles which is 15%of their total trip distance.

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Answer:

  • Solution of equation ( x ) = <u>7</u>

Step-by-step explanation:

In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>

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<u>\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )</u>

<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

\quad \longrightarrow \:20x - 8 = 18x + 6

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\quad \longrightarrow \:20x - \cancel{ 8 }+  \cancel{8} = 18x + 6 + 8

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\quad \longrightarrow \:20x = 18x + 14

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\quad \longrightarrow \:20x - 18x =  \cancel{18x }+ 14 -  \cancel{18}

On further calculations we get :

\quad \longrightarrow \:2x = 14

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}}  =   \cancel{\frac{14}{2} }

On further calculations we get :

\quad \longrightarrow \:  \blue{\boxed{ \frak{x = 7}}}

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  • L.H.S = R.H.S

  • Hence, Verified.

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<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
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