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AVprozaik [17]
3 years ago
14

Blank precent of 200miles is 150 miles

Mathematics
2 answers:
Sloan [31]3 years ago
6 0
The answer:  75 % of 200 miles is 150 miles.
________________________________________________
 Explanation:
__________________________________________________
\frac{x}{100}  * 200 = 150  ;
__________________________________________________
Solve for "x" ;
_____________________________________
 → Divide each side of the equation by "200" ;
__________________________________________
 → ( \frac{x}{100}  * 200) / 200 = 150 / 200 ;
__________________________________________
   → \frac{x}{100}  = \frac{150}{200}  ;
__________________________________________________
      ↔   \frac{150}{200} =   \frac{x}{100}  ;
___________________________________________________
   → (150 ÷ 2) / (200 ÷ 2) = x / 100 ;  Solve for "x" ; 
_______________________________________________
  → x = 150 ÷ 2 = 75 .
_______________________________________________________
gavmur [86]3 years ago
5 0
150/200×100%=75%
75% of 200 miles is 150 miles
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<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed{y - y_1 = m ( x - x_1 )}}

<em>Let us tackle the problem!</em>

\texttt{ }

This problem is about Directly Proportional.

<em>There were 8 engineers under every team leader.</em>

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\texttt{ }

<em>There were 5 project managers for every 50 engineers.</em>

\texttt{50 engineers} \rightarrow \texttt{5 project managers}

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\texttt{ }

<h3>Learn more</h3>
  • Infinite Number of Solutions : brainly.com/question/5450548
  • System of Equations : brainly.com/question/1995493
  • System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

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{ \qquad\qquad\huge\underline{{\sf Answer}}}

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\qquad \sf  \dashrightarrow \: m =  \cfrac{16}{8}

\qquad \sf  \dashrightarrow \: m = 2

Slope of the line (m) joining the two points is 2 ~

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