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3 years ago

A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth

Mathematics

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

suppose length is x

breadth is y

now,

x.y=18

2(x+y)= 18

x= 3

y=6

Step-by-step explanation:

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A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation $y = mx + b$ .

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The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do

xenn [34]

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

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<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method
Substitution Method
Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

$\texttt{ }$

Let:

Volumes of 2% Solution = x

Volumes of 10% Solution = y

$\texttt{ }$

Total Volume = 10 ml

$\boxed{x + y = 10}$ → Equation 1

$\texttt{ }$

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution.

$2 \% x + 10 \% y = 6 \% (10)$

$2x + 10y = 6(10)$

$\boxed{x + 5y = 30}$ → Equation 2

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Equation 1 - Equation 2:

$( x + y ) - ( x + 5y ) = 10 - 30$

$-4y = -20$

$y = -20 \div -4$

$y = 5 \texttt{ ml}$

$\texttt{ }$

$x + y = 10$

$x + 5 = 10$

$x = 5 \texttt{ ml}$

$\texttt{ }$

<h2>Conclusion:</h2>

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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2 years ago