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Oksana_A [137]
3 years ago
5

in November 2013, the exchange rate between Australian dollars (A$) and singapore dollar (S$) offered by a money changer was A$1

00=S$x. in December 2013, the exchange rate offered was A$100=S$(x-5). Mr neo found that, every S$65 he exchanged in december 2013, he would receive A$2 more than if he exchanged in November 2013. (a) formulate an equation in x. (b) find the value of x. (c) find the amount of singapore dollars mr neo received if he exchanged A$125 in November 2013 (WITH WORKING PLS)
Mathematics
1 answer:
rodikova [14]3 years ago
7 0
<span>(A) formulate an equation for x: A$100= S$(65-5) So A$100= S$(60) So A($100)/60 = S$(60)/60 THEN A(1.66)= S$(1) (B) find the value of x: (By the previous equation provided x = ((A$100)/(S$))+5 (C) find the amount of Singapore dollars mr neo received if he exchanged A$125 in November 2013: IF A$(1.66)=S$(1) then A$(1.66x125)= S$(207.50) Thank you!</span>
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Answer:

18.1437

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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]

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Further explanation</h3>

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

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

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{ }

<em>Let:</em>

<em>Volumes of 2% Solution = x</em>

<em>Volumes of 10% Solution = y</em>

\texttt{ }

<em>Total Volume = 10 ml</em>

\boxed{x + y = 10} → <em>Equation 1</em>

\texttt{ }

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

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

2x + 10y = 6(10)

\boxed{x + 5y = 30} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1 - Equation 2:</em>

( 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>

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\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

6 0
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The point A(0,3) and point B(4,19) lie on the line L.<br> Find the equation of line L
IRISSAK [1]

Answer:  The equation is   y = 4x+3

Slope = 4

y intercept = 3

========================================================

Explanation:

Let's start off by finding the slope.

A = (x_1,y_1) = (0,3) \text{ and } B = (x_2,y_2)  = (4,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 3}{4 - 0}\\\\m = \frac{16}{4}\\\\m = 4\\\\

The slope is 4.

The y intercept is 3 because of the point (0,3)

We go from y = mx+b to y = 4x+3

m = slope

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---------------

Check:

Plug in x = 0 and we should get to y = 3

y = 4x+3

y = 4(0)+3

y = 0+3

y = 3

That works out. Now try x = 4. It should lead to y = 19

y = 4x+3

y = 4(4)+3

y = 16+3

y = 19

The answer is confirmed.

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