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mojhsa [17]
3 years ago
7

Ans with steps.. Tysm Plzz asap!!

Mathematics
2 answers:
WARRIOR [948]3 years ago
5 0

Answer:

10x^2 + 8x

Step-by-step explanation:

Area of the outer rectangle = 5x(3x + 2) = 15x^2 + 10x

Area of the inner rectangle = x(5x - 2) = 5x^2 - 2x

Area of the shaded region = (15x^2 + 10x) - (5x^2 - 2x)

= 10x^2 + 8x

Marrrta [24]3 years ago
3 0

5x(3x + 2) - x(5x - 2) required expression.

Step-by-step explanation:

I get there are 2 rectangles in figure.

How can I get the area of shaded region? What if, I subtract the area of inner rectangle from outer rectangle. Ya It will surely work (⌒o⌒).

Now,

Area of outer rectangle = \sf length \times  breadth

5x \times (3x + 2)

5x(3x + 2)

Again,

Area of inner rectangle = \sf length \times  breadth

=x \times (5x - 2)

=x(5x - 2)

\sf Area \:of \:Shaded\: region = \: Area_{\:outer}-Area_{\:inner}

\sf \: 5x(3x + 2) - x(5x - 2)

If We simplify further then,

= 15x² + 10x - 5x² + 2x

= 10x² + 12x

Area of shaded region is 10x² + 12x in a simple way.

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6 0
2 years ago
A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a
jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

so

I)

\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\  \end{gathered}

if he has 14 liters of 4% acid solution

x=14

\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\  \end{gathered}

Step 2

solve the equation :

\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

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