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dmitriy555 [2]
3 years ago
11

What is the value of the expression shown when n = 6?

Mathematics
1 answer:
IrinaK [193]3 years ago
5 0

Answer:

8 less then the quotient of 42 and a number

a " quotient " is the result of division

(42 / n ) - 8.....when n = 6

(42/6) - 8 =

7 - 8 =

-1

so when n = 6, the expression = -1

Step-by-step explanation:

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Then, according to the given information, we have

\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

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\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.

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