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3 years ago

One added to the quotient of m and 3 is less than 2

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

8 0

Answer:

m < 3

Step-by-step explanation:

Step 1: Convert words into an expression

One added to the quotient of m and 3 is less than 2

(m/3) + 1 < 2

Step 2: Subtract 1 from both sides

(m/3) + 1 - 1 < 2 - 1

(m/3) < 1

Step 3: Multiply both sides by 3

(m/3) * 3 < 1 * 3

m < 3

Answer: m < 3

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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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3 years ago

One added to the quotient of m and 3 is less than 2​

One added to the quotient of m and 3 is less than 2