Mathematics: Find two positive numbers whose ratio is 2: 3 and whose product is 600

Find two positive numbers whose ratio is 2: 3 and

Ответ:

mikealonso

30.12.2021

X, y - the numbers

The ratio of x to y is 2:3.
$\frac{x}{y}=\frac{2}{3} \\
3x=2y \\
x=\frac{2}{3}y$

Their product is 600.
$xy=600 \\ \\
\hbox{subsitute } \frac{2}{3}y \hbox{ for x and solve for y:} \\
\frac{2}{3}y \times y=600 \\
\frac{2}{3}y^2=600 \\
y^2=600 \times \frac{3}{2} \\
y^2=900 \\
y=\pm \sqrt{900} \\
y=-30 \ \lor \ y=30 \\ \\
\hbox{the numbers are positive so y=30} \\
xy=600 \\
x \times 30=600 \\
x=\frac{600}{30} \\
x=20$

The numbers are 20 and 30.

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Ответ:

tinatis

23.05.2020

Mathematics

C. $12

Step-by-step explanation:

Let the ticket costs x, then we have the following equation:

(x - 5)*8 = 56x - 5 = 56/8x - 5 = 7x = 7 + 5x = 12

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Find two positive numbers whose ratio is 2: 3 and whose product is 600

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