Prove that 3:8 is equivalent to 12:32.

1 answer:

7 0

3:8 can also be written as 3/8

12:32 can also be written as 12/32

 $\frac{12}{32} = \frac{3\times 4}{8\times 4} = \frac{3}{8}$

So thus 3:8 is equivalent to 12:32

You might be interested in

45 minutes to 1 hour ratio

Mariana [72]

$h-hour(s)\\min-minute(s)\\\\1h=60min\to45min=\dfrac{45}{60}h=\dfrac{45:15}{60:15}h=\dfrac{3}{4}h\\\\45min\ to\ 1h=\dfrac{3}{4}h:1h=\huge\boxed{3:4}$

7 0

3 years ago

Read 2 more answers

List the following numbers from least to greatest -5/3, 7/3, -3/4, 7/5.

sukhopar [10]

-3/4, -5/3, 7/5, 7/3

6 0

3 years ago

If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2 Express answer as a common fraction. Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

3 0

3 years ago

Please answer this question! PLEASE! Make advertisement for Asian trade goods that change European life.

Monica [59]

Some spices Were traded from asia to europe. Some include pepper, cloves, cinomin, and nut meg. Some of these spices could cover up the taste of spoiled meat. Most europeans loved them.

5 0

3 years ago

Determine wether or not each of the following sequences is a geometric sequence check all that apply

kap26 [50]

Answer:3 & 4

Step-by-step explanation: those are the two with multiplication/division

5 0

2 years ago