Example Question - ratio
Here are examples of questions we've helped users solve.
Geometry Problem Involving Cylinders
<p>设小球体积为 \( V \)，则大球体积为 \( 4V \)。</p> <p>根据题目条件，\( 4V \) 的球体装满小球后多余 \( \frac{1}{4} \times 4V = V \) 的体积。</p> <p>则装入大球内的小球体积总和为 \( 4V - V = 3V \)。</p> <p>所以装入了 \( \frac{3V}{V} = 3 \) 个小球。</p>
Finding Unknown Side Length in Triangles
The image displays two triangles, a LARGER triangle and a SMALLER triangle. The sides of the larger triangle are 21, 15, and 18. The problem states that the ratio of the larger triangle to the smaller triangle is 3, which typically means that each side of the larger triangle is 3 times the length of the corresponding side on the smaller triangle. To find the unknown side of the smaller triangle, which we will call 'x', we look at the corresponding side on the larger triangle, which is 18. Since the ratio is 3, we divide the larger side by 3 to find the smaller side. \[ x = \frac{18}{3} \] \[ x = 6 \] So, the unknown side of the smaller triangle is 6 units in length.
Determination of Current Ages and Ratio of Ana and Her Mother
Para resolver esta pregunta, primero debemos determinar las edades actuales de Ana y su madre. Sabemos que hace 10 años, las edades de Ana y su madre eran 15 y 40 años, respectivamente. Llamaremos \( A \) a la edad actual de Ana y \( M \) a la edad actual de su madre. Dado que han pasado 10 años desde que Ana tenía 15 años y su madre 40, podemos establecer dos ecuaciones: \( A = 15 + 10 \) \( M = 40 + 10 \) Resolviendo estas ecuaciones obtenemos: \( A = 25 \) \( M = 50 \) Ahora que conocemos las edades actuales, podemos calcular la razón entre las edades de Ana y su madre: \( \text{Razón} = \frac{A}{M} \) \( \text{Razón} = \frac{25}{50} \) Simplificando la fracción: \( \text{Razón} = \frac{1}{2} \) Por lo tanto, la razón entre las edades actuales de Ana y su madre es de 1/2, lo que corresponde a la opción c) 1/2.
Ratio of Colored Part in Square
Phần được tô đậm trong hình cho biết tỉ lệ phần đã được tô so với toàn bộ hình. Hình vuông được chia thành tổng cộng 4 hình vuông nhỏ hơn, và chỉ có 1 trong số đó được tô đậm. Do đó, tỉ lệ phần đã được tô so với toàn bộ hình là 1 phần trên tổng số 4 phần. Như vậy, câu trả lời cho câu hỏi đó là: D. \(\frac{1}{4}\)
Finding the Ratio of 2a to b
The question asks for the ratio of \(2a\) to \(b\) given that the ratio of \(a\) to \(b\) is \(1:5\). Given: \[\frac{a}{b} = \frac{1}{5}\] To find: \[\frac{2a}{b}\] To calculate this, you can multiply both sides of the first equation by 2. This will give you the ratio of \(2a\) to \(b\). \[\frac{2a}{b} = \frac{1 \times 2}{5}\] \[\frac{2a}{b} = \frac{2}{5}\] So, the ratio of \(2a\) to \(b\) is \(2:5\). The correct answer would be: C) \(2\) to \(5\)
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