Example Question - mathematics problem
Here are examples of questions we've helped users solve.
Unit Conversion from Liters to Milliliters
<p>Para convertir de litros a mililitros, se multiplica la cantidad en litros por 1000, ya que 1 litro equivale a 1000 mililitros.</p> <p>La conversión de 1.3 litros a mililitros se realiza de la siguiente manera:</p> <p>\( 1.3 \text{ L} = 1.3 \times 1000 \text{ ml} \)</p> <p>\( 1.3 \text{ L} = 1300 \text{ ml} \)</p> <p>Por lo tanto, \( 1.3 \text{ L} \) se convierten en \( 1300 \text{ ml} \).</p>
Math Problem Involving Percentages and Rounding
The provided image is unclear and the specific mathematical question or instructions are not visible, so I am unable to provide a step-by-step solution. If you can provide clearer instructions or the text of the question, I would be happy to assist with a solution.
Solving for the Perimeter of a Parallelogram
The image contains a mathematics problem that reads as follows: "If the sides of a parallelogram measure 14 inches and 0.5 yards, what is the perimeter of the parallelogram? SHOW WORK PLEASE" To solve for the perimeter of the parallelogram, we need to consider that a parallelogram has two pairs of equal length sides. First, we should convert all measurements to the same unit for easier calculation. Since 1 yard equals 36 inches, 0.5 yards is equal to 0.5 * 36 inches, which is 18 inches. Now that we have both measurements in inches, we can calculate the perimeter (P) by adding the lengths of all four sides: P = 2 * (length + width) P = 2 * (14 inches + 18 inches) P = 2 * (32 inches) P = 64 inches The perimeter of the parallelogram is 64 inches.
Solving a Linear Equation
这个数学问题是一个方程式，我们要解出 x 的值。方程式是： 60 - (x + 2) * 3 = 56 首先解括号内的加法: 60 - (x + 2) * 3 = 56 60 - x * 3 - 6 = 56 接下来解乘法: 60 - 3x - 6 = 56 然后把常数项合并在一起，并将它们移到等号的另一边: -3x = 56 - 60 + 6 -3x = 2 最后，为了得到 x 的值，我们需要将等式两边都除以 -3: x = 2 / -3 x = -2/3 因此，方程的解是 x = -2/3。
Solving a Mathematics Problem Involving Labor Capacity and Number of Workers
Para resolver este problema de matemáticas, emplearemos el concepto de la capacidad laboral y cómo esta varía con el número de trabajadores. Vamos a desglosar el problema paso a paso: 1. La empresa inicialmente contrata 6 obreros para hacer un trabajo en 24 días. Esto nos indica que el trabajo total requerido es equivalente a \(6\ obreros \times 24\ días = 144\ días-hombre\), refiriéndose a la cantidad de días de trabajo que un solo obrero tomaría para completar la tarea. 2. Después de 8 días de trabajo, el número de obreros aumenta a \(6 + 2 = 8\) obreros. En los primeros 8 días, los 6 obreros originales habrán podido realizar \(6 \times 8 = 48\ días-hombre\) de trabajo. 3. Lo que resta completar después de los primeros 8 días de trabajo es la diferencia entre el total requerido y lo ya realizado, lo cual es \(144\ días-hombre - 48\ días-hombre = 96\ días-hombre\). 4. Ahora, con 8 obreros trabajando, debemos calcular cuánto tiempo tomarán para completar las \(96\ días-hombre\) restantes. Para ello, dividimos el trabajo restante entre el número de obreros: \(96\ días-hombre ÷ 8\ obreros = 12\ días\). Por lo tanto, la obra se terminará en \(8\ días + 12\ días = 20\ días\) a partir del momento inicial. O si consideramos solo el tiempo restante después de que se unen los 2 obreros adicionales, se tomarían 12 días más para finalizar la obra.
Solving an Equation with No Solution
Para resolver la ecuación que se muestra en la imagen, seguiré los pasos uno a uno en español. La ecuación es: 5 - 2(1 - x) = 2x - 3 Primer paso, distribuir el -2 en la expresión entre paréntesis: 5 - 2*1 + 2x = 2x - 3 Se simplifica multiplicando: 5 - 2 + 2x = 2x - 3 Ahora, combinamos términos semejantes: 3 + 2x = 2x - 3 Luego, restamos 2x de ambos lados para obtener los términos "x" en el mismo lado: 3 = -3 Como acabamos de obtener una declaración falsa (3 no es igual a -3), esto indica que la ecuación no tiene solución. El resultado es que la ecuación es inconsistente y no existen valores de x para los cuales la ecuación original sea verdadera.
Solving a Simple Equation
To solve the equation given in the image, which is \( x + 5 + 6 = 2^3 \), you need to simplify and solve for x. First, simplify the right side of the equation: \( 2^3 = 2 \times 2 \times 2 = 8 \) So the equation becomes: \( x + 5 + 6 = 8 \) Next, combine like terms on the left side: \( x + 11 = 8 \) Now, to solve for x, you need to isolate the variable by subtracting 11 from both sides of the equation: \( x + 11 - 11 = 8 - 11 \) \( x = -3 \) Hence, the solution to the equation is \( x = -3 \).
Calculation of Candle Consumption Time
Para resolver esta pregunta, podemos establecer una relación de proporcionalidad directa entre la cantidad de vela consumida y el tiempo. Según el problema, sabemos que: - La vela mide originalmente 30 cm. - Después de estar encendida durante 12 minutos, la vela se reduce en 2,5 cm. Para hallar el tiempo total que se llevará en consumir toda la vela, usamos la siguiente proporción: 2,5 cm -- 12 minutos 30 cm -- x minutos Para resolver por x, podemos establecer la siguiente ecuación basándonos en la propiedad fundamental de las proporciones, es decir, que el producto de los medios es igual al producto de los extremos: 2,5 cm * x minutos = 30 cm * 12 minutos x = (30 cm * 12 minutos) / 2,5 cm x = 360 minutos / 2,5 x = 144 minutos Así que, para que se consuma toda la vela de 30 cm, se necesitarán 144 minutos. Por lo tanto, la respuesta correcta es la opción b) 144 minutos.
Solving a System of Equations using Substitution Method
Dựa vào hình ảnh bạn cung cấp, ta có hệ phương trình sau: a) \( \begin{cases} 3x = 5y \\ x + y = 40 \end{cases} \) Để giải hệ phương trình này, ta có thể sử dụng phương pháp thế. Bước đầu tiên là biểu diễn một biến thông qua biến còn lại từ một trong hai phương trình. Từ phương trình đầu tiên, ta có thể tìm ra mối quan hệ giữa x và y: \( x = \frac{5}{3}y \) Bây giờ, ta sẽ thế giá trị của x vào phương trình thứ hai: \( \frac{5}{3}y + y = 40 \) Để giải quyết phép toán này, ta cần quy đồng mẫu số: \( \frac{5y + 3y}{3} = 40 \) Kết hợp các số hạng ở tử số: \( \frac{8y}{3} = 40 \) Nhân cả hai vế với 3 để loại bỏ mẫu số: \( 8y = 120 \) Giờ ta chia cả hai vế cho 8 để tìm y: \( y = \frac{120}{8} \) \( y = 15 \) Với giá trị của y, ta thế vào phương trình x = (5/3)y để tìm x: \( x = \frac{5}{3} \times 15 \) \( x = 5 \times 5 \) \( x = 25 \) Vậy nghiệm của hệ phương trình là x = 25 và y = 15.
Solving an Equation with One Variable
لحل المعادلة الموجودة في الصورة، نحتاج إلى إيجاد قيمة المتغير \( u \) الذي يجعل المعادلة صحيحة. المعادلة المعطاة: \[ \frac{14}{u} = \frac{2}{3} \] لحل هذه المعادلة وإيجاد قيمة \( u \)، نتبع الخطوات التالية: 1. نضرب كلا الطرفين في \( u \) للتخلص من المقام. \[ u \times \frac{14}{u} = \frac{2}{3} \times u \] \[ 14 = \frac{2}{3} \times u \] 2. الآن نضرب كلا الطرفين في 3 للتخلص من الكسر. \[ 3 \times 14 = 2 \times u \] \[ 42 = 2u \] 3. نقسم الطرفين على 2 لإيجاد قيمة \( u \). \[ \frac{42}{2} = \frac{2u}{2} \] \[ 21 = u \] إذًا، قيمة \( u \) هي 21.
Finding the Area of a Square with Given Side Length
The image shows a mathematics problem asking to find the area of a square. The side length of the square is given as \( \frac{1}{3} \) yard. The formula to calculate the area of a square is \( \text{Area} = \text{side} \times \text{side} \). Using the given side length, the area can be calculated as follows: \( \text{Area} = \left(\frac{1}{3} \text{ yd}\right) \times \left(\frac{1}{3} \text{ yd}\right) \) \( \text{Area} = \frac{1}{3} \times \frac{1}{3} \text{ yd}^2 \) \( \text{Area} = \frac{1}{9} \text{ yd}^2 \) So the area of the square is \( \frac{1}{9} \text{ yd}^2 \) in simplest form, and that should include the correct unit as instructed, which is square yards (yd²).
Exponential Decay Population Prediction
The image depicts a mathematics problem involving an exponential decay model for a population. The model given is P(t) = 465,000(0.991)^t, where P(t) is the population at time t in years. The problem asks what this model predicts the population will be in 9 years. To solve for the population in 9 years, we substitute t with 9 in the model: P(9) = 465,000(0.991)^9 To calculate this: First, compute (0.991)^9: (0.991)^9 ≈ 0.9193 Then, multiply this result by 465,000: 465,000 * 0.9193 ≈ 427,568.5 Since we need to round to the nearest person, the predicted population would be approximately 427,569 people after 9 years.
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