Pregunta
upstudy study bank question image url

An online fax company, EFaxdt.com, has a customer plan where a subscriber pays a monthly subscription fee of \( \$ 18.5 \) dollars and can send/receive 80 fax pages at no additional cost. For each page sent or received past the 80 page limit, the customer must pay an overage fee of 50.06 per page. The following expression gives the total cost, in dollars, to send \( p \) pages beyond the plan's monthly limit. \( C=0.06 p+18.5 \) If the monthly bill under this plan comes out to be \( \$ 21.5 \), what was the total number of pages that were sent or received? Answer: The total number of pages sent/received was Next Question

Ask by Patel Cummings. in the United States
Mar 10,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The total number of pages sent or received was 130.

Solución

Let \( p \) denote the number of extra pages sent/received beyond the 80-page limit. The total cost is given by \[ C = 0.06p + 18.5. \] Given that the total bill is \( \$21.5 \), we have \[ 0.06p + 18.5 = 21.5. \] **Step 1:** Subtract \( 18.5 \) from both sides: \[ 0.06p = 21.5 - 18.5 = 3. \] **Step 2:** Solve for \( p \) by dividing both sides by \( 0.06 \): \[ p = \frac{3}{0.06} = 50. \] This means \( 50 \) pages were sent/received beyond the monthly limit. **Step 3:** Add the included \( 80 \) pages to the extra \( 50 \) pages to find the total number of pages: \[ \text{Total pages} = 80 + 50 = 130. \] Thus, the total number of pages sent/received was \( 130 \).

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Bonus Knowledge

To find the total number of pages sent or received, we first look at the total cost formula given, \( C = 0.06p + 18.5 \). We know the total cost was \( 21.5 \). So, we set up the equation: \[ 21.5 = 0.06p + 18.5 \] Subtract \( 18.5 \) from both sides: \[ 21.5 - 18.5 = 0.06p \] \[ 3 = 0.06p \] Now, divide both sides by \( 0.06 \): \[ p = \frac{3}{0.06} \] \[ p = 50 \] Now, add this to the initial 80 pages included in the plan: Total pages = \( 80 + 50 = 130 \). So, the total number of pages sent or received was **130 pages**.

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad