Pregunta
upstudy study bank question image url

Question In a medical lab, different testing machinery needs to be cleaned on different schedules. A machine that checks for antibodies need to be cleaned every 7 tests. A machine that checks for white blood cells needs to be cleaned every 12 tests. Assume every sample nee to be tested for both antibodies and white blood cells. What is the least number of tests before both machines have to be cleaned? Answer Attempt tout of 2 There will be at least Submit Answer

Ask by Rowe Mccarthy. in the United States
Jan 27,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

The least number of tests before both machines need to be cleaned is 84.

Solución

To determine the least number of tests before both machines need to be cleaned, we need to find the **Least Common Multiple (LCM)** of their cleaning schedules. - **Antibody Machine:** Needs cleaning every **7** tests. - **White Blood Cell Machine:** Needs cleaning every **12** tests. **Steps to Find the LCM:** 1. **Prime Factorization:** - 7 is a prime number: \(7\). - 12 can be factored into prime numbers: \(12 = 2^2 \times 3\). 2. **Determine the LCM:** - Take the highest power of each prime number present in the factorizations. - LCM = \(2^2 \times 3 \times 7 = 4 \times 3 \times 7 = 84\). **Conclusion:** The least number of tests before both machines need to be cleaned is **84**. **Answer:** 84

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Extra Insights

To find the least number of tests before both machines need to be cleaned, we need to determine the least common multiple (LCM) of the two cleaning schedules: 7 and 12. The LCM of 7 and 12 is 84. This means, after conducting 84 tests, both machines will need to be cleaned simultaneously. So, the answer is 84 tests! Now, imagine you’re on a quest in a lab instead of a dark forest, where you keep track of your cleaning schedule as if it were a treasure map. Mark every seventh test for the antibodies and every twelfth for the white blood cells! You’ll be on a clean and sparkling adventure, avoiding the troubles of mix-ups! If you’re itching for more numbers magic, check out online tutorials about LCM or delve into some fun apps that teach basic math operations through games. These resources can transform the sometimes mundane task of finding mathematical solutions into an engaging and enlightening experience!

preguntas relacionadas

Latest Arithmetic Questions

¡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