Acceso
Prima
Hogar Banco de preguntas Matemáticas Álgebra
Pregunta
upstudy study bank question image url

\( ( 472.6 l : 17 ) - 88.75 d l + \square = ( 5 \frac { 7 } { 8 } l \cdot 24 ) \)

Ask by Delgado Reyes. in Switzerland
Feb 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

Das fehlende Glied in der Gleichung ist \( 113,2 \, \text{l} + 88,75 \, \text{dl} \).

Solución

Gegeben ist die Gleichung   (472,6 l : 17) – 88,75 d l + □ = (5 7/8 l · 24). Schritt 1: Berechnung des ersten Terms Der Ausdruck (472,6 l : 17) entspricht 472,6 l geteilt durch 17. Da 17 · 27,8 = 472,6, gilt:   472,6 l ÷ 17 = 27,8 l. Schritt 2: Berechnung des rechten Terms Der Term 5 7/8 lässt sich als gemischte Zahl in einen unechten Bruch umwandeln.   5 7/8 = 5 + 7/8 = (40/8 + 7/8) = 47/8. Multipliziert man diesen Wert mit 24, erhält man:   (47/8) · 24 = 47 · 3 = 141. Da hier l mitmultipliziert wird, ergibt sich:   (5 7/8 l · 24) = 141 l. Schritt 3: Auflösen nach dem unbekannten Term (□) Unsere Gleichung lautet jetzt:   27,8 l – 88,75 d l + □ = 141 l. Um □ zu isolieren, addieren wir 88,75 d l und subtrahieren 27,8 l von beiden Seiten:   □ = 141 l – 27,8 l + 88,75 d l     = (141 – 27,8) l + 88,75 d l     = 113,2 l + 88,75 d l. Ergebnis in Worten: Das fehlende Glied in der Gleichung muss also   113,2 l + 88,75 d l      sein.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Mind Expander

To solve the equation, let's first simplify the right side: \( 5 \frac{7}{8} l\) can be converted into an improper fraction. \(5 \frac{7}{8} l = \frac{47}{8} l\). Now, multiplying by 24 yields: \( \frac{47}{8} l \cdot 24 = \frac{47 \cdot 24}{8} l = \frac{1128}{8} l = 141 l \) Now, let's simplify the left side: First, calculate \(472.6 l : 17 = \frac{472.6}{17} l \approx 27.8 l\). The left side becomes: \(27.8 l - 88.75 d l + \square = 141 l\) To isolate \(\square\), rearranging the equation gives us: \(\square = 141 l - 27.8 l + 88.75 d l\) This results in: \(\square = 113.2 l + 88.75 d l\) So, \(\square\) is equal to \(113.2 l + 88.75 d l\).

preguntas relacionadas

e) \( (2 t-1)(2 t+1) \)
Álgebra United States Feb 26, 2025
ISCELÁNEA cribir, por simple inspección, el resultado de: \( \begin{array}{lll}(x+2)^{2} & \text { 14. }(x+y+1)(x-y-1) & \text { 27. }\left(2 a^{3}-5 b^{4}\right)^{2} \\ (x+2)(x+3) & \text { 15. }(1-a)(a+1) & \text { 28. }\left(a^{3}+12\right)\left(a^{3}-15\right) \\ (x+1)(x-1) & \text { 16. }(m-8)(m+12) & \text { 29. }\left(m^{2}-m+n\right)\left(n+m+m^{2}\right) \\ (x-1)^{2} & \text { 17. }\left(x^{2}-1\right)\left(x^{2}+3\right) & \text { 30. }\left(x^{4}+7\right)\left(x^{4}-11\right) \\ (n+3)(n+5) & \text { 18. }\left(x^{3}+6\right)\left(x^{3}-8\right) & \text { 31. }(11-a b)^{2} \\ (m-3)(m+3) & \text { 19. }\left(5 x^{3}+6 m^{4}\right)^{2} & \text { 32. }\left(x^{2} y^{3}-8\right)\left(x^{2} y^{3}+6\right) \\ (a+b-1)(a+b+1) & \text { 20. }\left(x^{4}-2\right)\left(x^{4}+5\right) & \text { 33. }(a+b)(a-b)\left(a^{2}-b^{2}\right) \\ (1+b)^{3} & \text { 21. }(1-a+b)(b-a-1) & \text { 34. }(x+1)(x-1)\left(x^{2}-2\right) \\ \left(a^{2}+4\right)\left(a^{2}-4\right) & \text { 22. }\left(a^{x}+b^{n}\right)\left(a^{x}-b^{n}\right) & \text { 35. }(a+3)\left(a^{2}+9\right)(a-3) \\ \left(3 a b-5 x^{2}\right)^{2} & \text { 23. }\left(x^{a+1}-8\right)\left(x^{a+1}+9\right) & \text { 36. }(x+5)(x-5)\left(x^{2}+1\right) \\ (a b+3)(3-a b) & \text { 24. }\left(a^{2} b^{2}+c^{2}\right)\left(a^{2} b^{2}-c^{2}\right) & \text { 37. }(a+1)(a-1)(a+2)(a-2) \\ (1-4 a x)^{2} & \text { 25. }(2 a+x)^{3} & \text { 36. }\left(x^{2}-11\right)\left(x^{2}-2\right)\end{array} \) \( \left(a^{2}+8\right)\left(a^{2}-7\right) \)
Álgebra Mexico Feb 26, 2025
Simplify. \[ \frac{x^{-5}}{x^{5}} \] Write your answer with a positive exponent only.
Álgebra United States Feb 26, 2025
Question 1 (1 point) For your birthday, you got a \( \$ 50 \) gift card to your favorite store. You use the gift card to buy a \( \$ 10 \) T-shirt and you want to buy as many \( \$ 5 \) pairs of shorts as possible with the rest. Which of these inequalities describes this situation, where \( p \) is the number of pairs of shorts you can buy?
Álgebra United States Feb 26, 2025
Write an equation to represent the following statement. \( j \) is 25 more than 3 . Solve for \( j \). \( j=\square \)
Álgebra United States Feb 26, 2025

Latest Algebra Questions

Simplify. \[ \left(2 x^{5} y^{-4}\right)^{3} \] Write your answer using only positive exponents. \( \square \)
Álgebra United States Feb 26, 2025
\( \left(y^{-7}\right)^{5} \) Write your answer without using negative
Álgebra United States Feb 26, 2025
Question 1 (1 point) For your birthday, you got a \( \$ 50 \) gift card to your favorite store. You use the gift card to buy a \( \$ 10 \) T-shirt and you want to buy as many \( \$ 5 \) pairs of shorts as possible with the rest. Which of these inequalities describes this situation, where \( p \) is the number of pairs of shorts you can buy?
Álgebra United States Feb 26, 2025
Simplify. \[ \frac{4 m^{-8} n^{9}}{16 n^{-4} m^{-7}} \]
Álgebra United States Feb 26, 2025
Abby knows that 1 mile is about 1.61 kilometers. She wants to write an equation she can use to convert any given distance in miles \( (m) \) to kilometers \( (k) \). How should Abby write her equation? Choose 1 answer: (A) \( 1.61-\frac{k}{m} \) (B) \( 1.61 m=k \) (C) \( \frac{k}{1.61}=m \)
Álgebra United States Feb 26, 2025
Anterior Próximo
¡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