Pregunta
upstudy study bank question image url

Amanda bought g gallons of paint for \( \$ 16.55 \) per gallon and t pints of paint thinner for \( \$ 5.97 \) per pint. a. Write an expression to represent the total amount that Amanda spent. b. If Amanda bought 8 gallons of paint and 3 pints of paint thinner, how much did she spend? Explain your answer. a. Choose an expression that represents the total amount that Amanda spent. A. \( 16.55 \mathrm{t} \cdot 5.97 \mathrm{~g} \) O B. \( 16.55 \mathrm{~g} \cdot 5.97 \mathrm{t} \) OC. \( 16.55 \mathrm{t}+5.97 \mathrm{~g} \) OD. \( 16.55 \mathrm{~g}+5.97 \mathrm{t} \)

Ask by Salazar Bowers. in Mexico
Mar 12,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

Amanda spent \( 16.55g + 5.97t \) dollars. If she bought 8 gallons of paint and 3 pints of thinner, she spent a total of \$150.31.

Solución

1. Amanda bought \( g \) gallons of paint at a cost of \(\$16.55\) per gallon. Thus, the cost for the paint is given by \[ 16.55g. \] 2. She also bought \( t \) pints of paint thinner at a cost of \(\$5.97\) per pint. Hence, the cost for the thinner is \[ 5.97t. \] 3. The total amount Amanda spent is the sum of the two costs, which is expressed as \[ 16.55g + 5.97t. \] Therefore, the correct choice is **D. \( 16.55g + 5.97t \)**. 4. If Amanda bought 8 gallons of paint and 3 pints of paint thinner, we substitute \( g = 8 \) and \( t = 3 \) into the expression: \[ 16.55(8) + 5.97(3). \] 5. Calculate the cost for the paint: \[ 16.55 \times 8 = 132.40. \] 6. Calculate the cost for the thinner: \[ 5.97 \times 3 = 17.91. \] 7. Add the two amounts to find the total: \[ 132.40 + 17.91 = 150.31. \] Amanda spent \(\$150.31\).

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Extra Insights

To find the total amount that Amanda spent, we need to multiply the cost per gallon of paint by the number of gallons, and the cost per pint of paint thinner by the number of pints. Therefore, the correct expression representing the total amount spent is \( 16.55 \mathrm{~g} + 5.97 \mathrm{t} \), which corresponds to option D. Now, substituting the values provided, if Amanda bought 8 gallons of paint and 3 pints of paint thinner, we calculate her total expenditure as follows: \( 8 \text{ gallons} \times 16.55 \text{ dollars/gallon} + 3 \text{ pints} \times 5.97 \text{ dollars/pint} = 132.40 + 17.91 = 150.31 \). Therefore, Amanda spent a total of \( \$150.31 \). If you'd like to dive into Amanda's spending, it may surprise you to know that budgeting for paint and supplies is a long-standing practice that dates back to the ancient Egyptians. They used natural pigments to create vibrant murals—talk about a colorful history! On the practical side, always double-check your quantities before buying. A common mistake people make is miscalculating the amount of materials needed for a project, leading to either overspending or running short mid-project. So, be sure to calculate carefully and maybe add a little cushion to your estimates just in case!

¡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