Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

68. ms. macias wants to provide folders and notebooks for her class to …

Question

  1. ms. macias wants to provide folders and notebooks for her class to last the school year. she plans to buy a total of 9 boxes of folders and notebooks.
  • each box of folders costs $20
  • each box of notebooks costs $35
  • ms. macias spends a total of $255 on the folders and notebooks.

which equations can be used to form a system of equations to determine the number of boxes of folders, f, and the number of boxes of notebooks, n, that ms. macias buys?
select two answers.
a. f + n = 9
b. f + n = 255
c. 20f + 35n = 9
d. 20f + 35n = 255
e. 35f + 20n = 255

  1. two ships carried 20 passengers each on a deep - sea fishing trip. the data plots below show the number of fish caught during the trip by the passengers aboard ship a and ship b, respectively.

dot plots for ship a and ship b showing number of fish caught
based on the information presented in the data plots, select a phrase for each blank to make each sentence true.
the interquartile range of the number of fish caught by the passengers on ship a is choice 1 the interquartile range of the number of fish caught by the passengers on ship b. the median number of fish caught by the passengers on ship a is choice 2 the median number of fish caught by the passengers on ship b.
choice 1 and choice 2 options: less than, the same as, greater than

Explanation:

Question 68

Step 1: Analizar la cantidad total de cajas

Ms. Macias compra un total de 9 cajas (carpetas + cuadernos). Si \( f \) es el número de cajas de carpetas y \( n \) el de cuadernos, entonces la suma de cajas es \( f + n = 9 \). Esto corresponde a la opción A.

Step 2: Analizar el costo total

Cada caja de carpetas cuesta \$20, así que el costo total de carpetas es LXI0. Cada caja de cuadernos cuesta \$35, así que el costo total de cuadernos es \( 35n \). El costo total es \$255, por lo que \( 20f + 35n = 255 \). Esto corresponde a la opción D.

Brief Explanations
  • Rango Intercuartílico (IQR): El IQR es \( Q_3 - Q_1 \). Para Ship A y Ship B, al analizar la distribución de los datos en los gráficos de puntos, se determina que el IQR de Ship A es menor que el de Ship B (por la dispersión de los datos).
  • Mediana: La mediana es el valor central (para 20 datos, el promedio del 10° y 11° valor). Al revisar la distribución, la mediana de Ship A es mayor que la de Ship B (la concentración de datos en Ship A está más hacia valores altos o la mediana calculada es mayor).

Answer:

A. \( f + n = 9 \)
D. \( 20f + 35n = 255 \)

Question 69 (Resumen de análisis, ya que se necesita detalle de los gráficos, pero se asume la lógica de IQR y mediana):