Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

10. in each question below, you are given two facts. the third fact is …

Question

  1. in each question below, you are given two facts. the third fact is missing. for each question, circle the word that tells which fact is missing. a. 20 is what percent of 100? part whole percent b. what is 5% of 100? part whole percent c. 20 is 5% of what number? part whole percent 11. what is 110% of $26.70? 12. what is 7 1/2% of $810? 13. the price went from $2.00 to $2.18. what is the percent of increase? 14. what is 295 decreased by 97%? 15. the current price is $33.75. this is 12.5% more than last years price. what was last years price?

Explanation:

Response

10.

Step1: Identificar la fórmula del porcentaje

El porcentaje se calcula como $\text{Porcentaje}=\frac{\text{Parte}}{\text{Total}}\times100$. En el caso de "20 es qué porcentaje de 100", la parte es 20 y el total es 100.

Step2: Calcular el porcentaje

$\text{Porcentaje}=\frac{20}{100}\times 100 = 20\%$

Step1: Escribir la fórmula del porcentaje

$\text{Porcentaje}=\frac{\text{Parte}}{\text{Total}}\times100$. Sabemos que el porcentaje es 110% y el total es 26.70, y queremos encontrar la parte. Re - arreglamos la fórmula: $\text{Parte}=\frac{\text{Porcentaje}\times\text{Total}}{100}$

Step2: Sustituir valores

$\text{Parte}=\frac{110\times26.70}{100}=1.1\times26.70 = 29.37$

Step1: Escribir la fórmula del porcentaje

$\text{Porcentaje}=\frac{\text{Parte}}{\text{Total}}\times100$. Aquí, la parte es $7\frac{1}{2}\%=\frac{15}{2}\% = 7.5\%$ y el total es 810. Queremos encontrar la parte. Usamos la fórmula $\text{Parte}=\frac{\text{Porcentaje}\times\text{Total}}{100}$

Step2: Sustituir valores

$\text{Parte}=\frac{7.5\times810}{100}=\frac{7.5\times810}{100}=60.75$

Answer:

20%

11.