$MathMaster logo$

MathMaster

Home
general
94 the magazines in a certain library are distributed into three different categories entertainment scientific and artisti

Question

94. The magazines in a certain library are distributed into three different categories: entertainment, scientific and artistic. The number of scientific magazines in this library is equal to three times the number of entertainment magazines, and the number of scientific magazines exceeds the number of artistic magazines by 25. If the total number of magazines in this library is equal to 353, and if each magazine belongs to only one category, then the difference between the number of artistic magazines and the number of entertainment magazines, in that order, is equal to

Brand: MathMaster
Rating: 4.9 (93 reviews)

likes

464 views

Answer to a math question 94. The magazines in a certain library are distributed into three different categories: entertainment, scientific and artistic. The number of scientific magazines in this library is equal to three times the number of entertainment magazines, and the number of scientific magazines exceeds the number of artistic magazines by 25. If the total number of magazines in this library is equal to 353, and if each magazine belongs to only one category, then the difference between the number of artistic magazines and the number of entertainment magazines, in that order, is equal to

$Expert avatar$

Maude

4.7

108 Answers

1. Definimos as variáveis:

(entretenimento),

(científicas),

(artísticas).
2. Convertemos as informações do problema em expressões matemáticas:

C = 3E

C = A + 25

E + C + A = 353

.
3. Substituímos

na equação da soma:

E + 3E + (3E - 25) = 353

, simplificando para

7E - 25 = 353

.
4. Resolvendo para

7E = 378 \rightarrow E = 54

.
5. Calculamos

C = 3 \times 54 = 162

A = 162 - 25 = 137

.
6. Encontramos a diferença:

A - E = 137 - 54 = 83

.

[Solution]

A - E = 83

Frequently asked questions (FAQs)

What is the measure of an angle in a triangle if the lengths of two sides are 5 and 8 units and the included angle is 60 degrees?

Question: For what values of x does the tangent function f(x) = tan x satisfy the characteristics of periodicity, vertical asymptotes, and increasing/decreasing behavior?

Math question: In a right triangle, if one acute angle measures 30° and the hypotenuse is 10 units long, find the length of the opposite side.

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?

5/8 x 64

Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)

Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll? Draw the diagram

Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)

prove that if n odd integer then n^2+5 is even

-3(-4x+5)=-6(7x-8)+9-10x

(2m+3)(4m+3)=0

-1%2F2x-4%3D18

3%2B2

A,B,C and D are the corners of a rectangular building. Find the lengths the diagonals if AB measures 38' - 9" and AD measures 56' - 3"

The blood types of individuals in society are as follows: A: 30%, B: 25%, AB: 20%, 0: 25%. It is known that the rates of contracting a certain disease according to blood groups are as follows: A: 7%, B: 6%, AB: 7%, 0: 4%. Accordingly, if a person selected by chance is known to have this disease, what is the probability of having blood group O?

16-(x²+x+2)²

Hola👋🏻 Toca en "Crear Nueva Tarea" para enviar tu problema de matemáticas. ¡Uno de nuestros expertos comenzará a trabajar en ello de inmediato!

t+72/t=-17

Question 3 A square has a perimeter given by the algebraic expression 24x – 16. Write the algebraic expression that represents one of its sides.

Construct a set of six pieces of data with mean, median, and midrange of 67 and where no two pieces of data are the same.

You might be interested in