MathMaster logo

MathMaster

  1. Home
  2. general
  3. 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

93

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:
E (entretenimento), C (científicas), A (artísticas).
2. Convertemos as informações do problema em expressões matemáticas:
C = 3E, C = A + 25, E + C + A = 353.
3. Substituímos C na equação da soma:
E + 3E + (3E - 25) = 353, simplificando para 7E - 25 = 353.
4. Resolvendo para E:
7E = 378 \rightarrow E = 54.
5. Calculamos C e A:
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 product of 32 multiplied by 58?
+
What is the value of the sine ratio when the angle is 45 degrees?
+
What is the condition for two triangles to be equal? (
+
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.
Solution to the equation y'' - y' - 6y = 0
-11+29-18
what is 3% of 105?
3(4x-1)-2(x+3)=7(x-1)+2
What will be the density of a fluid whose volume is 130 cubic meters contains 16 technical units of mass? If required Consider g=10 m/s2
9b^2-6b-5
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
Find the zero of the linear function 8x + 24 = 0
A natural gas company has a fixed rate of 1,320 pesos plus 1,590 pesos per cubic meter of gas consumed monthly per customer. Indicate the cost function to determine the value in pesos of the cubic meters of gas consumed in a month per customer. How much did a customer who consumed 18 cubic meters of gas pay? If a customer paid 34,710 pesos, how many cubic meters of gas did he consume?
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
2+2020202
did an analysis of dropout from the nursing faculty at the Universidad Veracruzana. With a poblation of 122 students, it turned out that according to the gender data, the female sex predominates with 82%, and the male sex male is found with 12%. The main factors why students drop out are, first of all, "Not "re-enrolled" at 49%, second place "Personal reasons" at 20%, third place "change of school" in 11%, "lack of documents" and "economic reasons" in 7%, change of residence and lack of social service in 3%. Of this sample, how many students dropped out for other reasons?
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
x(squared) -8x=0
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter

You might be interested in