MathMaster logo

MathMaster

  1. Home
  2. general
  3. a construction company has three branches in lima trujillo and arequipa the total number of executives in the three branch
Question

A construction company has three branches in Lima, Trujillo and Arequipa. The total number of executives in the three branches is 32. It is known that the number of executives living in Trujillo is 10 less than the number of executives in Lima. In addition, the number of executives in Lima exceeds by 4 the number of executives living in Arequipa and Trujillo combined. How many more executives live in the city of Lima than in Arequipa? It raises the System of Linear Equations and uses a Cramer method.

86

likes
431 views

Answer to a math question A construction company has three branches in Lima, Trujillo and Arequipa. The total number of executives in the three branches is 32. It is known that the number of executives living in Trujillo is 10 less than the number of executives in Lima. In addition, the number of executives in Lima exceeds by 4 the number of executives living in Arequipa and Trujillo combined. How many more executives live in the city of Lima than in Arequipa? It raises the System of Linear Equations and uses a Cramer method.

Expert avatar
Fred
4.4
118 Answers
L + T + A = 32
T = L - 10
L = A + T + 4

1. Substitute T = L - 10 into L + T + A = 32:
L + (L - 10) + A = 32
2L - 10 + A = 32
2L + A = 42

2. Substitute T = L - 10 into L = A + T + 4:
L = A + (L - 10) + 4
L = A + L - 6
0 = A - 6
A = 6

3. Substitute A = 6 into 2L + A = 42:
2L + 6 = 42
2L = 36
L = 18

4. Substitute L = 18 into T = L - 10:
T = 18 - 10
T = 8

5. Calculate the difference between executives in Lima and Arequipa:
L - A = 18 - 6 = 12

\text{El número de ejecutivos en Lima que exceden sobre Arequipa es:} \\12

Frequently asked questions (FAQs)
What is the domain of the logarithmic function f(x) = log(x) / ln(x)? (
+
Question: What is the slope of the line that passes through the points (2, 5) and (-3, 10)?
+
Question: What is the derivative of the function f(x) = 3x^2 - 4x + 2?
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
10! - 8! =
5/8 x 64
two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?
Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)
Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
Determine the equations of the lines that pass through the following points P1 (2;-1) and p2 (4;-1)
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
12(3+7)-5
Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line
Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%
A person decides to invest money in fixed income securities to redeem it at the end of 3 years. In this way, you make monthly deposits of R$300.00 in the 1st year, R$400.00 in the 2nd year and R$500.00 in the 3rd year. Calculate the amount, knowing that compound interest is 0.6% per month for the entire period. The answer is 15,828.60
If A and B are any events, the property that is not always true is: a) 0 ≤ 𝑃(𝐴 ∩ 𝐵) ≤ 1 b) 𝑃(Ω) = 1 c) 𝑃(𝐵) = 1 − 𝑃(𝐵𝑐) d) 𝑃(∅) = 0 e) 𝑃(𝐴 ∪ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵)
cube root of 56
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
x²-7x+12=0
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
97,210 ➗ 82 division

You might be interested in