MathMaster logo

MathMaster

  1. Home
  2. general
  3. solve the statement problem posed below applying the direct and inverse compound proportionality proposes a solution strat
Question

Solve the statement problem posed below, applying the Direct and inverse compound proportionality. Proposes a solution strategy Using a diagram or diagram, indicating the proportional relationship between the magnitudes and delivers a precise solution in writing. Problem: "If 8 administrators carry out the work in 9 days, working at a rate of 6 hours, Accounting analysis of 30 clients. How many days will 10 administrative staff need? working 8 hours a day to perform the accounting analysis of 50 clients?”

202

likes
1009 views

Answer to a math question Solve the statement problem posed below, applying the Direct and inverse compound proportionality. Proposes a solution strategy Using a diagram or diagram, indicating the proportional relationship between the magnitudes and delivers a precise solution in writing. Problem: "If 8 administrators carry out the work in 9 days, working at a rate of 6 hours, Accounting analysis of 30 clients. How many days will 10 administrative staff need? working 8 hours a day to perform the accounting analysis of 50 clients?”

Expert avatar
Timmothy
4.8
99 Answers
1. Determinamos la relación de proporcionalidad entre las variables. Aquí tenemos tres variables involucradas: el número de administrativos ( A ), el número de días ( D ), las horas trabajadas por día ( H ) y el número de clientes ( C ).

2. Utilizamos la fórmula de proporcionalidad compuesta:

D_2 = D_1 \cdot \frac{A_1}{A_2} \cdot \frac{H_1}{H_2} \cdot \frac{C_2}{C_1}

3. Sustituimos los valores:
- A_1 = 8
- D_1 = 9
- H_1 = 6
- C_1 = 30
- A_2 = 10
- H_2 = 8
- C_2 = 50

4. Insertamos estos valores en la fórmula:

D_2 = 9 \cdot \frac{8}{10} \cdot \frac{6}{8} \cdot \frac{50}{30}

5. Simplificamos la expresión:

D_2 = 9 \cdot \frac{8 \cdot 6 \cdot 50}{10 \cdot 8 \cdot 30}

6. Finalmente obtenemos:

D_2 = 9 \text{ días}

Respuesta: 9 \text{ días}

Frequently asked questions (FAQs)
What is the range of the data set 5, 7, 9, 10, 15, 20?
+
What is the relationship between the cube root of a number and the resulting value when it is cubed?
+
Find the derivative of f(x) = 3x^2 + 2√x - 5.
+
New questions in Mathematics
Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
P is a polynomial defined by P(x) = 4x^3 - 11×^2 - 6x + 9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors.
How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?
*Question!!* *Victory saved 3,000 in first bank and 2,000 Naira in union bank PSC with interest rate of X% and Y% per annual respectively his total interest in one year is #640. If she has saved 2,000 naira with first bank and 3,000 naira in union bank for same period she would have made extra 20# as additional interest, then find the value of X and Y
4X^2 25
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
Determine the general equation of the straight line that passes through the point P (2;-3) and is parallel to the straight line with the equation 5x – 2y 1 = 0:
20% of 3500
If a two-branch parallel current divider network, if the resistance of one branch is doubled while keeping all other factors constant, what happens to the current flow through that branch and the other branch? Select one: a. The current through the doubled resistance branch remains unchanged, and the current through the other branch decreases. b. The current through the doubled resistance branch decreases, and the current through the other branch remains unchanged. c. The current through the doubled resistance branch increases, and the current through the other branch remains unchanged. d. The current through both branches remain unchanged.
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
3%2B2
Jasminder has made 55% of the recipes in a particular cookbook. If there are 9 recipes that he has never made, how many recipes does the cookbook contain?
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?

You might be interested in