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 formula to calculate the area of a regular hexagon with side length 's'?
+
What is the result of adding vector A, with magnitude 2 and direction 30 degrees, to vector B, with magnitude 3 and direction 120 degrees?
+
Find the maximum value of the sine function over the interval [0, π/2].
+
New questions in Mathematics
Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.
³√12 x ⁶√96
4X^2 25
224 × (6÷8)
A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?
4x-3y=24 and 5x-2y=9 solve by elimination
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?
prove that if n odd integer then n^2+5 is even
If 0101, what is the binary representation of the 4x16 decoder output?
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.
(2m+3)(4m+3)=0
If a|-7 and a|9, then a|-63
A bag has 4 green lollipops, 3 white lollipops, and 1 black lollipop. What is the probability of drawing a white lollipop?
Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?
Calculate the difference between 407 and 27
Total Users with an active Wise account = Total Active Users + Total Users who haven’t transacted Total Active Users = Total MCA Users + Total Send Users = Total New Users + Retained Users Total New Users = New Send Users + New MCA Users Total MCA Users = New MCA Users + Retained Users who transacted this month via MCA Total Send Users = New Send Users + Retained Users who transacted this month via Send Send CR = Total Send Users / Total Users with an active Wise account MCA CR = Total MCA Users / Total Users with an active Wise account New Send CR = New Send Users / New Profiles Created in Month New MCA CR = New MCA Users / New Profiles Created in Month We have recently witnessed a drop in MCA conversion, but send user conversion is stable, can you help explain why?
Calculate the pH of a solution obtained by mixing 100ml of 0.2M HCl with 100ml of 0.1M NaOH
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.