$MathMaster logo$

MathMaster

Home
general
martin and paulina make an investment in shares with the same amount of money martin earned 8 000 and paulina lost 6 000 s

Question

Martin and Paulina make an investment in shares with the same amount of money. Martin earned $8,000 and Paulina lost $6,000; so the amount left for Paulina is one third of what Martin got. Determine an algebraic expression that represents the situation posed.

250

likes

1252 views

Answer to a math question Martin and Paulina make an investment in shares with the same amount of money. Martin earned $8,000 and Paulina lost $6,000; so the amount left for Paulina is one third of what Martin got. Determine an algebraic expression that represents the situation posed.

$Expert avatar$

4.6

108 Answers

Sea la inversión inicial realizada tanto por Martín como por Paulina \( x \) dólares. - Martín gana $8,000, por lo que su monto total es \( x + 8,000 \). - Paulina pierde $6,000, por lo que su monto total es \( x - 6,000 \). Según el problema, la cantidad de Paulina es la tercera parte de la que tiene Martín, por lo que podemos escribir la siguiente ecuación: x - 6,000 = \frac{1}{3}(x + 8,000) Esta ecuación representa la situación descrita.

Frequently asked questions (FAQs)

What is the value of x if f(x) = log x and f(x) = ln x ?

+

What is the speed of a car that travels a distance of 300 kilometers in 5 hours?

+

What is 40% in decimal form?

+

New questions in Mathematics

(x^2+3x)/(x^2-9)=

The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?

If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)

show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))

In a order to compare the means of two populations, independent random samples of 410 observations are selected from each population, with Sample 1 the results found in the table to the right. Complete parts a through e below. X1 = 5,319 S1= 143 a. Use a 95% confidence interval to estimate the difference between the population means (H - H2) Interpret the contidence interval. The contidence interval IS (Round to one decimal place as needed.) Sample 2 X2 = 5,285 S2 = 198 Aa. Use a 95% confidence interval to estimate the difference between the population means (A1 - M2) Interpret the contidence interval. The contidence interval Is (Round to one decimal place as needed.) b. Test the null hypothesis Ho versus alternative hypothesis Ha (H What is the test statistic? H2) + Give the significance level of the test, and interpret the result. Use a = 0.05. Z=

A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?

3 A tree is planted when it is 1.2 m tall. Every year its growth is 3/8 of its previous year's height. Find how tall the tree will grow.

Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24

7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x ̄<10hours HA : x ̄ > 13.5 hours

48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?

How many cards do you expect to pull from a poker deck until you get an ACE?

If sin A=0.3 and cos A=0.6, determine the value of tan A.

A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?

write in set builder notation { 1,3,9,27,81,243,...}

A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.