$MathMaster logo$

MathMaster

Home
general
on grandpa s farm there are a group of cats and ducks my cousin told me that he counted 110 legs in total i counted 76 eye

Question

On grandpa's farm there are a group of cats and ducks, my cousin told me that he counted 110 legs in total, I counted 76 eyes, how many cats and how many ducks there are.

216

likes

1080 views

Answer to a math question On grandpa's farm there are a group of cats and ducks, my cousin told me that he counted 110 legs in total, I counted 76 eyes, how many cats and how many ducks there are.

$Expert avatar$

4.8

113 Answers

Un gato tiene 4 patas y un pato tiene 2 patas. 4c + 2d = 110 2c + d = 55 .....(1) cada uno tiene 2 ojos 2c + 2d = 76 c + d = 38 .....(2) De las ecuaciones (1) y (2), gatos = 17 patos = 21

Frequently asked questions (FAQs)

Math question: Find the equation of a quadratic function with vertex located at (-2, 4) and y-intercept at (0, -2).

+

What is the slope of the line passing through points (2, 4) and (6, 8)?

+

What is the value of the sine of 45 degrees in the unit circle chart?

+

New questions in Mathematics

Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0

Solution to the equation y'' - y' - 6y = 0

a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.

Write 32/25 as a percent

A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?

(6.2x10^3)(3x10^-6)

Suppose SAT reading scores are normally distributed with a mean of 496 and a standard deviation of 109. The University plans towards scholarships for students who scores are in the top 7%. What is the minimum score required for the scholarship round your answer to the nearest whole number.

calculate the area in square units of A rectangle with length 6cm and breadth 5cm

form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?

The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?

A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.

Convert 9/13 to a percent

The maximum gauge pressure of a hydraulic ramp is 16 atm, with a support area whose diameter is 20 cm. What is the mass of the heaviest vehicle that can be lifted?

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion is greater than 35%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is z= 2.6. Find the P-value for this test.

Your grandfather has run a small high street pharmacy for 40 years. After much persuasion, he has agreed to open a digital store online. List 5 potential ways to improve sales and/or margins by having a digital pharmacy through the utilisation of historic or new sales data.

solid obtained by rotation around the axis x = -1, the region delimited by x^2 - x + y = 0 and the abscissa axis

8/9 divided by 10/6

A nondegenerate ideal gas of diatomic molecules with a kilomolar mass of 2 kg/kmol and a characteristic rotational temperature of 86 K is adsorbed on the walls of a container, where the binding energy is 0.02 eV. The adsorbed molecules move freely on the walls, and their rotation is confined to the plane of the walls. Calculate the surface density of adsorbed molecules at 12 K if the gas pressure is 103 Pa! What result would you get at 68 K and the same pressure?