Two playful kittens working together can unwind all the balls of yarn in a basket 9
minutes faster than if the first kitten is working alone, and 4 minutes faster than if the
second kitten is working alone. How long does it take each kitten to unwind all the
balls of yarn alone?

Answers

Answer 1

Answer:

The time it takes the first kitten to unwind the balls of yarn alone is 15 minutes

The time it takes the second kitten to unwind the balls of yarn alone is 10 minutes

Step-by-step explanation:

The time it takes the two kitten to unwind the balls of yarn = 9 minutes faster than the first kitten working alone

The time it takes the two kitten to unwind the balls of yarn = 4 minutes faster than the second kitten working alone

Let 'x' represent the time it takes the first kitten to unwind the balls of yarn alone, let 'y' represent the time it takes the second kitten to unwind the balls of yarn alone, and let 't' represent the time it takes the two kitten to unwind the balls of yarn we have;

x = t + 9

y = t + 4

The rate of working, per ball of yarn, of the first kitten = 1/x = 1/(t + 9)

The rate of working, per ball of yarn, of the second kitten = 1/y = 1/(t + 4)

The amount of work each kitten does in the time 't', added together to unwind 1 ball of yarn is given as follows;

t/(t + 9) + t/(t + 4) = 1

(t·(t +4) + t·(t + 9))/(t + 4)×(t + 9) = 1

Using a graphing calculator, we have;

(2·t²+13·t)/(t² + 13·t + 36) = 1

∴ (2·t² + 13·t) = (t² + 13·t + 36)

(2·t² + 13·t) - (t² + 13·t + 36) = 0

t² - 36 = 0

t = √36 = 6

t = 6

x = t + 9 = 6 + 9 = 15

The time it takes the first kitten to unwind the balls of yarn alone, x = 15 minutes

y = t + 4 = 6 + 4 = 10

The time it takes the second kitten to unwind the balls of yarn alone, y = 10 minutes

Answer 2

Answer:

15 and 10 are correct

Step-by-step explanation:


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Step-by-step explanation:

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2 people working at the same rate will take 9 hours to paint a room.
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Answers

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Step-by-step explanation:

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en una encuesta a 200niños sobre el programa de T.V. que más les gusta ver ,se encontró que a 30 niños ven dibujos animados 45 niños miran películas animadas solamente 55niños miran programas sobre animales 38 niños miran programas sobre animales y dibujos animados 32 niños miran los tres tipos de programas encuentra el porcentaje de cada grupo​

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Step-by-step explanation:

Dado que en una encuesta a 200 niños sobre el programa de TV que más les gusta ver se encontró que 30 niños ven dibujos animados, 45 niños miran películas animadas, 55 niños miran programas sobre animales, 38 niños miran programas sobre animales y dibujos animados y 32 niños miran los tres tipos de programas, para determinar el porcentaje de cada grupo​ se deben realizar los siguientes cálculos:

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55/200 = 27.5/100 = 27.5%

38/200 = 19/100 = 19%

32/200 = 16/100 = 16%

Así, 15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.

Will give brainliest

Answers

Answer:

The third option

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

c=3

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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What is the ratio?

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The total number for teacups is;

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Therefore, the ratio compares the number of brown teacups to the total number of teacups can be;

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Answers

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Step-by-step explanation:

Answer:

sqrt[(80^2) + (20^2)] = (bottom base of the entire rectangle)

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Step-by-step example:

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hsbshehehebvdhshhakakkanabsbxh

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Answers

Answer:

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Step-by-step explanation:

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What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

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Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

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Step-by-step explanation:

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Answers

Answer:

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i judt want points

Step-by-step explanation:

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Answers

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