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Norma-Jean [14]
3 years ago
10

14:48

Mathematics
1 answer:
puteri [66]3 years ago
8 0

11 kilograms of the same dog food costs $69.85.

Step-by-step explanation:

Step 1:

Paris buys 18 kg of dog food for $114.30. The food can be purchased in 1 kg bags.

If she bought the 18 kg of dog food with 1 kg bags, she would have had to buy 18 such bags.

So we need to calculate the cost of a 1 kg bag.

If 18 bags cost $114.30 we divide it by 18 to calculate the cost of 1kg.

The cost of a 1 kg bad = \frac{114.30}{18} = 6.35.

So a 1 kg bag of dog food costs $6.35.

Step 2:

To calculate the cost of 11 kg of the same dog food, we multiply the cost of a single bag with the number of bags.

If she were to buy the 11 kg through 1 kg bags, she would need to buy 11 such bags.

The cost of 11 kg of dog food  = (11)(6.35) = 69.85.

So 11 kg of dog food would cost $69.85.

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Answer:

vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

7 0
3 years ago
Solve the equation X³+2X²-5X -6​
Natali [406]

Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

6 0
3 years ago
PLEASE HELP
lbvjy [14]

any other details you could give me ?

8 0
4 years ago
Para reunir dinero para su gira de estudios , los alumnos de un curso deciden vender números de una rifa que se encuentran numer
QveST [7]

Respuesta:

0.53

Explicación:

Para calcular la posibilidad del evento A: "ganar la rifa comprando todos los números múltiplos de 3 o 5", debemos usar la siguiente fórmula.

P(A) = casos favorables / casos posibles

Evaluemos primero todos los casos que son múltiplos de 3, entre 1 y 100: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99. En total son 33.

Ahora, evaluemos todos los casos que son múltiplos de 3, entre 1 y 100: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100. En total son 20.

El número total de casos favorables es 33 + 20 = 53.

El número de casos posibles es el total de números de 1 a 100, es decir 100.

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7 0
3 years ago
Determine the numbers of solutions for 5x + 12 = 12x + 5.
mylen [45]

Answer:

Step-by-step explanation:

5x + 12 = 12x + 5

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-7x = -7

x = 1

one solution

8 0
3 years ago
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