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Ghella [55]
3 years ago
8

A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea

ses each dimension of the box by x centimeters but keeps the price the same. If the new volume is 2,208 cm3 by how much was each dimension decreased
Mathematics
1 answer:
hjlf3 years ago
3 0

Answer:

1.75 cm

Step-by-step explanation:

We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.

Now, to increase the profit, the dimensions of the box by 'x' cm.

Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.

Further, it is given that the volume of the new box is 2,208 cm^{3}

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. 2208 = (25-x) \times (140-24x-x^{2})

i.e. 2208=x^{3}-x^{2}-740x+3500

i.e. x^{3}-x^{2}-740x+1292=0

On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.

Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.

Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.

Hence, the dimensions were decreased by 1.75 cm.

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2 years ago
En un entrenamiento, Mariana metió 12 de los 15 tiros al arco que pateo. Carla tuvo una efectividad del 75%. Cual de las dos chi
Lady bird [3.3K]

Answer:

Mariana has better performance.

Step-by-step explanation:

We are given that in a training session, Mariana made 12 of the 15 shots on goal that she kicked and Carla had an effectiveness of 75%.

And we have to find which girl's performance is better.

Since it is stated that Carla had an effectiveness of 75%.

Similarly, we will find the effectiveness of Mariana;

Total shots available to Mariana = 15 shots

Number of shots on goal = 12

So, her effectiveness =  \frac{12}{15} \times 100

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This shows that Mariana has a better performance as compared to Carla as 80% > 75%.

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The temperature at 6:00 pm was 15 degrees Celcius. The temperature dropped 2 degrees Celcius per hour. What was the temperature
nikitadnepr [17]

Answer:

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Step-by-step explanation:

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The first one

Step-by-step explanation:

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