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2 years ago

7

Ms.Fox asked her class "is the sum of 4.2 and the square root of 7 irrational or rational?" Patrick answered that the sum would

be irrational. State whether Patrick is correct or incorrect.

2 answers:

Fofino [41]2 years ago

6 0

Irrational+rational=irratinoal
√7 is irrational

patrick is right

Zarrin [17]2 years ago

5 0

7 is irrational Patrick is right

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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

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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

A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter

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1 year ago

Steven has 20 tickets to use at the carnival. Jared has 4 tickets to use at the carnival. How many times as much is the amount o

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1 year ago

QUESTION 1 of 10: A corporation sold 100,000 shares of stock when the company was formed at $20 per share. After the first year

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option b. $2,000,000.

Step-by-step explanation:Explanation:

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Increase in stockholders equity = 100,000 shares * $20

Increase in stockholders equity = $2,000,000

3 0

2 years ago

A group of campers is going to occupy 3 campsites at a campground. There are 17 campsites from which to choose. In how many ways

Alexeev081 [22]

Answer:

Campsites be chosen in 680 ways.

Step-by-step explanation:

Given:

Number of campsites= 17

Number of campsites that are to be occupied=3

To Find:

Number of ways can the campsites be chosen=?

Solution:

Combination:

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

nCr = n(n - 1)(n - 2) ... (n - r + 1)/r! = n! / r!(n - r)!

No of ways in which campsites can be chosen= $\frac{17!}{3!(17-3)!}$ 17C3

=> $\frac{17!}{3!(14!)}$

=> $\frac{15\times16\times17}{3\times 2\times 1}$

=> $\frac{4080}{6}$

=>680

5 0

1 year ago