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snow_tiger [21]
3 years ago
9

(0,65-3,21)por(-8,12)=?

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:  =20,7872

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-\\\\(+)(-)=-

In this case you have the following expression given in the exercise:

(0,65-3,21)(-8,12)

Then you can follow the steps shown below in order to solve it:

Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

=(-2,56)(-8,12)

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.

(As you can notice, both are negative, therefore you know that the product will be positive).

Then, you get that the result is the following:

 =20,7872

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Answer: 4 apples for $3.64


Step-by-step explanation:

The best buy is going to be the one that costs the least. To figure this out, you divide the number of apples by the price. (do not round)

4/3.64=1.09

9/8.01=1.23

14/12.43=1.12

24/21.12=1.13

As you can see, the 4 apples for $3.64 is the better choice since the number is the least.

5 0
3 years ago
Olivia has blue, pink and orange counters in a bag.
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Blue= 4
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Answer: 7

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The answer is 7. Hope this helps!

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How many times does 2/3 go into 3/8?
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Answer:

91/6 times

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(2/3)(x)=3/8

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A box is to be constructed from a sheet of cardboard that is 20 cm by 50 cm by cutting out squares of length x by x from each co
Nezavi [6.7K]

We are given the dimensions of the box:

l = 50 cm

w = 20 cm

 

We know that the volume of a box is:

V = l w h

where h = x

 

However since x cuts is made on both all sides of the box, therefore the new dimensions would be:

V = (l – 2x) (w – 2x) x

V = (50 – 2x) (20 – 2x) x

V = 1000x – 100x^2 – 40x^2 + 4x^3

V = 4x^3 – 140x^2 + 1000x

 

<span>To get the maxima value, we get the 1st derivative of the function then set dV/dx = 0 to solve for x:</span>

dV / dx = 12x^2 – 280x + 1000

12x^2 – 280x + 1000 = 0

Transpose 1000 to the right side and divide everything by 12:

x^2 – (280/12)x = -(1000/12)

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x^2 – (280/12)x + (78400/576) = -(1000/12) + (78400/576)

[x – (280/24)]^2 = 52.78

x – (280/24) = ±7.26

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x cannot be 18.93 since this would result in a negative value of 20 – 2x, therefore:

x = 4.40 cm

 

Calculating for the volume:

V = (50 – 2*4.4) (20 – 2*4.4) (4.4)

<span>V = 2030.34 cm^3</span>

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