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Nady [450]
3 years ago
8

P3r2−(m+np) if m=−32, n=2, p=−8, and r=4

Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

-172

Step-by-step explanation:

3pr3-(m+np)

3*-8*4*2-(-32+-2*-8)

=-172

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20% of what number is 80?
marishachu [46]

Answer:   The answer is:  " 400 " .

____________________________________________

             →   20% of  <u>  400  </u>  is  80 .

____________________________________________

Step-by-step explanation:

____________________________________________

  20% of  "x" = 80 ;  Solve for  " x " ;  

20%   =  20/100 ;

         =   20 ÷  100 ;

         =   20.  ÷ 100 ;

         =   0.20  ;  

____________________________________________

Note that when <u>dividing by 100</u> , we move the decimal        

point backward (when "dividing") — 2 (two) spaces —

                                since "100" has 2 (two) "zeros" .

____________________________________________

         →   0.20 = 0.2 ;  

____________________________________________

          →   (0.2) x = 80 ; Solve for "x" ;

In this case, multiply each side of the equation by "10" ; to get rid of the "decimal value" ; as follows:

          →  (10) * (0.2) x = 80 * 10) ;

   to get:

          →   2x  =  800  ;

Now, divide Each Side of the equation by "2" ;

     to isolate "x" on one side of the equation ;

      & to solve for "x" ;  as follows:

          →   2x / 2  =  800 / 2  ;

          →     x  =  400 .

____________________________________________

The answer is:  " 400 " .

____________________________________________

   →  20% of  <u>  400  </u>  is  80 .

__________________________________________________

Hope this is helpful to you!

        Best wishes in your academic pursuits

              — and within the "Brainly" community!

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8 0
3 years ago
Read 2 more answers
A 15​-ft by 15​-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 13
andrezito [222]

Answer:

2ft wide

Step-by-step explanation:

Total Area = Area of the summing pool +  total Area of the walkway.

Area of the summing pool = 15 × 15 = 225ft²

And total area of walkway = 136ft²

∴ total area = 225 + 136 = 361 ft².

Let w = The width of the walkway.

Since the walkway has a uniform width

∴ Total Area of pool and walkway = (15+2w)(15+2w)

⇒ (15+2w)(15+2w) = 361........................(1)

 Expanding Equation(1)

 15×15 + 15×2w + 2w×15 + 2w×2w = 361

 ⇒ 225 + 30w + 30w + 4w² = 361................(2)

  Rearranging equation(2) above and collecting like terms

   4w²+60w = 361-225

    4w² + 60w = 136..............................(3)

   Dividing all through equation(3) by 4

   4w²/4 + 60w/4 = 136/4

    w² + 15w = 34..............(4)

    rearranging equation(4)

    w²+15w -34 = 0

Using factorization method to solve the quadratic equation,

   w² + 15w - 34 = 0

Two numbers whose sum give +15 and whose product gives -34

are +17 and -2.

∴ w² -2w +17w -34 =0

   grouping the equation,

   (w²-2w) + (17w-34) =0

  Bringing out the common terms in both bracket.

  w(w-2) +17(w-2) =0

 since both term in the bracket are the same, take one of the term in the bracket and form a bracket for the outer term i.e

(w-2)(w+17)=0.

Either w-2 =0

           w=+2

OR    w+17 =0

          w=-17.

The right answer is w=+2 as wide can not be negative.

∴ The walkway is 2ft wide.

 

 

4 0
3 years ago
In a game, 20 small squares of paper are numbered 1 through 20. If Egan randomly selects 1 piece of paper, what is the probabili
garri49 [273]

Answer:

1/4

Step-by-step explanation:

Probability is essentially (# times a specific event occurs) / (# times any general event occurs).

Here, the "specific event" is selecting a multiple of four. The multiples of 4 from 1 to 20 are: 4, 8, 12, 16, and 20 - there are 5 of these. So, the number of times the specific event can occur is 5.

The "general event" is selecting any number out of the 20. Since there are 20 numbers, then there are 20 ways that a general event occurs.

So, the probability is 5/20 = 1/4.

3 0
4 years ago
Read 2 more answers
Can someone help me pls ASAP
Illusion [34]

Answer:

not bad kid not nad

Step-by-step explanation:

3 0
3 years ago
Brianna had $20 but spent d dollars on ice cream. Write an expression to represent how much money Brianna has after buying ice c
Afina-wow [57]

Answer:

20-d= x

d= money spent

x= money left

Step-by-step explanation:

5 0
3 years ago
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