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NeX [460]
3 years ago
12

Can someone please explain why 33 and 35 are these answers?

Mathematics
1 answer:
nordsb [41]3 years ago
7 0
For #32,
P=2L+2W
Subtract 2W from both sides, and swap left and right
2L = P-2W
Divide by 2
2L/2=(P-2W)/2
L = P/2 - 2W/2
L=P/2 - W

For #35
Most of the expenses are in fractions (of the original amount, A), so they can be added:
A/4 + A/5 + 2A/5 + 750  = A
add the fractions, with a common denominator of 20,
5A/20 + 4A/20 + 8A/20 +750  = A
(5A+4A+8A)/20 +750 = A
17A/20 + 750 = A

Now subtract 17A/20 from both sides and swap left and right
A - 17A/20 = 750
(3/20)A = 750

Multiply both sides by 20/3  (to make one unit of A on the left)

(3/20)*(20/3) A = 750*20/3
A =250*20=5000

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3x^2+6x-9=0 complete the square
PolarNik [594]
You could simplify this work by factoring "3" out of all four terms, as follows:

3(x^2 + 2x - 3) =3(0) = 0

Hold the 3 for later re-insertion.  Focus on "completing the square" of x^2 + 2x - 3.

1.  Take the coefficient (2) of x and halve it:  2 divided by 2 is 1
2.   Square this result:  1^2 = 1
3.   Add this result (1) to x^2 + 2x, holding the "-3" for later:
                    x^2 +2x 
4    Subtract (1) from x^2 + 2x + 1:     x^2 + 2x + 1               -3 -1  =    0, 
       or      x^2 + 2x + 1 - 4 = 0
5.   Simplify, remembering that x^2 + 2x + 1 is a perfect square:

                        (x+1)^2 - 4 = 0

We have "completed the square."  We can stop here.  or, we could solve for x:  one way would be to factor the left side:

            [(x+1)-2][(x+1)+2]=0     The solutions would then be:

             x+1-2=0=> x-1=0, or x=1, and
             x+1 +2 = 0 => x+3=0, or x=-3.  (you were not asked to do this).


3 0
2 years ago
Laine reads 25 pages in 30 minutes. If she reads 200 pages at the same rate how long will it take her?
Veronika [31]

Answer:

4 hours

Step-by-step explanation:

25 pages -> 30 min

5 pages -> 6 min

200 pages -> 6*40 min =240 min

240/60= 4

Thus, the answer is 4 hours

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3 years ago
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Lena [83]
-12 and 18

hope this helps :)
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3 boxes times 40 = 120 + 3 = 143
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Sati [7]
The answer to your question is d 354
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