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kvasek [131]
3 years ago
14

4/5 of a number is 32 Find the number.

Mathematics
2 answers:
nalin [4]3 years ago
7 0

Answer: The number is 40

Step-by-step explanation:

We will set up an equation where 4/5 is being multiply by the number to get 32. we will represent that number  by x

4/5 * x = 32    solve for x

4/5x = 32  

0.8x = 32

 x = 40  

kotykmax [81]3 years ago
6 0

Answer:

40

Step-by-step explanation:

Since you know 32 is 4/5 of a number divide 32 by 4 to get 1/5

32/4=8, so now you have 1/5 of the number and 5*1/5=1 so just multiply 1/5, in this case 8, by 5 to get the whole number.

8*5=40, this is how you know the whole number is 40.

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Please help<br><br> Find the value of x,<br> m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26
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Answer:

  x = 30 2/3

Step-by-step explanation:

Angles 4 and 5 are complementary, so we have ...

  m∠4 +m∠5 = 90°

  (2x +4) +(x -6) = 90

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Factor using the x method <br><br><br> ( please do not answer without showing work )
muminat

Answer:

5(x + 10)(10x - 3)

Step-by-step explanation:

We are factoring

50x^{2} + 485x - 150

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

5(x + 10)(10x - 3)

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