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makkiz [27]
3 years ago
5

How do you simplify 12/28

Mathematics
2 answers:
vodka [1.7K]3 years ago
6 0
You have to divide both numbers equally, so I divided 12 and 28 by 4, I got 3/7
uranmaximum [27]3 years ago
5 0
12/28 can be simplified by dividing both numerator and denominator by 4
3/7
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In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!
g100num [7]

the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

Step-by-step explanation:

   x^{3} = - 64

   x^{3} +64  = 0

   We can write 64 as  4^{3}

  x^{3} + 4^{3} = 0

  using the identity  ( x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} ) )

we get,

  = (x+4) (x^{2} -x*4+4^{2} )

  = (x+4)(x^{2} -4x+16)    ....................(1)

 solving the quadratic equation  ,

   x^{2} -4x+16 =0

solutions of this quadratic equation can be obtained by

   x=-b +- \sqrt{b^{2}-4ac } /2a

let use y for factors

x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16}  / 2*x^{2}

x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}

x=4+-\sqrt{16-64}/2

x=4+-4\sqrt{3i} /2

<u />x=2+-2\sqrt{3i}    ..................(2)

from the equation 1 we have,

x-4=0

which gives solution x=4

and from equation 2 we got  x=2+-2\sqrt{3i}

so the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

3 0
3 years ago
If men's heights are normally distributed with mean 68 and standard deviation 3.1 inches, and women's heights are normally distr
stira [4]

Answer:

the probability that the woman is taller than the man is  0.1423

Step-by-step explanation:

Given that :

the men's heights are normally distributed with mean \mu  68

standard deviation \sigma   = 3.1

And

the women's heights are normally distributed with mean \mu  65

standard deviation \sigma   = 2.8

We are to find the probability that the woman is taller than the man.

For woman now:

mean  \mu = 65

standard deviation \sigma = 2.8

P(x > 68 ) = 1 - p( x< 68)

\\ 1 -p  \ P[(x - \mu ) / \sigma < (68-25)/ 2.8]

= 1-P (z , 1.07)

Using z table,

= 1 - 0.8577

= 0.1423

Thus, the probability that the woman is taller than the man is  0.1423

6 0
3 years ago
Suppose you have a pocketful of change. You have some pennies (p) and some quarters (q). One expression could be used to describ
faltersainse [42]

Answer:

13

1.57

Step-by-step explanation:

So we have two equations regarding the number of quarters <em>q</em> and the number of pennies <em>p:</em>

<em />p+q<em />

Which represents the total amount of coins and

0.01p+0.25q

Which represents the total amount of money in dollars.

So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for <em>q</em> and 7 in for <em>p:</em>

<em />p+q\\(7)+(6)=13<em />

This tells us that we have 16 coins in total.

0.01(7)+0.25(6)\\=0.07+1.50\\=1.57

This tells us that we have a total amount of $1.57.

5 0
3 years ago
Read 2 more answers
Line JK passes through points j(-4, -5) and k(-6,3) If The Equations of the line is written in slope intercept form y=mx+b what
tamaranim1 [39]
Asked and answered elsewhere.
brainly.com/question/10440096

The value of b is -21.
7 0
3 years ago
A company produces a 4.56×10 to the third power lightbulbs each week running in scientific notation which is the best estimate o
stepladder [879]

Answer:Production rate  = 4.56 x 10³ bulbs/week

Production time = 9.36 x 10² weeks

Number of bulbs produced is

Answer: 4.27 x 10⁶ bulbs

Step-by-step explanation:

5 0
3 years ago
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