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3 years ago

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

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

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

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

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

$x=2+-2\sqrt{3i}$ ..................(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:

1.57

Step-by-step explanation:

So we have two equations regarding the number of quarters q and the number of pennies p:

$p+q$

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 q and 7 in for p:

$p+q\\(7)+(6)=13$

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