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28/2=14

$28

5*2+4=14

\(\frac{20}x=\frac{20.25}{50.5}\\ x = 49.8765\)

A: When a baby is​ born, it is a girl.

​B: When a 7​-sided die is​ rolled, the outcome is 4.

Find​ P(A and​ B), the probability that events A and B both occur.

A: a baby can be girl or boy the probability getting one of them is \(\frac12\)

B: on the 7 sided die 7 numbers so the probability getting 4 is \(\frac17\)

Answer:\(\frac12\times\frac17=\frac1{14}\)

I think that it should be 'don't hurt me any more'.

A rational number is a number of the form a/b where a and b are both integers, so I suppose the answer is no since 0.45 is not of this form.

If however you write it in its fractional form 45/100 = 9/20, then it is.

You have to tell us something about A and B.

Assuming that they lie on the circumference of the circle, the angle that they subtend at the centre will do.

If that angle is \(\displaystyle \theta\), then the length of the arc will be \(\displaystyle r\theta\) where r is the radius of the circle, 25 in this case.

Answer a different question first.

What do you get if you differentiate

\(\displaystyle \ln(x^{2}-25)\) ?

2²+10²=4+100=104

663 isn't a prime number. the answer is none.

3x + y  =  -2

5x + 2y  =  -5

I'm choosing to eliminate y from both equations by multiplying the top equation by -2 and then adding down the columns.

-2[3x + y  =  -2]     --->     -6x - 2y  =   4

                                        5x + 2y  =  -5

                              --->     -x         =  -1     --->     x = 1

Replacing x with 1 in the top equation:  3(1) + y  =  -2

                                                                    3 + y  =  -2

                                                                          y  =  -5

(100-33.75)/2 = 33.125

Since cos  =  1/sec, when  sec = 2,  cos  =  12

No, 45/100 is not rational because 45 cannot be evenly divided by 100.

Because math is an abstract object and it doesn't have a mind for itself

No, jet fuel cannot melt steel beams. Jet fuel, however, can weaken steel beams quite a lot.

how many moles are in 120 grams of neon?

Since the molecular mass of Neon is: 20.1797 grams, then it follows that 120 grams will have:

120 / 20.1797 =~ 5.95 moles of Neon.

Samuel is 4 times Victor's age. In 12 years, Samuel will only be 2 times Victor's age. How old is Victor now?

If Victors's age today=V, then

Samuel's age will be =4V

4V - 12=2V

V=6 Victor's age today

6 x 4=24 Samuels' age today.

6 +12 =18 Victor's age 12 years from now

24 + 12=36 Samuels' age 12 years from now.

Samuel is 4 times Victor's age. In 12 years, Samuel will only be 2 times Victor's age. How old is Victor now?

x = samuel

y = victor

\(\begin{array}{lrcll} (1) & 4\cdot y &=& x \quad & | \quad :4 \\ & y &=& \frac{x}{4} \\\\ (2) & (x+12) &=& 2(y+12) \quad & | \quad y = \frac{x}{4} \\ & (x+12) &=& 2(\frac{x}{4}+12) \\ & x+12 &=& 2\cdot \frac{x}{4} +2\cdot 12 \\ & x+12 &=& 2\cdot \frac{x}{4} +24 \\ & x+12 &=& \frac{x}{2} +24 \quad & | \quad -\frac{x}{2} \\ & x-\frac{x}{2}+12 &=& 24 \quad & | \quad -12 \\ & x-\frac{x}{2} &=& 24-12 \\ & x-\frac{x}{2} &=& 12 \\ & \frac{x}{2} &=& 12 \quad & | \quad \cdot 2 \\ & x &=& 12 \cdot 2 \\ & \mathbf{ x } & \mathbf{=} & \mathbf{24} \\\\ & y &=& \frac{x}{4} \quad & | \quad x = 24 \\ & y &=& \frac{24}{4} \\ & \mathbf{ y } & \mathbf{=} & \mathbf{6} \\\\ \end{array}\)

Samual was 24 and Victor was 6.

Now Samual is 24+12= 36 and Victor is 6+12= 18 years old.

Thank you 

Thank you 

a cookie recipe requires 1\2 cup of sugar. whitch is equivalent to 1\2

2\3?

3\5?

4\8? or

6\10