All Answers 358093 Answers

x^2 + x^1=x^3

simply add the powers to get the answer

Let T be total number of votes.

685 = 2T/3 + 125

560 = 2T/3

3*560/2 = T

T = 840

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A bag of sweets contains mints and toffees only.
There are 21 mints in the bag.
One quarter of the sweets are toffees.
Calculate the total number of sweets in the bag.

Let x = mints

Let y = toffees

Let s = the total number of sweets in the bag.

\(\begin{array}{|rcll|} \hline s &=& x + y \quad & | \quad x = 21 \\ s &=& 21 + y \quad & | \quad y = \frac14 s \\ s &=& 21 + \frac14 s \quad & | \quad \cdot 4 \\ 4s &=& 4\cdot 21 + s \quad & | \quad -s \\ 4s - s &=& 4\cdot 21 \\ 3s &=& 4\cdot 21 \quad & | \quad :3 \\ s &=& \frac{4\cdot 21}{3} \\ s &=& 4\cdot 7 \\ s &=& 28 \\ \hline \end{array}\)

There are 28  sweets in the bag.

21 mints and (28-21) = 7 toffees.

Let x = 0.1919191919.....

100x = 19.19191919....

Subtract x from 100x to get 99x = 19

Hence x = 19/99

If x = 0.199999999.....

10x = 1.999999999...

100x = 19.9999999...

Subtract 10x from 100x so 90x = 18 

x = 18/90 → 1/5

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4 

because tom shared 4 apples with sam 

Hmm.  Guest #1 seems to have forgotten the initial 3.

3 - x/(x-3) = 2x/(x+6)

Multiply by (x-3)(x+6):

3(x-3)(x+6) -x(x+6) = 2x(x-3)

3(x^2 + 3x - 18) - x^2 - 6x  = 2x^2 - 6x

2x^2 + 3x - 54 = 2x^2 - 6x

9x = 54

x = 6

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4 apples

Because the function is a straight line the range will be given by the value of the function at the lowest value of the domain, namely f(-2), and the value of the function at the highest value of the domain, namely f(7).

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Imagine a right angled triangle with hypotenuse of length 6 and opposite side to angle t of length sqrt(7).  Then the adjacent length is sqrt(6^2 - sqrt(7)^2) or sqrt(36 - 7) or sqrt(29).  Hence cos(t) = sqrt(29)/6

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Area Between Curves.

Formula:

\(\begin{array}{|rcll|} \hline A = \displaystyle |~ \int \limits_{a}^{b} ~ (~f(x)-g(x)~)\ dx ~| \\ \hline \end{array}\)

2,779 / 60 = 46.32 Hours

So around 46 hours

37.1784 ounces

100(1.04)^2t=300

divide both sides by 100,

= \((1.04)^2·^t=3\)

use the power rule :

\((b^n)^m = b^n·^m \)

=\((1.04^2)^t=3\)

square 1.04

=\(1.0816^t=3\)

use log base 1.0816 = 3

t= log(base, 1.0816) 3 = 14.005511

t== 14.005511

9.

6/2 is 3, and 2+1 is (oobviously) 3 also.

then, 3(3), which is basically 3*3.

Solve for x:
(4 x)/(5) - 3 = 7 - (x)/(2)

Put each term in (4 x)/(5) - 3 over the common denominator 5: (4 x)/(5) - 3 = (4 x)/5 - (15)/5:
(4 x)/5 - (15)/5 = 7 - (x)/(2)

(4 x)/5 - (15)/5 = (4 x - 15)/5:
1/5 (4 x - 15) = 7 - (x)/(2)

Put each term in 7 - (x)/(2) over the common denominator 2: 7 - (x)/(2) = 14/2 - (x)/2:
(4 x - 15)/5 = 14/2 - x/2

14/2 - x/2 = (14 - x)/2:
(4 x - 15)/5 = (14 - x)/2

Multiply both sides by 10:
(10 (4 x - 15))/5 = (10 (14 - x))/2

10/5 = (5×2)/5 = 2:
2 (4 x - 15) = (10 (14 - x))/2

10/2 = (2×5)/2 = 5:
2 (4 x - 15) = 5 (14 - x)

Expand out terms of the left hand side:
8 x - 30 = 5 (14 - x)

Expand out terms of the right hand side:
8 x - 30 = 70 - 5 x

Add 5 x to both sides:
8 x + 5 x - 30 = (5 x - 5 x) + 70

5 x - 5 x = 0:
8 x + 5 x - 30 = 70

8 x + 5 x = 13 x:
13 x - 30 = 70

Add 30 to both sides:
13 x + (30 - 30) = 70 + 30

30 - 30 = 0:
13 x = 70 + 30

70 + 30 = 100:
13 x = 100

Divide both sides of 13 x = 100 by 13:
(13 x)/13 = 100/13

13/13 = 1:
Answer: |x = 100/13=7 9/13

4,325 / 4 =1,081.25 MB - downloads of the standard 2.6 MB pop song

1,081.25 / 2.6 =~416 number of downloads of the standard 2.6 pop song.

4,325 - 1,081.25 =3,243.75 MB - downloads of high-quality pop song.

3,243.75 / 4.9 =~662 number of downloads of the high-quality pop song.

2 is what percent 1000000

2/100 x 1,000,000 =20,000.

Sin(t) =Sqrt(7) / 6 =0.44095855

0.44095855^2 + cos(t)^2 =1

0.19444 + cos(t)^2 =1

Cos(t) =Sqrt(1 - 0.19444) =0.80556

Cos(t) = Sqrt(0.80556)

Cos(t) =0.897527....

Factor the following:
36 x^4 - 25

36 x^4 - 25 = (6 x^2)^2 - 5^2:
(6 x^2)^2 - 5^2

Factor the difference of two squares. (6 x^2)^2 - 5^2 = (6 x^2 - 5) (6 x^2 + 5):
Answer: |(6x^2 - 5) (6x^2 + 5)

asin((-(-9.81)(180.27)/38.7^2). If your denominator is ((38.7)^2) =1,497.69, then:1,768.4487 / 1,497.69 =1.18, which is the "Sine" of your expression. And you cannot have sine greater than 1. It must be between -1 and +1. That is why you get the error message.