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Let each of Sheila's 6 deposits =D

Let each of Sherri's 5 deposits =D+10

6D =5(D+10)

6D =5D + 50

D=$50 each of the 6 deposits made by Sheila

$50+$10 =$60 each of 5 deposits made by Sherri

$50 x 6 =$60 x 5 =$300 The total that each sister deposited.

21/38 =21/38 and that is it!. Cannot reduce it any further.

I tried dividing but I dont know if I am simplifiying wrong or what. Could you write it out for me? maybe I can see what I am doing wrong? Thank you Melody

Solve for x:
x^4+x^2-2 = 0

Substitute y = x^2:
y^2+y-2 = 0

The left hand side factors into a product with two terms:
(y-1) (y+2) = 0

Split into two equations:
y-1 = 0 or y+2 = 0

Add 1 to both sides:
y = 1 or y+2 = 0

Substitute back for y = x^2:
x^2 = 1 or y+2 = 0

Take the square root of both sides:
x = 1 or x = -1 or y+2 = 0

Subtract 2 from both sides:
x = 1 or x = -1 or y = -2

Substitute back for y = x^2:
x = 1 or x = -1 or x^2 = -2

Take the square root of both sides:
Answer: |x = 1    or    x = -1    or    x = i sqrt(2)    or    x = -i sqrt(2)

what is the percentage of 13/47 can you tell me

Why didn't you get the result of your division????

13/47 =0.2766 x100 =27.66%

Young person: at least, you should have the courtesy of writing your Math symbols in English Alphabet!!. You know our computers don't come with Russian Alpahbet keyboards as well!.

100%

MUST BE IN YOUR TEXTBOOK. JUST LOOK IT UP!.

a)

Solve for x:
4 (x-1)+2 x = 4 x+2

4 (x-1) = 4 x-4:
4 x-4+2 x = 4 x+2

Grouping like terms, 4 x+2 x-4 = (4 x+2 x)-4:
(4 x+2 x)-4 = 4 x+2

4 x+2 x = 6 x:
6 x-4 = 4 x+2

Subtract 4 x from both sides:
(6 x-4 x)-4 = (4 x-4 x)+2

6 x-4 x = 2 x:
2 x-4 = (4 x-4 x)+2

4 x-4 x = 0:
2 x-4 = 2

Add 4 to both sides:
2 x+(4-4) = 2+4

4-4 = 0:
2 x = 2+4

2+4 = 6:
2 x = 6

Divide both sides of 2 x = 6 by 2:
(2 x)/2 = 6/2

2/2 = 1:
x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:
Answer: |x = 3

b)

Solve for x:
25-x = 5-3 x

Add 3 x to both sides:
3 x-x+25 = (3 x-3 x)+5

3 x-3 x = 0:
3 x-x+25 = 5

3 x-x = 2 x:
2 x+25 = 5

Subtract 25 from both sides:
2 x+(25-25) = 5-25

25-25 = 0:
2 x = 5-25

5-25 = -20:
2 x = -20

Divide both sides of 2 x = -20 by 2:
(2 x)/2 = (-20)/2

2/2 = 1:
x = (-20)/2

The gcd of -20 and 2 is 2, so (-20)/2 = (2 (-10))/(2×1) = 2/2×-10 = -10:
Answer: |x = -10

c)

ANY VALUE OF X IS SOLUTION. BUT NO SPECIFIC SOLUTION.

What percent of 34 is 34

34/34 = 1 x 100 =100%

fund has ₱50,000 in its account. If it earns 9.79%, how much interest will it have from February 1 to December 15? Use exact interest, approximate time.

From Feb. 1, 2016 to Dec. 15, 2016 =318 days

50,000 x 9.79/100 =4,895 Interest for 1 full year

4,895/365 x 318 =4,264.68 Interest for 318 days of 2016.

Solve for x:
p x-q x = r

Collect in terms of x:
x (p-q) = r

Divide both sides by p-q:
Answer: |x = r/(p-q)

25 x^4+10 x = 0

Factor x and constant terms from the left hand side:
5 x (5 x^3+2) = 0

Divide both sides by 5:
x (5 x^3+2) = 0

Split into two equations:
x = 0 or 5 x^3+2 = 0

Subtract 2 from both sides:
x = 0 or 5 x^3 = -2

Divide both sides by 5:
x = 0 or x^3 = -2/5

Taking cube roots gives (-2/5)^(1/3) times the third roots of unity:
Answer: |x = 0    or    x = (-2/5)^(1/3)    or    x = -(2/5)^(1/3)    or    x = -(-1)^(2/3) (2/5)^(1/3)

12% of 12   is  12/100 x 12 = 1.44

There is an error here somewhere

6x-14 = 6x - 15    Subtract 6x from both sides

-14 = -15              Not possible !

The first one is  'C'    where    sinx = + sqrt2/2   is in 1 st and 2 nd quadrants      pi/4 and 3pi/4

The second one is  'D'     at pi/7   and 6pi/ 7   sin has the same positive value. 

(Sin is negative from pi to 2pi....thought the question only asked about 0-->pi )

It is called "exponentiation", which means:the raising of a number to any given power. Example: raise 10 to the 5th power.It is written like this:10^5. OK?. Are you happy now?.

\(\sqrt{}\)\(\Pi \)  =   sqrt(3.14)  = 1.7725

Remember   SOHCAHTOA       Tangent = sin / cos

Tan a  = 1 = sin a / cos a  

or  cos a = sin a

the only value where sina = cosa  = +- sqrt(2)/2

Not sure why info is given about tan b