All Answers 358525 Answers

(-3/4) x> -15/16 + (1/3)x   subtract (1/3)x from both sides

(-1/3)x - (3/4)x > -15/16

(-13/12)x > -15/16     multiply both sides by -12/13   and reverse the inequality sign

x < (-15/16)(-12/13)

x <  45/52

1.  P(High IQ or High Creativity)  = P(High IQ)  ) + (High Creativity) - P(High IQ and High Creativity)

                                                    =  155/200        +  145/200          -      125/200       =

                                                                               175/200

3.  I'm assuming that the 12 cards are Jacks, Queens, Kings and Aces

a) probability of selecting 2 cards???   = 100%  [I doubt that this is the question]

b)probabilty of selecting 2 face cards  = (12/16)* (11/15)  = 132/240  = 11/20

c) two aces  = (4/16)(3/15)  =  12 / 240   = 1/20

d) two red cards  = (8/16)(7/15)  =   7/30

if you rewrite this you get -37 - 42 - 141

-37-42= -79

-79-141= -220

so the answer is -220

Just have the numerator dived by the denominator

8 cupcakes

9 is correct

|-15+26|+(99-101)=

l 11 l  +  -2  =

11  - 2  =

9

|15+26| + (99-101)

|41| + (-2)

41 + (-2)

41 - 2

39

:)

#2. We know that there are 8 possibilities and that there are 3 even numbers, 1 number that is ONLY divisible by 3, and one that is both. 

3+1+1=5

5/8

There is a 5/8 chance.

   -3/4 x> -15/16 +1/3x= subtract 1/3x from both sides

-13/12x >  - 15/16 divide both sides by -13/12

x > -15/16 X -12/13

x > 180/208

x > 45/52

f(x)=10/x^4 + 3/x^2

1. quotient rule   ........     y = f(x)/g(x)    → y ' =  [ f'(x)g(x)  - g'(x)f(x)] / [ g(x)]^2

   [0*x^4 - 4x^3 *10] / [x^8]    +  [0*x^2 - 2x *3]/ [ x^4]   =

[ -40x^3] / [x^8]   + [ -6x]/ [x^4]   =

-40 / x^5   - 6 / x^3

2.   f(x)  = 10x^-4  + 3x^-2   ....use the power rule.....

f ' (x)  =  -40x^-5   - 6x^-3    =   -40/x^5 - 6/x^3

3. as a single fraction  =   f(x)  =  [10 + 3x^2] / x^4

f ' (x)  =   ( 6x * x^4  -  4x^3 [10 + 3x^2] ) / x^8  =

(6x^5 - 40x^3 - 12x^5) /x^8  =

[-6x^5 - 40x^3] / x^8  =

[-6x^5]/ x^8   -   [40x^3] / x^8  =

-6/x^3  - 40/x^5  =       -40/x^5 - 6/x^3

4. All are the same

Note, Yura_chan......I rarely [if ever] use the quotient rule......much each easier to write the expression with negative exponents and use the power rule.....IMHO......!!!!

Solve for y:

4/x+3/y = 1/z

Bring 4/x+3/y together using the common denominator x y:

(3 x+4 y)/(x y) = 1/z

Cross multiply:

z (3 x+4 y) = x y

Expand out terms of the left hand side:

3 x z+4 y z = x y

Subtract x y+3 x z from both sides:

y (4 z-x) = -3 x z

Divide both sides by 4 z-x:

Answer: |y = -(3xz)/(4z - x)

The ARC measure is a FRACTION of the CIRCUMFERENCE

pi x d  = circumference        the arc measure will be given by  (degrees of arc)/360  x pi x d

The answer to 9+10 is indeed, 21.

Find the 'y' distance   (7-2) = 5

Find the 'x' distance   (1-5)  = -4

These two distances form a RIGHT triangle....we need to find the shortest distance to the field...THIS will be the hypotenuse    ... use pythagorean theorem

5^2 + (-4)^2 = c^2        c= 6.403 distance units     The distance unit is said to de TEN YARDS

6.403 (10) =  64.03 yards

∩  means "intersection"......it is defined as the set of all the elements common to some n sets

U  means "union".......it is  the set composed of all the elements of n sets

A  =  { 1,2,3,4}

B = { 2,3,5, 6}

C = {3,4,6,7}

So.....B ∩ C  =  { 3, 6 } = {6, 3} [ the order doesn't matter]     "A"  is the answer

And  C U A  = { 1,2,3,4,6,7}   "E"  is the answer

Surface Area of a solid rectangle = 2(L*W + H*W + H*L)

2(L*W + H*W + H*L)=2[22*24 + 8*22 + 8*24]

2[528 + 176 + 192] =

2[896]=1,792 square feet

1,792/500=3.584 gallons of paint for 1 coat.

3.584 X 2=7.168 or about 7 gallons needed for 2 coats of paint.

THREE necklaces x 7 = 21 dollars     21 + 9 = 30 dollars initially    or 10 ea

x=initial amount= ((7 x 3) + 9) / 3   

2 7/12 x 6 =  31/12 x 6 =   186/12 = 15 1/2

.25 is the decimal. i dont know what your asking.

4/x + 3/y = 1/z     subtract 4x from both sides

3/y = 1/z - 4/x      Multiply both sides by , then divide both sides by (1/z-4x)

3 / (1/z-4/x) = y

1.  We need to solve this :

[n (n + 1)] / 2  = 1,000,000

n^2 + n  = 2,000,000

n^2 + n - 2,000,000 =  0

WolframAlpha  gives the solution that n ≈ 1413.7......so......you need about 1414 terms

2.  We need to solve this :

1 [ 1 - 1.01^n] [1 - 1.01]   = 1000000

WolramAlpha gives the solution that  n ≈ 925.6 ........so.....you need about 926 terms

Two walls are  22 x8 = 176x2= 352 sq ft

two walls are   24 x8 = 192x2= 384

Total sq ft  = 384 + 352 = 736       We want TWO coats so  736 x2 = 1472 sq ft

1472/500 =~ 3 gallons

Use "2nd" key in the left hand corner of the top row. Then use "asin" followed by = key.

There are infinitely many solutions to x.