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my mistakes, the W is also supposed to be an x

4quarts=1 gallon so 42/4=10.5 so it's 10gallons and 2quarts so to anwser the question its 10.5gallons.

4 to the 3rd power is 4*4*4 so then you do 4*4=16 and 16*4=64 

if your on computer use the subtracting sign and if on ipad do the same thing. hope that helps.

Very  nice, hectictar......!!!!

"Math is a life skill needed by everyone to make even simple choices in regard to insurance rate, investment options and looking at stock market trends and data.

Math is necessary even in sports and for playing board games like chess where one has to make strategic moves. In sports, some uses of math include knowing about statistics, probability and geometry. For example, in bowling, players need to figure out the best angle to throw a ball for a strike."

Assuming that there are  "n"  total  people

Anchor Anna and Bob in any two chairs separated by two people.....then the other people can be arranged in (n - 2)! ways

And Anna and Bob  themselves can be arranged in 2 ways

So.....the total number of arrangements  =   2 * ( n - 2)!   ways

 Notice that the sum of the two numbers  - even + odd -  will always be odd

So...the probability of "A"  is 0%  and the probability of "B"  is 100%

Looking at the 4 x 4  face, we have  4 x (5 - 2) = 4 x  3  = 12   "inner cubes"  that will have no paint on them

the volume of the prism = 4 * 4 * 5 = 80 cubic units

Imagine a shell that surrounds the prism that has a thickness of 1 cubic unit. All of the cubes in this shell have paint on them. All of the cubes inside the shell have no paint on them.

the volume of the prism inside the shell = (4 - 2) * (4 - 2) * (5 - 2) = 2 * 2 * 3 = 12 cubic units

So...there are 12 cubes without any paint on them.

The total number of committees that can be formed = C(25,5)  = 53130

And from this we just want to subtract all the commitees that can  be formed solely of boys  = C(10,5) = 252 and all the committees that can be formed solely of girls  = C(15,5)  = 3003

So.....the probability of a committee with at least one boy and one girl  =

[ 53130 - 252 - 3003] / 53130  = .9387  = 93.87%

Well, you can immediately eliminate the possibility of any of the digits being 5,6,7,8, or 9 because that would result in a sum greater than 4, which simplifies the problem somewhat.

\(\begin{array} \ -1\leq\sqrt3\tan x \leq1 \\~\\ -1\leq\sqrt3\tan x&\qquad&\sqrt3\tan x \leq 1 \\~\\ -\frac{1}{\sqrt3}\leq\tan x &\qquad& \tan x \leq \frac{1}{\sqrt3} \\~\\ -\frac{\sqrt3}{3}\leq\tan x &\qquad& \tan x \leq \frac{\sqrt3}{3} \\~\\ \arctan(-\frac{\sqrt3}{3}) \leq x &\qquad& x \leq \arctan(\frac{\sqrt3}{3}) \\~\\ -30^{\circ}+180^{\circ}n \leq x &\qquad& x \leq 30^{\circ}+180^{\circ}n \qquad\text{, where n is an integer}\\~\\ -30^{\circ}\leq x-180^{\circ}n &\qquad&30^{\circ}\leq x-180^{\circ}n \\~\\ -30^{\circ}\leq x-180^{\circ}n\leq30^{\circ}\end{array}\)

So...for instance...

-30º   ≤  x  ≤  30º

150º  ≤  x  ≤  210º

330º  ≤  x  ≤  390º

I think this is right, but I am not 100% confident in this answer...

Let the area of the living room  =  A

So

35  =  (1/5)A - 25          add 25 to both sides

60  =  (1/5)A        multiply both sides by 5

5 * 60  = A  =  300 sq ft

Might want to upgrade from a Commodore 64. 

Might I recommend an entry-level tower PC for about $200-$300?

Since only the x coordinate changes, B is a reflection of A across the y axis

lucy's birth year + mother's birth year + lucy's age + mother's age

Since their birthdays occurred in January, and it is now March...

lucy's age = 2015 - lucy's birth year

mother's age = 2015 - mother's birth year

Substitute these values in for lucy's age and mother's age.

= lucy's birth year + mother's birth year + (2015 - lucy's birth year) + (2015 - mother's birth year)

= lucy's birth year + mother's birth year + 2015 - lucy's birth year + 2015 - mother's birth year

= 2015 + 2015

= 4030

Well, let's test!

Let's take 17/46

17/46 = 0.3695652173913043

Yep! It does both ways! It can convert fractions to decimals and decimals to fractions!

Forgot 0 could have been a solution ouo);;; Thank you for posting the correct answer.

(x + 4) / 4  =  (x + 3 ) / 3   cross-multiply

3(x + 4)  = 4(x + 3)  simplify

3x + 12  =  4x + 12     subtract 12 from both sides

3x =  4x         subtract 3x from both sides

0 = 4x - 3x

0  = 1x          divide both sides by 1

0  =  x

No problem!

thank u

y would be 1.5

0*1=0

y*1=y

The equation is now y=1.5

y=1.5

\({x+4 \over 4} = {x+3 \over 3}\)

No solution.

Test x=1

1+4               1+3
----       =       ----

  4                   3

5/4 ≠ 4/3

There is no solution.