## Answers by Priti S.

Use Distance = rate * time : d= r*t Upstream : boat is against the water so speed goes down : speed of the current = - r downstream : boat is flowing with the water so speed become faster   speed of the current =  +r   time is 1.5 together    create...

Let Tina = x, Dawn = y, and Harry = z   Together they have 175:     x+y+z = 175 Tina has 3 times as much as dawn:  x = 3*y dawn has twice as Harry: y= 2*z ____________________________ Now you have total 3 equations: x+y+z...

8 ≤ 3/4(2x+5) ≤ 6      avoid working with fraction so multiply the whole equation by 4 32 ≤ 3(2x+5) ≤ 24    Now distribute 3 32 ≤ 6x+15 ≤ 24      subtract 15 to front and back 32-15 ≤ 6x ≤ 24-15  simplify 17 ≤ 6x ≤ 9  ...

ax2+bx+c = 0, Quadratic formula:  x = [ -b ± sqrt(b^2 - 4ac) ] / 2a     1.   x^2-8x+20=0 a=1, b=-8 , c=20  Plug in the value for a, b and c in the quadratic formula     x = [ -b ± sqrt(b^2 - 4ac) ] / 2a x =...

5(t+3)+9 = 3(t-2)+6   Use distribution property  5t+15 + 9 = 3t-6 + 6 Combine like terms on same sides 5t+ 24 = 3t                Now combine like terms by subtracting 5t on both side -5t  ...

|x|+2 < 13             To solve absolute value problems, absolute value has to be all by itself.    Therefore move over the 2 by subtracting it to the other side of equal sign.   |x|+2  -2  < 13  -2  ...

Given: 2x-y=4 x+5y=24      Using substitution Solve for y in 1st equation 2x-y = 4     (add y over and subtract 4 over to other side to make y all by itself) y = 2x- 4   Now take 2nd equations and substitute for y  since...

Start out writing equation in Slope Intercept form: Y= MX + B   Use the point and slope to plug into the equation so you can solve for B. (1,2) and Slope (M) = 7   2 = (7)(1) + B 2 = 7 + B (Subtract 7 to find B) B = -5   Now write...

Use the distance formula: √( (x2-x1)² + (y2-y1)²)   Given : (x1,y1) & (x2,y2) For ex: (2,7) and (5,11)   =√( (5-2)² + (11-7)²) =√( (3)² + (4)²) =√(9 + 16) =√(25) = 5

9m^3n-36mn^3+39m^4n^2  Find the GCF (Greatest Common Factor) : 3 m n   3 m n (3 (m^2)-12 (n^2) + 13 (m^3) n)

If the equation is x^2 - 18x + 79 = 0   Completing the Square : move the number 79 on the other side of equal sign and use formula as indicated x^2 +bx +(b/2)^2  = c + (b/2)^2   x^2 - 18x  (-18/2)^2 = -70 + (-18/2)^2 x^2 - 18x...

a.  Use substitution to solve   (substitute for y and set them equal to each other) y = 5x - 3 y = 3x - 1    5x - 3 = 3x - 1     -3x       -3x ______________ 2x - 3 = - 1     +3     +3 ______________ 2x...

5√75 -4√50 + √48 = take this equation and break them into perfect square factors. 5√(25*3) -4√(25*2) + √(16*3)  Perfect square can come out see below for the rules 5*5√3 -4*5√2 + 4√3  25√3 -20√2 + 4√3   Now you can old add / subtract the front...

Start out with distributing √2 to the bracket(√2+y√6) √2*√2+y√2*√6 √4+y√12  Now simplify by bringing out the perfect square numbers. 2+y*2√3 2+2*y√3   I hope this helps   Memorize this and it really get easy 1^2 = 1  &...

what you have found is correct but i think you accidentally lost your sign   -12/8 is correct which will simplify as -3/2  or -1.5 .   Next you will have to write out the slope intercept form equation   Y = MX + b   Now plug in the order pair...

Write this equation in Slop-intercept form and it would be the best way.   Y= MX + b    Where M => Slope and b => y-intercept and (0,2) is already a y-intercept Y=-3x/5 + 2   I hope this helps!!

the conversion from decimal to minuets is 60. 1 hours has 60 mins.   so you take the .8 *60 = 48 mins so total 24 hrs and 48 mins.     for example 1.5 hours so take .5*60 = 30 mins   I hope this helps!

For factoring start out with (  ) (  ) double brackets   factor the first term 5x^2 (which is 5x & 1x place them as indicated below) (5x     )(x    )   Now think of factor of -72  For example (8 & 9 , 12 & 6, 1 & 72,...

rewrie it as you can see the form   (x^2-5)^2   now write them twice  (x^2-5) (x^2-5) FOIL x^4 -5x^2 -5x^2 +25 combine like terms x^4 -10x^2+25

Hello   Well you are not getting the correct equation   x+3y=15 3y=-x+15 now divide 3 to both x and 15 y= -x/3 +15/3   so y=-x/3+ 5 now pick points for x (i pick the easy one to solve for) and solve for y   x...