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Part = rate X whole Since 1/4 is left, 3/4 of the water has been consumed. 1125 mL = (3/4) (mL for whole pitcher) 1125/ (3/4) = mL for whole pitcher 1125/ (3/4) = 1125 * (4/3) = 4500/3 = 1500 mL   Part = rate X whole   Since...

A = L x W = 77 feet   Since L = W + 4, we can substitute W+ 4 for L in the equation for area.   A = (W + 4)(W) = 77   W^2 + 4W = 77   W^2 + 4W - 77 = 0   Factor:   (W + 11) (W - 7) = 0   W...

1st shift : x chairs 2nd shift : (4/3)x - 60 x + (4/3)x - 60 = 2320 (3/3)x + (4/3)x - 60 = 2320 (7/3)x - 60 = 2320 (7/3)x = 2320 + 60 (7/3) x = 2380 (3/7)(7/3)x = (3/7)(2380) x = 3(340) = 1020 2nd...

.09x + .11(4x + 20,000) = 54670   .09x + .44x + 2200 = 54670   .53x +2200 = 54670   .53x = 54670 - 2200   .53x =  52470   x = 103,150.94

You only have two equations and 3 variables.   Usually this question would have a relationship between nickels and dimes, dimes and quarters, or nickels and quarters for the 3rd equation.   The only two you have:   N + D + Q = 63 .05(N) + .1(D)...

The way the question is written, it can't be solved so much as it can be simplified.   12x * 5 + 2/10   It could be written like this with the same order of operation... (12x * 5) + (2 ÷ 10)     PEMDAS leads you to do multiplication...

5L       6.5L ---  =   ----- 1.5L       x   Cross multiply:     5 * x = 1.5 * 6.5   5x = 9.75   x = 1.95L

2x + 3y = 101 x + y = 45     2  3   [x]    101   1 1    [y]    45       A-! = 1/det A [ 1   -3]                     [-1...

I am guessing that you want an expression that matches the description.   Let n be the number   -7(n-5)

T = tape deck R = radio   1)  5T + 7R = 823   2)  T = 2R - 2   Substitute the 2R-2 into equation 1) for T.   5(2R-2) + 7R = 823   10R - 10 + 7R = 823   17R - 10 = 823   17R = 833   Divide...

Need to determine how much Darren makes per hour:   \$56/8 hours = \$7/hr.   Now divide the \$196 by the \$7/hr. to get the number of hours he must work:   196/7 = 28 hours   Alternatively:   56         196 ----...

Let w = width l = 5w - 19 Area of a rectangle is length * width: Area = l * w = 30 Substitute 5w-19 for l: Area = (5w - 19)(w) = 0 30 = 5w^2 - 19w 5w^2 - 19w = 30 5w^2 - 19w - 30 = 0 (5w + 6) (w - 5) = 0 5w...

___     ____ 9 √x 4 • √x   First term is x raised to the 4th power, then taking the 9th root of that result. Second term is just x raised to the 1/2 power or the 2nd root of x. x4/9 (x 1/2) = x (4/9 + 1/2) Since 4/9 +...

a)   a1 = 5 d = 2 n is the number of terms       an = a1 + (n-1)d   75 = 5 + (n-1)2   75 = 5 + 2n - 2   75 = 2n +3   72 = 2n   n = 36     Sum...

483/50 = 9.66   Since you can't leave 33 people behind (9*50 = 450, 483-450 = 33), you need one more bus to carry those 33 people.   9 + 1 = 10 buses.

\$625. After the rebate is applied, the new price of the computer is \$525.   Original Price - discount price ---------------------------------            Original price     625 - 525            ...

Since the question isn't complete... I will assume the question reads... If the lake is 60 miles away, and Mile is travelling at a rate of 80mph, how long will it take Miles to reach the lake? d = r * t 60 miles = (80 miles/hour) * t Divide both sides...

28.5 in. <= x <= 29 in. , where x is the circumference of the ball.                  •----• ----------|----|----|----------------------------------           28.5   29  29.5     I...

f(x)=-9x^2 +5x+7   Factor out -9 from the first two terms...   -9(x^2 -(5/9)x ) + 7   Complete the square by multiplying -5/9 by 1/2 and squaring it. (-5/18)^2 = 25/324   y = -9(x^2 - (5/9)x + 25/324) + 7 + 9(25/324) .....