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...

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...

Chairs produced by second shift. (answer)

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...

How much did invest at each amount. (answer)

.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)...

12x ×5 +2 ÷10 (answer)

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...

A 5L PC uses 1.5L oil for a recipe. How much oil is reqd for the same recipe, if we use a 6.5L PC?? (answer)

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...

Use rational exponents (answer)

___ ____ 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.

Word Problems (answer)

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

If the lake is 60 miles away, and miles is traveling at a rate of 80 mph how long will it take miles (answer)

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) .....

Great answer Arthur.