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let x be the price of pizza without toppings let y be the price of each topping.     x + 3y = \$15.25                   eq. 1   x + 5y = \$17.75                  ...

It's a square. Area is 18 and perimeter 12√2.

let x be the speed of the current downstream. let y be the speed of rowing.   3 (y - x) = 6      --------> (y - x) = 2 -------> y = x + 2   eq. 1           2( y + x) = 6      eq. 2   substitute...

let x be the number of videos rented so that you pay the same amount with or without membership.   \$25.00 + (\$3.50)x = (\$5.00)x   \$25.00 = \$5.00x - \$3.50x   \$25.00 = \$1.50x   x ≈ 16.67   you have to rent at least 17 videos...

since 48% are girls, therefore, 52% are boys. let x be the total students.   so,    .52x = 260   .52x/.52 = 260/.52   x = 500   so, there are 500 students.

What I would do is look at the graph and find the y intercept. Now, calculate the slope of the line by obtaining two points from the graph. Lastly, find the equation with the same y-intercept and slope.

-8x2 + 9x + 5 = 0   a = 8, b = 9, c = 5   [-b ± √(b2 - 4ac)]/2a   [-9 ± √(92 - 4*-8*5)]/2*(-8)   [-9 ± √(81 + 160)]/-16   [-9 ± 15.52]/ -16   x = -.408 or x =1.53

(3 gallons/70 miles) * 105 miles (315 gallons * miles) / 70 miles   315 gallons/70 = 4.5 gallons.

18b2 + 12b   first look for the biggest number the coefficients can divide in to (18 and 12). We see that it's 6. So, we factor out 6. Now, let's look at the variable b. We look for the b with the smallest exponent, in this case b1 which is equivalent to just b. We factor out...

C = \$2130000 + \$.68x

Perimeter 180 feet   Let w be the width, so length is 5w.   so,   2w + 2(5w) = 180    2w + 10w = 180   12w = 180   w = 15, so length is 75

let P be the weight of peanuts he bought. So the weight of Cashews is 10 - P.   3P + 7(10 - P) = 50   3P + 70 - 7P = 50   3P - 7P = 50 -70   -4P = -20   P = 5   So, Bill bought 5 pounds of peanuts and 5 pounds...

2:3:5   2x * 3x * 5x = 810   30x3 = 810     divide both sides by 30:   x3  = 27   take cube root of both sides:   x = 3   so, dimensions are 2x, 3x, 5x or 6 meters, 9 meters, 15 meters...

x + x/2 - 4 = x/4   x + x/2 - x/4 = 4   4x/4 + 2x/4 - x/4 = 4   5x/4 = 4   multiply both sides by 4:   5x = 16   divide both sides by 5:   x = 16/5

Let x be the amount full timers will get.   40x + 30(.5x) = 2550   40x + 15x = 2550   55x = 2550   55x/55 = 2550/55   x = \$46.36   so, full time employees get \$46.36 and part time employees get \$23.18 &nbs...

√x = √(x + 3) - 1   √x + 1 = √(x + 3)   (√x + 1)2 = (√(x + 3))2   x + 2√x + 1 = x + 3   subtract x from both sides:   2√x + 1 = 3   subtract 1 from both sides:   2√x...

3,000 * (1 + .06/4)5*4   3,000 * (1.015)20   3,000 / 1.347 = \$2,227.17

430t + 510(t - .5) = 850   430t + 510t - 255 = 850   940t = 850 + 255   940t = 1105   940t/940 = 1105/940   t ≈ 1.176 hours   510(1.176 - .5) = 344.76 miles

3(x + 2) = 5x - 14   3x + 6 = 5x - 14   6 + 14 = 5x - 3x   20 = 2x   x = 10 ??????   we have an integer but it's not odd.

The independent variable would be how many minutes were used. Let's say minutes used is x, and total   monthly charge is y, so:   \$4.95 + (\$.07)(x) = y