how do i write and solve a system of linear equations for a story problem (answer)
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 ...
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