The answer is 30578.33
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<span>Slope-intercept form is Y = MX + B. This is in standard form, AX + BY = C. You have to move the X to the other side of the equation and simplify it. </span>
<span>10x - 2y = 10 </span>
<span>- 10x - 10x Subtract 10x from both sides </span>
<span>- 2y = - 10x + 10 Now everything is in the right place, but it still needs to be simplified. </span>
<span>Divide each term by -2, in order to isolate the variable Y. </span>
<span>- 2y/ - 2 = - 10x/ - 2 + 10/ - 2 </span>
<span>The answer is: y = 5x - 5</span>
Answer:
17.5
Step-by-step explanation:
when y is 35 x is 140 so when x is 70 (divided 140 by 2) you also need to divide the y value by 2 so 35/2 is 17.5
Answer:
Paula = 4 hours
Roberto = 12 hours
Step-by-step explanation:
Time taken by Paula = x
Time taken by Roberto = x +. 8
Paula's rate = 1/x
Roberto's rate = 1/(x + 8)
Combined rate = 1/3
Time it takes each if them working alone ;
Paula's rate + Roberto's rate = combined rate
1 /x + 1 / (x +8) = 1/3
Take the L. C. M
((x+8) + x) / x(x+8) = 1/3
(2x + 8) / x(x + 8) = 1/3
3(2x + 8) = x(x + 8)
6x + 24 = x² + 8x
x² + 8x - 6x - 24 = 0
x² + 2x - 24 = 0
Solving the quadratic equation :
x² + 6x - 4x - 24 = 0
x(x + 6) - 4(x + 6) = 0
(x - 4) = 0 or (x + 6) = 0
x = 4 or x = - 6
Time taken cannot be negative
Hence, x = 4
Hence, working alone, it takes ;
Time taken by Paula = 4
Time taken by Roberto = 4 + 8 = 12
