<span>3318.13252 Is My Answer
</span>
Step-by-step explanation:
working together, Sasha and Lorenzo can wash the dishes and 18 minutes. Washing the dishes alone, it will take Sasha 15 minutes more than the amount of time it would take Lorenzo to wash the dishes alone. How long will it take Lorenzo to wash the dishes alone?
Sasha finishes the job alone in 18+15=33 minutes
L = time it takes Lorenzo alone
S = time it takes Sasha alone
Every minute,
Lorenzo will finish 1/L of the job
Sasha will finish 1/S of the job = 1/33
Together, they will finish 1/S+1/L of the job.
We know that it takes them 18 minutes to finish the job together, so we have
1/L + 1/S = 1/18
1/L + 1/33 = 1/18
1/L = 1/18 - 1/33 = 5/198
So
L = 198/5 = 39 3/5 minutes = 39.6 minutes
Answer: it will take Lorenzo 39.6 minutes to finish the dish-washing.
Answer:
there should not be negative number in rational number
The answer is chicken $8, duck $5
x - the cost of a chicken
y - the cost of a duck
<span>he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
</span><span>he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
</span>50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55 Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
Minimum value is equal to x=8, y=-4
First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16
at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.
Just plug in 8 to the original equation to find the answer for the minimum value.
