<span>To determine the value of the unknown number in this item, we have to let x be that number such that 0.75x is equal to 27. To calculate for the value of x, we divide 27 by 3/4. This operation gives us the value of 36. Hence, the answer to this item is 36.</span>
Answer:
0.064
Step-by-step explanation:
the correct answer is 0.064
Answer:
The answer is below
Step-by-step explanation:
Let s(t) represent the amount of salt in the tank at time t. Therefore:
ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)
![\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%3D%5B%280.08%5C%20kg%2FL%2A6%5C%20L%2Fmin%29%2B%280.09%5C%20kg%2FL%2A5%5C%20L%2Fmin%29%5D-%28%5Cfrac%7Bs%5C%20kg%7D%7B1000%5C%20L%7D%2A11%5C%20L%2Fmin%20%29%20%5C%5C%5C%5C%5Cfrac%7Bds%7D%7Bdt%7D%3D%280.48%5C%20kg%2Fmin%2B0.45%5C%20kg%2Fmin%29-%28%5Cfrac%7B11s%7D%7B1000%7D%5C%20kg%2Fmin%20%29%5C%5C%5C%5C%5Cfrac%7Bds%7D%7Bdt%7D%3D0.93%5C%20kg%2Fmin-%5Cfrac%7B11s%7D%7B1000%7D%5C%20kg%2Fmin%20%5C%5C%5C%5C%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cfrac%7B930-11s%7D%7B1000%7D%5C%20kg%2Fmin%20%5C%5C%5C%5C%5Cfrac%7Bds%7D%7B930-11s%7D%3D%5Cfrac%7B1%7D%7B1000%7Ddt%5C%5C%5C%5CIntegrating%3A%5C%5C%5C%5C%5Cint%5Climits%20%7B%20%5Cfrac%7Bds%7D%7B930-11s%7D%7D%20%5C%2C%20ds%3D%5Cint%5Climits%20%7B%5Cfrac%7B1%7D%7B1000%7D%7D%20%5C%2C%20%20dt%5C%5C%5C%5C-%5Cfrac%7B1%7D%7B11%7Dln%28930-11s%29%3D%5Cfrac%7Bt%7D%7B1000%7D%2BC%5C%5C%5C%5Cmultiply%5C%20through%5C%20by%5C%20-11%3A)
Answer:
could you show us the graph?
Step-by-step explanation:
Answer:
2/6, 4/12, 6/18, 8/24, 10/30
Step-by-step explanation:
Multiply 2 by 2 each time for numerator
Multiply 6 by 2 each time for denominator
Hope this helps!
