Well the real answer is three hundred-ninety three point five. So numbers around it could be three hundred and fifty and four hundred. An estimate could be three hundred and seventy five.
Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e.
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is .
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.
The total number of books is the sum of the chapter books and picture books, 11+7 =18
Thus 18 is the total number of books
If she gave away 1/3 of the books, 6 books were given away as 1/3 of 18 is 6
=> Ella gave 6 books to her cousin
Answer:
Step-by-step explanation:
<u>Use distance formula:</u>
- d = st, where d- distance, s - speed, t - time
a)
<u>Total distance is:</u>
<u>Solve for x:</u>
- 8x = 70 - 10y
- x = (70 - 10y)/8 = (35 - 5y) / 4
<u>Solve for y:</u>
- 10y = 70 - 8x
- y = (70 - 8x) / 10 = (35 - 4x) / 5
b)
<u>Average speed is:</u>
- s(av) = d / t = 70 / (x + y)
c)
<u>The second scenario:</u>
<u>Combine with the first one and solve the system:</u>
<u>Solve by elimination as below:</u>
- 5(10x + 8y) - 4(8x + 10y) = 5*72 - 4*70
- 50x + 40y - 32x - 40y = 360 - 280
- 18x = 80
- x = 40/9
<u>Find y:</u>
- 10*40/9 + 8y = 72
- 8y = 72 - 400/9
- 8y = 248/9
- y = 31/9