You can write this as a proportion
inch over miles = inch over miles
1/14.5 = 4.5/x
cross multiply
x = 65.25
They are actually 65.25 miles apart.
Hope this helps
Isolate the root expression:
![\sqrt[3]{x+1}+2=0\implies\sqrt[3]{x+1}=-2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%7D%2B2%3D0%5Cimplies%5Csqrt%5B3%5D%7Bx%2B1%7D%3D-2)
Take the third power of both sides:
![\sqrt[3]{x+1}=-2\implies(\sqrt[3]{x+1})^3=(-2)^3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%7D%3D-2%5Cimplies%28%5Csqrt%5B3%5D%7Bx%2B1%7D%29%5E3%3D%28-2%29%5E3)
Simplify:
![(\sqrt[3]{x+1})^3=(-2)^3\implies x+1=-8](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%2B1%7D%29%5E3%3D%28-2%29%5E3%5Cimplies%20x%2B1%3D-8)
Isolate and solve for

:

Since the cube root function is bijective, we know this won't be an extraneous solution, but it doesn't hurt to verify that this is correct. When

, we have
![\sqrt[3]{-9+1}=\sqrt[3]{-8}=\sqrt[3]{(-2)^3}=-2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-9%2B1%7D%3D%5Csqrt%5B3%5D%7B-8%7D%3D%5Csqrt%5B3%5D%7B%28-2%29%5E3%7D%3D-2)
as required.
Answer:
Rs. 4,444
Step-by-step explanation:
Let her pocket money be represented as A
She spent 25% of A on her clothes and 11% on shoes and then saved Rs. 1600
Total percentage spent = 25 + 11 = 36%
So, she spent 36% of A and was left with Rs. 1600
This can be represented by the equation below
36% of A = 1600
36/100 x A = 1600
0.36 x A = 1600
Divide both sides by 0.36
0.36/0.36 A = 1600/0.36
A = 4444.44
A = Rs. 4,444
Her pocket money was approximately Rs. 4,444
Answer:
x = 4.29 hours
Step-by-step explanation:
Let
x = number of hours
Stock A at 9.00 AM
13.63 + 0.13x
Stock B at 12.00 pm
14.38 - 0.15(x - 3)
in how many hours will the prices of the two stocks be the same?
Equate the change in prices of both stock
13.63 + 0.13x = 14.38 - 0.15(x - 3)
13.63 + 0.13x = 14.38 - 0.15x + 0.45
13.63 + 0.13x = 14.83 - 0.15x
13.63 - 14.83 = -0.15x - 0.13x
-1.2 = -0.28x
x = -1.2/-0.28
x = 4.2857142857142
Approximately,
x = 4.29 hours