Answer:
Cost of the coat = $54
Step-by-step explanation:
Given:
She saved = $ 9
To Find:
Cost of the coat = ?
Solution:
Let the price of coat be x
She saved $9
and according to given condition it is 1/6 of the total money she needs for buying coat
by this we have

Multiplying both sides by 6

it becomes
x = 9*6
x = $54
As x is the amount she needs
so
Cost of the coat = $54
Multiplying both sides by
gives

so that substituting
and hence
gives the linear ODE,

Now multiply both sides by
to get

so that the left side condenses into the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E3v%5D%3D3x%5E2)
Integrate both sides, then solve for
, then for
:




![\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Csqrt%5B3%5D%7B1%2B%5Cdfrac%20C%7Bx%5E3%7D%7D%7D)
Answer:
11.2 units
Step-by-step explanation:
From (-7, -7) to (-2, 3) is 5 units horizontally and 10 units vertically. Thus we have a right triangle with sides 5 and 10 respectively. The length of the hypotenuse of this triangle is the distance between (-2, 3) & (-7, -7):
d = √(5² + 10²) = √(25 + 100) = √125 = √25√5, or 5√5.
This is approximately 11.2 units
Answer:
631139.04 kilometers in 3 years
Step-by-step explanation:
Let x = how many kilometers she walk
y = time (minutes)
Since she walks 4km in 10 minutes.
x = 4, y = 10
(4,10)
But how many minutes if she walk only a kilometer? Divide x and y by 4.
(1,2.5)
She walks a kilometer under 2.5 minutes.
Now finding rate of changes.

Since m = 2.5
and of course, the function should be proportional so the equation should be y = mx.

Since time should be minutes instead of years.
Since 3 years = 1577847.6 minutes

Divide both sides by 2.5

Answer:
the answer is A i finished that test now im on another test and timed sorry for no explanation
Step-by-step explanation:
A