Answer:
200 teddy bears
Step-by-step explanation:
D : TB
6 : 5
Let the total number of dolls be 6x and the total number of teddy bears be 5x.
6x = 240
5x =
× 240
= 200 teddy bears
4x + y = 12
Get y by itself
Subtract 4x
y = -4x + 12
Since you know what y is, you can plug the value into the second equation
6x + 2(-4x + 12) = 18
6x - 8x + 24 = 18
-2x = -6
x = 3
Plug the value 3 into x for y = -4x + 12 in order to find y
-4(3) + 12 = y, y = 0
Solution: x = 3, y = 0
Answer:
72 signs
Step-by-step explanation:
90 min = 1.5 hour
6 hours hangs 6/1.5 * 18 signs = 72
25x^2 - 30x + 9
= 25x^2 - 15x - 15x + 9
= 5x(5x - 3) - 3(5x - 3)
= (5x - 3)^2 Answer
Its the second choice
Answer:
A)

B)

Step-by-step explanation:
<em>x</em> and <em>y</em> are differentiable functions of <em>t, </em>and we are given the equation:

First, let's differentiate both sides of the equation with respect to <em>t</em>. So:
![\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bxy%5Cright%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B6%5D)
By the Product Rule and rewriting:
![\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Bx%28t%29%5Dy%2Bx%5Cfrac%7Bd%7D%7Bdt%7D%5By%28t%29%5D%3D0)
Therefore:

A)
We want to find dy/dt when <em>x</em> = 4 and dx/dt = 11.
Using our original equation, find <em>y</em> when <em>x</em> = 4:

Therefore:

Solve for dy/dt:

B)
We want to find dx/dt when <em>x</em> = 1 and dy/dt = -9.
Again, using our original equation, find <em>y</em> when <em>x</em> = 1:

Therefore:

Solve for dx/dt:
