For this case we must find the value of "x" that meets the following equation:

We subtract
on both sides of the equation:

We simplify:

Finally, 
Answer:

Answer:
Step-by-step explanation:
Original Ratio = New Ratio All these problems are done the same way. Try to conquer the language.
The original ratio = 24 inches wide / 12 inches tall
Shawna's new ratio = you don't know / 2 inches in height (or tall)
Call what you don't know = x
24/12 = x / 2 Cross multiply
12 * x = 24 * 2 Combine the right
12 * x = 48 Divide by 12
12x/12 = 48/12
x = 4
So the new height is 4 inches.
Answer:
The slope is
.
Step-by-step explanation:
The equation is conveniently in slope-intercept form.

m - slope
b - y-intercept
-2/3 is in m's spot, so it is the slope of the equation.

Hope this helps.
Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴ 
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴ 
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴ ![x[log(9)+log(10)]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%289%29%2Blog%2810%29%5D%3D3log%283%29)
∵ log(10) = 1 , 9 = 3²
∴ ![x[log(3)^{2}+1]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%283%29%5E%7B2%7D%2B1%5D%3D3log%283%29)
∴
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244