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\(-6 = \frac{b}{18} \quad \rightarrow \quad b= \boxed{-108}\)

Break the figure into triangles and rectangles.

The triangle at the left has side lengths 4 and 3, so it has area (4 * 3)/2 = 6.

The adjacent rectangle has side lengths 12 and 4, so it has area (12)(4) = 48.

The top rectangle has side lengths 5 and 6, so it has area (5)(6) = 30.

Add to get 6 + 48 + 30 = 84.

Let x be the number of months that have passed.

115 + 3x= 145 - 2x

5x = 30

x = 6

It takes 6 months for Rupert to weigh the same as Michael.
 

edit: sniped

9/11 of the people are bored by cable news, so 2/11 of the people are not bored by cable news.

\(126 \cdot \frac{11}{2} = \boxed{693}\) people are bored by cable news.

The largest term is 25.

Since the perimeter of the square is 2*sqrt(2), the side length of one side of the square is sqrt(2)/2. The diagonal of that square is then equal to sqrt(2)/2*sqrt(2) = 1.

Let x be the radius of one circle, and let y be the radius of the other circle. 

Notice that the diagonal is equal to x*sqrt(2) + x + y*sqrt(2) + y.

. Therefore,  x + y = sqrt(2) - 1.

Since the sum of the circumference of the circle is 2 times the radius times pi, just multiply 2pi to get the final answer: 2*sqrt(2)*pi - 2*pi.

a^2 = 3/7*6 = 18/7.

The distance between the centers is 5.

Let m be the number of miles driven.

Primo: 30 + 0.25m

Ultimo: 20 + 0.8m

The Ultimo charge is three times the Primo charge:

20 + 0.8m = 3(30 + 0.25m)

20 + 0.8m = 90 + 0.75m

0.05m = 70

m = 1400 miles

Let the cost of a hot dog be x and the cost of a hamburger be y. We can write a system of equations:

5x + 2y = 10.25

2x + 5y = 12.50

Add both equations:

7x + 7y = 22.75

x + y = 22.75/7 = $3.25

Let the numbers be x and y.

one number is four less than a second number ==>    x = y - 4         . (1)

4x the first is 14 more than 5x the second ==>     4x = 5y + 14          . (2)

We will use substitution. Plug equation (1) into (2):

4(y - 4) = 5y + 14

4y - 16 = 5y + 14

-y = 30

The numbers are 30 and 26.

\((\frac{1}{3})^3 = \frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3} = \boxed{\frac{1}{27}}\)

f(f(x)) = (a(ax + b)/(cx + d) + b)/(c(ax + b)/(cx + d) + d).

Expanding and matching coefficients gives you a + d = 2.

The area of the gray region is 26*pi.

b = bill now      = 2d        d = dan's age

2d-12 = 8 (d-12)     solve for dan's age

84 = 6d

d = 14      the    b = 2d = 28 y/o

1-(1/4)=3/4

1/4*3/4=3/16 :)

oh ok lol

https://web2.0calc.com/questions/help-would-be-appreciated_12#r1

https://web2.0calc.com/questions/help-would-be-appreciated_12#r1

s = sweety now

m = mom now   =   2s + 12    

in 8 years     sweety = s+ 8

   mom =  (2s+12) + 8  =  3(s+8) - 20    solve for s

                2s + 20 = 3s + 4

                         16 y/o  = s             m = 2s+12 = 2(16)+ 12 = 44 y/o

equation for line b is y = (1/2)x+1

choice 3

The positive diffference is 14.

By using polynomial interpolation principles, I found that p(x) = x^3 - 4x^2 + 6x - 1.

x = original  population

5.0625 x = x (1 + p/100)⁴          We can remove 'x' form the equation ...included only for clarity

5.0625 = (1+ p/100)^4             take fourth root of both sides   (you could also use LOGs if you know what those are )

1.5 = 1 + p/100

.5 = p /100                     p = 50 %