Question

1. Write an equivalent expression for 27x+18

Answer 1

Answer:

1. 27x+18  =  x+x+x+x+x......+x  + 18

You sum "x" 27 times.

2. $(36,\infty)$

3. $285/2 = 142.4$

4. 2*(12  1/3 )*(8  1/2)  + 2*(12  1/3 )*(6  3/4)+2*(6  3/4 )*(8  1/2)

Step-by-step explanation:

1. Remember that multiplication is a simplification of the sum, so, when you say for example, 4*3, that actually means 3+3+3+3, similarly, when you say, 27x, that means x+x+x...+x  27 times.

2. From the image you can see that  

The 36 is NOT taken, and then you go all the way to infinity, therefore we say $(36,\infty)$.  Suppose that 36 was taken, then we would say $[36,\infty)$.

3. From the attached photo

you can see that we can compute first the area of the rectangle with length = 15 and height = 7, and also note that at the top a triangle with base 15 and height 5 is formed, so the area of the whole figure would be the area of the rectangle at the bottom plus the area of the triangle on top. That would be 7*15+(15*5)/2 = 285/2

4. Remember that in general the formula for surface area would be

                                              $2lw +2lh+2wh$

Where   l = length   ,  w = wide,   h = height.  In this case  l = 12  1/3   , w = 8  1/2   and h =  6  3/4