<h2>Answer:</h2><h3>For each of these, we use PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction, IN THAT ORDER).</h3>

#11:

$2(6k - 1) = -32\\\\12k - 2 = -32\\\\12k = -30\\\\k = -2.5$

#12:

$15 = -3(x - 1)\\\\15 = -3x + 3\\\\12 = -3x\\\\-4 = x$

#13:

$7x + 6x - 3x - 45 = 15x\\\\10x - 45 = 15x\\\\-45 = 5x\\\\-9 = x$

#14:

$3x + 5 = \frac{1}{2}(4x + 28)\\\\3x + 5 = 2x + 14\\\\x + 5 = 14\\\\x = 11$

#15:

$10 - (x + 5) = 2x + 14\\\\10 - x - 5 = 2x + 14\\\\5 - x = 2x + 14\\\\5 - 3x = 14\\\\-3x = 9\\\\x = -3$

#16:

$\frac{2}{5}(10x - 15) = -14\\\\4x - 6 = -14\\\\4x = -8\\\\x = -2$

*Note: You can check my work by pluging in each result I got for x back into the equation and solve. If both numbers on each side of the equal sign match, that means I'm right.

3 0

3 years ago

A cone with a height of 15 yards has a volume of<br> 475.17 yd³. Find the diameter of the cone.

xenn [34]

Answer:

Step-by-step explanation:

h = 15 yards

Volume = 475.17 cubic yards

Diameter = 5.5*2 = 11.0 = 11 yards

7 0

2 years ago

This is the sum of the lengths of all the sides of a polygon expresses in linear units