Multiply by 1.129 for the new total and subtract 33000 for the increase
$4257
$37257
<span>a number x is multiplied by 9 : 9x
</span><span>a number x is multiplied by 9, the result is 35 : 9x = 35
solve for x
9x = 35
x = 35/9
x = 3 8/9 (3 and 8/9)</span>
7 981 943 000 Millimeters
Find the intercepts for both planes.
Plane 1, <em>x</em> + <em>y</em> + 2<em>z</em> = 2:



Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:



Both planes share the same <em>x</em>- and <em>y</em>-intercepts, but the second plane's <em>z</em>-intercept is higher, so Plane 2 acts as the roof of the bounded region.
Meanwhile, in the (<em>x</em>, <em>y</em>)-plane where <em>z</em> = 0, we see the bounded region projects down to the triangle in the first quadrant with legs <em>x</em> = 0, <em>y</em> = 0, and <em>x</em> + <em>y</em> = 2, or <em>y</em> = 2 - <em>x</em>.
So the volume of the region is


