<h2>
Answer:</h2><h3>False</h3>
<h2>
Step-by-step explanation:</h2>
In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether
is the solution to this system, that is, the ordered triple
where three planes intersect.
The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the
is not the solution to the system of equations.
<em>Answer</em><em>:</em>
<h2>
<em>2</em><em>0</em><em> </em><em>years</em><em> </em><em>old</em><em>.</em></h2>
<em>Sol</em><em>ution</em><em>,</em>
<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>sister</em><em> </em><em>be</em><em> </em><em>X</em>
<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>boy</em><em> </em><em>be </em><em>2</em><em>x</em>
<em>Now</em><em>,</em>
<em>Five</em><em> </em><em>years</em><em> </em><em>ago</em><em>,</em>
<em>
</em>
<em>Again</em><em>,</em>
<em>Repla</em><em>cing</em><em> </em><em>value</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>
Answer:
Budget annual payroll = $168,480
Step-by-step explanation:
Given:
Expect sales per week = $9,000
Revenue over sales = 36% = 0.36
Find:
Budget annual payroll = ?
Computation:
Assume number of week per year = 52
⇒ Budget annual payroll = Expect sales per week × Number of week per year × Revenue over sales
⇒ Budget annual payroll = $9,000 × 52 × 0.36
⇒ Budget annual payroll = $168,480
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where
and
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:


The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>