The system of equations that can be used to determine the number of small tables and the number of large tables the designer will make is:
y -x = 8
$12y - $6x = $236
<h3>Defining the variables </h3>
Let:
x = number of large tables the designer can make.
x = number of small tables the designer can make.
<h3>Simultaneous equations</h3>
Simultaneous equations are sets of equations that must be solved together in order to determine the required variables. Methods of solving simultaneous equations include:
- Elimination method
- substitution method
- Graph method
To learn more about simultaneous equations, please check: brainly.com/question/25875552
The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
Learn more about geometric sequence:
brainly.com/question/24643676
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<span>y = 300 - 5x
Standard form:
ax + by = c
</span>y = 300 - 5x
<span>5x + y = 300
Then to find the y-intercept, insert a 0 into the 'x'.
5(0) + y = 300
y = 300
The y-intercept is 300.
To find the x-intercept, insert a 0 into the 'y'.
5x + (0) = 300
5x = 300
x = 60
The x-intercept is 60.</span>
Answer:30
Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30
