(1,000,000 centimeters) x (1 skewer/30centimeters) =
1,000,000 /30 skewers = 33,333 whole skewers,
plus one piece of one more skewer
cut into 3 equal pieces with the other
two pieces discarded.
Another way to look at it: <em>33,334 skewers</em>,
with 2/3 of one of them not included.
The system of equation that could have led to the equation 9x = 27 is
7x - 2y = 15
x + y = 6
The correct option is the third option
7x - 2y = 15
x + y = 6
<h3>Solving systems of equations</h3>
From the question, we are to determine the system that could have led to 9x = 27
1.
9x + 2y = 21
-9x - 2y = 21
Subtracting, we get
9x + 2y = 21
-9x - 2y = 21
-------------------
18x + 4y = 0
2.
10x - y = 15
x + y = - 12
Subtracting, we get
10x - y = 15
x + y = - 12
---------------------
9x -2y = 27
3.
7x - 2y = 15
x + y = 6
Here, multiply the second equation by 2
2 × [x + y = 6]
2x + 2y = 12
Now, add to the first equation
7x - 2y = 15
2x + 2y = 12
------------------
9x = 27
4.
4x + 3y = 24
-5x - 3y = 3
Subtracting, we get
4x + 3y = 24
-5x - 3y = 3
---------------------
9x + 6y = 21
Hence, the system of equation that could have led to the equation 9x = 27 is
7x - 2y = 15
x + y = 6
The correct option is the third option
7x - 2y = 15
x + y = 6
Learn more on Systems of equations here: brainly.com/question/12691830
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<span>Input x 0 1 2 Output y -3 1 5
Your second option here works perfectly for it. If you plug in each input it equals the outputs in order. </span>
Answer:
Step-by-step explanation:
If it's a geometric sequence, then
Check:
Answer:
Infinitely many.
Step-by-step explanation:
Combine like terms as shown below
x + <em>12</em> + 2x = <em>20</em> + 3x - <em>8</em>
Side one
x + 2x = 3x
Side two
<em>20 - 8 = 12</em>
Set the equation up again
3x + <em>12 </em>= 3x + <em>12 </em>
The equation is the same on both sides which means that the equation cancels itself out.
3x - 3x = 0 and 12 - 12 = 0
0 = 0 so there is infinitely many solutions because both sides equal the same thing.
