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bezimeni [28]
3 years ago
9

In the system -12c+3d=6 and -3c +6d=-9, which expression could you use for substitution

Mathematics
1 answer:
inessss [21]3 years ago
3 0
You can not use either of them because neither of them have a variable= to the eqaution
ex.) y= 3x+25
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Solve the system of linear equations by substitution
Bond [772]

Answer:

(-4, 5)

Step-by-step explanation (work shown in attached picture):

1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

Since x = -4 and y = 5, the solution is (-4, 5).  

5 0
2 years ago
In how many ways could 12 people be
laila [671]

Step-by-step explanation:

There are total 12 People

Person 1, Person 2,3,4,5,6,7, 9, 10, 11 and 12 at a round table

12 Chairs: 1,2,3,4,5,6,7,8,9,10,11 and 12                                                                                

Let chairs 1 and 2 be next to each other

Person 1 is at chair 1 and Person 2 is at chair 2

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can sit in 10! ways

Next, Person 1 and Person 2 change their positions;

Person 1 is sitting at 2 and Person 2 is sitting at 1

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can be rearranged in 10! ways

Therefore, total number of ways in which Person 1 and Person 2 are next to each other is: 2*10! = 7257600

As we then have to find in how many ways they are not sitting next to each other; subtract 7257600 from the total number of possible arrangements.

In circular permutation,

Total number of arrangements of n people = (n-1)!

Here the number of people is 12

Arrangement = (12-1)! = 11!= 39916800

Therefore, the number of ways Person 1 and Person 2 are not next to each other = 39916800 - 7257600 = 2659200

<em>Keywords: </em><em>permutation, combination</em>

<em> Learn more about permutation and combination from brainly.com/question/12953847</em>

<em> #learnwithBrainly</em>

8 0
3 years ago
The area of a circle is approximately 379.94 square inches. What is the diameter of the circle? [Use 3.14 as an approximation fo
ycow [4]

A...area = 379.94 in^2

π=3.14

r...radius

d...diameter= 2r

A= π*r^2

r^2=A/π

r=√(A/π) = 11 in

d=2r =22 in

8 0
3 years ago
Adriana's cell phone carrier withdraws $65.75 from her bank account each month to pay her cell phone bill. She deposits a payche
kotegsom [21]

Answer:

38.0

Step-by-step explanation:

first you divide then times

6 0
2 years ago
What is x-(9x-10)+11=12x+20-2?
lions [1.4K]
Let's solve your equation step-by-step.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span><span>Simplify: (Hide steps)</span><span><span><span><span><span>x+</span>−<span>9x</span></span>+10</span>+11</span>=<span><span><span><span>12x</span>+20</span>+</span>−2</span></span><span><span><span>(<span>x+<span>−<span>9x</span></span></span>)</span>+<span>(<span>10+11</span>)</span></span>=<span><span>(<span>12x</span>)</span>+<span>(<span>20+<span>−2</span></span>)</span></span></span>(Combine Like Terms)<span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span><span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span>Step 2: Subtract 12x from both sides.<span><span><span><span>−<span>8x</span></span>+21</span>−<span>12x</span></span>=<span><span><span>12x</span>+18</span>−<span>12x</span></span></span><span><span><span>−<span>20x</span></span>+21</span>=18</span>Step 3: Subtract 21 from both sides.<span><span><span><span>−<span>20x</span></span>+21</span>−21</span>=<span>18−21</span></span><span><span>−<span>20x</span></span>=<span>−3</span></span>Step 4: Divide both sides by -20.<span><span><span>−<span>20x</span></span><span>−20</span></span>=<span><span>−3</span><span>−20</span></span></span><span>x=<span>320</span></span>Answer:<span>x=<span>3<span>20</span></span></span>
7 0
3 years ago
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