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Jobisdone [24]
3 years ago
13

The corporate team-building event will cost $8 if it has 4 attendees. How many attendees can

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0
Answer: 22 attendees can attend the corporate team-building event, with a budget of $46.

1. 8 = 4x
2. 8/4 = 4x/4
3. x = 2, each ticket would cost $2 per attendee
4. $46/$2 = 23
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does the following system of equations have a solution if so find it. 2x+y+z= 4 x-y+3z= -2 -x+y+z= -2
saul85 [17]
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).

Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system

 - y + 3z = -2
   y  + z  =  -2
-----------------
         4z = -4, so z = -1.

Next, multiply the 3rd equation by 2:  You'll get -2x + 2y + 2z = -2.

Add this result to the first equation.  The 2x terms will cancel, leaving you with the system

2y + 2z = -2
  y  +  z  = 4

This would be a good time to subst. -1 for z.  We then get:

-2y - 2 = -2.  Then y must be 0.  y = 0.

Now subst. -1 for z and 0 for y in any of the original equations.

For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.

Then a tentative solution is     (-3, -1, 0).

It's very important that you ensure that this satisfies all 3 of the originale quations.
5 0
3 years ago
12 Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the nex
Degger [83]
The answer should be 12
4 0
3 years ago
I need help please help me
Varvara68 [4.7K]

Answer:

I found x for you, right there.

8 0
2 years ago
Read 2 more answers
Solve the formula 27a + 1/3 * b = 4 for a.
Aneli [31]

Answer:

a = 4/27 - b/81

Step-by-step explanation:

27a + 1/3 * b = 4

Subtract the term with b from both sides.

27a = 4 - 1/3 *b

Divide both sides by 27.

a = 4/27 - 1/81 * b

a = 4/27 - b/81

4 0
3 years ago
Read 2 more answers
What is 2x(x+5)=4 using the quadratic formula
antoniya [11.8K]
X= \frac{-5(+/=) \sqrt{33} }{2}
Or it would be approximately: x≈ 0.37228132, -5.37228132
Hope this helped! ;P
4 0
3 years ago
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