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aleksklad [387]
3 years ago
10

If 2x+y=12 and x+2y=-6 what is the value of 2x+2y

Mathematics
1 answer:
Inga [223]3 years ago
4 0
2x+y=13 and x+2y=6 what is the valve of 2x+2y=4
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Which of the following is true about the system 4/3x−2/5y=2 and 3x−2y=−1?
lilavasa [31]

Equation 1 is \frac{4}{3}x -\frac{2}{5}y =2 ,

Equation 2 is [/tex] 3x-2y = -1 [/tex]

for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15

\frac{4}{3} *15x -\frac{2}{5}*15 y =2*15

20x - 6y = 30

Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

-9x+6y = 3

Add both the equations

20x -9x -6y +6y = 30+3

11x= 33

Divide both sides by 11

x=3

Plug in any one of the equation we get

3(3) -2y = -1

9 - 2y = -1

subtract 9 from both sides

-2y = -10

divide both sides by -2

y=5

So the solution is x= 3 , y= 5

Which means

a. The system is consistent and independent. TRUE

7 0
4 years ago
Latrell bought 4 bags of powdered sugar. He got a total of 5 1/2 cups of sugar. How many cups of sugar were in each bag?
Stels [109]
So all 4 bags of sugar yielded 5 and 1/2 cups..... well.. how many in each one?  well, let's split the 5 and 1/2 evenly in 4 pieces.

\bf \stackrel{mixed}{5}\frac{1}{2}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}\\\\
-------------------------------\\\\
\cfrac{\quad\frac{11}{2} \quad }{4}\implies \cfrac{\quad\frac{11}{2} \quad }{\frac{4}{1}}\implies \cfrac{11}{2}\cdot \cfrac{1}{4}\implies \cfrac{11}{8}\implies \stackrel{cups}{1\frac{3}{8}
}
5 0
3 years ago
Help
Slav-nsk [51]

Answer:

e

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The ratio of the number of Sam's CDs to the number of Alice's CD's is 7 to 8. Sam has 84 CDS.
Alex

Answer:

180 CDs

Step-by-step explanation:

So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.

7 0
3 years ago
A recent study of 26 city residents showed that the time they had lived at their present address has a mean of 10.3 years with t
svetlana [45]

Answer:

The 95% confidence interval is  9.15<  \mu < 11.45

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  26

      The mean is  \= x =  10.3

       The standard deviation is  s =  3

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E =  1.96 *  \frac{3}{\sqrt{26} }

=>   E = 1.1532

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>   10.3  -1.1532 <  \mu < 10.3  +  1.1532

=>    9.15<  \mu < 11.45

7 0
3 years ago
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