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topjm [15]
3 years ago
13

What is the solution to this system of linear equations?

Mathematics
2 answers:
Alex3 years ago
4 0

Answer:

x =  - 1

y = 3

Step-by-step explanation:

y - 4x = 7(eqn \: 1)

2y + 4x = 2(eqn \: 2)

solving \: by \: eliminating \: one \: variable

(y - 4x = 7)

+ (2y + 4x = 2)

3y = 9

y = 3

y - 4x = 7

3 - 4x = 7

- 4x = 7 - 3

\frac{ - 4x}{ - 4}  =  \frac{4}{ - 4}

x =  - 1

Zolol [24]3 years ago
3 0

Answer:

3

Step-by-step explanation:

j

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Last month, at a tax free sale, joy bought 4 new blouses that cost $15.95 each and 2 new belts that cost $8.95 each. How much di
Olenka [21]

Answer:

$81.70

Step-by-step explanation:

15.95 x 4 = 63.80

8.95 x 2 = 17.90

63.80 + 17.90

8 0
3 years ago
In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax
Nikolay [14]

Answer:

a

 

   The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

b

   t = 2.51

c

   p-value  =  0.01207

d

 There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

    The  sample  size is  n  =  745

     The  number that said it is morally wrong is  k  =  589

       The  level of significance is  \alpha =  0.01

        The population proportion is p  =  0.75

Generally the sample  proportion is mathematically represented as

        \r p  =  \frac{k}{n}

=>     \r p  =  \frac{589}{745}

=>     \r p  =  0.79

 The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

The  standard error is mathematically represented as

     SE =  \sqrt{\frac{p(1-p)}{n} }

=>    SE =  \sqrt{\frac{0.75(1-0.75)}{745} }

=>    SE  =0.0159

Generally the test statistics is mathematically represented as

      t =  \frac{\r p - p }{SE}

=>   t =  \frac{0.79 - 0.75 }{0.0159}

=>    t = 2.51

Generally the p-value is  mathematically represented as

        p-value  =  2 * P(Z >  2.51)

From the the z-table  

            P(Z >  2.51) = 0.0060366

=>   p-value  =  2 * 0.0060366

=>   p-value  =  0.01207

From the calculation  p-value >\alpha

    Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

     

7 0
3 years ago
if a clock strikes the appropriate number of time on each hour. how many times will it strikes in one day?
Keith_Richards [23]

Strike is the way that the noise made on the hour it’s described. Each hour corresponds to a specific strike, 1 has 1 strike, 2 have 2 strikes, 3 have 3 strikes, and so on.

The solution would be like this for this specific problem:

1 + 2 +3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78 strikes for a 12 hours

78 * 2 = 156 (since a day has 24 hours)

So it will strike 156 times per day. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0
3 years ago
Ms. Claudio and Ms. yee took their students to the winter festival. There were a total of 68 students in attendance. In group A
svetlana [45]

Answer: 407.25

Step-by-step explanation:

23 x 6.75 =155.25     25 x 4.50 = 112.50       20 x 6.75+4.50=139.50    112.50+155.25+139.50= 407.25  HOPE IT HELPS!!! : )

7 0
3 years ago
Find the total fare with 15% tip: 1 passenger, 512 miles.
Darina [25.2K]

Answer:

37.92

Step-by-step explanation:

just add

6 0
3 years ago
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