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Ivenika [448]
3 years ago
8

Solve the system of equations y = x + 7 and 2x + y = 10 using a graphical method. SOMEONE PLEASE HELP MEEEEEE!!!!!

Mathematics
2 answers:
sammy [17]3 years ago
8 0

The answer to this question is B, (1, 8).

Hope this helped!

yKpoI14uk [10]3 years ago
5 0

Answer:

B). (1,8)

Step-by-step explanation:

You can build graphical using both equation

  1. y=x+7
  2. y=-2x+10

1. When y=0, so x=-7 and when x=0, so y=7

2. When y=0, so x=5 and when x=0, so y=10  

So in the image graphic 1 is red and graphic 2 is blue and you can see they cross at (1,8)

To check

1=2 so, x+7=-2x+10 \\ 3x=3 \\ x=1

Replacing:

1. y=1+7=8 and 2. y= -2*1 +10=8

So (1,8)

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In a study of the accuracy of fast food​ drive-through orders, one restaurant had orders that were not accurate among orders obs
Lesechka [4]

Complete Question

In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were not accurate among 367 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

Answer:

The decision rule  is

  Fail to reject the null hypothesis

The conclusion is  

  There is sufficient evidence to show that the rate of inaccurate orders is equal to​ 10%

Step-by-step explanation:

Generally from the question we are told that

   The sample size is  n =  367

    The number of orders that were not accurate is  k = 32

    The population proportion for rate of inaccurate orders is  p = 0.10

The null hypothesis is  H_o :  p = 0.10

The alternative hypothesis is  H_a :  p \ne 0.10

Generally the sample proportion is mathematically represented as  

         \^ p = \frac{k}{n}

=>      \^ p = \frac{32}{367}

=>      \^ p = 0.0872

Generally the test statistics is mathematically represented as

         z= \frac{ \^ p - p }{ \sqrt{ \frac{ p(1 - p)}{ n} } }

=>      z= \frac{ 0.0872  - 0.10 }{ \sqrt{ \frac{ 0.10 (1 - 0.10 )}{367} } }  

=>      z= -0.8174

From the z table  the area under the normal curve to the left corresponding to  -0.8174 is  

         P(z <  -0.8173 )  = 0.20688

Generally the p-value is mathematically represented as

         p- value =  2 *  0.20688

=>      p- value =  0.4138

From the value obtained we see that  p-value >  \alpha hence

The decision rule  is

  Fail to reject the null hypothesis

The conclusion is  

  There is sufficient evidence to show that the rate of inaccurate orders is equal to​ 10%

 

4 0
3 years ago
Which of the following terms describes the 5 in the expression
Snowcat [4.5K]
A Coefficient is the answer
7 0
3 years ago
Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
alexdok [17]
Answer:  Write the expression as:

" 70 \frac{32}{100} +
                         2\frac{1}{10} * 2\frac{7}{10 − 18a " ; 
______________________________________________________
or;  write as:
______________________________________________________
           " 70.32  + (2.1) * (2.7)  − 18a " ; 
______________________________________________________

To simplify:
______________________________________________________

  Using "PEDMAS" (the "order of operations") ; 

the "multiplication" comes first; 

So:  →  "(2.1) * (2.7) =  5.67 " .

And rewrite:
______________________________________________________
 " 70.32  + 5.67 − 18a " .

Now:  " 70.32 + 5.67 = 75.99 " ; 

So, we can the final simplified expression as:
______________________________________________________
   " 75.99  −  18a " ;  

or; write as:  " 75\frac{99}{100}  −  18a " .
______________________________________________________
7 0
3 years ago
I need help please please I appreciate it! ):
telo118 [61]

Answer:

!. Scale factor = 5

2. Scale factor = \frac{1}{5}

Step-by-step explanation:

scale = \frac{length in drawing}{actual length}

1. To increase the numbers, let the scale factor be \frac{5}{1} = 5. So that;

0.05 x 5 = 0.25

\frac{1}{2} x 5 = 0.5 x 5 = 2.50

7 x 5 = 35.00

13 x 5 = 65.00

25 x 5 = 125.00

102 x 5 = 510.00

2. To decrease the numbers, let the scale factor be \frac{1}{5}. So that;

0.05 x \frac{1}{5} = 0.01

\frac{1}{2} x \frac{1}{5} = 0.5 x \frac{1}{5} = 0.10

7 x \frac{1}{5} = 1.40

13 x \frac{1}{5} = 2.60

25 x \frac{1}{5} = 5.00

102 x \frac{1}{5} = 20.40

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3 years ago
A packet contains 24 pens. Henry and Alice share them in the ratio 3:5. How many does Alice receive
vova2212 [387]
Alice receives 9 out of the 24 pens.
7 0
3 years ago
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