use the substitution method to solve the system of equations.
x+y=11
-x=-y-9

Answers

Answer 1
Answer:

Like you said, we need to use substitution to solve for y.

[tex]x + y = 11\\-1(-x = -y - 9)\\\\x + y = 11\\x = y + 9\\\\y + 9 + y = 11\\\\2y + 9 = 11\\\\2y = 20\\\\y = 10[/tex]

Now that we've solved for y, we can plug in the number we got into one of the original equations. (You can choose either equation, but I will use the first one.)

[tex]x + 10 = 11\\\\x = 1[/tex]

Now we have the solution of this system.

[tex](1, 10)[/tex]


Related Questions

Better Business Bureau conducted survey of 3,765 randomly selected residents of Laradise and found that 60% of them feel the businesses in Laradise, are run by compliant individuals. Find the best point estimate of the proportion of all residents of Laradise who believe businesses are run by compliant individuals.

a. In the prompt above what population parameter are you being asked about?

i. Proportion
ii. Mean
iii. Standard Deviation/Variance
iv. None of the above

b. What is the best point estimate?
c. What is the critical value (zα/2) or (tα/2) that corresponds to a confidence level of 99%?
d. Find the margin of error E, show the formula, fill in the pieces.
e. Construct the 99% confidence interval.

Answers

Answer:

a

 i. Proportion

b

 Best point estimate is   [tex]\^ p = 0.60[/tex]

c

   [tex]z_{\frac{\alpha }{2} } =  2.58 [/tex]

d

   [tex]E =  0.0206 [/tex]

e

   [tex] 0.5794 <  p < 0.6206 [/tex]    

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 3765

   The  proportion that feel the businesses in Laradise, are run by compliant individuals  is  [tex]\^ p = 0.60[/tex]

Considering question a

   The correct option is  Proportion  because in the prompt we are told to obtain the fraction of the total sample size that has a particular attribute (which their opinion of business in Laradise) and this is what a proportion represents

Considering question b

  The best point estimate is   [tex]\^ p = 0.60[/tex] because this proportion best defines the fraction of the sample size who feel the businesses in Laradise, are run by compliant individuals

Considering question c

  Generally given that the sample size is large enough n > 30 , it then means that the distribution is approximately normal  so  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

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

   [tex]z_{\frac{\alpha }{2} } =  2.58 [/tex]

Considering question d

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>  [tex]E =  2.58 * \sqrt{\frac{ 0.60  (1- 0.60 )}{ 3765} } [/tex]

=>  [tex]E =  0.0206 [/tex]      

Considering question e

Generally 99% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>   [tex] 0.60  -0.0206 <  p < 0.60  + 0.0206[/tex]    

=>   [tex] 0.5794 <  p < 0.6206 [/tex]    

Usa mmm para mostrar cada número.
Comienza con
este número.
Encierra en un
Escribe un
círculo es mayor
número para
que o es menor que comparar.
1.
es mayor que
es menor que
37
2.
es mayor que
es menor que
61

Answers

1. es menor que
2. es menor que

777×900
Can u help me​

Answers

1st Answer:

The answer to this would be 699,300!

Have a great day good luck! Plugging it into a calculator was easy^^

Answer:

699,300

Step-by-step explanation:

777x900=699,300

what is (8+7 + 3.3) times ( 1/2) ^2

Answers

Answer & Step-by-step explanation: 4.58

PEMDAS:

Parenthesis first! (8 + 7 + 3.3) = 18.3

Exponents second! [tex]1/2^{2}[/tex] = 1/4 = 0.25

Multiply third and solve! 18.3 x 0.25 = 4.575

Round if needed! 4.575 = 4.58 = 4.6 = 5

What is the quotient of the problem 0.492 : 0.04

Answers

do you mean what is 0.492 divided by 0.04? because it is 12.3

what fraction of 45 m is 180 cm​

Answers

Answer:

1/25

Step-by-step explanation:

45 meters is equal to 4500cm

4500 divide by 180 is 25

So, 180 is equal to one over 25

(One twenty-fifth)

Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?

Answers

Answer:

6 miles

Step-by-step explanation:

2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.

2:12

1:6

The answer is 6 hours

2r + 2 = 10
r=?

Hurry Please!!​

Answers

Answer:

2r+2=10

Step-by-step explanation:

R is 4

u would do 2*4

that equals 8

next add 2+8

you get 10

Solve the
equation:
18 + x = 1

Answers

Answer:

x=-17

Step-by-step explanation:

Subtract 18 on both sides

18-18+x=1-18

x=-17

Hope this helps :D

Please mark brainliest

Answer:

x = -17

Step-by-step explanation:

Subtract 18 from both sides to get X by itself.

18 + x = 1

x = 1 - 18

x = -17


Name the corresponding angle or side. a, b, c, or D

Answers

Answer:

I think it is B. LM

Step-by-step explanation:

i think this because the shape just looks like it is rotated.

Charlie saves $29.85 each month for 6 months. In the seventh month, he only saves $10.20. How much money will Charlie have saved after 7 months

Answers

Answer:

charli from tiktok???? RENAGADEEEEE

jk $40.05 is the answer

Write the following as a base-10 numeral in standard form.
4 x 105 + 2 x 102 + 7 =

Answers

Answer:

631

Step-by-step explanation:

4x105=420

102*102=204

Rewrite the equation:

420+204+7= 631


Please help me I’m failing!!!

Answers

-9 is the answer hope you pass
-9 Is The Answer Hope This Helps

A map of a rectangular park has a length of 4 inches and a width of 6 inches. Ir uses a scale of 1 inch for every 10 miles. What is the area of the park? Is tthe answer 2,400 miles?

Answers

Answer:

yes, your answer would be 2400

I don't understand this question, help me, someone, please

Answers

Answer:

Arranging the terms from least to greatest:

[tex]\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}[/tex]

Now actual terms arranged from least to greatest will be:

[tex]3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}[/tex]

Step-by-step explanation:

We need to arrange the weights [tex]3\frac{1}{5} ,3\frac{39}{1000},3\frac{99}{100},3\frac{52}{10}[/tex] from least to greatest.

To arrange them in least to greatest we need to convert them into improper fractions and then make their denominators same.

[tex]3\frac{1}{5}=\frac{16}{5} \\3\frac{39}{1000}=\frac{3039}{1000} \\3\frac{99}{100}=\frac{399}{100} \\3\frac{52}{10}=\frac{82}{10}[/tex]

Now, Making their denominator same by taking LCM of 5,1000,100 and 10

The LCM is 1000

Now the fractions will become:

[tex]\frac{16}{5}=\frac{16*200}{5*200}=\frac{3200}{1000}[/tex]

[tex]\frac{399}{100}=\frac{399*10}{100*10}=\frac{3990}{1000}[/tex]

[tex]\frac{82}{10}=\frac{82*100}{10*100}=\frac{8200}{1000}[/tex]

Now we have fractions: [tex]\frac{3200}{1000},\frac{3990}{1000},\frac{8200}{1000},\frac{3039}{1000}[/tex]

Now the smallest term will be one having smallest numerator

Arranging the terms from least to greatest:

[tex]\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}[/tex]

Now actual terms arranged from least to greatest will be:

[tex]3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}[/tex]

Find the range and interquartile range for 47, 49, 48, 45, 50, and 49.

Answers

Answer:

really hope this helps or answers your questions!!

Step-by-step explanation:

Mean 49

Mode 45

Median 50

range is 5

Explanation:

Put the numbers in order

45,45,47,50, 51,52,53,

The number that happens MOST the MODE is 45

The number in the MIDDLE, the MEDIAN is 50

The MEAN is the total of the 7 numbers shared out evenly.

Total 343

343 Divided by 7 =49

The graph shows the number of miles Peter's car traveled and the gallons of gas used.
MILEAGE OF PETER'S CAR
160
140
120
100
Miles Traveled
80
60
40
20
8
9 10
1 2 3 4 5 6 7
Gallons of Gas
Which equation can be used to find the distance in miles, d, that the car can travel on g gallons of gas?

Answers

Answer:

I believe it’s d=16g

Step-by-step explanation: Because the graph is on 160 but we are converting it to a bigger number or smaller so it’s 16 I think

Solve x2 - 16 = 59. What does x
equal?

Answers

Answer:

37.5

Step-by-step explanation:

Answer:  x = 75/2 = 37.5

Step by Step:

Solve for x:

2 x - 16 = 59

Hint: | Isolate terms with x to the left hand side.

Add 16 to both sides:

2 x + (16 - 16) = 16 + 59

Hint: | Look for the difference of two identical terms.

16 - 16 = 0:

2 x = 59 + 16

Hint: | Evaluate 59 + 16.

59 + 16 = 75:

2 x = 75

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 75 by 2:

(2 x)/2 = 75/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

Answer:  x = 75/2 = 37.5

How many numbers have an absolute of 5/4

Answers

A4

Step-by-step explanation:

1/2

1/3

1/5

1/4

The numbers which have an absolute of 5/4 are; -5/4 and 5/4.

According to the question;

We are required to determine how many numbers have an absolute of 5/4.

The absolute value of any number, a or -a is always positive a.

In essence, only numbers (-5/4) and 5/4 have an absolute of 5/4.

Read more;

https://brainly.com/question/12928519

(help!)


On a game show, Luke got to spin the wheel twice.
The first time, he got 900 points.
The second time, he got -200 points.
Assuming he started with no points, what was his total score?
A) 700
B) -700
C) 1100
D) - 1100

Answers

Answer:

a)700 is the answer that was easy

Find sin A.

Hypotenuse= 45
Opposite= 27
Adjacent= 36

A. sin A=4/5
B. sin A=5/4
C. sin A=4/3
D. sin A=3/5

Answers

Answer:

c

Step-by-step explanation:

Answer:

A 4/5

Step-by-step explanation:

Cosine of an angle is the adjacent side over the hypotenuse. Sin A = 36/45 = 4/5.

Hope this Helps :)

A turntable has a diameter of 40 cm what its circumference

Answers

Answer:

Circumference of turntable is 125.6 cm

Step-by-step explanation:

Diameter of turntable = 40 cm

We need to find circumference of turntable.

The formula used to calculate circumference is: [tex]Circumference=2\pi r[/tex]

where r is radius

We know that: [tex]radius=\frac{diameter}{2}[/tex]

Finding radius first:

[tex]radius=\frac{diameter}{2}\\radius=\frac{40}{2}\\radius = 20 \ cm[/tex]

So, radius r=20 cm

Now finding circumference

[tex]Circumference=2\pi r\\Circumference=2\times3.14\times20\\Circumference=125.6 \ cm[/tex]

So, circumference of turntable is 125.6 cm

-9x=36
What is the value of x?

Answers

Answer:

x = 16 because if you multiply that and then divide

Answer: x=-4

Step-by-step explanation:

-9x=36

Divide both sides by -9 to get x alone

x=-4

Vertical angles are:
Always congruent
Sometimes congruent
Never congruent?

Answers

Answer:

always

Step-by-step explanation:

bc it’s right lolz

The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of $29.81 per hour and a standard deviation of $9.31 per hour. What is the probability that the hourly pay of a randomly selected flight attendant:


a. Is between the mean and $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)




b. Is more than $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)




c. Is less than $20.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)

Answers

Answer:

a

[tex]P(29.81 < X < 35) = 0.21141[/tex]

b

[tex]P( X > 35) =0.28859[/tex]

c

 [tex]P( X < 20) =0.14601[/tex]    

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = \$29.81[/tex]

    The standard deviation is [tex]\sigma = \$9.31[/tex]

Generally the probability that the hourly pay of a randomly selected flight attendant  Is between the mean and $35.00 per hour is mathematically represented as

      [tex]P(29.81 < X < 35) = P( \frac{ 29.81 - 29.81 }{9.31} < \frac{x - \mu }{\sigma} < \frac{ 35 - 29.81 }{9.31} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P(29.81 < X < 35) = P( 0 < Z < 0.5575 )[/tex]

=>   [tex]P(29.81 < X < 35) = P( Z < 0.5575) - P( Z < 0)[/tex]

From the z table  the area under the normal curve to the left corresponding to  0 and  0.5575   is  

   [tex]P( Z < 0) =0.5[/tex]

and

   [tex]P( Z < 0.5575) = 0.71141[/tex]

=>   [tex]P(29.81 < X < 35) = 0.71141 - 0.5[/tex]

=>   [tex]P(29.81 < X < 35) = 0.21141[/tex]

Generally the probability that the hourly pay of a randomly selected flight attendant  Is more than $35.00 per hour is mathematically represented as

   [tex]P(X > 35) = P( \frac{x - \mu }{\sigma} > \frac{ 35 - 29.81 }{9.31} )[/tex]

   [tex]P( X > 35) = P( Z > 0.5575 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to 0.5575   is  

    [tex]P( Z > 0.5575 ) = 0.28859[/tex]

=>  [tex]P( X > 35) =0.28859[/tex]

Generally the probability that the hourly pay of a randomly selected flight attendant Is less than $20.00 per hour is mathematically represented as

   [tex]P(X <20 ) = P( \frac{x - \mu }{\sigma} < \frac{20 - 29.81 }{9.31} )[/tex]

   [tex]P( X < 20) = P( Z < -1.0537 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to -1.0537  is  

    [tex]P( Z < -1.0537 ) = 0.14601[/tex]

=>  [tex]P( X < 20) =0.14601[/tex]    

0.77 times 0.112 divided by 78 times 90

Answers

Answer:

0.0995076923

Step-by-step explanation:

Brainliest if you provide a valid answer and explanation!

Q: Find the area!

Answers

Answer:

113.04 in^2

Step-by-step explanation:

A=pi*r^2

A=3.14*6^2

A=3.14*36

A=113.04

Answer

The area of the circle is [tex]36\pi[/tex] inches squared.

Explanation

The formula for the area of a circle is [tex]\pi r^{2}[/tex]. You are already given the radius (which is 6) so all you have to do is substitute the 6 for 'r' and solve the equation.

After substituting 6 for 'r' you get [tex]\pi 6^{2}[/tex].

According to PEMDAS, you have to solve 6 to the power of 2 first. 6 to the power of 2 is 36.

So the area of the circle is [tex]36\pi[/tex] inches squared.

If you would like to completely solve for the area, you can multiply 36 by 3.14. 36 times 3.14 equals 113.04. Note that this is not the exact answer, because [tex]\pi[/tex] is a never ending number, meaning if you multiplied both numbers, you product would also be a never ending number.

So the area of the circle is [tex]36\pi[/tex] or about [tex]113.04[/tex] inches squared.

Whatcha ones are true and which are false

Answers

When you get the answer dm me in DMs

what's the question?

Write the decimal as a percent.
5.12


Answers

Answer:

512%

Step-by-step explanation:

5.12 × 100 = 512%,  just multiply the decimal value by 100.

Answer:

512%

Step-by-step explanation:

take away the decimal point for it

Pls help will mark brainliest

Answers

Answer:

f(5) = 9

Step-by-step explanation:

f(x) = 4x - 11

f(5)

f(5) = 4(5) - 11       Substitute 5 for x

f(5) = 20 - 11         Solve down

f(5) = 9

Hope this helps!

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