What is the solution of the system
3x + 2y =18
Y= -2/3x + 12

Answers

Answer 1

Answer:

3x + 2y =18


Y= -2/3x + 12

3x + 2(-2/3x+12) = 18

3x + (-4/3x+24) = 18

3x + -1 1/3x +24 =18

1 2/3x +24 = 18

1 2/3x = -6

5/3x = -6

x = -3.75

Step-by-step explanation:

Answer 2

3x = 18-2y

x= 6 - 2/3y

then substitute in the second equation

Y= -2/3x + 12

y=-2/3(6-2/3y)+12

y= 72/5

then substitute y= 72/5 in the first equation x= 6 - 2/3y

then x = -18/5


Related Questions

can u pls help me with this question ​

Answers

The answer is 2.35 ......


The diagram shows a line 13cm long.
Work out the value of a.

Answers

a is 12

you do the coordinates from the top right minus the 5 from the y axis then do the same with the x axis (minus 13) and you get the coordinates (12,5)

Please need help on this one

Answers

Answer:

45 degrees

Step-by-step explanation:

Its a 45 right triangle. You can tell because the legs are equal.

2= f/8 f= solve the equation

Answers

2= f/8
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f

What polygons have at least 4 sides?

Answers

Answer:

rectangles, squares, diamonds, rhombuses, and trapezoids

Step-by-step explanation:

Your Welcome

Answer:  quadralaterals, pentagons, hexagons, heptagons, occtagons, nonagons, decagons, hendecagon, dodecagon, and so on.

Step-by-step explanation:

Solve 14−2x=28 using the replacement set {−21, −7, 7} .
A. −21
B. −7
C. 7
D. I don't know.

Answers

Answer:

B

Step-by-step explanation:

substitute the values from the replacement set into the left side of the equation to find which values of x make it true.

x = - 21

14 - 2(- 21) = 14 + 42 = 56 ≠ 28 ← False

x = - 7

14 - 2(- 7) = 14 + 14 = 28 ← True

x = 7

14 - 2(7) = 14 - 14 = 0 ≠ 28 ← False

Thus x = - 7 is the solution

Answer: the answerd is B

explanation: i take the Test A in k12

Hi what is 50.4 ➗ 2.4 any smart people here. ​

Answers

Answer:

21

Step-by-step explanation:

Answer:

The answer is 21! (Use long division)

i need help James needs to buy shirts for his business. Company C charges customers a one-time $50 printing fee plus $10 for every shirt. Company D charges a one-time $20 printing fee plus $15 for every shirt. Which inequality can be used to find s, the minimum number of shirts that can be purchased so that the total charge at Company C is less than the total charge at Company D?
50s+10>20s+15
50s+10 20+15s

Answers

Answer: the first one

Step-by-step explanation:

The second one is missing the greater than or less than symbol

Suppose there is an urn containing 20 green balls and 30 red balls. A single trial consists of drawing a ball randomly from the urn, recording its color, and then putting it back in the urn. The experiment consists of 4 independent trials

Answers

The probability that the second ball is red is 11/25 .

IN THE EVENT OF SELECTING THE FIRST BALL

- The probability of selecting white ball is P(W) = 2/5

- Probability of selecting red ball is P(R) = 3/5

IN THE EVENT OF SELECTING THE SECOND BALL

P(R|W) = 1/2

P(R|R) = 3/5

So the probability of selecting a red ball as the second is

P(R2) = P(R|W)P(W) + P(R|R)P(R)

= (1/2)(2/5) + (2/5)(3/5)

= 1/5 + 6/25

= 11/25

What is probability?

The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

To learn more about probability from the given link:

brainly.com/question/11234923

#SPJ9

A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.

Which of the following best describes the method used by the principal?

It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.

Answers

Answer: It's an unfair method because two or more students could get the same results./ D

Step-by-step explanation: hope this helps

Answer:

B. It's a fair method because each result is an equally likely possible outcome.

Step-by-step-explanation :

According to the question , there are a total of 6 students to be selected by the principal.  

So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.

Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]

The  probability that a student will choose one number :[tex]\frac{1}{36}[/tex]

Thus, the selection of each student is given by the number

[tex]\frac{1}{36}[/tex]

So,each result is an equally likely possible outcome.

So, the principal choose a fair method.

The two segments formed as a result of a bisector will
always be_____?
1.Proportional
2. Congruent
3. Parallel
4. Perpendicular

Answers

Answer:

[tex]\huge\boxed{Proportional}[/tex]

Step-by-step explanation:

But when it is exactly at the right angles, then it'd be called as perpendicular bisector.

An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was not safe, and 13% had no opinion.

A random sample of 120 adults was asked the same question at a local county fair. 40 people felt that genetically modified food was safe, 60 felt that it was not safe, and 20 had no opinion.

At the 0.01 level of significance, is there sufficient evidence to conclude that the proportions differ from those reported in the survey?

Answers

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

H₀: The proportions does not differ from those reported in the survey.

Hₐ: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The p-value of the test is:

[tex]p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000[/tex]

The p-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

Evaluate the expression w ^2 - v + 1 for w = -2 and v = -8.

Answers

Answer:

13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

w² - v + 1

w = -2

v = -8

Step 2: Evaluate

Substitute:                   (-2)² - (-8) + 1Exponents:                  4 - (-8) + 1Multiply:                       4 + 8 + 1Add:                             12 + 1Add:                             13

Answer:

the answer is 13

Step-by-step explanation:

Of the following sets, which represents a function?

Situation A = {student's name, all the colors that the student likes}

Situation B = {student's name, names of all of the student's teachers}

Answers

Answer:

what

Step-by-step explanation:

Mitch works at Comedy Cinema's concession stand. He has
helped 16 customers so far today. Find the cost of each person's
purchase and write it in the table. Then solve the riddle by writing
the letter of each answer in its matching blank.

Answers

Answer:

Step-by-step explanation:

Students use algebra to solve equations (of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers); using techniques of making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse) to solve for the variable.

Students identify and compare the sequence of operations used to find the solution to an equation algebraically, with the sequence of operations used to solve the equation with tape diagrams. They recognize the steps as being the same.

Students solve equations for the value of the variable using inverse operations; by making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse).

A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometres per hour. How long will it take for the ambulance to pass the police car?

Answers

Answer:

I'm not sure what the answer is but I will tell you when I get it

The time taken by the ambulance to pass the police car is 2 hours and this can be determined by using the formula of speed.

Given :

A police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour.

The following steps can be used in order to determine the time taken by the ambulance to pass the police car:

Step 1 - The distance travel by the car is calculated as:

[tex]d =72\times 0.25 = 18[/tex]

Step 2 - Now, the difference in speed is calculated as:

[tex]\rm \Delta s =81-72 = 9[/tex]

Step 3 - Now, the time taken by the ambulance to pass the police car is calculated as:

[tex]\rm t = \dfrac{d}{\Delta s}[/tex]

[tex]\rm t = \dfrac{18}{9}[/tex]

t = 2 hours

For more information, refer to the link given below:

https://brainly.com/question/7359669

an electrician cuts a 27 ft piece of wire into two pieces. one piece is 23 ft longer than the other. how long's are the pieces? ​

Answers

Answer:

Step-by-step explanation:

27-23=4

4 divided by 2=2 so

1   piece is 2ft and one piece is 25 ft

23+2ft=25 ft + 2ft =27 ft

Which is the correct answer?​

Answers

Answer:

c is the correct answer

C is the correct one

HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Math sucks. Yes Ik your upset that I didn’t answer correctly-but technically I did Bc math DOES SUCK

What's the slope of (2,9) (6, -8)

Answers

Answer:

17/-4

Step-by-step explanation:

Answer:

-4.25

I hope this helps!

Mark to review later...

9. David is shopping for work supplies; he purchases 3 binders, 5 pens, and 2 reams of paper. The binders cost $3.50 each; the pens cost $1.15 each; and the reams of paper cost $4.00 each. The sales tax for his purchase is 7.75%. Which of the following is closest to the total cost of David’s purchase?

Answers

Sale tax of 3 binders is closest to the david total purchase.

As per the given question

Binders=3Pen=5

Reams=2

Binder cost $3.50 each

Pen cost $1.15 each

Paper cost $4.00 each

Tax =7.75%

Let's solve it

3 binder =3×$3.50=10.5

5 pen = 5×$1.15=5.75

2 reams =2×4.00=8

Total cost before tax = 10.5+5.75+8=24.25

Total sale tax =24.25×7.75%=1.879375

Total purchase after sale tax =24.25+1.879375=26.129375

As we calculate 3 binder=10.5

This is the closest to it.

To know more sale tax this click

https://brainly.com/question/9437038

#SPJ9

Describe the correlation if r = -0.45.

Answers

negative, weak, linear, and if there are outliers, include them

Least to greatest 0.3 -0.03 -3 3.0 0.003 30 0.03

Answers

Answer:

-3, -0.03, 0.003, 0.03, 3.0, 30

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

Hello I need help please

Suppose that two motorboats leave the same point at the same time. If one travels north at 15 miles per hour and the other travels east at 20 miles per hour, how fast will the distance between them be changing after 2 hours? Draw a diagram to model the situation.

Answers

Answer:

I believe it would be 70 miles between them.

PLEASE HELP!!!!!!!!!

Answers

Answer:

i think it is x< 5 but not 100% sure

See screenshot Below.

Answers

Answer:

78 Kg

Step-by-step explanation:

Because he gained at a constant rate first find that rate

in 1.5 months gained 93.6 - 85.8 = 7.8  so

whhen he started his diet he was at 85.8 -7.8 = 78 kilograms

You need to make 12 servings of fried fish. Each serving takes 7.5 ounces of flour. How many ounces of flour do you need

Answers

Answer:

you need 90 ounces

Step-by-step explanation:

7.5×12 = 90

2. Which set below is the domain of
{(2, -3), (-1,0), (0, 4), (-1, 5), (4, -2)}?
F-3, 0, 4, 5, -2}
H {2, -1,4}
G-3, 4, 5, -2}
D {2, -1, 0, 4}

Answers

Answer:

D

Step-by-step explanation:

the domain is the interval or set of all valid x values.

the range is then the interval or set of all valid y values.

so, the x values are

2, -1, 0, -1, 4

and the set eliminates any multiple appearances of a value.

so, we get

{2, -1, 0, 4}

Opal plots point D at (Negative 3 and one-half, one-half). Which graph shows the location of point D? On a coordinate plane, point D is 3 .5 units to the right and 0.5 units up. On a coordinate plane, point D is 3.5 units to the left and 0.5 units up. On a coordinate plane, point D is 0.5 units to the right and 3.5 units down. On a coordinate plane, point D is 0.5 units to the left and 3.5 units up.

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

please give me brainliest :D

find 3 solutions to the equation y = 1/2x - 1

Answers

The 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to find 3 solutions to the equation?

The equation is given as

y = 1/2x - 1

Next, we set x = 0, 2 and 4

So, we have

When x = 0

y = 1/2 x 0 - 1 = -1

When x = 2

y = 1/2 x 2 - 1 = 0

When x = 4

y = 1/2 x 4 - 1 = 1

Hence, the 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)

Read more about equations at

https://brainly.com/question/18831322

#SPJ1

Other Questions
Please help me djhrhtjskakjdh Valeri ran 2 miles in 20 minutes if she continue to run at the same rate how far will she have ran after 50 minutes Define the following terms.BoycottNonimportation agreementMilitiaMinutemanPetitionRepeal C. Talk about this problem with friends who live in a much healthier area.Which scenario is the best example of public health promotion?A. A community hospital opens a burn center to address cases of severe burn trauma.B. Community organizers put together an emergency action plan in case of a local epidemic.C. The local community center starts a free fitness program for all county residents. Which statement best explains the reason theMagna Carta was significant?Select one:1)It stated that the laws applied to the leaders ofgovernment and cited the liberties held by the people.2)It created a legislature to provide guidance to themonarch and check his power.3)It declared that leaders of government would avoid waragainst all landowners through negotiation.4)It declared the king had the power to address all issuesthat arose. Help me pls and explain Plsssssss helpppp meeeee Fill in the blank with the correct response.Twenty-seven is 25% of _____. According the Twelve Tables, what was the punishment for treason in Rome? Why would a government establish that punishment for treason? carley beat the school record for the 400 meter race by 1.3 seconds, if she ran the race in 55.7 seconds, what is the record what is solvent and solute What error did Wanda make?None. Wandas work is correct.Wanda converted the percent to a decimal incorrectly. It should be 0.073.Wanda converted the percent to a decimal incorrectly. It should be 0.73.Wanda has the wrong label. It should be hours, not dollars. The Great Pyramid was built by the _____.IncasRomansEgyptiansPersians How many moles are in 8.32 x 1024 molecules of CO2. 7 apples cost $5. How many apples can i buy with $8? Calculate the molar mass of B(NO3)3 ? One winter day, the outside temperature, y, was never below 1. The inside of a car was always warmer than the temperature outside by at least 4. Which graph of a system of inequalities represents this scenario? On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything below and to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything above and to the left of the line is shaded. This is the man. His house was robbed last night.(into one sentence joining with whose) Howie wants to get a $250 loan with a simple interest rate of 4%.Which expression can be used to find the TOTAL amount that must be repaid on this loan?1PointsA 250 + 4%B 250 x 0.04C (.04 x 250) + 250 HELPPPPPPPPPP 7TH GRADE