solve the system of equations
y=x-2
x+y=10

Answers

Answer 1

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)


Related Questions

If paper clips are 7/8 of an inch long and cost $0.02 to make, how much would it cost to produce enough paper clips to make a line, end to end, that stretches 56 inches?

Answers

Answer:

$1.12

Step-by-step explanation:

When you multiply 8/7 of 56, you get 64.

This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents

Which statement is true

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

RQT is a straight angle. What are mRQS and m​TQS?

Somone help please

Answers

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180 (subtract 4 from both sides)

16x=176 (divide 16 from both sides)

x=11 (plug 11 into the angles)

9(11)+1=RQS & 7(11)+3=TQS

only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180

16x=176  

x=11  

9(11)+1=RQS & 7(11)+3=TQS

you only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary .

hope this helped!

p.s it would be cool if you gave me brainliest.

Write the equation and slope intercept form: y-4=2(x+3)

Answers

Answer:

y = 2x + 10

Step-by-step explanation:

Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.

y - 4 = 2(x + 3)

Distribute the 2 on the right side.

y - 4 = 2x + 6

Add 4 to both sides.

y = 2x + 10

Notice, now we have the equation in slope-intercept form.

I hope this helps. Happy studying.

A delivery driver earns a fixed amount for each delivery she makes, and
yesterday her average hourly wage was $16.50 an hour. If she worked 6 hours
yesterday and made 11 deliveries, how much does she earn for each delivery
made?
O A. $9.90
O B. $9.00
O C. $5.50
O D. $5.00

Answers

Answer:

9 dollars or B

Step-by-step explanation:

16.50 (hourly wage) x 6 (hours worked) = 99 dollars

$99/11 deliveries= 9 dollars per delivery.

the answer your looking for is $9.00 so B hope that helps:)

A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.

Answers

Given:

Product A requires 7 board feet of wood and 4 lbs of wicker.

Product B requires 5 board feet of wood and 5 lbs of wicker.

Product C requires 4 board feet of wood and 3 lbs of wicker.

Available wood = 3000 board feet

Available wicker = 1400 lbs

Profit margin of A = $35 per unit

Profit margin of B = $42 per unit

Profit margin of C = $20 per unit

To find:

The linear programming problem for given situation.

Solution:

Let the number of units produced of products A, B and C are x, y and z respectively.

                                Product A       Product B           Product C      Total

Board feet of wood       7                       5                       4               3000

wicker                            4                       5                        3               1400

Objective function: Maximize [tex]z=35x+42y+20z[/tex]

s.t.,

Board feet of wood  : [tex]7x+5y+4x\leq 3000[/tex]

Wicker : [tex]4x+5y+3x\leq 1400[/tex]

Number of units  cannot be negative. So, [tex]x,y,z\geq 0[/tex].

Therefore, the required LPP is

Maximize [tex]z=35x+42y+20z[/tex]

s.t.,

[tex]7x+5y+4x\leq 3000[/tex]

[tex]4x+5y+3x\leq 1400[/tex]

[tex]x,y,z\geq 0[/tex]

600 students are studying in a private
school, the average monthly fee of a
student is Rs. 1200. How much amount for
tax does the school pay to the government
as education service tax at the rate of 1% in
a year? *​

Answers

Answer:

600 ×1200=720,000

720,000×12=8,640,000

8,640,000×1%=8,640,000÷100%=86,400

86,400 per year

Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.​

Answers

Answer:

50.1

The area of the composite figure is 50.1

Trust me

6th grade ratios 50 pts

Answers

Answer:

13 milliliters

Step-by-step explanation:

it is 13

i think the answer would be 6.5 milliliters. you would divide 325 cm^3 with 50 cm^3 and you would get 6.5

In explaining why their country is an attractive place to invest, the Minister of Commerce from Turgistan has argued that the political problems have been exaggerated and that fewer people have been imprisoned for political reasons than you have been led to believe. However, Amnesty International reports that one third of the prisoners in Turgistan are political prisoners. A representative from your company visited a prison and sampled 500 prisoners in Turgistan, concluding that 90 of them are political prisoners. Test the hypothesis, at the 5% significance level, that one third of the prisoners in Turgistan are political prisoners.

Required:
a. Does this data support the Minister of Commerce or Amnesty International?
b. What other issues might be important when evaluating this data?

Answers

Answer:

a

   This data does not  support the Minister of Commerce or Amnesty

International

b

Another issue that is  important when evaluating this data is the judicial system of the Turgistan

Step-by-step explanation:

From the question we are told that

  The  sample size is  n  =  500

 The  number of political  prisoners is  k  =  90

  The  level of significance is  [tex]\alpha = 0.05[/tex]

 

        The null hypothesis  is  [tex]H_o  :  p =  \frac{1}{3} =  0.33[/tex]

        The alternative hypothesis is  [tex]H_a : p \ne  0.33[/tex]

Generally the sample proportion is mathematically represented as

      [tex]\^ p  =  \frac{k}{n}[/tex]

=>   [tex]\^ p  =  \frac{90}{500}[/tex]

=>   [tex]\^ p  =  0.18[/tex]

 Generally the test statistics is mathematically represented as

    [tex]z =  \frac{\^ p  -  p}{\sqrt{\frac{p (1- p)}{n} } }[/tex]

=>  [tex]z =  \frac{0.18  -  0.40}{\sqrt{\frac{0.33 (1- 0.33)}{500} } }[/tex]      

=>  [tex]z = -7.1429 [/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P( Z  >  -7.1429)[/tex]

From the normally distribution table

    The  probability of [tex]P( Z  >  -7.1429)  =  0[/tex]

=>     [tex]p-value  =  2 * 0[/tex]

=>     [tex]p-value  =  0[/tex]  

From the value obtained we see that the [tex]p-value  <  \alpha[/tex] hence the decision rule is

  Reject the null hypothesis

The conclusion is  

  There is no sufficient evidence to conclude that  this data does support the Minister of Commerce or Amnesty International

jj

Factor 6(×)^3+43(×)^2+79(×)+12

Answers

The answer is (6x+1)•(x+4)•(x+3)

If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?

Answers

Answer:

2 mi per hour

Step-by-step explanation:

1/3*6=

6/3= 2

2 mi per hour

Answer:

2mph

Step-by-step explanation:

If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.

[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:

[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]

The person is walking 2mph

5. Paul is x years old.
Rebecca is four times older than Paul.
Gemma is 10 years older than Paul.
the sum of their ages is 82 Years.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out each persons age.

Answers

Answer:  A) The equation will be     x + 4x + x + 10 = 82   B) Paul's age is 12, Rebecca's age is 48  and Gemma's age is 22.

Step-by-step explanation:

We will represent Paul's age by    the equation  p= x  where p is Paul

We will represent Rebecca's age by the equation  r = 4x  Where r is Rebecca

We will represent Gemma's age by the equation g = x + 10  where g is also Gemma's age.

We given that the sum of their ages is 82 years so meaning that  x + 4x + x + 10  has to equal 82.

A) The equation will be     x + 4x + x + 10 = 82  

Solve for the x equation to find Paul age because his age is x.

B)  (x) + (4x) + (x+10) = 82   combine like terms on the left side

    6x + 10 = 82

           -10    -10

   6x = 72

   x= 12  

Paul age is 12.  

r= 4(12)

r = 48

Rebecca's age is 48.

g= 12 +10

g= 22

Gemma's age is 22.  

What is the equation for calculating portion size?

Answers

Answer:

How to Easily Calculate the Serving Size in Recipes

Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...

Divide the Recipe into Servings. ...

Calculate Calories. ...

Save the Information.

Step-by-step explanation:

polynomial time............

Answers

Answer:

I'm pretty sure its b

Step-by-step explanation:

I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.

hope this helped a little :))

Find all the two-digit numbers that decrease 12 times when the last digit is crossed out.

Answers

Answer:

Step-by-step explanation:

Can someone please explain how to do this? Iʻm not sure.

Answers

This is the answer hope you get it :)
28 = -7/5y (cross multiply)
28*5 = -7y
140 = -7y (divide both sides by -7)
140/-7 = -7y/-7
-20 = y
y = -20

What happens to the median if the game with 3 hits is remqued from the data sset

Answers

I just need points lsosjsnsnenenend

D) 685
Titik koordinat yang manakah berada pada garis lurus Y=X +99
A) (2,13)
B) (4,11)
C) (3,12)
D) (5,10)​

Answers

Answer:

A

Step-by-step explanation:

What is the least common denominator for the fractions 1/6and3/4?

Answers

12.
6 x 2 = 12

4 x 3 = 12

Find the product of a^2 (4ab - 6c)

Answers

Answer:

4a^3b − 6a^2c

Step-by-step explanation:

What is the degree of the following polynomial?

Answers

Answer:

4th degree, so option 2

Step-by-step explanation:

the graph has 4 zeros (coordinates where y=0)

100204180 translate into words

Answers

Answer:

One hundred million, two hundred, 4 thousand one, hundred eighty

The word form of 100204180 is One hundred million, two hundred, 4 thousand one, hundred eighty.

Given,

100204180 .

Now,

To write the numerical from in the word form,

100204180 = One hundred million, two hundred, 4 thousand one, hundred eighty.

Thus the number is of the range of hundred million.

Know more about word form,

https://brainly.com/question/24618016

#SPJ6

2(8+9)=

qsdffffffffffffffffffffffffff

Answers

Answer:

34

Step-by-step explanation:

16+18 34 should help

Answer:

34

Step-by-step explanation:

2*8=16

9*2=18

16+18=34

7(9y + 2y – 6) – 9y =

Answers

Answer:

68y-42

Step-by-step explanation:

Answer:

68 y-42

Step-by-step explanation:

Choose all sets that contain the number - 2.22.

Natural numbers

whole numbers

integers

Rational numbers

irrational numbers

Real numbers​

Answers

Rational numbers? And integers?

Answer:

D, F

Step-by-step explanation:

rational numbers

real numbers

The line y=2x+7 meets at rthe y-axis at A.

Write down the co-ordinates of A​

Answers

Answer:

(0, 7)

Step-by-step explanation:

y = mx + c

c is the y-intercept - where the line crosses the y-axis

please answeeeerrrrrr

Answers

Hey!

I’m pretty sure the answer is D: 91 light bulbs

Hope this helps :)

The school band played at a festival on tuesday the band started playing at 3:48 pm and stopped playing at 6:38 pm how long did that band play?

Answers

Answer:

rwqrqwrq

Step-by-step explanation:

Answer:

2 hours 50 minutes

Step-by-step explanation:

subtract 3:48 from 6:38

and you get 2 hours 50 minutes.

a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle​

Answers

Answer:

medians in the triangle

Step-by-step explanation:

just took the test

Other Questions
a group of organisms of the same species linving in an area is called in quadrilateral abcd below, Solve for x: 7x-99+ 2x+1 please helpppp Statements about regression Which of the following are true about regression with one predictor variable (often called "simple regression")? A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have? Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $ I know what the answer is but I'm not sure if its right so please help.The map shows the Fertile CrescentWhich physical feature is the arrow pointing to on the map? (not putting the map) A.) desertB.) floodplainsmountainsD.) rivers What is the solution to the following system of equations?{x+y=5){x+y=1(2, 7)(2, 3)(3, 2)(7, 2) Which of the following statements are FALSE when identifying the type of slope of a line.A Positive slope increases from left to right.B Negative slope decreases from left to right.C Undefined slope is when there is no vertical change.D No or Zero slope is a horizontal line. How many terms are in the expression 76-3a + 4b + 5a? In which situation is it better to have low friction?Choose the correct answer.a skydiver uses a parachutea student walks down a hallwaya ladder leans against the walla hockey puck slides toward the goal What chemical elements are present in proteins? Java Eclipse Homework JoggerProOver a seven day period, a jogger wants to figure out the average number of miles she runs each day.Use the following information to create the necessary code. You will need to use a loop in this code.The following variables will need to be of type double:miles, totalMiles, averageShow a title on the screen for the program.Ask the user if they want to run the program.If their answer is a capital or a lowercase letter Y, do the following:Set totalMiles to 0.Do seven times (for loop){Show which day (number) you are on and ask for the number of miles for this day.Add the miles to the total}Show the total number of milesCalculate the averageShow the average mileage with decimalsUse attractive displays and good spacing.Save your completed code according to your teachers directions. For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used? What government agency was established to help newly freed slaves after the Civil War? Which of the following best explains some of the powers granted the Congress by the Articles of Confederation?OCongress could build schools, collect taxes, create a banking system, and create prisons.O Congress could declare war, make treaties, create a mail delivery system, and print money.O Congress could build libraries, oversee immigration, enforce religious practices, and require citizens to vote.OCongress could raise taxes, hire a police force, kill prisoners, and hire spies to learn about America's enemies. 4x+1=x-5 slove for x Which ancient civilization did the Etruscans mimic with their artwork?A.SumerianB.BabylonianC.AegeanD.Egyptian Describe the steps in the process of human resource planning. Explain the relationships between the steps. If There Are Years Of Little Rain In The Blue Ridge Mountains, How Does This Affect The Rest Of Georgia?A) It Means There Is Rainfall Elsewhere B) It Can Increase Snowfall C) It Can Cause Water Shortages D) It Affects Only The Blue Ridge Region