Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4

Use The Elimination Method To Solve The System Of Equations.3x + 2y = 162x - 2y = 4

Answers

Answer 1

Answer:

D (4, 2)

Step-by-step explanation:

adding equation 1 and 2,

5x = 20

x = 4

Hence y = 2

Hence its D

Answer 2

Answer:

b (5,3)

Step-by-step explanation:


Related Questions

Drag each condition to the correct location on the table.
Match each condition to the number of triangles that can be constructed to fit the condition.
condition A: one side
measuring 4 inches,
another side measuring
8 inches, and a third
side measuring 10 inches
condition B: one angle
measuring 60°, another
angle measuring 40°, and
a third angle measuring 90°
condition C: one side
measuring 4 inches,
another side measuring
8 inches, and the angle
between them measuring 70°
condition D: one side
measuring 5 inches,
another side measuring
7 inches, and a third
side measuring 12 inches
condition E: one angle
measuring 30°, another
angle measuring 80°,
and the length of the
included side measuring
8 inches
condition F: one angle
measuring 40°, another
angle measuring 80°, and
a third angle measuring 60° I don't know how to do a pic, but it is no triangle one triangle and many triangle

Answers

Answer:

Condition A= 320 inches

Condition B= 190 Degrees F

Condition C= 2240 inches

Condition D= 350 inches

Condition E= 110 Degrees F 8 inches

Condition F= 180 Degrees F

Step-by-step explanation:

4 inches

8 inches

70 inches

60 D

40 D

90 D

4 inches

8 inches

70 D

5 inches

7 inches

12 inches

30 D

80 D

8 inches

40 D

80 D

60 D

Answer:

Condition A= 320 inches

Condition B= 190 Degrees F

Condition C= 2240 inches

Condition D= 350 inches

Condition E= 110 Degrees F 8 inches

Condition F= 180 Degrees F

Step-by-step explanation:

Can someone help me solve this problem please
Thankyouuuu

Answers

Answer:

in picture

Step-by-step explanation:

Brainliest please

Answer:

this is the best way for the question

c) What should be subtracted from 5m - 3n to get 2m + 5n?
What she hechosomoce 2-59​

Answers

Answer:

3m-8n

Step-by-step explanation:

Set up an equation:

(5m-3n)-(2m+5n) = ?

Solve:

   5m-3n

-  2m+5n

   3m-8n

Hope this helps!

On a Venn diagram, shade the region:
1. AnB
2. (BnC)nA

Answers

Answer:

hope it will be helpful to you

Step-by-step explanation:

anb shade and anbnc shade

HELP PLS ITS ALGEBRA 1

Answers

Answer:

[tex] - \frac{2}{6} [/tex]

Step-by-step explanation:

Use distributive property to simplify both sides.

[tex] \frac{1}{6} (1 - 6x) = - \frac{1}{3} ( 6x + \frac{1}{2} )[/tex]

Use the Golden Rule of Algebra: (What we do to one side, we must do to the other).

[tex] \frac{1}{6 } - x = - 2x - \frac{1}{6} [/tex]

[tex] \frac{1}{6} = - x - \frac{1}{6} [/tex]

[tex] \frac{2}{6 } = - x[/tex]

[tex]x = - \frac{2}{6} [/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1}{6}[/tex](1-6x) = - [tex]\frac{1}{3}[/tex](6x+[tex]\frac{1}{2}[/tex])

distribute in the fractions

[tex]\frac{1}{6}[/tex] - 1x = -2x - [tex]\frac{1}{6}[/tex]

subtract [tex]\frac{1}{6}[/tex]  from both sides

-[tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]-1x = -2x -[tex]\frac{1}{6}[/tex]-[tex]\frac{1}{6}[/tex]

-1x = -2x -[tex]\frac{2}{6}[/tex]

-x = -2x - [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] = -2x + x

[tex]\frac{1}{3}[/tex] = -x

- [tex]\frac{1}{3}[/tex] = x

x = - [tex]\frac{1}{3}[/tex]

see?  :/  

Explain what the construction does and list the steps to creating the construction. Be as detailed as possible :D

Answers

Step-by-step explanation:

This construction bisects the pqr angle.

This is done by placing a compass on the pqr angle and marking construction lines at the points c and a.

Then at where the construction lines at points c and a meet the lines qr and qp draw 2 more from that placement.

Then draw a line running through angle pqr and where the construction lines meet at point b.

Hope this helps and good luck!

please help me it’s urgent

Answers

Answer:

600g of Flour

Step-by-step explanation:

According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.

Answer:

600 g of flour.

Step-by-step explanation:

If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.

If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.

Therefore, she will need 600 g of flour.

My teacher keeps saying it’s wrong pls help, it’s question number 5

Which is an irrational number?

Answers

9514 1404 393

Answer:

  A √2 is an irrational number

Step-by-step explanation:

A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)

B: √4 = 2 (rational)

C: ∛8 = 2 (rational)

D: √16 = 4 (rational)

A paintball park charges an entrance fee, and fee per game played. On saturday, Jesse plays 19 games and pays a total of 62.50 dollars. Paula plays 10 games and pays a total of 40 dollars. Find the entrance fee and then fee per games played

Answers

Answer:

Entrance fee=15, fee per games played=2.50

Step-by-step explanation:

x=fee per games played, y=entrance fee

19x+y=62.50 equation 1

10x+y=40 equation 2

y=40-10x isolate y in equation 2

19x+40-10x=62.50 substitute y value from equation 2 into equation 1

9x=22.50

x=2.50

solve for y by substituting x value in either equation

10x+y=40

10(2.50)+y=40

25+y=40

y=15

Check answer:

19x+y=62.50

19(2.50)+15=62.50

47.50+15=62.50

62.50=62.50

Can someone help me with this math homework please!

Answers

Answer:

1/2

8

Step-by-step explanation:

When its talking about the result or output, look at the range, and then follow the line(s) back to the number(s) in the domain. Do the opposite when it's talking about the function of a certain number, e.g. f(4).


If A and B are independent events, then it must be true that P(ATB) = P(A).

Answers

Yes it has to be true

Hope this helps :)

well, let's take a look at two independent events

A)  the potato is hot

B) it's raining

now, the potato could be hot whether is raining or not, A is totally independent of B, so what's the probability of "the potato being hot, GIVEN that it's raining" P(A | B)  is the same as if it wasn't raining, or P(A), the fact that B occurred, doesn't affect A at all, the potato is hot regardless, rain or not.  So P(A | B) = P(A).

After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100)
is a proper fraction in its lowest form. Find the difference of its numerator and denominator.

Answers

Answer:  no

Step-by-step explanationn.  .......................................................w:eorkeok,feoferkeorkoe

What is the probality of rolling a 6-sided die on a getting a 1 or a prime number?

Answers

Answer:

1/12

Step-by-step explanation:

Chances of getting a 1 are 1/6 and chances of getting a prime number excluding 1 is 3/6. 3/6 x 1/6= 3/36 or 1/12 chance.

What is the answer to this question

Answers

your answer would be C
if triangle efg is equal to hjk then it will still be equal the opposite way. The symmetric property tells us that both sides of the equal sign are equal no matter what side they are on.

pls answer w explanation!

What is the product of the complex numbers 2 + 6i and 2 - 6i? (Note: i= √-1)

Answers

Answer:

10

Step-by-step explanation:

Apply difference of squares.

[tex](x + y)(x - y) = {x}^{2} - {y}^{2} [/tex]

[tex](2 + 6i)(2 - 6i) = {2}^{2} - {6i}^{2} [/tex]

[tex] = 4 + 6[/tex]

[tex] = 10[/tex]

I would appreciate the help on all of these :)

Answers

Answer:

Pythagoras theorem states that c²=a²+b²

14²=12²+x²

14²-12²=x²

196-144=x²

52=x²

√52=√x²

7.2111025509279785=x

rounded up to the nearest hundredth=7.21

In a school of 50 pupils,15 study English only and 20 study French only. 5 students do not study any of the two subjects. (i)illustrate the information on a Venn diagram

Answers

Answer:

48

Step-by-step explanation:

2-6$83737463363+77#7#+#++;#+#73737363644646464672727282939

Answer:

10

Explanation:

n(U)= 50

n०(E)= 15

n०(F)= 20

number of (E U F) whole complement= 5

NOW,

n(U)= 15+20+5+n(E intersection F)

or, 50= 40+n(E intersection F)

.. n( E intersection F) = 10

Evaluate the expression 42 +6.52 – 33 = 32,

Answers

The answer is 223

P.S I did the math by using PEMDAS

Having some difficulty with this test, can you please help?

Answers

Answer:

y = 3/2x +1

Step-by-step explanation:

The y int = is 1 by observation

To calculate the slope it is rise over run

3/2 as for every 3 up the line moves 2 across

Please help ASAP! D,:

What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.


Answers:


14 units × 4 units

16 units × 8 units

24 units × 14 units

64 units × 4 units

Answers

16 units x 8 units. That’s the answer

What is the equation of the line that passes through the given point and is perpendicular to the given line?

Point: (1,1)
Line: y=15x+45

Answers

Answer:

y= -1/15x + 16/15

Step-by-step explanation:

When two lines are perpendicular to each other that means their slopes are the negative reciprocals of each other.

So that means if a line has has a slope of 6, a line perpendicular to that line will have a slope of -1/6.

(a reciprocal is when the fraction is flipped over)

In this case, the negative reciprocal of 15 would be -1/15. So the slope of the line that is perpendicular would be -1/15.

The equation we would have so far for that line would be: y=-1/15x+b

Now we have to find the 'b' or the y intercept, which we can get by plugging in the point that was given (1,1), which is on that line.

Which gives us 1=-1/15(1)+b.

1=-1/15+b

1+1/15=b

Then you solve for b and get b= 16/15.

The equation of the line that is perpendicular to the given line is y= -1/15x + 16/15.

The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is

y = 15x - 14.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let the equation of a line is y = mx + c.

The line is perpendicular to y = 15x + 45.

y = 15x + 45 is in the form of y = mx + c

This means,

Slope = 15

m = 15

The line passes through the point (1, 1) = (x, y).

This means,

y = mx + c

1 = 15 x 1 + c

1 = 15 + c

c = 1 - 15

c = -14

The equation of the line is y = 15x - 14.

Thus,

The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is

y = 15x - 14.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.

(a) Make a list of all the different possible outcomes when two number cubes are rolled.

(b) What fraction of the possible outcomes is favorable?

(c) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:

Answers

Answer:

34

Step-by-step explanation:

You should not expect more than 34 times to be favorable, because favorable outcomes are about 28% of outcomes, and 28% of 100 is 28, which is less than 34.

6/21 outcomes will be favorable.

Here is a list of all possible :

1 - 1

1 - 2

1 - 3

1 - 4

1 - 5

1 - 6

2 - 2

2 - 3

2 - 4

2 - 5

2 - 6

3 - 3

3 - 4

3 - 5

3 - 6

4 - 4

4 - 5

4 - 6

5 - 5

5 - 6outcomes29 out of every 100 outcomes will likely

6 - 6

One or two of the underlined outcomes have a three. The total number of outcomes is 21, and six of them include 3's. Therefore, when we multiply 6/21 by .286, we get 28.6%.  be favorable.

Hope this helps! : )

Edna earns $680 per week and receives a raise of $95. What is her percentage increase in pay?

Answers

Answer:

13.97%

Step-by-step explanation:

Find her percent increase in pay by dividing 95 by 680:

95/680

= 0.1397

Multiply this by 100:

= 13.97

So, her percent increase in pay is approximately 13.97%

The 20th term of an arithmetic progression 1,5,9,13......​

Answers

Answer:

a₂₀ = 77

Step-by-step explanation:

There is a common difference between consecutive terms , that is

5 - 1 = 9 - 5 = 13 - 9 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 4 , then

a₂₀ = 1 + (19 × 4) = 1 + 76 = 77

Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).

Try your best to show complete work & explain your strategy.

Answers

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

5 times 6 plus 1 times 8 plus 9 times 54 times 8 times 24 times 98 divided by 200 times 800 divided by 653 times 5782470

Answers

211512945555694/653

Decimal: 323909564403.819336

Someone help me please!!!

Answers

yes the answer to this is 1/5

Use the equation of the water level of the river represented by the equation y = −4x + 170, where x represents the number of years and y represents the total feet. What points are located on the line? Check all that apply. (170, 0) (0, 170) (12, 126) (50, 30) (5, 150) (60, –70)

Answers

Answer:

(0, 170) (5, 150) (60, -170)

Step-by-step explanation:

Plug each x value into the equation. The point is located on the line if the y values match.

Ex. -4 (170) + 170 = -510 this point is not on the line

-4 (0) + 170 = 170 this point is on the line because it is a "true" statement

Answer:

(0, 170) (5, 150) (60, -170)

Step-by-step explanation:

Find the area in mi^2

Answers

Answer:

27 mi^2

Step-by-step explanation:

The area of a triangle is always 1/2 (base times height) so it is 1/2 (9×6) = 27

Answer this question plz

Answers

Answer:

i) 9xy

ii) 75

Step-by-step explanation:

i) add those factor

ii) get that factor

hope it helps

please mark as barinliest

Thankyou.. :)

Other Questions
Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?55 The sum of 7/3 and four times a number is equal to 2/3 subtracted from five times the number? A stone is thrown with an initial speed of 12 m/s at an angle of 30o above the horizontal from the top edge of a cliff. If it takes the stone 5.6 s to reach the bottom, how far does the stone travel horizontally 0-OLanguage Arts 11 A- TIVA 20-21 CPIS21 / The Gothic Americans5. What shocking plot event sets the stage for the novel's climax?Mistress Hibbins explains that Dimmesdale does an excellent job hiding his sin.The sea captain tells Hester that Chillingworth will also board the ship to Bristol.Dimmesdale delivers his final sermon before his departure with Hester and Pearl.The Indians circling Hester believe she is a person of great importance. Write the expression as an exponent:5^8 x 256^15 x 36 Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment. Viruses are called obligatory parasites. Why Find the value of "x" of given parallelogram If 89 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 48 grams Which of the following are integer solutions to the inequality below?2 All body organs are vital to lifetruefalse What was one significant outcome of the Thirty Years' War?O A. European rulers agreed to respect one another's right to choosetheir kingdoms' religion.B. Religious conflicts between Catholics and Protestants increasinglyevolved into bloody wars.O C. European monarchs agreed to establish constitutions that wouldlimit their authority.O D. The Catholic Church agreed to greatly reduce its influence overEuropean political leaders. Ch. 4 of Sociology in Modules challenges us to think of our personal identity and factors that influence how we are socialized, as well as how we socially engage. How would you describe yourself in terms of three prominent identity characteristics Find the greatest common factor of 15 xy and -18 xyz . A ----------------has the least flexibility and is best suited for mass production. It has an arrangement of machines that process identical products in a predefined order, with automatic movement of materials between machines. According to Rousseau, a nation should be governed byA.separate branches of governmentB.Natural economic lawsC.the General Will or a majority of its people.D.its ruling class. The sources of economic growth are _______. A. work hours growth and labor productivity growth B. democracy and labor productivity growth C. job experience and low inflation D. work hours growth and a stable government ASAAPPP NEED HELP IF ANYONE IS AROUNDi. Using carbon skeletal notation, write the dehydration-condensation reaction that occurs between ethanol and butanoic acid.ii. What is the name of this ester? Why are peripherals added to computers?to limit their applicationsto change their purposeto expand their capabilitiesto specify their functions Pls help meFreedomBY LANGSTON HUGHESFreedom will not comeToday, this yearNor everThrough compromise and fear.I have as much rightAs the other fellow hasTo standOn my two feetAnd own the land.I tire so of hearing people say,Let things take their course.Tomorrow is another day.I do not need my freedom when Im dead.I cannot live on tomorrows bread.FreedomIs a strong seedPlantedIn a great need.I live here, too.I want my freedomJust as you.questions: 1. Describe the speaker of the poem? Is the speaker involved in the action or outside of the action?2. Does the poem represent the speakers feelings at a particular moment in time or does it seem the speaker has had a chance to reflect on the significance of events?3. Identify and briefly explain the tension/conflict in the poem.4. How is the poem organized? Where do the shifts come?5. What is the most important line or sentence in the poem? Why?6. Do you notice any poetic devices used in the poem? In what lines do they appear? (Metaphor, simile, apostrophe, personification, etc.)