Select the correct answer. Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C. (3, 2) D. (-3, -2) E. (3, -2)

Answers

Answer 1

Answer:

The coordinates that satisfy the equations will be: (3, 2)

Hence, option C is correct.

Step-by-step explanation:

Given the equations

[tex]x\:-2y\:=-1;\:2x\:+\:3y=12[/tex]

solving the equations to find the solution values (coordinates)

[tex]\begin{bmatrix}x-2y=-1\\ 2x+3y=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x-2y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2x-4y=-2[/tex]

[tex]\begin{bmatrix}2x-4y=-2\\ 2x+3y=12\end{bmatrix}[/tex]

[tex]2x+3y=12[/tex]

[tex]-[/tex]

[tex]\underline{2x-4y=-2}[/tex]

[tex]7y=14[/tex]

so

[tex]\begin{bmatrix}2x-4y=-2\\ 7y=14\end{bmatrix}[/tex]

solve for y

[tex]7y=14[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x-4y=-2\mathrm{\:plug\:in\:}y=2[/tex]

[tex]2x-4\cdot \:2=-2[/tex]

[tex]2x=6[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

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

[tex]x=3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=2[/tex]

Therefore, the coordinates that satisfy the equations will be: (3, 2)

Hence, option C is correct.

Answer 2

Answer:

3,2

Step-by-step explanation:


Related Questions

Simplify\:p^3\div \:p^{-2}

Answers

Answer:

what is that

Step-by-step explanation:

Answer:

That isn't even a thing

Step-by-step explanation:

Need some serious help ASAP (will give brainliest)

Answers

I could be wrong (and I apologize if I am), but I believe these are the answers to your questions.

1.) Angle 4
2.) Angle 6
3.) Angle 10
4.) 30 degrees
5.) 48 degrees
6.) 55 degrees
7.) 68 degrees
8.) 148 degrees
9.) 102 degrees
10.) 38 degrees

If I turn out to be correct, then I am happy I was able to help you.

Find the slope of the line that passes through (1,3) and (8,9)​

Answers

Answer:

6/7

Step-by-step explanation:

The difference of twice a number and 9.

Answers

Answer:

2(9-x)

Step-by-step explanation:

Answer:

2n - 9

Step-by-step explanation:

Twice a number is referring to 2 times n or just 2n. To find the difference you would subtract 2n and 9, 2n - 9

PLEASE HURRY!
------------------------

Answers

Answer:

we cant see the question

Can’t see the question.? Your just showing us which one to choose.

................................

Answers

Answer:

i cant see the attachment for some reason

Step-by-step explanation:

What does it sayyy.......

10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal​

Answers

15lbs is a better deal

Maria determined that these expressions are equivalent expressions using the values of x = 3 and x = 7. Which statements are true? Check all that apply.

Answers

Answer:

Photo :)

Step-by-step explanation:

Got it right :))

Answer:

The expressions have equivalent values for any value of x

The expressions have equivalent values when x = 6.

When x=10, both expressions have a value of 33

Step-by-step explanation:

HELP ASAP!! PLEASE!!Given these two triangles, determine if they are similar and
justify your conclusion using the within ratios?

Answers

Answer:

Step-by-step explanation:

BA:AC : ED:DF

          6:10 : 3:5

equals    6/10:3/5=2:1

These ratios are similar, the just double the size

The last one is $30 which one ?

Answers

Answer:

it may be 30

Step-by-step explanation:

becasue 6x2 is 12 half hour $3 and kayak 15 all that is 30

Answer:

it's 30

Step-by-step explanation:

15 + 6 + 6 + 3

15+15

15 was the down payment, plus six dollars for the hours he was there and then three dollars for the half hour.

The distance from point (2,1) to point (8,-7) is

Answers

distance is 10 units

BRAINLIEST + FRIEND IF U ANSWER MY QUESTION!!!

Answers

Answer:

hi :) it's the 2nd one

can anyone help me please​

Answers

Answer:

No it's not prism

Step-by-step explanation:

Because it has curved side. A prism has flat side not curved side

Identify the slope of each of the following equations.
(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?

Answers

Answer:

fg nyg jhb jhg ewvjh

Step-by-step explanation: wedf hcx sdf hbvc

★PLSSSSS HELPPPPPPPPP★

Answers

3) 6.50 87-22 = 65 65/10 = 6.5
10-0 = 10
The answer is 6.50
Hope this helps

3х+5y=14
6x-4y=9
Estimate the solution to the following system of equations by graphing

Answers

Answer:

(2.405,1.357)

Step-by-step explanation:

(2.405,1.357)

1. Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box. Please help!!!!

Answers

Answer:

This is an exponential function of the form [tex]y=a(b^x)[/tex]We will use the followingy for the number of bacteria at a given timex for the timea for the starting number of bacteria, which is 700b for the base of the exponentso lets find b, we need the following:r, which will be our rate, which is 4.3% or 0.043, so[tex]b=1+r\\b=1+0.043\\b=1.043[/tex] With this info, let's substitute, and get the equation as the answer: [tex]y=700(1.043^x)[/tex] Put that into desmos, (I attached a screenshot for you)

Answer:

This is an exponential function of the form  

We will use the following

y for the number of bacteria at a given time

x for the time

a for the starting number of bacteria, which is 700

b for the base of the exponent

so lets find b, we need the following:

r, which will be our rate, which is 4.3% or 0.043, so

With this info, let's substitute, and get the equation as the answer:  

Put that into decimals, (I attached a screenshot for you)

Step-by-step explanation:

What is the smallest perfect square that can be written as the sum of three different prime numbers?

Answers

Answer:

19 is the smallest prime number that is the sum of three different prime number.

Step-by-step explanation:

To find this:

   2 is the only even prime number and other prime numbers are odd

   adding any two prime number always gives even number.

   so the least numbers that are required to do is 3,5 and 7; their sum is 15

   so any prine number less than 15 is not possible for this question

   so, the next prime number is 17

   17 minus any other prime no less 17 are13,11,7.5.3,2 give the number that   4,6,10,12,14,15 which are not sum of any two different prime numbers

   

so the answer is 19=11+5+3.

The smallest perfect square that can be written as the sum of 3 different prime numbers is; 16.

Prime numbers are numbers that can be divided by only themselves and 1.

Now, we want to find the smallest perfect square that can be written as the sum of three prime numbers and so let us list the perfect squares from 1 to 30.

       They are; 4, 9, 16, 25.

Now, for 4; sum of 3 different prime numbers cannot work here because it will give us 1 + 2 + 3 = 5.

For 9; sum of 3 different prime numbers cannot work here because it will give us 2 + 3 + 5 = 10.

For 16; sum of 3 different prime numbers will work here because it will give us 2 + 3 + 11 = 16

Thus, the smallest perfect square that can be written as the sum of 3 different prime numbers is 16.

Read more at; https://brainly.in/question/17539113

A swim coach randomly selects 3 swimmers from a team of 8 to swim in a heat.
What is the probability that she will choose the three strongest swimmers?

Answers

Answer:

37.5, i think

Step-by-step explanation:

if £555 are exchanged for€566.10 how much would be received for £60

Answers

1046.1
Answer to you’re question no problem

Stacy goes to the county fair with her friends . The total cost of ride tickets is given by the equation c=3.5t , where c is the total cost of tickets and t is the number of tickets . If Stacy brought 15 tickets she would spend how much money ?

Answers

Answer:

$52.5

Step-by-step explanation:

Step one:

given data

we are given that the linear function for the cost is  c=3.5t

c is the cost and

t is the number of tickets.

We are told that t=15, to find c, let us put the value of t in the linear function for the cost

[tex]c=3.5(15)\\\\c=52.5[/tex]

This shows that 15 tickets will cost $52.5

Each big square below represents one whole

Answers

Answer:

= 61%

Step-by-step explanation:

Shaded is 1.22 out of 200

Shaded is .61 out of 100

TOTAL IS 61%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Complete the work to find the dimensions of the rectangle. w(2w + 4) = 240 2w2 + 4w = 240 2w2 + 4w – 240 = 0 2(w + 12)(w – 10) = 0 What is the width of the rectangle? What is the length of the rectangle?

Answers

Answer:

Length = 24 and width = 10

Step-by-step explanation:

Initially we start with;

w(2w + 4) = 240

Since we are dealing with a rectangle, it means that w is the width while (2w + 4) is the length.

Further more we see that;

2(w + 12)(w – 10) = 0

Thus means that;

w + 12 = 0 or w - 10 = 0

Thus,w = -12 or w = 10

Width can't be negative and so we pick w = 10

Since length = (2w + 4), then;

Length = 2(10) + 4

Length = 20 + 4 = 24

Answer:

the width is 10 cm and the length is 24cm

Step-by-step explanation:

i just did it

Two angles whose measures have a sum of 90° are called complimentary angles. Let x and y represent the measures of complimentary angles. Use this information and the equation given in the problem to find the measure of each angle. x = 5y

Answers

9514 1404 393

Answer:

x = 75°y = 15°

Step-by-step explanation:

The correct description of the angles is complementary. "Complimentary" is something else.

  x + y = 90 . . . relationship of complementary angles

  x = 5y . . . . . given

  5y +y = 90 . . . . substitute for x

  y = 15 . . . . . divide by 6

  x = 75 . . . . . use x=5y

Angle x is 75°; angle y is 15°.

Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?
Question 5 options:

A.The line for one equation is steeper than the other.

B.The line will move from crossing at the y-axis at 5 down to crossing the y-axis at -3

C.The y-intercepts are the same in both equations.

D.The line for each equation will be the same.
Needed A.S.A.P thank you very much!!

Answers

Answer:

Option B is correct

Step-by-step explanation:

The equation of a straight line is given as;

y = mx + b

where m is the slope and b is y-intercept

Let’s evaluate the options one after the other;

A. This is wrong as they both have same slope of 2

C. The y-intercepts are not the same

One is 5, the other is -3

D. This is wrong, the line cannot be the same

Option B is correct

The y-intercept of both varies

While 1 is already appreciated, the other is coming back

Which situation represents a proportional relationship?*
A The cost of purchasing a gym membership is $25 per month plus a $100 joining fee
B The cost ordering Uber Eats is $3.50 per meal with a delivery charge of $5
C The cost of cell phone plan is $65 per month
D The cost of shipping a package is $1.25 per pound plus a shipping fee of $2

Answers

Answer:

c

Step-by-step explanation:

because it is just i one time fee evey month

A restaurant offers delivery for their pizzas.The total cost is a delivery fee added to the price of the pizzas.One customer pays $25 to have 2 pizzas delivered.Another customer pays $58 for 5 pizzas.How many pizzas are delivered to a customer who pays $80?

Answers

Answer:

x-the cost of one pizza

y-the cost of delivery

2x+y=25

5x+y=58 ->3x=33->X=11->y=3

so,the number of delivered pizzas to the person

num=(80-3)/11=7

Step-by-step explanation:

A charity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places.

Answers

Answer:

The probability that they are all men is 0.00533

Step-by-step explanation:

Here, we want to find the probability that all winners selected are men

Total number of ticket sold is 35 + 21 = 56

What this mean is that out of the 56, we are selecting 5 and out of the 21, we are selecting 5 also

So we use a combination formula;

21 C 5/ 56 C 5

= 20,349/3,819,816

The probability is; 0.00532721995

The probability that they are all men is 0.00533

Alex says that there is no numbers between 1/3 and 1/4 . Why might he think that and what would you tell him? Is there a number that falls between these?

Answers

Answer:

Why might he think that and what would you tell him?

He thought perhaps that numbers were formed by rational numbers of the form [tex]\frac{1}{x}[/tex], where [tex]x\in \mathbb{N}[/tex]. I would tell him that there are rational numbers [tex]\frac{y}{z}[/tex], such that [tex]\frac{1}{x}\le \frac{y}{z} \le \frac{1}{x+1}[/tex], where [tex]x[/tex], [tex]y[/tex], [tex]z \in \mathbb{N}[/tex].

Is there a number that falls between these?

[tex]\frac{7}{24}[/tex] is a rational number between [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

Why might he think that and what would you tell him?

He thought perhaps that numbers were formed by rational numbers of the form [tex]\frac{1}{x}[/tex], where [tex]x\in \mathbb{N}[/tex]. I would tell him that there are rational numbers [tex]\frac{y}{z}[/tex], such that [tex]\frac{1}{x}\le \frac{y}{z} \le \frac{1}{x+1}[/tex], where [tex]x[/tex], [tex]y[/tex], [tex]z \in \mathbb{N}[/tex].

Is there a number that falls between these?

Indeed, the average number of [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex], for instance. That is:

[tex]\frac{y}{z} = \frac{\frac{1}{3}+\frac{1}{4} }{2}[/tex]

[tex]\frac{y}{z} = \frac{\frac{7}{12} }{2}[/tex]

[tex]\frac{y}{z} = \frac{7}{24}[/tex]

[tex]\frac{7}{24}[/tex] is a rational number between [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex].

7. I sell cookies for $2 and muffins for $5. Yesterday, I made $35. I sold a total of 13 items.
How many of each did I sell?

Answers

You sold 10 cookies and 3 muffins.
You sold 10 cookies and 3 muffins
Other Questions
The literals in the following statement are Blank 1 and Blank 2.a = 3.14*r*r/2; What is the value of (5.3 times 10.4 A 7.2 L balloon at 2 atm of pressure has its pressure reduced to 0.5 atm. What is the new size of the balloon, in liters? WILL MARK BRAINLIEST!!!!!__________ duties include paying national, _________, and local taxes which can include specific taxes such as __________, sales, and property. A. Legal, state, and government B. Judicial, government, and financial C. Educational, income, and local D. Financial, state, and income Calculate the slope of a line that passes through the points (6, -12) and (15, -3).A.0B.1C.53D.9 how to solve [tex] \frac{a(a - 5)}{6} - 1 = 0[/tex] 6x-3-11-8x=2 please show work The French decided to help the Americans after the Battle of what are the coordinates of a point in quadrant ||| which is 8 units away from point p Answer quick Asexual reproduction is.. Swaziland has an absolute monarchy True False 1. A baseball team sells snacks at their games to raise money. At their last game, theymade as much money as they made at their first game.Did they make more money at their first or last game? Explain how you know. Lala Company accounts for noncurrent assets using the cost model. On October 1, 2019, Lala classified a noncurrent asset held for sale. At that date, the assets carrying amount was P1,600,000, its fair value was estimated at P1,100,000 and the cost to sell at P100,000. On December 15, 2019, the asset was sold for net proceeds of P925,000. What amount should be included as an impairment loss in Lalas statement of comprehensive income for the year ended December 31 ,2019? Fill in the blank with one of the following words: bacteria, fungi, parasites, viruses.Tapeworms and lice are examples of blank that can cause diseases in humans Sometimes acid that regurgitates from the stomach can irritate the phrenic nerve, causing it to fire spontaneously. What effect do you think this would have? A circular table top has a radius of 3 feet. A decorative trim is placed alongthe outside edge of the table. How long is the trim?6.28 feet18.84 feet12.56 feet25.12 feet If LaTeX: P\left(6,-2\right),\:Q\left(-2,\:8\right),\:R\left(-4,\:3\right),\:P ( 6 , 2 ) , Q ( 2 , 8 ) , R ( 4 , 3 ) ,and LaTeX: S\left(-9,\:y\right)\:S ( 9 , y )find the value of LaTeX: yy so that LaTeX: PQ\bot RS. 5)A grocery store sells oranges by the crate. An empty crate weighs 1,000 grams. Each orange weighs at least 300grams. Which inequality best describes the total weight in grams, w, of the crate of oranges in terms of, g, thenumber of oranges in the crate?A) w 300g + 1,000B) w 2 300g - 1,000C) w S 300g - 1,000D) W S 300g + 1,000 Frank bought 4.310^4 yards of carpet to install in the new house. His wife said "We needed 5,000 yards! You didn't buy enough!" Who is correct, Frank or his wife? Demonstrate with math to show your answer. 3. Colocamos las lapices dentro de una _______5. Usamos tiza o marcadores para escribir en ________please help!!