What is the solution to the system of
equations shown below?
S23
2x + 2y = 12
6x - 2y = 20

Answers

Answer 1
2x+2y=12.........&
6x-2y=20.........$

&+$: 8x=32
x=4

2*4+2y=12
y=4
Answer 2

Answer:

The solution, as an ordered pair, is (4, 2).

Step-by-step explanation:

2x + 2y = 12

6x - 2y = 20     Adding the 2 equations will eliminate y:

8x + 2y + (-2y) = 32

8x = 32

x = 4.

Substitute x = 4 in the first equation:

2(4) + 2y = 12

2y = 12 - 8

2y = 4

y = 2.


Related Questions

Please help me!!!

Find the measure of angle x in the figure below:

Answers

Answer:

Step-by-step explanation:

48° is the answer to the question

Stuart throws a biased coin 10 times.
He gets 7 Tails.
Maxine throws the same coin 50 times.
She gets 30 Tails.
Prasha is going to throw the coin once.
(i) Whose results will give the better estimate for the probability that she will get Tails,
Stuart's or Maxine's?
You must give a reason for your answer.

Answers

Answer:

Below.

Step-by-step explanation:

1. Prasha's result is better as she tossed the coin the most times.

The result which gives a better estimate of obtaining tail is that which provides a greater probability, hence, Stuart's result is better.

Recall :

Probability = required outcome / Total possible outcomes

Stuart's throw:

Number of tails = 7Number of throws = 10

P(Tail) = 7/10 = 0.7

Maxine's throw :

Number of throws = 50Number of tails = 30

P(Tail) = 30 / 50 = 0.6

The result with higher probability gives the better estimate of obtaining tail.

Therefore, Stuart's result will be a better estimate.

Learn more : https://brainly.com/question/18153040

A bag with 8 marbles is shown below. (2 marbles are yellow, 3 are red, and 3 are blue.) A marble is chosen from the bag at random. What is the
probability that it is yellow or red?
Write your answer as a fraction or a whole number.

Answers

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Hi there!

We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)

Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is [tex]\frac{5}{8}[/tex].

I hope this helps!

Answer:

P(Red or Yellow) = 5/8

Step-by-step explanation:

2 (yellow) + 3 (red) = 5

Hence, the probability is 5/8

Feel free to mark it as brainliest :D

A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?​

Answers

Answer:

The distance between the two towns is of 1000 km.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

3 cm represents a distance of 400 km.

What is the distance represented by 7.5 cm?

3 cm - 400 km

7.5 cm - x km

Applying cross multiplication:

[tex]3x = 400*7.5[/tex]

[tex]x = \frac{400*7.5}{3}[/tex]

[tex]x = 1000[/tex]

The distance between the two towns is of 1000 km.

A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.

Answers

Answer:

                                     

Step-by-step explanation:

Which expression is equivalent to 4(2x + 5) ? Replace the x with a 2

Answers

Answer:

8x+20

36

Step-by-step explanation:

4(2x) + 4(5)

= 8x +20

Hence,

Substituting 2 into 8x+20:

8(2)+20

= 36

Feel free to mark it as brainliest :D

8x+20, i'm guessing. i think i'm right too

How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?

Answers

Answer:

15 cubes

Step-by-step explanation:

The volume of a rectangular prism is given as :

V = Lenght * width * height

V = 3/2 * 5/2 * 1/2

V = 15 / 8 cm³

Volume of a cube = a³

Where, a = side length of cube

a = 1/2 cm

V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8

Volume of pyramid / volume of cube

15 / 8 ÷ 1 / 8

15 / 8 * 8 / 1

= 15

Which pair of functions are inverses of each other?
Wanting to make sure of answers in this pretest

Answers

Answer:

The only pair of functions that are inverses of each other are the ones for option D.

Step-by-step explanation:

Two functions, f(x) and g(x), are inverses if and only if:

f( g(x) ) = x

g( f(x) ) = x

So we need to check that with all the given options.

A)

[tex]f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\[/tex]

then:

[tex]f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7} - 10[/tex]

This is clearly different than x, so f(x) and g(x) are not inverses.

B)

[tex]f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3[/tex]

Then:

[tex]f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}[/tex]

This is different than x, so f(x) and g(x) are not inverses.

C)

[tex]f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}[/tex]

Then:

[tex]f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2} - 2[/tex]

Obviously, this is different than x, so f(x) and g(x) are not inverses.

D)

[tex]f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}[/tex]

Then:

[tex]f(g(x)) = 9*\frac{x + 6}{9} - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9} = x[/tex]

In this case we can conclude that f(x) and g(x) are inverses of each other.

PLEASEEEE HELPPPP MEEEEE

Answers

It’s B
Because you multiply the small triangles by 3





This is B.12ft
……………………


I GIVE BRAINLIEST!!!
Margie needs to borrow $9,000 from a local bank. The loan has a 8.5% interest rate for 4 years. What will Margie's monthly payment be?

Answers

Answer: I'm sorry I don't know but il try and calculate the answer for you

Step-by-step explanation:

Reflect the following points over the
x-axis. (-5, -3) (-2,-6) (-4,-8)

Answers

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

What is the area of the base of the cone below? 12ft v=90ft^3​

Answers

Answer: C 22.5 ft2!

Step-by-step explanation:

i took the test, have a great day:) <3

Answer:

right

Step-by-step explanation:

Angle 2 equals 130 find angle 3

Answers

Answer:

180° - 130 = 50°

Step-by-step explanation:

Assuming they are adjacent: 180° - 130 = 150°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If h is positive, move h units

Answers

Answer:

what's your question mean I don't understand it

Step-by-step explanation:

Have a great day

What is the surface area of the square pyramid ?
Sorry question is only 8. Ok

Answers

Answer:

Hello! answer: 175 cm2

Step-by-step explanation:

9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126

7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it

Solve for the value of x. Round to the nearest tenth.

Answers

the answer would be 19.3

The blue dot is at what value on the number line?
I'm really desperate, please help me. I'll give the person who has the correct answer brainliest.

Answers

Answer:

-19

Step-by-step explanation:

It's going by three's

Need help fast please

Answers

Answer:

28

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 45^2 = 53^2

a^2 +2025=2809

a^2 = 2809-2025

a^2 =784

Take the square root of each side

sqrt(a^2) = sqrt(784)

a =28

Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks

Answers

I think so that the answer is -48828125

round to the nearest hundredth . 7.428

Answers

Answer:

7.43

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7.43

Step-by-step explanation:

So lets go over a few things:

In decimal form, you start of in the tenths.

So in this case that is 4.

After tenths, is hundreths, thousandths, ten thousandths, etc.

Since hundreths comes after the tenths, that will be 2.

Any number 5 or greater will be rounded up, and any number below 5 is rounde down.

Now, to find if we raise or lower the hundreths(which is 2), we must see if the thousandth splace is above or lower than 5.

We can see that our thousandths is 8.

Since 8 is higher than 5, the 2 in our hundreths place will go up to 3.

So we get:

7.43

Hope this helps!

6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.

Answers

Answer: 1,152 notebooks

Step-by-step explanation:

You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)

42-(32+4)+7
Evaluate the following expression

Answers

Answer:

13

Step-by-step explanation:

42 - (32 + 4) + 7 =

42 - 36 + 7 =

13

Answer:

15.

Step-by-step explanation:

Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.

I hope this helped, have a nice day.

Find the common difference of the arithmetic sequence -16 -13 -10

Answers

Answer:

3

Step-by-step explanation:

-16+3= -13

-13+3= -10

the next number would be -7

I. B. Find the circumference of the following given data,
1. r= 15m
2. r = 25cm
3. d = 30m
4. d = 10m
5. r = 7cm​

Answers

CIRCUMFERENCES

1. 94.25 m
2. 157.08 cm
3. 94.25 m
4. 31.42 m
5. 21.99 cm

Once again, I'm asking for assistance in this problem. I thought it was 1/6 but I'm unsure. Someone help. The number next to 2/5 is 1/5.​

Answers

Answer:

Equation of the parabola:  or

Vertex form:

Intercept form:Step-by-step explanation:

WILL MARK BRAINLIEST!!!

Solve for the listed Angles of the circle. Question in the picture

Answers

Wollllllllyyyyy d-d-d-d-d-Dora

A carpet measures 7 meters 3 decimeters in length and 4 meters
decimeters in width. What is its area in square meters?

Answers

Answer:

29.2 metres squared

Step-by-step explanation:

because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.

now we just use the area formula to solve.

Area = Length × Width = 7.3 × 4 = 29.2 metres squared

Convert 69 g/cm to kilograms per meter (kg/m).

Answers

Answer:

69g/cm is 6.9kg/m

Step-by-step explanation:

[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]

Answer:

[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]

Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt

Answers

Yea he will
Adopt that many kittens

Which equation is a linear function?
Please answer within 5 minutes

Answers

Answer:

y= x/2-5

Step-by-step explanation:

Answer:

y=x²+7

Step-by-step explanation:

I'm pretty sure this is the answer

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