2x + 8y = 21 6x - 4y = 14

Answers

Answer 1
Answer:(x,y)=(3/31, 107/62)

Step-by-step explanation:

{2x+8y=14

{216x-4y=14

{x+4y=7

{216x-4y=14

217x=21

x=3/31

2*3/31+8y=14

y=107/62

(x,y)=(3/31, 107/62)

2*3/31+8*107/62=216*3/31-4*107/62=14

14=14=14 since all of the equalities are true the order pair is the solution of the system (x,y)=(3/31, 107/62)

hope this helps :)


Related Questions

someone please help :)

Answers

Answer: 25

Step-by-step explanation:

they are corresponding angles

You are balancing your checkbook. Your beginning balance is $595.00. You wrote two checks for $30.00 each and then you wrote another check for $775.00. How much is in your checking account now?

Answers

Answer:

- 220

Step-by-step explanation:

Add the 2 checks for 30 each.

30+30=60

Add 60 and 775.

755+60=815

That is how much you took out

Subtract.

595-815=-220

Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?

Answers

Step-by-step explanation:

We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.

We want to find the initial vertical velocity of the ball.

The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,

[tex]v=v_o +at[/tex]

Here, v = -6.5 m/s, t = 1.5 s and a = -g

[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]

So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).

The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet

Answers

Answer:

E. 57 feet

Step-by-step explanation:

If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.

The 2x is "twice the width".

The 5 added to the 2x is "5 feet longer than"

The x is the width of the room.

                                                                                   

If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)

                                     (Both of the long sides)^       ^(Both of the short sides)

Then we need to solve for x.

[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]

Next, we input the value we got into the equation 5+2x (The length of one side) and solve

[tex]5+2x\\5+2(26)\\5+52\\57[/tex]

So the length of the room is 57 feet.

Hope this helps!

what’s the missing number ?

Answers

Answer:

84

Step-by-step explanation:

One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:

2x = 12(14)

2x = 168

x = 84

Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.

Hope this helped! :)

But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?

Answers

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

What two numbers have a sum of 191 and a difference of 63

Answers

Answer:

Step-by-step explanation:

a+b=191

a-b=63

i sum these

a+b+a-b=191+63

2a=254

a=254/2

a=127

b=191-127

b=64

Answer:

127 and 64

Step-by-step explanation:

To solve this, we can set up a system of equations.

We can name the first number x and the second number y.

x+y=191

x-y=63

We can use elimination to eliminate the y variable.

We do this by adding the equations together

  x+y=191

+ x-y=63

_________

2x=254

Divide both sides by 2.

x=127

Now we can plug that in to find y.

x+y=191

127+y=191

Subtract 127 from both sides.

y=64

So our two numbers are 127 and 64.

Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6

Answers

Answer:

-2.8

Step-by-step explanation:

I solved it thats how

I think this is answer

What does 2+2 equal

Answers

2+2=4

a^2+b^2=c^2
15^2-4^2
=225-16
=209

Answer: 14.4

Step-by-step explanation: To find the third side of the triangle, we have to  use the pythagorean theorem...

a² + b² = c²

a² + 4² = 15²

a² + 16 = 225

225 - 16 = 209

[tex]\sqrt{209}[/tex]

a ≈ 14.4 (If rounded it would be 14)

I hope this helps!

Calculate (full working required)

2.43 x 4 =

Answers

Answer:

The answer is 9.72 .

Step-by-step explanation:

You can do it by elaborating :

2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)

= 8.00 + 1.6 + 0.12

= 9.72

each store is offering a different promotion

Answers

Answer:

Ddddddddddddddddddddddddd

A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a second blue marble is drawn?

Answers

Answer:

[tex]\frac{25}{64}[/tex]

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

[tex]=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}[/tex]

which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?

Answers

Answer:

(0, 8)

Step-by-step explanation:

i just got this question

Answer:

(-9,0)

Step-by-step explanation:

To find the x intercept, set y=0 and solve for x

f(x) = (x-8) (x+9)

0 = (x-8) (x+9)

Using the zero product property

x-8 =0    x+9=0

x=8    x=-9

(8,0)    (-9,0) are the x intercepts

What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters

Answers

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true?
A) Each distribution has a different mean and the same standard deviation.
B) Each distribution has a different mean and a different standard deviation.
C) Each distribution has the same mean and the same standard deviation.

D) Each distribution has the same mean and a different standard deviation.

Answers

Answer:

D) Each distribution has the same mean and a different standard deviation.

Step-by-step explanation:

just took test edg2020

The graph below shows three different normal distributions.

D) Each distribution has the same mean and a different standard deviation.

What is standard deviation and mean?

The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.

Therefore, each distribution contains the same mean and a separate standard deviation.

Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."

To learn more about standard deviation and mean

https://brainly.com/question/10924415

#SPJ2

Tim is reading a book that contains 55 pages .He has read 46 pages,How many pages are unread?

Answers

55-46=9 The answer is 9 unread pages

Answer:

9 unread pages

Step-by-step explanation:

Take the total number of pages and subtract the pages that have been read

55-46 = 9

There are 9 pages that are unread

Complete the equation of the line whose slope is 555 and yyy-intercept is (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis.

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

Equation of a line passing through a point (x', y') and having slope 'm' is represented by,

y - y' = m(x - x')

If the point through which the given line is passing is (0, 4) and slope of the line is '5'

Equation of the line will be

y - 4 = 5(x - 0)

y = 5x + 4

Therefore, equation of given line is y = 5x + 4

Answer:

y=4x-1

Step-by-step explanation:

This is right i promise, also add me on ig melanin_.leesha

A circle has a radius of
square route of 13 units and is centered at (-9.3, 4.1).
Write the equation of this circle.

Answers

Answer:

[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]

Step-by-step explanation:

Answer:

(x+9.3)^2+(y-4.1)^2=13

Step-by-step explanation:

6th GRADE MATH:
The length of a park is 250 meters. What’s the park in kilometers?

Answers

Answer:

.25 kilometers

Step-by-step explanation:

Divide the length value by 1000 when going from meters to kilometers

solve 6n + 12 - 8n = 22

Answers

Answer:

n = -5

Explanation:

6n + 12 − 8n = 22

[ Simplify both sides of the equation ]

6n + 12 − 8n  =22

6n + 12 + −8n = 22

(6n + −8n) + (12) = 22 [Combine Like Terms]

−2n + 12 = 22

−2n + 12  =22

[ Subtract 12 from both sides ]

−2n + 12 − 12 = 22 − 12

−2n = 10

[ Divide both sides by -2 ]

-2n / -2 = 10 / -2

n = -5

Answer:

n = -5

Step-by-step explanation:

6n + 12 - 8n = 22

Combine like terms

-2n +12 = 22

Subtract 12 from each side

-2n +12-12 = 22-12

-2n =10

Divide each side by -2

-2n/-2 = 10/-2

n = -5

Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?

Answers

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

yo was the answerrrrrr n how u do it???????

Answers

Answer:

A pizza with 8 slices has price: 12$, then each slice cost:

12/8 = 1.5$

Hope this helps!

:)

Answer:

$1.50

Step-by-step explanation:

Total cost of pizza: $12

The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.

12/8 = 1.50

one slice of pizza costs $1.50

can someone help me with this question ​

Answers

Answer:

Female:

Total 26

Male:

Rovers 9

City 8

Total 24

Total (along the bottom):

Rovers 20

United 10

how to get the answer ?

Answers

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3

Someone be a homie cause I’m really tryin on this math shi thank youuuu

Answers

Answer:

The area of the shaded region is equal to difference of the sector contains that shaded region and the triangle.

The area of sector:

A_S = pi x radius^2 x 123/360

       = pi x 18.6^2 x 123/360

       = 371.346 (m2)

The area of triangle:

A_T = base x height x (1/2)

       = (18.6 x sin(123/2) x 2) x (18.6 x cos(123/2)) x (1/2)

       = 145.073 (m2)

=> Area of shaded region:

A = 371.346 - 145.073 = 226.273 = ~226.3 (m2)

Hope this helps!

:)

Answer:

First give me points and make me winner, then we can discuss the answer.

Step-by-step explanation:

5 (3-n)=2n+1
How do I solve this problem? Please help me. Thank you very much.​

Answers

Step-by-step explanation:

15 - 5n = 2n + 1

Bringing like terms on one side

15 - 1 = 2n + 5n

14 = 7n

14/ 7 = n

2 = n

Answer:

Step-by-step explanation:

First distribute. 5•3 and 5•n.

This gives you 15-5n=2n+1

Next add 5n to both sides.

This will give you 15=7n+1

Then you will subtract 1 from both sides.

14=7n

Finally you divide by 7 so you can get n by itself.

Your answer will be 2=n

You can always go back and plug your answer in to see if it works!

The price of a watch was increased by 20% to £162. What was the price before the increase?

Answers

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

Answer:

sh.129.60

Step-by-step explanation:

20%...€162

€162 times 80 over 100

€81 times 8....over 5

€648 divide 5

......ans...... €129.60

Without measuring angles what is the measure of angle A′ OB ′?

Answers

Answer:

That isn’t possible

Step-by-step explanation:

Write 21 9/1000 in decimal form

Answers

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

Pengelola layanan air minum di desaku membuat tempat penampungan air di dataran tinggi agar air dapat menjangkau seluruh desa. Tempat penampungan tersebu berbentuk kubus dengan panjang rusuk 8 meter. Jika tempat penampungan itu penuh, berapa liter air yang tertampung?

Answers

Answer:

The shelter can contain 512 cubic meters of water.

Step-by-step explanation:

This question can be translated to:

"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"

As you can observe, the volumetric form is a cube with 8 meters long each edge.

We know the volume of a cube is defined as

[tex]V=l^{3}[/tex]

Where [tex]l=8 \ m[/tex], replacing this value, we have

[tex]V=(8 \ m)^{3} \\V=512 \ m^{3}[/tex]

Therefore, the shelter can contain 512 cubic meters of water.

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