3x-6y=-12
6x+6y=30
What is the value of x and y

Answers

Answer 1

Answer:

(2,3) or x=2 and y=3

Step-by-step explanation:

find x...

3x-6y= -12

3x = 6y-12

x = 2y-4

plug x into the other equation

6(2y-4) + 6y = 30

12y-24 +6y = 30

18y = 54

y = 3

Plug y into an equation to find x

3x-6(3) = -12

3x-18= -12

3x=6

x=2

[Answer] y=3 and x=2 or (2,3)

PLEASE RATE!! I hope this helps!!

If you have any questions comment below


Related Questions

To determine the number of rams in a conservation area, a researcher catches and marks 103 rams. Then the researcher releases them. Later, 89 rams are caught and it is found that 21 of them are tagged. About how many rams are in the conservation area?

There are about rams in the conservation area.

(Round your answer to the nearest whole number as needed.)

Answers

Answer:

19 the explanation is 19 46

Help what's the correct question ​

Answers

5 x 3 = 15 and 5 x -2k = -10k so B

my braincells are disappearing help me

Answers

Answer:

Last option

Step-by-step explanation:

In order to manipulate a, you have to divide by 3 on both sides.

Kaylee was out at a restaurant for dinner when the bill came. her dinner came to $24. after adding in a tip, before tax, she paid $28.08. find the percent tip.

Answers

Answer:

17%

Step-by-step explanation:

subtract/originial*100=lercent change

4.08/24=0.17*100=17

The answer is 17%

Agnes has $1,000 and she wants to have $1,100 accrued after 5 years. what rate does she need to have to meet her goal?

Answers

Answer:

the formula to use is R = 100I/ PT

Step-by-step explanation:

R = rate, I = interest = $1100, P = $ 1000, T= 5years

Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

14.4

Step-by-step explanation:

We have hypotenuse so cannot use tangent. We have adjacent so we can't use sine, therefore, we have to use cosine.

x = cos(59) x 28

x = 14.4

Is -4,6 a solution to y=-9

Answers

Answer:

No, (-4, 6) is not a solution to y = -9.

Step-by-step explanation:

y= -9 has a horizontal line graph.  Every point on this line has -9 as its y-coordinate.  (-4, 6) does not lie on that line and is therefore not a solution to y = -9.

The ratio of the measures of the three angles in a triangle is 15:8:13. Find the measure of the three angles.

Answers

Answer: 75, 40, 65

Step-by-step explanation:

Let the angles measure 15x, 8x, and 13x.

Since the sum of the angles of a triangle is 180 degrees,

15x+8x+13x=180, meaning that x=5.

So, the angles are 15(5)=75 degrees, 8(5)=40 degrees, and 13(5)=65 degrees.


A construction crew has just built a new road. They built the road at a rate of 3 kilometers per week. They built 18.75 kilometers of road. How many weeks did
it take them?

Answers

Answer:

6.25 weeks

Step-by-step explanation:

Take 18.75 and divide it by 3, since the crew is finishing 3 km per week. You get 6.25, so it took the crew 6.25 weeks to finish the road.

Hopefully this helps- let me know if you have any questions!

Consider the equation - 3x2 + 27x - 63 = 0.
What is the discriminant of the equation?

Answers

Answer:

answer is 19/9.

Step-by-step explanation:

give me brielient.

I needdddd helllppppppppp

Answers

3.y=2/1/2
y=2x2
y=4

1.y=4/4
y=1

doing number 5 rn

1.1 2.4 3.3 right

Step-by-step explanation:

no have

what is the genaral term of this number pattern ? 45,41,37,33,29​

Answers

Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

Answer:

aₙ = -4n + 49

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

Can someone please help me with this? I need to turn it in tomorrow and I don't understand what to do.

Answers

Answer:

Step-by-step explanation:

Slope intercept form

y + 7 = 3(x  + 4)                 Change all the double minuses to pluses.

y + 7 =  3x + 12                  Remove the brackets.

y + 7 - 7 = 3x + 12-7           Subtract 7 from both sides

y = 3x + 5

Slope

Whatever number is in front of the x is the slope Answer: 3

y intercept

Whatever comes after the plus sign (or minus sign) is the y intercept. It is a single number.  Answer: 5

x intercept.

This occurs when y = 0

0 = 3x + 5                      Subtract 5 from both sides

-5 = 3x + 5 -5

-5 = 3x                            Divide by 3

-5/3 = 3x / 3

-5/3 = x                          

Answer: x_intercept = -5/3

Which function has a constant additive rate of change of –1/4?.

Answers

A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1.

Find the distance between points A and B if A is point(-2, 12) and B is point (3, 0)
options:

11 units


18 units


15 units


13 units

Answers

Answer:

13 units is the answer to the question

Here are clues for a puzzle involving two numbers.



Seven times the first number plus six times the second number equals 31.
Three times the first number minus ten times the second number is 29.
PART A
What are the two numbers?

Answers

Answer:

the first number is 5 1/2the second number is -1 1/8

Step-by-step explanation:

The relations describing the two numbers can be written as equations. First, we need to assign variables: let x and y represent the first and second numbers, respectively.

The given relations are then ...

  7x +6y = 31

  3x -10y = 29

__

Such a system of equations can be solved many ways. One that is usually convenient is to use a graphing calculator. It tells us ...

the first number is 5 1/2the second number is -1 1/8

! PLEASE HELP!
A signal can be sent from one location to another by running different colored flags up a flagpole, one above the other. There are 15 different colored flags to choose from but only 4 flags will be flown. Find the number of different signals consisting of 4, if the first flag must be orange.

If the first flag is orange then the number of different signals consisting of 4 flags is ____

Answers

Using the combination formula, it is found that if the first flag is orange then the number of different signals consisting of 4 flags is 364.

The order in which the flags are chosen is not important, hence, the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, considering that the first flag is orange, 3 flags will be chosen from a set of the remaining 14, hence the number of signals is given by:

[tex]C_{14,3} = \frac{14!}{3!11!} = 364[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

a boy agreed to work one year for 1200 and a horse at the end of six months he quit and received 400 plus the horse what was the value of the horse

Answers

The cost of the horse given the amount received at the end of 6 months is 600

How to find the value of the horse?

let

h = value of the horse

6/12 × 1200 + 6h/12 = 400 + h

700 + 6h / 12 = 400 + h

700 - 400 = h - 6h/12

300 = 12h - 6h / 12

300 = 6h/12

cross product

300 × 12 = 6h

3600 = 6h

h = 3600 / 6

h = 600

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1. D=7.4 calculate the area of the circle

2. R=2.2 yd
Calculate the circumference of the circle

3. D=5 cm
Calculate the circumference of the circle


4. D=6 cm
Calculate the circumference of the circle


5. R=2.1 m
Calculate the area of the circle



6. R= 1.3 mm
Calculate the circumference of the circle

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

We need to know two formulas before we start ~

Area of circle = [tex]\sf \pi r² [/tex]

Radius (r) = diameter (d) ÷ 2

Circumference = [tex]\sf 2\pi r \:\: or \;\;\pi d [/tex]

Taking value of pi as 3.14

Let's solve ~

problem 1

[tex]\qquad \sf  \dashrightarrow \:d = 7.4[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 7.4 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 3.7 \: \: units[/tex]

now,

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (3.7) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 42.9866 \approx43 \: \: unit {}^{2} [/tex]

problem 2

[tex]\qquad \sf  \dashrightarrow \:r = 2.2 \: yd[/tex]

[tex]\qquad \sf  \dashrightarrow \: circumference = 2 \times 3.14 \times 2.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: c =13.816 \: yd[/tex]

problem 3

[tex]\qquad \sf  \dashrightarrow \:d = 5 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 15.7 \: \: cm[/tex]

problem 4

[tex]\qquad \sf  \dashrightarrow \:d = 6 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:c =18 .84 \: \: cm[/tex]

problem 5

[tex]\qquad \sf  \dashrightarrow \:r = 2.1 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (2.1) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 3.14 \times 4.41[/tex]

[tex]\qquad \sf  \dashrightarrow \:a \approx13.85 \: \: m {}^{2} [/tex]

problem 6

[tex]\qquad \sf  \dashrightarrow \:r = 1.3 \: mm[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 2 \times 3.14 \times 1.3[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 8.16 \: \: mm[/tex]

Trina purchases 10 tickets from a charity raffle. Each ticket in the raffle has 6 different numbers between the numbers 1 and 20. If there is only one prize, what is the probability of Trina winning the prize? Express your solution as a fraction in reduced form.

Answers

The probability of winning when there is only one prize, is:

P = 1/2,790,720

How to find the probability?

Each ticket has 6 different numbers, in order, from 1 to 20.

The first number has 20 options.The second number has 19 options (because the numbers can't repeat).The third number has 18 options, and so on.

The total number of possible combinations is given by the product between the numbers of options, so there are:

C = 20*19*18*17*16*15 = 27,907,200 possible tickets.

So, if Trina purchases 10 tickets, she has a probability of 10 out of 27,907,200 winning (when we assume that there is only one prize)

Then the probability is:

P = 10/27,907,200 = 1/2,790,720

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

2. You bought 8 bags of gummy bears and they cost $2.79 each. How much did
the gummy bears cost after you included the 8% sales tax?
Your answer

Answers

it would be $25.52, i’m pretty sure this is right, i’m sorry if it isn’t!!

Answer:

$24.11

Step-by-step explanation:

Find the total price of the gummy bears by multiplying the 2.79 each bag by the 8 bags. 2.79×8=22.32.Convert the percentage into a decimal. Move the decimal place that is after the 8% (same as 8.0% if you need to visualize the location of the decimal) to 2 places to the left. This means your decimal is 0.08.Multiply the decimal by the total untaxed cost from the first step. This will give you the tax. 22.32×0.08=1.7856, which rounds to currency of 1.79. Add the tax and the untaxed total together to get the grand total. 1.79+22.32=24.11Your answer is $24.11

2) Jessica is selling girl scout cookies and recorded how many she
sold in one afternoon. She sold Thin Mints, Trefoils, and Samoas.


a) She sold 54 boxes of Thin Mints, which was 60% of the total
number she sold. How many total boxes did she sell?

Answers

Answer: 90.

Step-by-step explanation: According to the question above, 54 Thin Mints cookies were 60% of the total amount of cookies she sold in one afternoon and the remaining 40% is still missing. 54 / 3 is 18, which is part of our answer, because if 54 is 60%, then 18 is 20%. 18 x 2 is 36, and 36 is 40%. Now that we've found the remaining 40%, the rest is adding 54 and 36, which gives you an answer of 90.

Write the following as an inequality.
5 is greater than or equal to w, and -5 is less than or equal to w
use w only once in your inequality

Answers

Answer:

[tex]-5\leq w\leq 5[/tex]

[tex]\huge\underline\mathtt\red{Answer:}[/tex]

−5 ≤ w ≤ 5

Which statements are true regarding the regular dodecagon? Check all that apply

Answers

Answer:

A dodecagon is a shape with 12 sides

Step-by-step explanation:

Decagon is 10 and do is 2 so 12

please help I'm trying to write this in scientific notation
will give brainliest

Answers

Answer:

8.0 * 10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

8.0 x 10 4

Step-by-step explanation:

This is right

Find an equation for the plane that contains the line and is perpendicular to the plane

Answers

For the line and the plane to be perpendicular, they have to meet at right angles

The equation for the plane is x + 2y + 3z= 26

How to determine the equation?

From the complete question, we have:

Point = (5,0,7)

Plane perpendicular to ⟨1,2,3⟩

The general equation is:

a * x+b * y+c * z = d

So, we have:

d = 5 * 1 + 2 * 0 + 7 * 3

Evaluate

d = 26

Recall that:

d = 5 * 1 + 2 * 0 + 7 * 3

Replace the points with x, y and z.

So, we have:

d = x * 1 + 2 * y + 3 * z

Evaluate

d = x + 2y + 3z

So, we have:

d = x + 2y + 3z and d = 26

Equate both equations

x + 2y + 3z= 26

Hence the equation for the plane is x + 2y + 3z= 26

Read more about perpendicular planes at:

https://brainly.com/question/4954460

20. Joseph has a shadow that is 7 feet long. If the
angle of elevation of the sun is 48°, how tall is
Joseph?

Answers

Answer:

7.8 feet

Step-by-step explanation:

Use the formula of tan to find his height.

tan Θ = [tex]\frac{opposite}{adjacent}[/tex]

tan 48 = [tex]\frac{x}{7}[/tex]

x = tan 48 × 7

x = 7.8 ft

Find the area of the unshaded region.

Answers

Answer: 21

Step-by-step explanation:

The ratio of the number of boys to the number of girls in choir is 6 to 7. There are 70 girls in choir. How many boys are in choir?

Answers

Answer:

48

Step-by-step explanation:

Line of reflection
just the graph
rectangle GHIJ with vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4)

Answers

Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)  

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)  

Find out more on transformation at: https://brainly.com/question/4057530

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