solve in systems by substitution y=x+2 and 3x+3y=6

Answers

Answer 1

Answer:

x = 0, y = 2

Step-by-step explanation:

Substitute the first equation into the second equation so 3x + 3(x+2) = 6. Simplify this to get x = 0. Plug x = 0 back into the first equation to get y = 2.

Answer 2

Answer:

x = 0, y = 2

Step-by-step explanation:

y = x + 2

3x + 3y = 6

3x + 3(x + 2) =6

3x + 3x +6 = 6

6x = 0

x = 0

y = x + 2 = 0 + 2 = 2


Related Questions

Ben's car depreciates in value by 15 % per year. Ben bought his car for £ 22000 . Work out how much his car will be worth after 6 years.

Answers

Answer:

£8297.29

Step-by-step explanation:

£22 000 x 0.85 to the power of 6=£8297.29

Consider the following formula y−p/2=e. Rearrange the formula to solve for "p":

Answers

Answer:

p = 2y - 2e

Step-by-step explanation:

Eliminate the fraction by multiplying all terms by 2:

2( y−p/2=e) = 2y - p = 2e

Now subtract 2e from both sides, obtaining:  2y - 2e = 0.

Finally, add p to both sides:  p = 2y - 2e

need help what is the equation of the purple line​

Answers

Answer:

y=-2/5x +8

Step-by-step explanation:

use y=mx+b      look at where the line intercepts with the y-axis and that is at 8 so that is your b. Then find two points and count how many down or up it is to get from the higher up point (i usually use the one that intercepts at the y-axis) to same line as the other point, in this case thats down two. Then count how many to the right it is and in this case it is 5. so since it went down thats -2 over 5 so then you just fill that into the y=mx+b   and you should get   y=-2/5x+8

Hope this helped!

ps. if this was right can you make it brainliest? thanks!

1.5,3,4.5,6,...arithmetic sequence or geometric sequence

Answers

Answer:

Step-by-step explanation:

1.5 , 3 , 4.5 , 6  ............

This is an arithmetic sequence. Each term is obtained by adding 1.5 to the previous term.

First term = 1.5

Common difference = second term - first term

                                 = 3 - 1.5 = 1.5

Check:

Second term = 1.5 + 15 = 3

Third term = 3 + 1.5 = 4.5

Fourth term = 4.5 + 1.5 = 6

A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 4ft and a radius of 6ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be $14,318.40. How much will the metal cost per square foot? Use 3.14 for pi, and do not round your answer.

Answers

First find surface area.

I will skip the exact explanation and just go to it because well its the same concept as the prism.

π*6^2*2+6*2π*4

=72π+48π

=120π

Now we need to take 3.14 for pi getting about

120*3.14=376.8 square foot.

Now the total is 14318.4 dollars, so what's left is simple division.

14318.4/376.8=38

The metal cost 38 dollars per square feet :P

Find the area of the triangle. Round your answers to the nearest tenth if necessary.
14 in
125 degrees
15 in

Answers

Answer:

14in

Step-by-step explanation:

basta ganun hirap nun

Linnea is renting a bike. It costs​ $4.50 per hour plus a​ $5 deposit. Answer parts a and b

What is the slope-intercept form?

Answers

Slope: 4.5
Y= 4.5x + 5

Extra:
Y intercept would be (0,5)

What is the solution to the system of equations below?
y = 2x +8
-6x + 3y = 12
1) no solution
2) infinite solutions
3) (-1, 6)
4) (1/2, 9)

Answers

Your answer is no solution

Write a System of Equations to solve the following problem:

The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans

and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

#students each VAN can carry:


#students each BUS can carry:

Answers

Answer:

each van carries 7 students

each bus carries 60 students

Step-by-step explanation:

let v = # students in a van

let b = # students in a bus

system of equations:

13v + 2b = 211

4v + 4b = 268

I multiplied the 1st equation by -2 to eliminate the 'b' terms

 -26v - 4b = -422

+ 4v  + 4b = 268

-22v = -154

v = 7

substitute  '7' for 'v':

4(7) + 4b = 268

28 + 4b = 268

4b = 240

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Step-by-step explanation:

Let v = number of students in each van.

Let b = number of students in each bus.

High School A:

13v + 2b = 211

High School B:

4v + 4b = 268

The system of equations is

13v + 2b = 211

4v + 4b = 268

We will solve this system of equation with the addition method.

Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.

        13v + 2b = 211

(+)     -2v - 2b = -134

----------------------------

        11v         = 77

Divide both sides by 11.

v = 7

Substitute 7 for v in the first original equation and solve for b.

13v + 2b = 211

13(7) + 2b = 211

91 + 2b = 211

Subtract 91 from both sides.

2b = 120

Divide both sides by 2.

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

composite figure? Check all that apply.
A = s2
A = bh
It wouldn’t let me type the 3 other answers so look in the images for the other ones and the shape.

Answers

Answer:

The answers are 2 and 4

Step-by-step explanation:

A=bh for Rectangle

A=1/2 r^2 π for Half circle

Simplify:
6(2x - 3) - (5x + 7)
thank you!!!

Answers

Answer:

7x-10

ye that's it

Answer:

7x−25 is the awnser !! Your welvome

A box has the following dimensions: length = x +7, width = x - 4, height = 2x-6. Find the volume of the box if x is 5​

Answers

hope this helps you out:)

you need a piece of paper to measure 65.31 cm. if you tape two together that each measure 38.9 cm, how much do you need to cut off?

Answers

Answer:

you would need to cut off 12.49 cm. of the paper

Find two acute angles that satisfy the equation sin(2x + 8) = cos(x + 28). Check that your answers make sense.
The smaller angle is
°.
The larger angle is

Answers

Step-by-step explanation:

why is my brainly sux lol due dude.ex

One angle of an isosceles triangle measures 140°. Which other angles could be in that
isosceles triangle? Choose all that apply.
140
61
20°
7

Answers

Triangles have to equal up to 180° so there isn’t two answers that line up unless we’re picking one out of these it would be 20°
it could be 20 or 7. it can’t be 20 AND 7, because all triangles angles have to add up to 180, but either or is correct. both are possible answers i think.

63° 55°
X =
degrees.

Answers

Answer:

Step-by-step explanation:

The sum of these angles must equal 360 degrees.

x+63+55=360

x+118=360

x=242

PLZ PLZ PLZ I NEED HELP!!!!

Answers

Answer:

The answer is B

Step-by-step explanation:

Divide the distance by the time.

Please help me will give brainlest to correct answer and simple/small explanation

Answers

Answer:

Im not joing to give the answer because i have something simaler that im working on and im almost done but thats why i cant give it because i dont know it yet but i do know how to solve it.

Step-by-step explanation:

You multiply all the numbers once and then thats your answer!

A right-angle triangle, with two sides adjacent to the right angle labeled x and y respectively, and the hypotenuse is labeled 12 times square root of 3. The angle between the hypotenuse and the side labeled x measures 30 degrees. Find the values of $x$ and $y$ . Write your answers in simplest form.

Answers

Answer:

y = 6(sq rt 3)

x = 18

Step-by-step explanation:

y = (0.5)(12)(sq rt 3) = 6(sq rt 3)

x = (0.866)(12)(sq rt 3) = (10.392)(sq rt 3) = sq rt 324

reduced

x = 18

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of x and y is 18 and 6√3 units respectively.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Let the side with label x be the base of the triangle and y be the perpendicular.

As the length of the base is x while the angle is 30°, and the length of the hypotenuse is 12√3, therefore, the value of x can be written as,

[tex]Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos (30^o)=\dfrac{x}{12\sqrt3}\\\\\\Cos (30^o) \times {12\sqrt3}={x}\\\\x = {12\sqrt3} \times \dfrac{{\sqrt3}}{2}\\\\x = 18[/tex]

Now, as we know that the length of the perpendicular side is y, therefore, the value of y can be written as,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin (30^o)=\dfrac{y}{12\sqrt3}\\\\\\Sin (30^o) \times {12\sqrt3} ={y}\\\\\\y = \dfrac{1}{2} \times 12\sqrt3\\\\\\y = 6\sqrt3[/tex]

Hence, the value of x and y is 18 and 6√3 units respectively.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

2/100+5/10 find the sum

Answers

Answer:

0.52

Step-by-step explanation:

2/100=0.02, and 5/10=0.5. 0.5+0.02=0.52

Simplify Please and Thank you!

Answers

Answer:

[tex]2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}[/tex]

Mike collects trading cards. His favorites are baseball and football cards. For every 3 basebali cards he owns, Mike has 5 football cards. What is the ratio of baseball cards to football cards in his collection ?

Answers

Answer:

56 cards

Step-by-step explanation:

If 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

7x8=56

56 is the answer because if 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

Whats the vloumeeeee????>????!?!!??

Answers

Volume = (edge)^3

Let V = Volume of cube

V = 1_1/2 • 2 • 1_1/2

V = 9/2

Answer: 4.5

:) 1.5 x 1.5 x 2 = 4.5

Find the HCF of terms and factorise: 20x3 – 40x2 + 80x​

Answers

Answer:

The largest factor that can be pulled out of that expression is 20x, giving you 20x(x² - 2x + 4)

Step-by-step explanation:

20x³ - 40x² + 80x

= 20x(x² - 2x + 4)

Rome had to pay yearly
tribute to Carthage..
Is this true or false

Answers

Answer:

True

Step-by-step explanation:

At least that's what wiki says

- 7(4-1) = 14
- 28 - 7r = 14
- 7r = 42
r = -6
What the right answer

Answers

Is this your question?

-7(4-1r) = 14

-28+7r=14

7r=32

r=32/7

Answer : I got two right answer
-28 -7r = 14 and -7r = 42

Step-by-step-explanation : if r = -6
Then -28 - 7×-6 = 14
14 = 14

-7×-6 = 42
42 = 42

please solve this for me

Answers

Answer:

its A

Step-by-step explanation:

TRUST!

it is.
A have a great day

Mrs. Gilbert is interested in determining how many students spend 4 or more hours doing homework each week. She asks every student who earned Honor Roll for the first semester. Is her survey biased or unbiased?

A. biased, because she didn't ask random students
B. unbiased, because she asked every student on honor roll
C. biased, because she only asked students on honor roll
D. unbiased, because first semester is over

Answers

Answer:

C. Biased, because she only asked students on honor roll.

Step-by-step explanation:

Since Mrs. Gilbert's goal was to find how many students that spent >4 hours and not how many students that earned Honor Roll that spent >4 hours, the data is biased. Choose C.

Identify two segments that are marked parallel to each other on the diagram below. PLEASE ANSWER CORRECTLY !!!!!!!! WILL
MARK BRIANLIEST !!!!! (Choose two capital letters for each !!!!!! )

Answers

Answer:

LO  is parallel to MN

Step-by-step explanation:

Here we have a parallelogram, and we want to identify two segments that are parallel.

We can see that ON is parallel to LM

And LO is parallel to MN

Because this is a parallelogram (we know this because there is a 90° angle at N), the opposite sides are parallel.

So from this, we can see that sides ON and LM are opposite, then ON is parallel to LM

With the same reasoning, LO is parallel to MN.

If you want to learn more, you can read:

https://brainly.com/question/16701300

If 16 of 200 apples were bad, what percent is that?
-8%
-10%
-12%
-16%

Answers

Answer:

8%

Step-by-step explanation:

100% = 200apples

x = 16 apples

1600% apples = 200 apples x

200 apples. 200 apples

x = 8%

Answer:

8%

Step-by-step explanation:

200 x 0.08 = 16

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