Solve the system. Y = 1/2x - 3 Y= 4 + 1/2x

Answers

Answer 1

Answer:

y=

1

2

x;−3y=4+

1

2

x

Rewrite equations:

y=

1

2

x;−3y=

1

2

x+4

Step: Solvey=

1

2

xfor y:

y=

1

2

x

Step: Substitute

1

2

xforyin−3y=

1

2

x+4:

−3y=

1

2

x+4

−3

1

2

x=

1

2

x+4

−3

2

x=

1

2

x+4(Simplify both sides of the equation)

−3

2

x+

−1

2

x=

1

2

x+4+

−1

2

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

=

4

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

1

2

x:

y=

1

2

x

y=

1

2

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Step-by-step explanation:

Sorry if it is too confusing

Answer 2

Answer:

x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)

Step-by-step explanation:


Related Questions

Help?... i really really need help...

Answers

Answer:

Bro its easssssssssssssssssssssssssssssssy

Step-by-step explanation:

you must do the rule of threee.

1) 20
2) 24
3) 9
4) 32
5) 35
6) 18
7) 3.6

38. A football pitch measuring 120m by
80m is surrounded by a running track
measuring 15m wide all round. Find
area covered by the running track​

Answers

Answer:

Area of the running track = 6900 m²

Step-by-step explanation:

Length of a football pitch = 120 m

Width of the football pitch = 80 m

Area of the football pitch (Inner rectangle) = Length × Width

                                                                      = 120 × 80

                                                                      = 9600 m²

If a running track (width = 15 m) is built around the football pitch,

Length of the outer rectangle = 120 + 2×(15)

                                                  = 120 + 30

                                                  = 150 m

Width of the outer rectangle = 80 + 2×(15)

                                                = 110 m

Area of the outer rectangle = 150 × 110

                                              = 16500 m²

Therefore, area of the track around the football pitch = Outer rectangle - Inner rectangle

= 16500 - 9600

= 6900 m²

Area of the running track = 6900 m²

Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and
2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.

Answers

Answer:

Well, there are 12 inches ina foot so let's multiply 56 by 12. Now, divide 672 by 8: 672/8 = 84 So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model. It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

HOPE THIS HELPS!!!

BRAINLIEST PLZ???

Answer:

It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same. But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.

56 • 12 = 672

divide 672 by 8:

672/8 = 84

So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model

21 • 12 = 252

2.5 • 84 = 210

It is not equal, so no, it is not a true scale model.

What is -3/4(-5/9) ?

Answers

Answer:

5/12

Step-by-step explanation:

Answer:

D) -47/36

Step-by-step explanation:

Trust me.

-11r + 88 = 77
Solve for r

Answers

Answer:

r=1

Step-by-step explanation:

77 - 88 = -11

-11/-11 = 1

Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

It’s 6 because the full length is 12 and it’s asking for the half of it

Which of these numbers lines is the X-axis?​

Answers

Answer:

the one going this way -------------------------- not up and down

Step-by-step explanation:

Answer:

Step-by-step explanation:

the one on the right

Is(3, 2) a solution to the system on inequalities ?Explain.

Answers

Answer:

No

Step-by-step explanation:

The solution of the system of inequalities is the intersection region of all the solutions in the system. Example 1: Solve the system of inequalities by graphing: y≤x−2y>−3x+5. First, graph the inequality y≤x−2 .

can you guys help me?

Answers

Pretty sure you have to use the Pythagorean Theorem.
a^2+b^2=c^2

So you would plug in your numbers that you already have (6 and 10) But notice that 10 is the hypotenuse (longest side) so
6^2+x=10^2

Then you would solve it and you should end up with 11.6619

You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?

Answers

Answer:

30 that singular tickets for each friend and if your asking for total it would be 120. :)

Step-by-step explanation:

They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)

hope this helped

For every $10,000 a company earns, it gives $500 to charity. How much does the company give to charity for every $1 earned?

Answers

Answer:

$0.05 i think

Step-by-step explanation:

FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!

If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?

Answers

Answer:

a = 3

b = 5

c = -8

abc = -120

Step-by-step explanation:

Answer:

-120

Step-by-step explanation:

sorry just looked at the answer below *HAXZ*:)

simplify 3a x 4, thank youuuu

Answers

Answer:

12a

3 x 4 =12a

mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the investment what was the amount of interest mark received at the end of two years

Answers

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

Answer:

You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser

Step-by-step explanation:

Pleaseeee help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer to the question is 540°

Step-by-step explanation:

The reason to the answer is:-

There is a formula which is (n - 2) × 180

n is the number of sides the shape has, and there is 5 sides so we subtract 5 - 2 = 3

Therefore, 3 × 180 = 540°

I hope this answer helps!

Answer:

540°

General Formulas and Concepts:

Math

Counting

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Sum of Angles: 180(n - 2)°

Step-by-step explanation:

Step 1: Define

We have a polygon with 5 sides (a pentagon)

n = 5

Step 2: Find Sum

Substitute in n [Sum of Angles]:                                                                    180(5 - 2)°(Parenthesis) Subtract:                                                                                   180(3)°Multiply:                                                                                                           540°

find the volume of the earth if the diameter is 7917.5​

Answers

Answer:

Step-by-step explanation:

diameter=7917.5

r=3958.75

the earth is sphere

V=4/3x3.14xr^3

V=2.6*10^11

Evaluate 2x − 2 for x = 0, x = 1, and x = 2.

Answers

Answer:

-2, 0, and 2

Step-by-step explanation:

For x=0:

2(0) -2

0-2

-2

For x=1:

2(1)-2

2-2

0

For x=2:

2(2)-2

4-2

2

Answer:

its -1, 0, 2

Step-by-step explanation:

What is the distance of
CD

given that
C (5,-2) and D (-3,8)
Leave your answer as a square root.

Answers

Answer:

CD = [tex]\sqrt{164}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)

d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]

   = [tex]\sqrt{(-8)^2+10^2}[/tex]

    = [tex]\sqrt{64+100}[/tex]

    = [tex]\sqrt{164}[/tex]

     = 2[tex]\sqrt{41}[/tex] ← in simplest form

Given :

C (5, - 2)D (- 3, 8)

To Find :

CD = ?

Solution :

As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :

[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]

Here,

x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8

So, by filling values :

[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]

[tex] \sf : \implies CD = \sqrt{164}[/tex]

Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]

A triangle with sides 6, 12, and 18 is similar to another triangle whose longest side is 24. What is the perimeter of the larger triangle?

Answers

Answer:

Possibly 48 because perimeter I believe is found by adding all sides up sorry if I'm wrong friend. -Your friend, Cipher

Step-by-step explanation:

plsssssssssssss helpppppppppppp

Answers

Answer:

A. 0

Step-by-step explanation:

3*0 is less than 18

4y + 4 = 2y - 10
can somebody break this down to solve it ? please

Answers

Answer:

y=-7

Step-by-step explanation:

first, you want variables on one side, numbers on the other side of the equation.

4y+4=2y-10

*plus ten on both side to get rid of -10*

4y+14=2y

*minus 4y on each side to get rid of 4y*

14=-2y

*divide by -2 on each side to get the value of just one y itself*

y=-7

A soccer goal, as shows below, is composed of a pair of 8foot upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal. A soccer ball is positioned directly in front of the right goal post. If the ground distance from the ball to the right goal is 14ft, what is the ground distance from the ball to the left goal post?

Answers

Answer:

The distance from the ball to the left post is 50 feet.

Step-by-step explanation:

Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:

A ^ 2 = B ^ 2 + C ^ 2

A ^ 2 = 14 ^ 2 + 48 ^ 2

A ^ 2 = 196 + 2,304

A = √2500

A = 50

Thus, the distance from the ball to the left post is 50 feet.


Write your own problem that would give the following answer:
(3a^3r^6)/
(2p^5)
Your problem must: contain 4 different variables (letters), require the use of at least 4 different exponent
properties to simplify, and use at least one number bigger than 12.
Once you come up with your problem write it below, then include the steps showing that it simplifies down
to the given expression. Once finished, write a paragraph explaining your thought process on how you
came up with your problem and which exponent properties are used to simplify it.

Answers

Answer:

i don't know but good luck with that

Step-by-step explanation:

sorry

Directions: Solve the problem
There are 46 learners in 7-Sampaguita class consisting of 17 boys and 29 girls
Express the ratio of the following
With
Solution​

Answers

Answer:

29:17

17:46

29:46

17:29

Step-by-step explanation:

In this problem, we are given three quantities and all we have to do is to write ratios relating two of them. Since all the numbers are relatively prime, we can no longer simplify the ratios.

Problem 1:

29 girls is to 17 boys

29:17

Problem 2:

17 boys is to 46 learners

17:46

Problem 3:

29 girls is to 46 learners

29:46

Problem 4:

17 boys is to 29 girls

17:29

In these problems, it's usually as simple as putting two or three numbers together and reducing them into simplest form.

(credits to ethananilovnorcio for the answer)

A triangle has sides that measure 2 units, 5 units, and 5.39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.


39 units2

25 units2

49 units2

12 units2

Answers

Answer:

12units²

Step-by-step explanation:

Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,

Perimeter of the triangle = 2 + 5 + 5.39

Perimeter of the triangle = 12.39units

since the circumference is equal to the perimeter of the triangle, hence;

C = 12.39units

C = 2πr

r is the radius of the circle

12.39 = 2(3.14)r

12.39 = 6.28r

r = 12.39/6.28

r = 1.973 units

Get the area

Area = πr²

Area of the circle = 3.14(1.973 )²

Area of the circle = 3.14(3.892)

Area of the circle = 12.22units²

Area of the circle ≈ 12units²

Answer:

D. 12 units2

pls help I will mark

Answers

Answer:

2x (2 or 2/1)

Step-by-step explanation:

The slope is 2/1, or 2x because the height between any two given intercepting points is two times higher than it is far.

Take for example the intercepting points at (6, 1) and (7, 3). Since slope is rise/run, the slope has risen 2 and 'run' 1. This makes the slope 2/1.

x/5 + 2 = 19 x______​

Answers

Answer:

47x=5

or 5/47

Step-by-step explanation:

Answer:

x=85

Step-by-step explanation:

x/5 + 2 = 19

5(x/5 + 2) = 5(19) *multiply both sides of the equation by 5 to get rid of the fraction

x + 10 = 95

x = 85 *subtract 10 on both sides

Check:

x/5 + 2 = 19

85/5 + 2 = 19

17 + 2 = 19

19 = 19

HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government

Answers

The answer is the first one . A

The correct answer is A

Betsy bought 10 pencils for $0.15 each, 8 notebooks for $1.50 each, and a book for $45.00.

Answers

$58.50 is the answer

Describe the meaning of y >_ 7.9 in words.

Answers

this means that y can be equal to 7.9 or any other number above

Other Questions
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