Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?

Solve The System Of Equations.2.5y + 3x = 275x 2.5y = 5What Equation Is The Result Of Adding The Two

Answers

Answer 1

Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

Answer 2

The equation results of adding the two equations is 8x = 32.

The solution to the system is (4, 6).

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, A system of linear equations in variables 'x' and 'y'.

2.5y + 3x = 27...(i) and 5x - 2.5y = 5...(ii)'

Reaaranging eqn(i) we have

3x + 2.5y = 27...(iii)

Adding (ii) and (ii) we have,

8x = 32.       (As + 2.5y and - 2.5y cancels)

x = 32/8.

x = 4.

Putting the value of 'x' in eqn(i) we have,

2.5y + 12 = 27.

2.5y = 15.

y = 6.

So, The solution to the system is (4, 6).

learn more about linear equations here :

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Related Questions

what is the fraction of 23%​

Answers

Answer:

23/100

Step-by-step explanation:

is this what u mean?

Answer: is 23/100

im rite

on

ma

mama

2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.

Answers

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

Can anyone help its due in 10 minuets!

Answers

Answer:

x=30⁰

Step-by-step explanation:

4x-55+3x+25=180

7x-30=180

7x=210

x=30⁰

Proof

3(30)+25=115

4(30)-55=65

115+65=180⁰

The question is in the image! Please help if u can its due really soon

Answers

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next

Answers

Answer:

Matching the population trend to a contributing factor:

Contributing Factors                                                 Population Trends

government-sponsored family control programs    Low birth rate

agricultural economies                                              increase in food supply

medical advancements                                             low death rate

Industrial Revolution                                                 high birth rate

Step-by-step explanation:

a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.

b) Defining population trends:

1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.

2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.

3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.

4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.

Answer:

The first one is children and adolescents

the second one is adults

the third one is pregnancy

the last one is indivisuals with brittle bones

Step-by-step explanation:

hope this helps :D

Factor the GCF: −14y2 + 12y − 22

Answers

Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?

Answers

Answer:

4miles

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.

What is the cost of a 3-mile ride?
$1
$10
$12
$14

Answers

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

The First-person to get correct will get BRAINLESIT

I think of a number, multiply it by four, and subtract three. I get eleven. a) Using the statement above, form an equation. Use the letter 'x' for the unknown number.
b) Solve the equation

Answers

The answer is X=3.5. 4 times 3.5 is 14-3 you get 11

What is the greatest common factor of 14, 51 ,21

Answers

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

What is the opposite integer of –(–7)?

Answers

-7

-(-7) is 7 because two negative signs result in a positive. The opposite integer of 7 is -7

9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.

Answers

the tree is 30 feet

Which set of points represents a function? { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) }

Answers

Given:

The set of points.

To find:

Which set of points represents a function?

Solution:

A set of points represents a function if there exist a unique y-value for each x-value.

It option A, the set of points is

{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}

This is not a function because there exist two y-values y=-5 and y=-2 for x=3.

It option B, the set of points is

{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}

This is a function because there exist a unique y-value for each x-value.

It option C, the set of points is

{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}

This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.

It option D, the set of points is

{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}

This is not a function because there exist two y-values y=-1 and y=1 for x=-3.

Therefore, the correct option is B.

Answer:

problem ...

Which of the following sets represents a function?

{(3, 5), (-1, 7), (3, 9)

{(1, 2), (3, 2), (5, 7)}

{(1, 2), (1, 4), (1, 6)}

Step-by-step explanation:i think is

{(1, 2), (3, 2), (5, 7)}

A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9

minutes. How long would it take for the pool to be completely drained? (1 point)

Answers

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

What is the slope of the line?

Answers

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

3/4 divided by 2/3 in simplest form

Answers

9/8 because in dividing you multiply by the reciprocal so 3/4 x 3/2= 9/8

Answer:

1 1/8

Step-by-step explanation:

1. Keep, change, flip

3/4 x 3/2

2. Multiply

3/4 x 3/2= 9/8

3. Simplify

9/8= 1/18

Please help!
Rewrite the rational exponent as a radical. (2 points)

Answers

Answer:

Answer: 3) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]

We should also recall that:

[tex](x^n)^m=x^{nm}[/tex]

We are given the expression:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]

Applying the power of power:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]

Simplifying:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]

Converting to radical form:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]

Answer: 3) [tex]\sqrt{5}[/tex]

(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *

Answers

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.

Answers

Answer:

7

Step-by-step explanation:

Mrs. Booker's meal at Chick-fil-A costs $16.78.
The tax on the meal is 6%. How much was her
total bill, including tax?

Answers

Answer:

17.79

Step-by-step explanation:

16.78*1.06=17.886

does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?

Answers

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

[tex]ax^2+bx+c[/tex]

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

[tex]a(x-h)^2+k[/tex]

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

[tex]a(x-p)(x-q)[/tex]

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

20 points
Need help ASAP!!!!!!!

Answers

Answer:

I can't see the assignment question. It says there is nothing attached...

Step-by-step explanation:

can you guys help me please ?

Answers

Answer:

4x + 12 = -4

4x = -16

x = -4

Step-by-step explanation:

Have a great day :)

Students had two options for lunch, either a taco salad or a hot dog.

The ratio of taco salads to hot dogs is 3:1.

If a total of 80 lunches were served, how many were hot dogs?

Answers

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?

(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2

Answers

(9x+8y)^2 =(9x)^2+2x(9x)x(8y)+(8y)^2

In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.

Answers

Answer:

The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).

ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])

iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])

iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Leila was asked to solve the equation 2 over 3 left parenthesis x plus 5 right parenthesis equals 29. The first step she did to solve the equation was 2 over 3 left parenthesis x right parenthesis plus 2 over 3 left parenthesis 5 right parenthesis equals 29. What property did she use in this step?

A.associative

B.commutative

C.distributive

D.reflexive
Which answer is right !

Answers

C. Distributive law.

Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution

Answers

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

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What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?(9x 8y)2(9x + 8y)2(3x 4y)2(3x + 4y)2 PLZ HELP!The rights to vote, petition, and assembly are all examples of which type of citizens rights?A.educationalB.politicalC.personalD.economicPlease select the best answer from the choices provided explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic? Elmo will rule the world that are the ways he will? How many countries were their before WW1 started? what are some things that people value that have to do with their work lives? 1. In what way has the Human Genome Project been useful in the field of criminology?It has traced the background of famous criminals.It has helped solve crimes by identifying previously anonymous samples.It has shown that there may be genes related to repeated criminal behavior.It has allowed criminologists to look at the DNA of famous criminals. I need the answer quickly in the revolt of 1857 , ahmadullah shah who belonged to faizabad came to fight in Jarvis is a coffee farmer who wants to hedge his entire coffee crop that will be harvested by September. The December coffee contract (which consists of 37,500 pounds of coffee) is trading at $2.00 per pound, which the farmer views as a profitable price. To hedge the entire crop, which is expected to weigh 150,000 pounds, at the best price, Jarvis should: A boy throws a tell ball straight up . disregarding any effects of air resistance, the forces acting 9n the ball untill it returns to the ground is are MEAnd what you know about love Students had two options for lunch, either a taco salad or a hot dog. The ratio of taco salads to hot dogs is 3:1.If a total of 80 lunches were served, how many were hot dogs? Which of the following were Americans NOT doing during the Roaring Twenties?A)using credit to buy homes and carsB)saving money to invest in the futureC)enjoying spending spreesD)spending on modern conveniencesMAKE YOU BRAINLY What were some Of the key takeaways from the scientific revolution That might greatly inspire the enlightenment . A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles? Which sentence is written correctly?A.Joshua falls when he stood up because someone tied his shoes together.B.Joshua falling when he stood up because someone tied his shoes together.C.Joshua falled when he stood up because someone tied his shoes together.D.Joshua fell when he stood up because someone tied his shoes together. At the end of this selection of the book, the creature says "The sun is yet high in the heavens, before it descends to hide itself behind your snowy precipices andilluminate another world, you will have heard my story and can decide. On you it rests, whether I quit forever the neighbourhood of man and lead a harmless life, orbecome the scourge of your fellow creatures and the author of your own speedy ruin."This is an example of1.rhetoric2.indirect foreshadowing3.direct foreshadowing 4.symbolism 9.A tree casts a shadow 36 feet long atthe same time a boy 5 feet tall casts ashadow 4 feet long. Find, in feet, theheight of the tree. solve for x -1.5x - 3.1 < 5.5