Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?

9x + 4y = 36

6x + 2.5y = 24

Answers

Answer 1

Answer:

solving we get Solution set = {4,0}

Step-by-step explanation:

We are given system of equation:

[tex]9x + 4y = 36---eq(1)\\6x + 2.5y = 24---eq(2)[/tex]

Multiply eq(1) by 2 and eq(2) by -3

[tex]18x \ \ + 8y \ \ \ = 72\\-18x - 7.5y = -72\\---------\\0.5y=0\\y=0[/tex]

We get y=0,

Now finding x by putting value of y in eq(1)

[tex]9x + 4y = 36\\9x+4(o)=36\\9x=36\\x=\frac{36}{9}\\x=4[/tex]

So, solving we get Solution set = {4,0}


Related Questions

HELP ASAP PLEASE WILL MARK BRAINIEST PLEASEEEEE

Answers

The last one is the answer.......

Answer:

D. 7 up and 5 left

Step-by-step explanation

Pick any letter and see how you can get it to match the same letter but on the other shape. Ex. letter A if you go up 7 and then go 5 to the left it will be at the exact spot as A'. Hope this helps

Answer this for me please

Answers

Answer:

-3

Step-by-step explanation:

You cant count the spaces up (9) and over (-3) between the two points and do up/over so it would be 9/-3 and simplified that is -3/1 or 3

Mr. Coyne sells cars as a part time job and works off commission. When he sold a car last week he made $500. The car's selling price was $17,250. What percent was Mr. Coyne's commission? (Round to the nearest whole percent)

Answers

Answer:

Commission percent = 3 % (Approx)

Step-by-step explanation:

Given:

Amount of commission = $500

Sales price of car = $17,250

Find:

Commission percent

Computation:

Commission percent = [Amount of commission/Sales price of car]100

Commission percent = [500/17,250]100

Commission percent = 2.89 %

Commission percent = 3 % (Approx)

In 2011, a professional climber scaled the outside of Burj Khalifa making it all the way to 828 meters in 6 hours. how far did they climb in the first 2 hours?

Answers

Given:

Professional climbers climb 828 meters in 6 hours.

To find:

how far did they climb in the first 2 hours?

Solution:

According to the question,

In 6 hours, they climb 828 meters.

In 1 hour, they climb [tex]\dfrac{828}{6}[/tex] meters.

In 2 hour, they climb [tex]2\times \dfrac{828}{6}[/tex] meters.

Now, the distance they climb in the first 2 hours is

[tex]\text{Climb in first two hours}=2\times \dfrac{828}{6}[/tex]

                                      [tex]=\dfrac{828}{3}[/tex]

                                      [tex]=276[/tex]

Therefore, they will climb 276 meters in first 2 hours.

Write the factors of 6 that sum to -5.

Answers

Answer:

-2 and -3

Step-by-step explanation:

a negative multiplied by a negative is a positive so -2 multiplied by -3 equals 6. And, -2 + -3 = -5

Find the value of f(5) for each function. f(x) = -2 (x + 1)

Answers

solution

f(x)= 1/(3x+1)

When f(5/3)

f(x)= 1/(3x+1)

f(5/3)= 1/(3(5/3)+1)

f(5/3)= 1/(5+1)

f(5/3)= 1/6

Solve for Angle DFE and Angle EDS in the diagram below:

Answers

Answer:

DFE = 23

EDS = 111

Step-by-step explanation:

Mathematically;

(3x-10) + 46 + 180 - (5x + 14) = 180

Reason for this is that sum of angles in a triangle is 180

Thus;

3x-10 + 46 - 5x-14 = 0

-2x + 22 = 0

2x = 22

x = 22/2 = 11

DFE = 3x - 10 = 3(11) - 10 = 33-10 = 23

EDS = 180 - (5x + 14) (sum of angles on a straight line)

180 - (5(11) + 14)

= 180 - 69

= 111

EDS

what is the rate of change of the following equation: y = 2x - 5

Answers

Answer:

the rate of change is 2 because it's had the variable

I agree the rate change is 2.

Five more than the product of a number and 9 is equal to 7.

Answers

Answer:

(X*9)+5=7

Step-by-step explanation:

Why do people say if you answer a question that they thank is really hard they say they will give you a brainiest?

Answers

Answer:

i don’t know

Step-by-step explanation:

i think they give points if you answer a question and i think it gives you lots of points so people will answer the question faster

BECAUSE THEY REALLY NEED HELP

Please tell me the answer and explain

Answers

Answer:

first box: 12

second box: 5.5

the boxes in chart in order is 12, 17.5, 23, 39.5

Step-by-step explanation:

I've done this before

20. An adult pass for the county fair costs $2 more than a children's pass. When 378 adult and
214 children passes were sold, the total revenue was $2384. What is the cost of an adult pass?

Answers

The answer to this question would be that an adult pass cost $4.75

Find the equation of the line parallel to y = x - 3 that also intersects the point (3,-2).

y = ( )x + ( )​

Answers

Answer:

Y= 1x+-5

Step-by-step explanation:

24,12,6,...
find the 8th term.

Answers

Answer:

a = 24

r = 1/2

8th term = ar^(n-1) = 24. (1/2)^-1/2

Answer:

0.188

Step-by-step explanation:

Have a good day :)

The sum of two numbers is less than 2. If we subtract the second number from the first, the difference is greater than 1. What are the two numbers?

Answers

Answer:

the value of these two numbers are 1/2 and 3/2

Step-by-step explanation:

Given that:

x+y < 2 ---- (1)

y - x > 1 ---- (2)

From equation (2), let y  > 1 + x then substitute it into equation (1)

x + 1 + x < 2

2x + 1 < 2

2x < 2 - 1

2x < 1

x < 1/2

From equation (2), replace the value of x to be 1/2

y - 1/2 > 1

y > 1 + 1/2

y > 3/2

All of the following expressions simplify to -5x + 7, except ( x - 2) - (6 x - 9) (5 x + 1) - (-10 x + 6) -4 x + 2 x + 7 - 3 x (4 x + 3) + (-9 x + 4) hurry will give brainlest

Answers

Answer:

(5 x + 1) - (-10 x + 6)

5x +1 + 10x - 6

25x - 5

Step-by-step explanation:

(x - 2) - (6x - 9)

x - 2 - 6x + 9 =

-5x +7

(5 x + 1) - (-10 x + 6)

5x +1 + 10x - 6

25x - 5

-4 x + 2 x + 7 - 3 x

-5x + 7

(4 x + 3) + (-9 x + 4)

4x +3 -9x + 4

-5x + 7

The Expression which not gives (-5x+ 7) is  (5 x + 1) - (-10 x + 6).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

1. (x - 2) - (6x - 9)

= x - 2 - 6x + 9

= -5x +7

2. (5 x + 1) - (-10 x + 6)

= 5x +1 + 10x - 6

= 25x - 5

3. -4 x + 2 x + 7 - 3 x

= -5x + 7

4. (4 x + 3) + (-9 x + 4)

= 4x +3 -9x + 4

= -5x + 7

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2


When the angle of elevation of the sun is 55°, a flagpole casts a shadow that is 16.8
feet long. What is the height of the flagpole to the nearest foot?

Answers

Answer: 24ft (rounded)

Step-by-step explanation:

WHATS THE DOMAIN ON THIS GRAPH?
Get it right and you get brainly and thanks and a face

Answers

Answer:

all real numbers?

Step-by-step explanation:

I'm pretty sure but prolly wait for another answer

Answer:

I think it is D

Step-by-step explanation:

They are all real number and it also pass the vertical line test

please help me out...​

Answers

Answer: B its associative property

Step-by-step explanation:

i have a feeling its B im sorry if im wrong

i also believe association property is the correct answer

Anyone know I’m having a hard time!

Answers

Answer:

x = [tex]\sqrt{30}[/tex]

Step-by-step explanation:

Applying altitude- on - hypotenuse theorem.

(leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 3 × (3 + 7) = 3 × 10 = 30 ( take square root of both sides )

x = [tex]\sqrt{30}[/tex]

What is the value of 2/3 / 5/6

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

will give you BRAINLEST

A 400 kg box and a 200 kg are to pushed across a horizontal table, the exact same distance with the exact force. Which box will have the most work done on it? Which box will get to the end first? Explain both of your responses.

Answers

Answer:

Both boxes have the same amount of work applied to them. The smaller box will get to the end first.

Step-by-step explanation:

For the 400 kg box, we can say,

force = 1 newton

force = mass*acceleration

1 = 400*acceleration

acceleration = 1/400 meters per second^2

acceleration = 0.0025 meters per second^2

Each second, the larger box's velocity is increasing by 0.0025 meters per second.

While the smaller box would have an acceleration of...

force = 1 newton

force = mass*acceleration

1 = 200*acceleration

acceleration = 1/200 meters per second^2

acceleration = 0.005 meters per second^2

Which is twice as much as the larger box.

Put simply: if the force applied is the same for the two boxes, then the smaller box will have larger acceleration. This is because more force is needed to push on the larger mass.

Because the smaller box has more acceleration, it will naturally travel faster compared to the larger box. Therefore, the smaller box reaches the goal line faster.

A bag contains 5 red marbles and 10 blue marbles. If Jen selects a marble from the bag without looking, what is the probability that she will not pull out a red marble?

Answers

Answer:

since there is more blue marbles in the bag, she will have a higher chance of pulling out a blue marble instead of red, since there are less red marbles she has a lower chance of getting a red marble.

Step-by-step explanation:

Which of the following pairs of numbers contains like fractions?
A.32 and 2/3
B.5/6 and 10/12
c. 6/7 and 157
D.312 and 4/4

Answers

Answer:

B.5/6 and 10/12

Step-by-step explanation:

   The given values are;

          [tex]\frac{5}{6}[/tex]   and  [tex]\frac{10}{12}[/tex]  

   [tex]\frac{10}{12}[/tex]  ,

    reducing to the smallest term by dividing by 2;

       is   [tex]\frac{5}{6}[/tex]  

So;

  [tex]\frac{5}{6}[/tex]   and  [tex]\frac{10}{12}[/tex]   are both like fractions.

Solve the following equation algebraically:
-16 = 16x^2 How many solutions does this equation have? Explain.
a. -1=x^2: One solution because only -1 will satisfy the equation.
b. -1=x^2: No real solution because there is no real number that, when squared, produces -1.
C. 1=x^2: Two solutions because the square root of 1 is positive 1 and negative 1.
d. 1=-x^2: One solution because only -1 will satisfy the equation.​

Answers

1=x²: two solutions because the square root of 1 is positive 1 and negative 1

Answer:

B. -1 = x^2; No real solution because there is no real number that, when squared, produces -1

Step-by-step explanation:

F(x)=7x-3 what is the value of x when f(x)=25

Answers

Answer:

x=4

Step-by-step explanation:

7x4=28 and 28-3=25

. Fiona has 18 red carnations, 27 white carnations, and 36 blue carnations. She wants to make arrangements of red, white, and blue carnations.She plans to use all of the flowers and to have the same number of each color in each arrangement. If she makes the greatest number of arrangements possible, then how many blue carnations will be in each arrangement?

Answers

Answer:

9 blue carnations.

Step-by-step explanation:

Given that,

Fiona has 18 red carnations, 27 white carnations, and 36 blue carnations. She wants to make arrangements of red, white, and blue carnations.

If she makes the greatest number of arrangements possible, then we need to find how many blue carnations will be in each arrangement.

Greatest possible arrangements = HCF of 18,27 and 36

The factors of 18 are: 1, 2, 3, 4, 6, 9, 12, 18,

The factors of 27 are: 1, 3,9,27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The greatest common factor = 9

For blue carnation,

B = (36/9) = 4

Hence, in each arrangements there are 9 blue carnations.

Helllpppppp me please

Answers

Answer:

The answer is 9 7/10

Step-by-step explanation:

hope this helps

Clare has 60% of her goal of $80 saved for her trip. How much did she save so far?

Answers

she has $48 saved meooeoc cwd pco

Which equation below and solution for X does the model represent??

A) 2x + 2x = 85, x = 42.50

B) 4 + x = 85, x = 21.25

C) x + x + x + x = 85, x = 21.00

D) 4x = 85, x = 21.25

Answers

Answer:

D) 4x=85, x=21.25

Step-by-step explanation:

If the total is 85$, and every shirt costs the same amount, then you would divide 85 by 4.

That will leave you with 21.25 per shirt.

Answer:

D) 4x = 85, x = 21.25

Step-by-step explanation:

D) 4x = 85, x = 21.25

4x = 85

4       4

x = 21.25

Other Questions
1.1 repeating decimal as a simplified fraction write an essay about importance of customs and traditions Which command provides the source reference on the last page of a document? A.Citation B.Endnote C.Footnote D.ReferencePLS help Combine like terms to create an equivalent expression. 2/5k - 3/5 + 1/10k Riddle, do not googleWhat can you hold in your right hand, but never in your left hand? Help plss I give you a brainliest A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag? Explain your reasoning. How did the northern United States change over time? Choose all pairs of points that are reflections of each other across both axes. A. (412, 1) and (1, 412) B. (2.5, 1) and (212, 1) C. (4.2, 1) and (2.4, 1) D. (1, 2.25) and (1, 214) E. (2, 213) and (2, 213) Please help! Ill give brainliest to whoever answers first :) Which trade bloc was created to encourage free trade and economiccooperation between Canada, Mexico, and the United States?A. CAFTA-DRB. NAFTAC. ASEAND. The EU A circles circumference is approximately 76cm. Estimate the radius, diameter and area of the circle. types of energy i really need this answer Determine if its a function or not how can e-group help in collaborating online Exit Ticket 12/011 of 1POSSIBLE POINTS: 100Last week, Mrs. Grant purchased a 3-pound package of strawberries for $6.84. This week she paid $10.24 for a 4-pound package of strawberriesWhat was the difference in the unit cost per pound that Mrs. Grant paid this week compared to last week? Question 8In the figure below, the area of Square 1 is 169 cm2 and the perimeter of Square 2 is 48 cm. What is the area of Square 3? 7. How does Anne's attitude towards her father change? What does this reveal about Anne (pg. 930)? Pleaseee, help meeeeeee this is the thinner layer of earth's lithosphere that forms the surface under the ocean basins