Solve each system of equations by substitution
x + 4y = 19
x - 2y = 1

What is the product of x and y ?

Solve Each System Of Equations By Substitution X + 4y = 19x - 2y = 1What Is The Product Of X And Y ?

Answers

Answer 1
x + 4y = 19
x = 19 - 4y

*substitute it for the second equation*
x - 2y = 1
19 - 4y - 2y = 1
19 - 6y = 1
-6y = -18
y = 3

x + 4y = 19
x + 12 = 19
x = 7

x.y = 3.7 = 21
Answer 2

The value of product of x and y is, 21

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

WE have to given that;

System of equation ae,

x + 4y = 19  .. (i)

x - 2y = 1 .. (ii)

From (i);

x + 4y = 19

x = 19 - 4y

substitute it for the (ii) equation;

x - 2y = 1

19 - 4y - 2y = 1

19 - 6y = 1

-6y = -18

y = 3

Hence, From (i);

x + 4y = 19

x + 12 = 19

x = 7

So, The value of product of x and y is,

x × y = 3 × 7 = 21

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2


Related Questions

4(3x - 2 + 1 ) + 23 + 2x

Answers

Step-by-step explanation:

first you distribute

12x - 8 + 4 +23 +2x

than you add the numbers without the variable so...

-8+4+23= 19

Add the # with variables

12x+2x= 14×

then you get

14x=19

divide by 14 in each side

x=1.4

A poll conducted in 2013 found that 55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.2%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context. (please round all percentages to 2 decimal places)

Answers

Answer:

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.

Step-by-step explanation:

Confidence interval:

A confidence interval has the following format:

[tex]M \pm zs[/tex]

In which M is the sample mean, z is related to the confidence level and s is the standard error.

55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.2%.

This means that [tex]M = 55, s = 2.2[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

Lower bound of the interval:

[tex]M - zs = 55 - 2.575*2.2 = 49.34[/tex]

Upper bound:

[tex]M + zs = 55 + 2.575*2.2 = 60.66[/tex]

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.

I need help PlEaSeEe
Bethany has a sticker book with 200 pages.
Each sticker takes up 1/8 page. How many stickers can she put in the book?

A.
250 stickers

B.
25 stickers

C.
1,600 stickers

D.
1,000 stickers

Answers

Answer:

25 stickers.

Step-by-step explanation:

I hope this helps! Maybe you can mark this brainly? Hope you have a amazing day! <3

13. You are buying plants and soil for your garden. The soil costs $4.00 per bag and the plants cost $10.00 each. You want to buy at least 5 plants and can spend no more than $100.00 total

Answers

Answer:

Part a) The system of linear inequalities is

y\geq 5y≥5

4x+10y\leq 1004x+10y≤100

Part b) The graph in the attached figure

Part c) A solution could be (5,7) (see the explanation)

Step-by-step explanation:

The complete question is

You are buying plants and soil for your garden. The soil cost 4.00 dollars per bag and the plants cost 10.00 each. You want to buy at least 5 plants and can spend no more than10.00each.Youwanttobuyatleast5plantsandcanspendnomorethan100

a) write a system of linear inequalities to model the situation

b) Graph the system of linear inequalities

c) Identify and interpret a solution to the system

Part a) write a system of linear inequalities to model the situation

Let

x -----> the number of bags of soil

y ----> number of plants

we know that

The word "at least" means "greater than or equal"

y\geq 5y≥5 ----> inequality A

The word "no more" means "less than or equal"

4x+10y\leq 1004x+10y≤100 ----> inequality B

Part b) Graph the system of linear inequalities

we have

y\geq 5y≥5 ----> inequality A

4x+10y\leq 1004x+10y≤100 ----> inequality B

using a graphing tool

the solution is the triangular shaded area

see the attached figure

Part c) Identify and interpret a solution to the system

we know that

If a ordered pair is a solution to the system, then the ordered pair must lie on the shaded area of the solution

i take the point (5,7)

the point (5,7) lie on the shaded area of the solution

so

is a solution of the system

That means ----> You are buying 5 bags of soil and 7 plants for your garden

Verify the solution

Remember

If a ordered pair is a solution to the system, then the ordered pair must satisfy both inequalities

Verify inequality A

7\geq 57≥5  ----> is true

so

The ordered pair (5,7) satisfy inequality A

Verify inequality B

4(5)+10(7)\leq 1004(5)+10(7)≤100

90\leq 10090≤100 ---> is true

so

The ordered pair (5,7) satisfy inequality B

therefore

The ordered pair (5,7) is a solution to the system

Use Euler’s formula to write -12 sqrt3 +12i in exponential form

Answers

Should be D on edge. 24e i 5pi/6, Or

649-14-07-00-00_files/i0150005,jpg(image name)

1. The snow pack on Mt. Hood in the Oregon Cascades was 150 inches on
January 15th. Based on data taken in previous years, the snow pack decreases
about 11 inches a week after January 15th. What would be the rate of change?

Answers

Answer:

The rate of change is 10%

Step-by-step explanation:

The computation of the rate of change is as follows:

Given that as on Jan 15, the snow pack is 150 inches

And, the last year, it would decrease by 11 inches a week after jan 15

So, the rate of change is

= 15 ÷ 150

= 10%

At a sale, Ricardo bought 24 reams of paper and 4 inkjet cartridges for $320. Britney bought 2 reams of paper and 1 inkjet cartridge for $50. The rams of paper were all the same price and the inkjet cartridges were all the same price. Write a system of equations to represent this situation. Determine the best method to solve the system of equations. Then solve the system.

Answers

Answer: 7.50 in paper and 35 in ink.

Step-by-step explanation:

GIVING 100 PTS AFTER ITS SOLVED I WILL GIVE BECAUSE I CANT TRUST

Answers

Answer: A

Step-by-step explanation

bc it seemed legit-

Answer:

A.

Step-by-step explanation:

wish u would have got better grade

Is the given value a solution of the inequality?

2 + s ≥ 10; s = 7

14 – r < 9; r = 6

j – 11 ≥ 20; j = 32

t + 6 > 40; t = 35

show work pls

Answers

Answer:

35

Step-by-step explanation:

-7x-4y=18
y=-5x-24

solve for x and y (show work)

Answers

Answer:

ima answer it but first how do i show the work

Step-by-step explanation:

Answer:

(-6, 6)

x=-6, y=6

Step-by-step explanation:

The easiest way to solve for this is by substitution. This means substituting y with -5x-24 in the first equation. It gives you the same variables and is easy to work with.

1. Set up your equation: -7x-4(-5x-24)=18

2. Use the distribution property: -7x+20x+96=18

3. Add like terms: 13x+96=18

4. Subtract 96 from both sides: 13x=-78

5. Divide by 13 to get x alone: x=-6

Now that we have x, we can find y much easier by plugging in -6 for x.

1. Set up your equation: -5(-6)-24=y

2. Multiply: 30-24=y

3. Subtract: 6=y

Check your answers!

-7(-6)-4(6)=18

-5(-6)-24=6

There you go! Hope this helped :)

SOMEONE PLEASE HELP ASAP

I do not understand how to answer this and it’s very confusing.

Answers

I think it’s d please give me brainliest

Lines A and B are parellel. Find the measures of angles 1,2,3​

Answers

Answer:

Angle 1 = 33°Angle 2 = 90°Angle 3 = 57°

Step-by-step explanation:

Hope this will help you lot.

please solve for me 25(7-10+3)=4​

Answers

this statement is false.

Write a quadratic function that reflects the x axis, stretches by a factor of 5, and shifts left 6 and up 3

Answers

Answer:

y=(x+6)^5+3

Step-by-step explanation:

How many ways can the letters of the word “TRIANGLE” be arranged if the
first three letters must be “RAN” (in exact order)

Answers

range
rang
rant ((((:

HELP PLEASE WILL MARL BRANIEST IF right

Answers

Answer:

A bit of a doosy, but bare with me: f*g*h(x) = [tex]x^2+54x-12x\sqrt{x} -108\sqrt{x} +90[/tex]

Step-by-step explanation:

So explaining this is a bit awkward as well, but I can try...So

Starting from g(x) working that backwards into f(x), so...

g(x) = [tex]x-3[/tex]

f(x) = [tex](x^4+9)[/tex]

Take your g(x) and plug it into your f(x) into every x you see

f(g(x)) = [tex](x-3)^4+9[/tex] ~ I hope you can visualize this, but do you see how g(x) plugs into f(x)...

Now you still have one more step which you still need to include h(x), so

Remember h(x) = [tex]\sqrt{x}[/tex]

Now plug in your h(x) into every x you see from f(g(x)) and it should look like...

[tex](\sqrt{x} -3)^4 + 9[/tex]

In a deck of 52 cards there are 2 jokers and 4 each of the number cards 1-10. The probability of picking a joker is 2 out of 52 or 2/52. Write as a fraction, the probability of drawing a number 7 card.​

Answers

Answer:

1/13

Step-by-step explanation:

The number 7 cards= 4 of them

Total number of cards= 52

4/52 are 7's

Simplify 4/52>>>>2/26>>>>1/13

Hope this helped! Please give a brainly if you can <33

Monica has a cylindrical container full of marbles. The container is shown below.
10 cm
The height of the container is approximately 12 centimeters. Which is closest to
the volume of Monica's container, in cubic centimeters?

Answers

Answer:

Area of a circle is  pi * [tex]r^{2}[/tex]

then multiply that by the height

Step-by-step explanation:

diameter = 10

radius is   diameter / 2

r = 10/2 = 5

A = pi * [tex]5^{2}[/tex]

A = 78.5398

height * A = volume

12 * 78.5398 = 942.477

So about 942  , answer 3 looks right  :)   sorry I got to your question late, send me a note , when you have a question, so I'll see  :)

Find the measure of a 6.
102
78
46 = [?]

Answers

Answer:

102°

Step-by-step explanation:

They're still corresponding angles... have you read any of these explanations?...

Please help I WILL OFFER 20 POINTS! - Keisha, Bob, and Tom sent a total of 132 text messages over their cell phones during the weekend. Bob sent 3 times as many messages as Tom. Tom sent 7 fewer messages than Keisha. How many messages did they each send?

Answers

Answer:

Tom: 132 Bob: 396 Keisha: 139

Step-by-step explanation:

132 x 3

132 + 7

Four people applied for a job as an assistant manager at a store. Only two of these people will be hired.

Answers

Answer:

50% of the applicants will be hired.

Step-by-step explanation:

Given that four people applied for a job as an assistant manager at a store, but only two of these people will be hired, the following calculation must be performed to determine the percentage of people who will enter the job:

4 - 2 = 2

4 = 100

2 = X

2 x 100/4 = X

200/4 = X

50 = X

Thus, 50% of the applicants will enter the job.

. The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces free all motors that fail while under guarantee. If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer

Answers

Answer:

She should offer a guarantee of 13.76 years.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.

This means that [tex]\mu = 10, \sigma = 2[/tex]

If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?

She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.88 = \frac{X - 10}{2}[/tex]

[tex]X - 10 = 2*1.88[/tex]

[tex]X = 13.76[/tex]

She should offer a guarantee of 13.76 years.

HELP THIS IS DUE SOON

Answers

There should be 40 pages

Answer:

the book has 40 pages

Step-by-step explanation:

so he has read 90 percent and has 4 pages left. So 10 percent is 4 pages.

10 times 10 is 100. 4 times 10 is 40. The entire book is 40 pages.

10 percent equals 4 pages

20 percent percent 8 pages

30 percent  is 12 pages

40 percent is 16 pages

50 percent is 20 pages

60 percent is 24 pages

70 percent is 28 pages

80 percent is 32 pages

90 percent is 36 pages

100 percent is 40 pages

please help! I’m failing math and I never pay attention and I’m so confused on this one question if anybody cloud may I have the answer

this is the question⬇️⬇️⬇️


a snowplow driver cleared 20 streets in 55 minutes. How fast did he clear each street.

Answers

Answer:

2.75 minutes

Step-by-step

divide 55 by 20

Answer:

2.75 minutes/2 minutes and 45 seconds

Step-by-step explanation:

Divide: 55 divided by 20=2.75

2.75 minutes= 2 minutes and 45 seconds

The reason why you divide 55 divided by 20 is because you are trying to find how long it took you to clear 1 street.

And there are 20 streets and each street took you 2 minutes and 45 minutes to complete 1 street.

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

PLEASE HELP NOW I NEED TO KNOW THIS OR ILL HAVE TO GO TO SUMMER SCHOOL!!!!!!!

Answers

Answer:

BXZ= 75

AYX=44

B= 61

Step-by-step explanation:

B=180-(75+44)

=61

they are all equal.

Pllzz help me I am timed!

Answers

Answer:

prism, 6 vertices, 9 edges

Step-by-step explanation:

prism, 6 vertices, 9 edges

prism, 6 vertices, 9 edges

prism, 6 vertices, 9 edges

can someone please help me!! PLEASE

Answers

Answer:

7a) y = [tex]\frac{1273x}{5}[/tex]

b) this equation means that for every 5 minutes the tram is an additional 1,273 feet above base

c) the first quadrant has 'x' and 'y' values that are positive and only positive values can be used to represent elevation above base and time

Step-by-step explanation:

Jorge is making 6 large salads

Answers

Answer:

what is the rest of your question haha

Step-by-step explanation:

Answer: Jorge makes 6 large salads

in a classroom of 1/6 of the students were wearing blue and 2/3 are wearing white there are thirty six students in the class how many students are wearing a shirt other than blue or white

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

HELP PLS THIS IS DUE SOON- Btw its 7th grade math

Answers

Answer:

20 salads

Step-by-step explanation:

25% = 5

55%+20%=75%

75%=15

15+5=20

Answer:

20 salads

Step-by-step explanation:

25/5 = 5

55/5 = 11

20/5 = 4

5+11+4= 20 salads

Other Questions
Can anyone answer this (show your work) 1. Mrs. Bautista has a bank balance of -42 dollars at the start of the month. After shedeposits 6 dollars, what is the new balance? Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. Howmuch does Morgan have in her account now? Suppose virus A has a viral genome of 19,000 bp, and 10,000,000,000 viruses are replicated in an infected individual in a single day. Assume that a single mutation at a particular location in the virus A genome is needed for virus A to develop antiviral drug resistance to ledipasvir. The mutation can be a transition or transversion mutation. If RNA polymerase introduces an error in 1 of every 10,000 bases synthesized, how long will it take for virus A to overcome ledipasvir therapy and develop resistance? Round your answer up to a whole number of days. What did Napoleon do in 1789? How are 1 and 4 related *please help* the average length of a female dophin is 234 incheswhat is the answer in feet and inches Grayson has a relative humidity of 65%. Miami, Florida has a relative humidity of 95%. Which city is most likely to have rain & why? *A. Grayson because humidity levels around 50% cause rain.B. Grayson because the lower the humidity the greater the chance of rain.C. Miami because humidity near 100% is more likely to cause rain.D. Miami because it is near the ocean. Why do some candidates for president receive more media coverage than others?A.The media can only cover those viewed as legitimate contenders because there are often dozens of candidates in the early stages of the election.B.More coverage is given to candidates who are physically attractive even if they cannot win the election.C.Candidates who have views that support the interests of the media get more coverage than those who do not.D.Those candidates who are not in the lead receive more coverage in an attempt to make sure that Americans are aware of everyone running for office.Please select the best answer from the choices providedABCD The graph of the parent function f(x) = x is translated to form the graph of g(x) = (x - 4) 3 - 7. The point (0, 0) on thegraph of f) corresponds to which point on the graph of g(x)? Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get from the ground to the entrance of the building. In order to follow the state building code, the angle formed by the ramp and the ground cannot exceed 4.75.Mr. Gow plans from the planning department that call for the ramp to start 25 feet away from the building code? a. Draw an appropiate diagram. Add all the measurements you can. What does Mr. Gow need to find?b. According to the plan in part (a), what angle will the ramp make with the ground? Will the ramp be to code?c. If Mr. Gow builds the ramp exactly to code, how long will the ramp be? In other words, at least how far from the building must the ramp start in order to meet the building code? Show all work.(NOT A MULTIPLE CHOICE) list and explain five functions of town and villages What is the prepositional phrase in the following sentence? "The bear cub became trapped inside the trashcan."A. TrappedB. Inside the trashcanC. The Bear CubD. Became Trapped If you consider the herbs, plants, stones and earth that Friar Lawrence talks about in his speech as a metaphor, what could it be a metaphor for? Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 5.00 times the mass of B, and the energy stored in the spring was 46 J. Assume that the spring has negligible mass and that all its stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of each particle? The highlighted areas represent bases. What is the lateral surface areaof the shape?Help me please I need to pass this test What happens during the stage labeled 6?A. Young male cones produce spores using meiosis.B. Young female cones produce spores from cells that divide using meiosis.C. A spore divides and grows into a pollen grain using mitosisD. A seed that contains an embryo plant grows into a young pine tree.EXPLAIN THE ANSWER Which of the following is an example of gas in liquid solution?A. CoffeeB. MilkC. Diet CokeD. Salt Water En la ciudad la temperatura en la noche fue de 2 grados sobre cero y en la madrugada lleg a 12 grados bajo cero. Qu diferencia de temperaturas hubo en esas horas? Please do this. I am rather on a tight schedule. No fake answers, links or I dont know.Thank you, have a great day.lol much anxious.