Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?

Answers

Answer 1

Answer:

Jacob is 4 years old and his mother is 40 years old.

Step-by-step explanation:

Part 1: The linear equations are  and

Part 2: Solving the equations, we have,  and

Part 3: Jacob is 4 years old and his mother is 40 years old.

Explanation:

Part 1: Let j represent Jacob's age, and let m represent his mother's age.

It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,

It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,

Simplifying this, we get,

Thus, the linear equation is

The linear equations are   and

Part 2: Solving the linear equation, we get,

Substituting  in

Simplifying, we get,

Hence,

Substituting  in

Solving the equations, we have,  and

Part 3: Since, j represents jacob and m represents the jacob's mother

Thus, Jacob is 4 years old and his mother is 40 years old.

Answer 2
Jacob - 4 years old
The Mother - 40 years old

Related Questions

PLSSS HELPPP! I will give brainliest and 11 points!!

Answers

Answer:

B:

4 units right and six units up

B is the right answer

sort the following numbers from least to greatest.
18.5635, 18 13/16, 18.3125

Answers

Answer:

18.3125

18.5635

18 13/16

Step-by-step explanation:

18.3125

18.5635

18 13/16

What is the volume of the following rectangular prism?


I’m doing this on khan academy and I keep failing the test. Now I’m scared of getting questions wrong

Answers

Answer:

8 1/8

Step-by-step explanation:

V = 16 1/4 • 1/2

V = 8 1/8

Answer:

8 1/8 units³

Step-by-step explanation:

V = lwh

Since the area is already given to you, just multiply that by the other number.

[tex]V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}[/tex]

Kindly Please Help....
You will need to make make a frequency distribution table and represent it in a bar graph creatively. (5 different forests in India)

Answers

Answer:

1st- thorn forest - forest which have many thorns it is in rajasthan

2nd- evergreen forest - a forest whose trees are green in any season

3rd- Amazon forest - in Amazon forests there are many venomous/ poisonous amphibians and stuff like anacondas and wild animals.

Step-by-step explanation:

so sorry this is all i could find

Step by step plz on how to do this

Answers

Answer:

x=3

Step-by-step explanation:

Step 1: you have to replace y with x-6 to make it all one equation (as seen in the picture below)  

Step 2: write it all together so: x-6= -2x+3

Step 3: add 2x on both sides to cancel out the negative so: x+ 2x and -2x+2x

Step 4: add 6 on both sides to cancel out the negative so: -6+ 6 and 3+6

Step 5: divide 3 by 3x and 9 to get x

X = 3 had to put this for points

An adult ticket is twice the cost of a child's ticket. Angela paid $ 28 for two adult tickets and three children's tickets. Which of the
following equations could be used to find the price of a child's ticket?
(A) x + 2x = 28
(B) 3x + 2(2x) = 28
(C)3(2x) + 2x = 28
(D) 3x + 2x = 28

Answers

B = 3 x + 2 ( 2x ) = 28

The following equations could be used to find the price of a child's ticket,  3x + 2(2x) = 28, the correct option is B.

What is an Equation?

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the cost of child ticket is $x

An adult ticket is twice the cost of a child's ticket.

Let the cost of adult ticket is $2x

The total amount Angela paid is $28 for two adult tickets and three children's tickets.

The equation that will be formed is

4x + 3x = 28

It can also be written as 3x + 2(2x) = 28.

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent? ​
rock-12
classic rock-4
county-18
jazz-2
heavy metal-6​

Answers

6/12, 2/4, 2/18, 2/12
These are equivalent because in a way they equal each other with division
6/12, 2/4, 2/18, 2/12

please hlep me its ixl

Answers

Answer:

D

Step-by-step explanation:

D is the answer I did the math.

Hope this helps!

Answer:

d

Step-by-step explanation:

6th grade Geometry, please help it's due soon!

Answers

Answer:

1. ABO, 2. OCD

Step-by-step explanation:

Since they have the same degrees of angles.

EX: <OA, <BO, <CO, <DO.

(IF I AM NOT RIGHT OR I AM LOSING THE DETAIL WANTED, PLEASE LIST OUT IN THE COMMENT BELOW THE ANSWER AND I WILL CHANGE IT.)

: ) Just to make it look bolder.

OCD and OAB
since they use the same angles they are congruent

:))

SOLVE OR SIMPLIFY THIS!! 4(2x+7)=12-2(10-2x)

Answers

Answer:

-3

Step-by-step explanation:

8x+28=12-20-4x

8x+4x=-8-28

12x=-36

x=-3

PLS MARK AS BRAINLIEST

first, distribute the 4 and -2.
8x+28= 12-20+4x

simplify
8x+28=4x-8

subtract 4 and subtract 28 to get them on opposite sides
4x= -36

divide by 4
X= -9

Please whoever knows they can solve this, help!

I have attached the question down below. Please explain in detail and diagrams if the question permits you to do so. Thank you. I will also be marking the brainiest.

Answers

I can’t see the question I think you forgot to upload it
explanation:

Answer:Can't see the question

Step-by-step explanation:

Write this in equation form!!!

Two less than the product of 5 and a number is -12


PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIESY

Answers

Answer:

(5x) - 2 = -12

Step-by-step explanation:

hope that helps

Answer:

-12

Step-by-step explanation:

HELP MEEEEEEE PLSSSS

Answers

A,C,D is the answer
Should be A,C,D.
Hope I helped

100 POINTS
My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it

Answers

Answer:

1/4

Step-by-step explanation:

Let's suppose that your house is located at (0,0)

1 block south from here puts you at (0, -1/16)

1 block east from here now puts you at (1/16, -1/16)

5 blocks north from here puts you at (1/16, 4/16)

2 blocks east from here puts you at (3/16, 4/16)

You have traveled (1/16) ( 1 + 1 + 5 + 2) = 9 / 16 of a mile

The "straightline" distance between (0, 0) and (3/16, 4/16) =

sqrt [ (3/16^2 + (4/16)^2 ] = sqrt [ 25 / 256] = 5/16 of a mile

Your trip would be { 9/16 - 5/16 } equals 4/16 and simplifies equals 1/4 of a mile.

Goodluck and I hope this helped!

For the equation, determine whether the equation is true for all, some, or no values of x.

Explain how you know.

Answers

Answer:

You can check if an equation is true for all some or no values of x by simply to  try and solve the equation if you get something like x = x, then the equation  is true for all, if you get a specific answer like x=3, then it is true to some values, in simple terms. Try and solve the equation there is no other way to check unless you solve, I don't know if there is another way but this is just my intution.  

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

111

Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks?

Answers

Answer:

$116.06

Step-by-step explanation:

48.97 + 67.09 = 116.06

Answer:

$116,06

Step-by-step explanation:

48,97 + 67,09

Using the GCF and distributive property, which expressions is equivalent (equal) to 12y + 16

A 2(6y + 80)

B 4(3y + 4)

C 28y

D 16 + 12y

Answers

Answer:

4(3y+4)

Step-by-step explanation:

12y + 16

4*3*y +4*4

Factor out 4

4(3y+4)

Answer:

2(6y+80) = 12y+160

4(3y+4) = 12y+16

28y = 28y

16+12y = 12y+16 (did not use distributive property)

So,  B is correct.

Let me know if this helps!

For the equation, determine whether the equation is true for all, some, or no values of x.

Explain how you know.

−3x=x×−3

Answers

Answer:

nothing can be further done with this topic. please check the expression entered or submit a picture for futher understanding

Step-by-step explanation:

It would be true for all values of x. If you multiply out the right hand side, you would get -3x = -3x. Dividing both sides by -3 gives you x=x, which is always true.

Hope this helps!

Please help me asap! I will give brainly!

Answers

Answer:

Figure 4 : 9 by 4 rectangle

17 red squares is figure 8

51 yellow squares

The pattern is +2 for the length, and the width stays the same. Hope this helped. :)

Answer:

17 rojo

51 amarillo

en el dibujo son 11 rojos y 33 amarillo

Step-by-step eplanation:

PLEASE HELP SOON AND TRY TO EXPLAIN.
Prove that if a, b, c, d are non zero real numbers, not all equal, and if a+1/b=b+1/c=c+1/d=d+1/a then |abcd|=1. Thx!

Answers

Answer:

because any number over 0 is 0 and if   |abcd|=1 that it is not possible to be 0

Step-by-step explanation:

It’s possible it could be zero but it could also be one

Please help! I will give brainly

Answers

15x12=180
180$ simple unless u have a different way to do it

Answer:

y=15x+25, the cost is 205 dollars

Step-by-step explanation:

The simplest way to write a rule for this is to write it in slope intercept form, y=mx+b. Let y represent the cost of the membership. Every month the cost is 15 dollars. If we let x represent the months we can rewrite this as 15x. The one time cost is 25 dollars so we can just add that to the end of the equation. y=15x+25. There are 12 months in a year so we just have to substitute. y=15(20)+25=205 so the answer is 205 dollars.

help pls :( I only need one question to pass

Answers

Answer:

The 3rd semi-circle equals 31.

Step-by-step explanation:

Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.

the answer to this question is 31 the area of the A3 is 31

Which list shows the order of the numbers from greatest to least? List 1: 2.3, 2.03, 2.5, 0.25 List 2: 0.25, 2.5, 2.03, 2.3 List 3: 2.03, 2.3, 2.5, 0.25 List 4: 2.5, 2.3, 2.03, 0.25

Answers

Answer:

4

Step-by-step explanation:

2.5, 2.3, 2.03, .25

List 4!
2.5,2.3,2.03,0.25

Someone please help me with this :,D

Answers

Answer:

A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?

Answer:

It's the second answer

Step-by-step explanation:

It's the second question because the pattern is that the amount of food coloring is always 3 times more then the amount of frosting so it's point M because the amount of frosting is 50 so the amount of food coloring has to be 150 according to the ratio.

3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1

Answers

3-4=-7m+m+2m+5m
-1=m
Answer:
m=-1
-5m + 3 - 2m = -7m + 4 + m
-5m -2m +7m -m = -3 +4
-m = 1
m = 1

1
Mrs. Johnson wants to give items to her afterschool group. She has 36 prizes and 24 ballons. What is the greatest number of children she can have in her group so that each child gets equal number of prizes, and an equal number of ballons?
2
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again. (Only write the minutes.)

Answers

Answer:

1) 12

2) 72

Step-by-step explanation:

1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.

2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.

Answer:

1. 12 children

2. 72 minutes

Step-by-step explanation:

1. Find the GCF of 36 and 24, which is 12

2. Find the LCM of 18 and 24, which is 72

Answer yes ooh ooh ahaha

Answers

Answer:

probably first one but i might be wrong

Step-by-step explanation:

if it has line under its filled circle and the direction the point is facing is where line goes

Answer:

1

Step-by-step explanation:

What is the volume of this rectangular prism?
Is it 3/2 x 1/4 x 5/3??

Answers

Volume = length x width x height

Volume = 3/2 x 1/4 x 5/3

3/2 x 1/4 = 3/8

3/8 x 5/3 = 15/24

Volume = 15/24 cm^3

Answer: 15/24

Step-by-step explanation:

3/2 x 1/4 x 5/3

fr33 p0ints/ umm? please help me with this question

Answers

Last choice Bc -1.5 is x value so go right and -1 is y value that goes down Bc it’s negative
A because negative means moves to the right when it comes to x axis and when it comes to y axis you move down the amount of spaces. if positive on x axis move right and positive on y axis move up

Help!!
I need help with my math!!

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

50+75=125
125-180=55
The answer equal to 55
Other Questions
HELP ME PLZ I WILL GIVE BRAINLY PLUS 50 POINTSMatch the following terms with their definitions.Terms:crusadersMontezumaFerdindandCortesBalboaGenoaPizzaroMagellanVespucciDefinitions:The man for who the New world namedruler of the Aztecsdiscovered the pacific oceanfirst to sail around the worldconquered the Aztecs of Mexicoconquered the Incas of Peruking of spainattempted to free Jerusalemhome town of Chris Columbus Domain and range of g(x)= 5x-3/2x+1Solve for domain and range? What is the common ratio of the geometric a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package The fuel efficiency of a vehicle is 28 miles per gallon and gasoline cost 2.25 per gallon. What is the cost per mile to drive the vehicle? what are the properety of covalent bond Circle the verbs in these sentences:1. The car stopped in front of the house.2. We went to the movies on Friday after school.3. Our teacher gave us a funny book to read.4. The girls walked in front of the boys.5. The wind blew our hats off of our heads. Please help!!!!CE is tangent to this circle, CD is a radius and ECB=48 what is BAC 1. Find the volume of the shipping box using the two methods and show your work plzzzzzzzz i neeeeeeeeeeeeeed help Mt i kh tng thy vn mun xem xt kh nng d bo thi tit ca mnh. T s liu thng k ch ra rng: xc sut d bo c nng trong ngy khng ma l 0,95; c nng trong ngy ma l 0,8; xc sut mt ngy s khng ma l 0,6. a. Tnh xc sut d bo ngy s c nng. b. Bit c d bo l ngy c nng, tnh xc sut ngy l ngy khng ma. Which of the relations given by the following sets of ordered pairs is a function?o {(5,2), ( - 4, 2), (3,6), (0,4), (- 1, 2)}o {(5, 4), (5, 6), (5,8), (5, 10), (5, 12)}{(-3, - 2), ( - 2, 1), (0, - 1), (0, 1), (1, 2)}{(7,3), ( 6,8), ( 3,5), (0, 3), (7, 11)} A man was negligently driving down the road, not paying attention to where he was going. Because of this, he hit and seriously injured a pedestrian who was lawfully crossing the street. The accident was witnessed by the pedestrian's friend who was standing on the sidewalk. As a result of seeing the pedestrian injured, her friend suffered extreme emotional distress that physically affected her nervous system. The friend brings suit against the driver for negligent infliction of emotional distress in a jurisdiction that has adopted the majority approach in bystander cases. Will the friend prevail State representative Brandi Chapman is running for a seat in the state senate. She has been a hard working legislator and was twice voted the best representative by the GGB (Good Government Bureau). At the time the GGB voted her opponent, incumbent Cal Stateman, one of the ten worst senators in state history. Most political analysts believe Chapman would be the superior senator. Stateman has taken a no new taxes pledge and has challenged Chapman to take the same pledge. Chapman knows taxes may have to be raised in order to keep the state solvent. Nevertheless, she also knows that unless she promises to oppose any new taxes, she will lose the election. What should Chapman do and why? What would you do in her place and why? If you have to invest in an account that pays 5.3 compound annually, after 10 years how much interest is earned Let S be a sample of size 31 from a normally distributed population Omega . It is given that the average of the data in S is 120 and the standard deviation is 18. Construct a 90% confidence interval [a, b] for the population mean based on the data in the sample. Use the point-slope form from the previous question and fill-in the following table of values.The point-slope equation went through the following 2 points: (0, -1) and (1, 2)(0, -1)(1, 2)(2, )(3, ) Which of the following definitions best describes the principle of separation of duties? wirte a short paragh using semi colon.. i will mark brainlist A desktop computer is a type of mobile device.a. trueb. false Sphinx's judgmentShapeless, I take shape.Unguarded, I escape. Deach inexcess, death without slake,What am I?