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

When I did it I didn't get any of the answer choices so I know i'm Incorrect please help me find the correct answer

Answers

Answer:

17 units

Step-by-step explanation:

P to Q = (-2,2) to (5,2) =  is 7 units  

The Q to R  = (5,2) to (5,-5) is 7 units

Then R so S =  (5,-5) to (8,-5) is 3 units

7+7+3 = 17 units

Answer:

C. 17

..................

I really need help with this

Answers

Answer:

8/5

Step-by-step explanation:

There are 8 jokers combined, and 5 decks, so the mean is 8/5.

8/5 explanation gut above me

Add.

8/9+2/3+1/6


11/18

11/15

1 13/18

1 2/9

Answers

Answer:

1 13/18

Step-by-step explanation:

Get a common denominator of 18

8/9+2/3+1/6

8/9 *2/2  + 2/3 *6/6  + 1/6 *3/3

16/18 + 12/18 + 3/18

31/18

18/18+13/18

1 13/18

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The Lowest Common Denominator (LCD) of these fraction is: \bf 18}[/tex]

[tex]\mathsf{\dfrac{8}{9}+\dfrac{2}{3}+ \dfrac{1}{6}}\\\\\mathsf{= \dfrac{8\times2}{9\times2}+\dfrac{2\times6}{3\times6}+ \dfrac{1\times3}{6\times3}}\\\\\mathsf{8\times2=\bf 16}\\\mathsf{2\times6=\bf 12}\\\mathsf{1\times3 = \bf 3}\\\\\mathsf{9\times2=\bf 18}\\\mathsf{3\times6= \bf 18}\\\mathsf{6\times3 = \bf 18}\\\\\mathsf{\dfrac{16 + 12 + 3}{18}}\\\\\mathsf{16+12+3}\\\mathsf{= 28 + 3}\\\mathsf{=\bf 31}\\\\\\\mathsf{ = \bf 1 \dfrac{13}{18}}\\\\\\\boxed{\huge\textsf{Answer: \boxed{\mathsf{1 \dfrac{13}{18}}}}}}[/tex] ☑

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Could someone help me with (Q 15?) Maybe a brainliest if you do step by step and get the correct answer. Thank you :D

Answers

Answer:

It is a reflection  across the y axis

Step-by-step explanation:

The reflection of point (x, y) across the x-axis is (x, -y).

The reflection of point (x, y) across the y-axis is (-x, y).

Since (-4, -2.4) becomes (4, -2.4)  The x values changes sign.  It is a reflection  across the y axis

The answer would be the y axis. Because point a is on the negative x and y side of the graph while B is on the positive x and negative y side of the graph . So to get the answer you would have to flip it over the y axis.

Look at the picture below for the info

Answers

Answer:

x = -3/14

Step-by-step explanation:

1/2(2x-1) = -1/7 -4/7

Combine like terms

1/2(2x-1) = -5/7

Multiply each side by 2

2*1/2(2x-1) = -5/7*2

2x-1 = -10/7

Add 1 to each side

2x-1+1 = -10/7 +1

2x = -10/7 +7/7

2x = -3/7

Divide by 2

2x/2 = -3/7 *1/2

x = -3/14

X = -3/14
I just did it on a calculator:)

Eric makes a fruit salad. He uses 1/2 cup blueberries, 2/3 cup strawberries, and 3/4 cup apples.

How much fruit did Eric use in all?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Rewrite the fractions so they have a common denominator

1/2 = 6/12

2/3 = 8/12

3/4 = 9/12

Now add them together:

6/12 + 8/12 + 9/12 = 23/12 rewrite to a mixed number: 1 and 11/12 total cups

Yes what she said she is there I just

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Shape one / triangle:

the formula for triangles is a =1/2 x bh

5x10 = 50

50 x 1/2= 25

So the area for shape 1 is 25.

Shape two / rectangle :

the formula for quadrilaterals is a = bh

12 x 10 = 120

so the area of shape 2 is 120

What happened that caused Nollie's housemate, Katrien, to arrive at the ten Boom's house in an emotional state?

Answers

Answer:

Nollie told the police that Annaliese was a Jew

Step-by-step explanation:

Function f(x) =ax +b where a and b are integers and a<0 has a domain 1

Answers

Answer:

sorry i read the question wrong and put a wrong answer im not sure how to delete

Step-by-step explanation:

Im not understanding the question

Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
5, 10, 15, 20,...

Answers

Answer:

Step-by-step explanation:

it is not a geometric sequence

Answer:

no

Step-by-step explanation:

Take the second  term and divide it by the first term

10/5 = 2

Take the third term and divide it by the second term

15/10 = 3/2

The ratio is not the same so it is not a geometric sequence

A box contains 8 blue crayons, 4 green crayons, and 3 red crayons. If one crayon is randomly selected and returned to the box, then a second crayon is randomly selected, what is the probability that both crayons will be red?

Answers

The Probability is 5% And Yes The Crayons will be red

The probability is 2/5……..

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

sqrt of 41, or A

Step-by-step explanation:

You can cut the iscosles triangle into 2 right triangles as shown on the image, and the base of each will be 4, and the height 5.

The hypotenuse on a right triangle is the square root of the base squared added with the height squared, which would be 16+25, or 41. therefore, X is the sqrt of 41

Answer:

A. x = square root of 41

Step-by-step explanation:

Jordan flipped a coin 218 times. Which of the following would be a good estimate of the number of times the coin landed on heads?
A. 168
B. 104
C. 209
D. 34

Answers

Ans: (1/2)218 = 109

----

Closest to that is 104

Answer:

B. 104

Step-by-step explanation:

It would make the most sense if it were somewhere in the middle since flipping a coin has a 50% chance of being heads.

B. 104 is closest to the absolute middle of 218, therefore, it would be the most accurate.

Solve by factoring
x^2-8x-9 = 0

Answers

Answer:

the answer is ( x-9) (x+1) = 0

Step-by-step explanation:

more to the solution is x= -1, 9

use quadratic formula!!

Explain how to use the regression calculator to make a reasonable prediction given a data table.
plz, I need this!!!

Answers

Answer:

Step-by-step explanation:

Enter data into the regression calculator.

Determine the regression equation.

Substitute the correct value for x or y into the equation.

Simplify to find the value of the other variable.

what comparison does the ratio 6 to 21 represent​

Answers

Answer:

3:7

Step-by-step explanation:

hope it help you....

Answer:

2:7

Step-by-step explanation:

You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)

Express each of the following percentages as decimals
4%
solution for class 7

Answers

Answer:

0.04

Step-by-step explanation:

4%/100% = 4/100 = 0.04

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4/100=0.04

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Help me Guess just help please

Answers

Answer:

26

is it direct or step by step?

The correct answer is 26.

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:

I am a four digit number

I am a multiple of 110

My second and fourth digit are the same.

The first digit is one more than my third digit

Please help me with this riddle! :)!

Answers

The answer is 2090 please trust me

Can someone help me out with this one? + add an explanation on how you got the answer? Thanks!

Answers

Answer:

Hello,

Answer B: 7

Step-by-step explanation:

In order to find f2), we don't need to know f^(-1) !!!

f(x)=3x+1

f(2)=3*2+1=6+1=7

Answer:

B

Step-by-step explanation:

To evaluate f(-2) plug 2 into f(x) so f(x)=3(2)+1 or 7.

After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake. Each layer will be 2 1/2 inches tall and shaped like a rectangular prism. The bottom layer will be 12 inches long and 10 inches wide. The middle layer will be 10 inches long and 8 inches wide. The top layer will be 8 inches long and 6 inches wide. What will the total volume of the wedding cake be?

PLZ HURRY WILL MARK BRAINLIEST

Answers

Multiply length time width times height to find volume of each layer then add the volumes together
Height/length/Width
1st layer: 2 1/2 x 12 x 10
2nd layer: 2 1/2 x 10 x 8
3rd layer: 2 1/2 x 8 x 6
And to make the math easier, turn 2 1/2 into 2.5. They still equal the same thing, but this makes it easier to multiply. Hope this helps!

HELLLPPPP..............

Answers

1. 39
2. 30
3. 15
4. 37
5. 10
6. 1
7. 45
8. 6
9. 10
10. 8
11. 19
12. 1
13. 67
14. 4
15. 14
16. 7
17. 17
18. 98
19. 6
20. 9
21. 10
22. 12
23. 59
24. 42
25. 24
26. 54

You can use a calculator on the first page.

39

30

15

37

1

45

6

10

8

19

1

67

4

URGENT Two numbers have a sum of 2 and a difference of -16. What are the numbers?

Answers

Answer:

-7 and 9!

Step-by-step explanation:

To get to the sum of 2 you add -7 and 9.

To get to the diffrence of -16 you minus -7 and 9.

-7 and 9! The answer is -7 and 9

Picture below maths :

Answers

Step-by-step explanation:

f(g(x))= f(2x)

f(g(x))=3+cos2x

g(f(x))=g(3+cosx)

g(f(x))=2(3+cosx)

g(f(x))=6+2cosx

where,

f(g(x))=g(f(x))

3+cos2x=6+2cosx

2cosx-cos2x+6-3=0

2cosx-cos2x+3=0

x=2pi n1+pi

n1€ z

HELP PLEASE URGENT!!!!

Kelly works at her own nail salon. Today, she did 11 manicures and received $46.75 overall in tips If x represents the cost of each manicure, which of the following equations can be used to find the total amount of money she eamed, including tips, for her nail salon today?


Answers

Answer:

C...11 manicure X cost of each manicure

11x

46.75 is her tips

total is 11x+46.75

Answer: y= 11x+46.75

Step-by-step explanation:

We know that Kelly did 11 manicures, we don't know how much each manicure costs so we will say that each manicure costs x amount of dollars. If Kelly receives $46.75 in tips and we need to figure out how much she made in total, we add together the tip amount and the cost of the 11 manicures. Which should look like, 11x+46.75=y

Hii! Please helpppp!! This was due like 3 days ago lol

Answers

Fergus has 3 1/4 cups of oats

= 13/4 cups of oats

Oatmeal bars = 2 2/3

= 8/3 cups of oatmeal used

Therefore cups of oats left = 13/4 - 8/3

= 39/12 - 32/12

= 7/12 cups of oats left

She borrowed 1 cup of oats from neighbour

7/12 + 1/1

= 7/12 + 12/12

= 19/12 cups of oats

Blueberry oats muffin = 1 3/4 cups of oats

= 7/4 cups of oats

Total she will have now = 19/12-7/4

= 19/12 - 21/12

= - 2/12

= -1/6

Which means she needs 1/6 cup of oats more

Therefore its option 4

Must click thanks and mark brainliest

Answer:

she needs 1/6 more so the last option! looking at the pic i dont think you need to show the work :)

Step-by-step explanation:

the product of 4 and y​

Answers

Answer:

4y

Step-by-step explanation:

product means multiply

4y

Answer:

4y

Step-by-step explanation:

Rachel bought 2.5 pounds of cookies for $13.40. Her friend buys 4.5 pounds of crackers for $24.75. Which is less
expensive per pound? By how much? (HINT: Find the unit rate for each, then find the difference)

Answers

the answer would be the crackers are more expensive per pound and by $0.14. if you divide the price of the cookies by the amount of pounds you would come up with about $5.36 per pound. and if you do the same with the crackers it would be about $5.50 per pound.
Cookies are less expensive

I need help plz sorry

Answers

Answer:

a)

[tex](4.3 \times {10}^{5} )(1.6 \times {10}^{4} ) = 6.88 \times {10}^{9} [/tex]

b)

[tex](2.25 \times {10}^{3} )(5.8 \times {10}^{6} ) = 13.05 \times {10}^{9} = 1.305 \times {10}^{10} [/tex]

I hope I helped you ^_^

The andswer would seem to be b 2.25
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