Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain

Answers

Answer 1

Answer:

My age is 38 years old

My son is 11 years old

Step-by-step explanation:

Represent my current age with x and my son's current age with y

Two years ago;

[tex]x - 2 = 4 * (y - 2)[/tex]

Eight years ago:

[tex]x - 8 = 10 * (y - 8)[/tex]

Simplify both expressions

[tex]x - 2 = 4 * (y - 2)[/tex]

[tex]x - 2 = 4y - 8[/tex]

Add 2 to both sides

[tex]x - 2 +2= 4y - 8 + 2[/tex]

[tex]x = 4y - 6[/tex]

Substitute 4y - 6 in the second equation

[tex]x - 8 = 10 * (y - 8)[/tex]

[tex]4y - 6 - 8 = 10 * (y - 8)[/tex]

[tex]4y - 14 = 10y - 80[/tex]

Collect Like Terms

[tex]4y - 10y = 14 - 80[/tex]

[tex]-6y = -66[/tex]

Divide through by -6

[tex]y = 11[/tex]

Substitute 11 for y in [tex]x = 4y - 6[/tex]

[tex]x = 4 * 11 - 6[/tex]

[tex]x = 44 - 6[/tex]

[tex]x = 38[/tex]


Related Questions

Help me...PLEASE... :(

Answers

Answer:THE ANSWER IS BLOCKED AND DELETED FROM THE ACCOUNT OR THE INTERNET ACCESS IS LOW OR YOUR BATTERY IS NOT WORKING PROPERLY TRY AGAIN LATER

Tony drove 605 miles in 11 hours.
At the same rate, how long would it take him to drive 715 miles?

Answers

Answer:

13 hours

Step-by-step explanation:

605/11=55

715/55=13

8x + 4x
help pls :))))

Answers

Answer: I think it might be 12x

Step-by-step explanation:

Answer:

12x

Step-by-step explanation:

8x+4x=12

8 plus 4 equal 12 and they have the same variable of x so, its 12x

tom used a copy machine to reduce a drawing to 1/2 its original area. he then reduced the reduction to 1/2 its area. he did this a total 5 times, each time reducing the smallest drawing. what fraction of the original area is the final drawing?

Answers

Multiply 1/2 by itself 5 times:

1/2 x 1/2 x 1/2x1/2x1/2 = 1/32

The answer is 1/32

Will mark brainliest!! Determine the slope of the line

Answers

Answer:

1/2

Step-by-step explanation:

y2 - y1. over. x2 - x1

2 7/12 x 7 multiply enter the product in the simplest form

Answers

Answer:

18 1/12

Step-by-step explanation:

Hope this helps

find the percentage change from the first quantity to the second quantity: from 60 km/h to 45 km/h

Answers

Answer:

75%

Step-by-step explanation:

i can't figure it out

Answers

Answer:

see explanation

Step-by-step explanation:

Given

x - 6y = 18

To find the x- intercept let y = 0 in the equation and solve for x, that is

x - 0 = 18

x = 18 ← x- intercept ⇒ (18, 0 )

To find the y- intercept let x = 0 in the equation and solve for y, that is

0 - 6y = 18

- 6y = 18 ( divide both sides by - 3 )

y = - 3 ← y- intercept ⇒ (0, - 3 )

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

Answers

[tex]2 {x}^{2} + x - 1 = 2 [/tex]

Subtract sides -2

[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]

[tex]2 {x}^{2} + x - 3 = 0 [/tex]

[tex](x - 1)(2x + 3) = 0[/tex]

_________________________________

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

##############################

[tex]2x + 3 = 0[/tex]

[tex]x = - \frac{3}{2} \\ [/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer: I think its C on edge

What is the total length of the race (from point a to point b and point b to point c

Answers

Answer:

if that is the entire question then the answer should be length ac

Step-by-step explanation:

Answer:

Simple

Step-by-step explanation:

We need the total distance

For that we need to add all points (point a, point b, point c)

Add point a and b point at first then add point c with the answer of point a and b.

What’s 7 1/2 - 1 2/7

Answers

87/14 or 6 3/4. That's an improper fraction and then a mixed fraction. Same answer though

The answer is: 6 3/14

You find a common denominator which would be 14.

7 1/2 becomes 7 7/14.

1 2/7 becomes 1 4/14

When you subtract 7 1/2 - 1 4/14 it equals 6 3/14

ldentify the method that will be used in solving for x. 5+X=3/4 ​

Answers

Answer: x = -4.25

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

Answer:

X= -[tex]\frac{17}{4}[/tex] or -4.25 or -4[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

All the terms that DO NOT contain X are to be moved to the right side of the equation

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A (6.3), B'(-2.1)
and C (1, 7). What are the coordinates of the vertices of the pre-image?

Answers

Answer:

A(3,-6) B(1,2) C(7,-1)

Step-by-step explanation:

The answers on edge 2020

A man wears 21 pairs of sneakers in 7 years. What’s the unit rate?

I will mark you brainliest if you get this right!

Answers

3 pairs of sneakers for every year

Algebra II Question Four 4-2 HW

Answers

Answer:

2

Step-by-step explanation:

What is the distance from point to wx in the figure below?
W
24
Z 10 X
Pro
26
1012
y
O A. 10.5
Ο Ο Ο
OB. 10/3
C. 35
D. 10
O E. 5
O F. Cannot be determined

Answers

Answer:

D. 10

Step-by-step explanation:

Apex

Answer:

Step-by-step explanation:

Its D 10

Who ever is reading this:
I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

don't give up bby I need u to live.


I wish I could take everyone's problems so y'all wouldn't have to have em but I cant so just know ily and if anyone needs to talk u can talk to me <33


(pls spread this message. its not hard to copy and paste and it could save a life so pls)

Answers

That's very sweet!!! Thank you for being so positive!

Answer:

very nice message and free points

Which equation can you create with the given information? m=6, b=-2 A.) y=6x-2 B.) y=6x+2 C.) y=2x+6 D.) y=-2x-6

Answers

Step-by-step explanation:

Hey there!

Your answer is Option A.

Check all:

A. y = 6x-2

Comparing the equation with y = mx+b, we get;

m= 6

and b= -2

B. y= 6x+2

Comparing the equation with y= mx+b, we get;

m = 6

b= 2

C. y = 2x+6

Comparing the equation with y= mx+b, we get;

m= 2

b = 6

D. y= -2x-6

Comparing the equation with y= mx+b, we get;

m= -2

b= -6

Therefore, Option A is correct answer.

Hope it helps...

I need number 15 and this was cut out: if x=3.​

Answers

Answer:

x^0/3^2 (^ means to the power) and  3x^-4. The second and last answer choices are the correct answers.

Step-by-step explanation:

1. Solve each problem by plugging in the 3. For (3/x^2)^0, plug in the 3 in replacement of x. Now it is (3/x^2)^0 (3 divided by x squared to the power of 0). 3 squared is equal to 9, and 3/9 is simplified to 1/3. Now the equation is (1/3)^0 (1/3 to the power of 0). 1/3 to the power of 3 is one because any number that has a power of 0 is equal to 1. For the first answer choice, the answer is 1, and 1 is not less the 1, it is equal to 1, so the choice wouldn't be correct.

2. In the second answer choice, x^0/3^2 (x to the power of 0/3 to the power of 2), you first have to first replace the x with a 3. The new equation would be 3^0/3^2 (3 to the power of 0 divided by 3 to the power of 2). Now we have to figure out what 3^0 (x to the power of 0). Since anything to the power of 0 is equal to 1, 3 to the power of 0 would be 1. 3 to the power of 2 is equal to 3 times 3, which equals 9. 1 divided by 9 is equal to 1/9. 1/9 is less than 1 so answer choice number 2 would be correct.

3. In the third answer choice, 1/6^-x (1 divided by 6 to the -x power), you have to plug in the 3 where the x was. Now the equation would be 1/6^-3 (1 divided by 6 to the power of -3). We have to now figure out what 6^-3 (6 to the power of -3). 6^-3 is 1/216. The equation is now 1/1/216, which equals 216, so answer choice number 3 is not correct since 216 is greater than 1 not less than 1.

4. In the fourth answer choice, 1/x^-3 (1 divided by x to the power of -3), you have to substitute x for 3. Now the equation would be 1/3^-3 (1 divided by 3 to the power of -3). Now we have to solve for 3^-3(3 to the power of -3). 3^-3 is 1/27. Now the equation is 1/1/27, which is the same as 27. 27 is not less than 1, so answer choice number four is incorrect.

5. In the fifth answer choice, 3x^-4 (3x to the power of -4), you have to first substitute x for 3. The new equation is 3 × (3^-4). According to PEMDAS, we have to first multiply 3^-4, not 3 times 3. 3^-4 (3 to the power of -4) is equal to 1/81. 3 times 1/81 is equal to 1/27. 1/27 is less than 1 so the answer is correct.

As a result, the second and last answer choices are the correct answers.

(PLEASE HELP) A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid? (Please explain/ Show work)

Answers

Answer:

[tex]V=\frac{2s^3}{9}[/tex]

Step-by-step explanation:

[tex]V=\frac{lwh}{3}[/tex]

[tex]V = \fra}{\frac{s*s*\frac{2s}{3} }{3 }[/tex]

[tex]V\V=\frac{2s^3}{9}[/tex]

Answer:

Option D for plato users

Step-by-step explanation:

D.) [tex]v=\frac{2}{9} s^{3}[/tex]

can you help my sis out again? im sorry

Answers

Answer:

3.7 x  10^-2

Step-by-step explanation: I know all...sike i dont...thats correct tho

simplify 5(b – 4) + 12 and do a step by step

Answers

first distribute the 5 so u should hv 5b-20 then add 12 to that which is 5b-8 which is the simplified version!

help, you matter and i love you <3

Answers

Answer:

im so sad

Step-by-step explanation:

Is the inverse of the function shown below also a
function? Explain your answer.

Answers

Answer:

Yes it is

Step-by-step explanation:

It is a function because it passes the vertical line test

Answer:

If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function.

Step-by-step explanation:sample answer

im really confused lol

Answers

i think if u divide 27 by 4 u should get the anwser so G should be ur anwser !!!!

Solve the equation. 3m=39

Answers

Answer:

3x13=39

Step-by-step explanation:

[tex]3m = 39[/tex]

[tex]m = \frac{39}{13} [/tex]

[tex]m = 3[/tex]

Let us check if it is correct or not :-

[tex]3 \times m = 39[/tex]

[tex]3 \times 13 = 39[/tex]

[tex]LHS = RHS [/tex]

[tex]therefore \: , \: \: 3 \times 13 = 39[/tex]

Can someone please help me.

Answers

Answer:1.6 27

Step-by-step explanation:can I have brainliest

Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.

Answers

Answer:

The correct option is;

y = 6

Step-by-step explanation:

The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.

The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts

The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry

In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side

Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.

   Option A will represent the line of reflection.

 A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.

If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.

Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.

   Therefore, line given in Option A will represent the line of reflection.

Learn more,

https://brainly.com/question/10612394

Which statement describes the rate of change of the following function?
f(x) = -2x + 9

A.
The function has a varying rate of change when x 9.
C.
The function has a constant rate of change, decreasing for all x at a rate of 2.
D.
The function has a constant rate of change, increasing for all x at a rate of 9.

Answers

Answer:

C,

Step-by-step explanation:

At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?

A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt

B. Teen Tops is the better buy because the packages has more T-shirts

C. Bargain City is the better buy because $34 is less than $38

D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt

Answers

Answer:

D

Step-by-step explanation:

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