If A ⊂ B, then A ∩ B = A ∪ B.

Answers

Answer 1

The statement "If [tex]$ A \subset B $[/tex], then [tex]$ A \cap B = A \cup B $[/tex]" is not always true; it holds only if A = B.

The statement "If [tex]$ A \subset B $[/tex], then [tex]$ A \cap B = A \cup B $[/tex]" is not always true.

If [tex]$ A \subset B $[/tex], it means that every element in set A is also in set B.

Now, consider the intersection of A and B [tex]($ A \cap B $)[/tex]. This intersection contains all elements that are common to both sets A and B.

On the other hand, the union of A and B [tex]($ A \cup B $)[/tex] contains all elements that are in either set A or set B, or both.

Since A is a subset of B, all elements in A are already in B, which means [tex]$ A \cap B = A $[/tex]. However, [tex]$ A \cup B $[/tex] would just be B, because all elements in A are also in B, so [tex]$ A \cup B $[/tex] is simply B.

Therefore, the statement "If [tex]$ A \subset B $[/tex], then [tex]$ A \cap B = A \cup B $[/tex]" is not true in general; it is true only if A = B .

Related Questions

Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.
A) 110.0 degrees
B) 153.9 degrees
C) 26.1 degrees
D) 70.0 degrees

Answers

1. By the Law of Sines, you have:

SinA/a=SinB/b=SinC/c

2. You don't need the fraction SinC/c, so you can eliminate it. Then:

SinA/a=SinB/b

A=40°
a=19
B=m∠b
b=13

3. When you substitute this values into SinA/a=SinB/b, you obtain:

SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°

Therefore, the answer is: 26.1 degrees.

Answer: D) 70.0

Step-by-step explanation: :)

PLEASE HELP BABES!!

How likely is it that you would pick the number 67 if you closed your eyes?
A) certain
B) impossible
C) probable
D) unlikely

Answers

The answer is D. Unlikely

I think the correct answer will be (c probably)

The coordinates of the vertices of parallelogram ABCD are A(-3,2) , B (-2,-1) , C ( 4,1) and D ( 3,4). The slopes of which line segments could be calculated to show that ABCD is a rectangle?
1) AB and DC
2) Ab and BC
3) AD and BC
4) AC and BD
When you say what answer you chose can you explain why that’s the answer please in depth?

Answers

The answer is Ab and BC, option 2
I cannot draw the rectangle here. When you draw the line of x and y axis, plot the numbers, when you connect the dot, you will see the rectangle.I don't know how to draw it here, but that is the answer.

NOTE:
To show that a parallelogram is a rectangle, we need to show that ONE of the interior angles is a right angle.
Therefore we need to find the angle between two adjacent sides.

To find two adjacent sides in a parallelogram with vertices in counter-clockwise, we need two sides with a common vertex, for example,
AB+BC, or BC+CD, or CD+DA, or DA+AB.

Any two sides without a common vertex are opposite sides.

Assume the method dosomething has been defined as follows: public static void dosomething (int[] values, int p1, int p2) { int temp = values[p1]; values[p1] = values[p2]; values[p2] = temp; } what does the method do?3

Answers

First step is to analyze input and output variables:
INPUT:
list of integers with name "values"
integer with name "p1"
integer with name "p2"
OUTPUT:
there is no output variable as in declaration of a method there is void

ANALYSIS:
"int temp = values[p1]"
this line creates variable "temp" which is integer. then this line goes to the list "values" and takes value that is at position "p1" and stores it into variable "temp"

"values[p1] = values[p2]"
this line goes to the list "values" and takes value that is at position "p2" and stores it into variable that is at position "p1"

"values[p2] = temp"
this line takes value of the variable "temp" and stores it into list values at position "p2"

Short explanation:
this code replaces values of the list at between positions p1 and p2

A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off the ground and rises at 1.5 meters per second. Write and solve an equation to determine when the balloons are at the same height.

Answers

This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.

Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:

2.6s + 7.3

Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:

1.5s + 12.4

To determine when both balloons are at the same height, we set the two equations equal to each other:

2.6s + 7.3 = 1.5s + 12.4

Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:

1.1s + 7.3 = 12.4

Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:

1.1s = 5.1

Last, we divide both sides by 1.1. So s = 4.63.

This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:

2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33

1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33

After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.

Final answer:

To find when two balloons are at the same height, set up two equations equal to each other with the starting heights and rates of ascent, and solve for the time. The two balloons will be at the same height approximately 4.636 seconds after they start rising.

Explanation:

To determine when two balloons will be at the same height, we can set up an equation based on their starting heights and their rates of ascent. We have a red balloon that starts at 7.3 meters off the ground and rises at 2.6 meters per second, and a blue balloon that starts at 12.4 meters off the ground and rises at 1.5 meters per second.

Let's let t represent the time in seconds after the balloons begin to ascend. The height of the red balloon at any time t can be expressed as:

Height_red = 7.3 + 2.6t

Similarly, the height of the blue balloon at any time t is:

Height_blue = 12.4 + 1.5t

To find out when the balloons are at the same height, we set the two equations equal to each other:

7.3 + 2.6t = 12.4 + 1.5t

Now, we solve for t by subtracting 1.5t from both sides:

2.6t - 1.5t = 12.4 - 7.3

1.1t = 5.1

Next, we divide both sides by 1.1 to isolate t:

t = 5.1 / 1.1

t ≈ 4.636 seconds

Thus, the balloons will be at the same height approximately 4.636 seconds after they begin to ascend.

(64-2^2)-(8+7)
answer please

Answers

Hello there!

64 - 2² - (8 + 7)

= 64 - 4 - 15

= 60 - 15

= 45

Let me know if you have any misunderstanding!

As always, I am here to help!

A store is having a sale where all jeans are 1/4 off the regular price.Find the constant of proportionality, then write an equation relating to the sale price to the regular price.

Answers

1 to 25% so just simplify the fraction

John bought a house. He decided to reduce his square backyard by 40 inches along its width. The area of the new backyard is given by the function below, where z represents the length in inches.

A(z)=z^2-40z

Which statement best describes the term 40z?

* The area of the playground after expansion
* The width of the backyard
* The area of the backyard before reduction
* The area reduced from the backyard

Answers

Ans: The area reduced from the backyard

Mr kenrick made three deposits to his account to his bank account in this order 460,185, and 240 show how to use a commutative property to find the sum of the deposits mentally

Answers

Commutative property: when you have to solve a sum, it does not matter the order in which you place your addends, since you will always get the same result.
We have then:
(460 + 185) + 240 = 240 + (460 + 185) = 885
Answer:
(460 + 185) + 240 = 240 + (460 + 185) = 885

adding and subtracting fractions with unlike denominators

Answers

You must first find a common denominator.
Change the fractions to the common denominator.
Then you add or subtract the fractions.
Finally, you may need to reduce the fraction.

Example 1:

Add

1/5 + 1/3

The least common denominator is 15.

Both denominators must become 15.

1/5 + 1/3 = 3/3 * 1/5 + 5/5 * 1/3 = 3/15 + 5/15 = 8/15

Example 2:

Subtract
3/8 - 1/3

The least common denominator is 24.

3/3 * 3/8 - 8/8 * 1/3 = 9/24 - 8/24 = 1/24

Both in addition and subtraction, you only add or subtract the numerators. The denominator of the answer is the common denominator.

To add or subtract different fractions you need to make both fractions have an L.C.D = lowest common denominator. You can find the LCD by multiplying the denominators of the fractions together. Once you have the LCD you can multiply each fraction by a ratio of one (example = 3/3 ratio = 1 ) to make the denominators equivalent.

Example problem:
2/3 + 4/5 = ?
The L.C.D is equal to 15 (from multiplying the denominators 3 and 5 together).
Now you can make the first fraction (2/3) have a denominator of 15 by multiplying it by a ratio of 1 (5/5). For the second denominator (4/5) multiply it by a ratio of 1 as well (3/3). Now the fractions will be (2/3)(5/5) + (4/5)(3/3) = 10/15 + 12/15

Because the fractions have the same denominator now you can now add them together and then simplify the fraction to its simplest form.
10/15 + 12/15 = 22/15 (This fraction cannot be reduced further, it is the final answer)

rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.

Answers

Consider this option:
1. area_rombus=a*h, where a=6 - the length of the side, h - height.
h=area_rombus/a.
2. area_sq=a², where a=6 - the length of the square.
area_sq=36, area_rombus=4/5 *36=28.8.
3. according to the item 1 h=area_rombus/a=28.8/6=4.8.

answer: 4.8

Answer:

4.8 cm

Step-by-step explanation:

If a couple plans to have 9 children, what is the probability that there will be at least one girl? assume boys and girls are equally likely. is that probability high enough for the couple to be very confident that they will get at least one girl in 9 children?

Answers

Second question: maybe but nothing is certain when you're talking about anything between men and women. This is not part of the answer. It's just an observation.

Figure this question out first as though you don't get any females. They are all males. The total number of ways that you can distribute 9 children by gender is 2^9 = 512
There is only one way that you can get all males and that is M M M M M M M M M so the chances are 1 chance in 512 or 1/512
All males = 0.001953

So the chances of there being at least 1 female is
1 - 1/512 = 0.998

Which contrary to my opening remark is almost certainty.

Does the following equation represent growth or decay? Y=10,000(0.97)x

Answers

decay because it is being multiplied by a decimal so the number will go down.

Given is Y = 10000·(0.97)ˣ

This is an exponential equation whose general form is y = a·bˣ

where 'a' is the initial value and 'b' is the growth or decay factor.

If value of b is greater than 1, then it is growth of population.

If value of b is lesser than 1 but greater than 0, then it is decay of population.

On comparison of the given equation with its general form, we get a = 10000, b = 0.97

So initial value is 10000.

Since value of b is 0.97 i.e. lesser than 1, so it is decay of population.

Hence, the given equation represents "Decay".

Gas costs $1.64 a gallon. Elaine spent $23.78 at the gas station.How many gallons of gas did she but?

Answers

$1.64 per gallon
she paid $23.78
23.78÷1.64
She paid for 14.5 gallons

To check:
1.64 * 14.5
23.78

Hope this helps

Answer:

23.78

Step-by-step explanation:

HELP!!! 100 POINTS+ BRAINLIEST for correct answer
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house?

Answers

i need the graphs so i can answer the question

Here's the picture of the graph that goes with this question.

Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.

Answers

To make the perpendicular line, it is convenient to swap the x- and y-coefficients and negate one, then offset the x- and y- by the point value:
.. 2(x +2) +3(y -1) = 0

This equation can now be put into any desired form. Based on the given equation, it looks like you would like "standard form."
.. 2x +3y = -1

To find the equation of a line that is perpendicular to the line 3x - 2y = 5 and passes through the point (-2, 1), we determine that the slope of the perpendicular line must be -2/3. Using the point-slope form, the equation of the desired line is y = (-2/3)x - (1/3).

Finding the Equation of a Perpendicular Line

To write the equation of a line that is perpendicular to another line, you first need to determine the slope of the original line. The given equation, 3x - 2y = 5, can be rewritten in slope-intercept form (y = mx + b) by solving for y:
3x - 2y = 5
=> -2y = -3x + 5
=> y = (3/2)x - (5/2)
The slope (m) of this line is 3/2. Perpendicular lines have slopes that are negative reciprocals of each other. Thus, the slope of the line perpendicular to the original line is -2/3.

To find the equation of the line passing through the point (-2, 1) with this slope, use the point-slope form of the equation:
y - y1 = m(x - x1)
=> y - 1 = (-2/3)(x + 2)
Simplifying, we have:

y - 1 = (-2/3)x - (4/3)
=> y = (-2/3)x - (4/3) + 1
=> y = (-2/3)x -(1/3)

This is the equation of the line that passes through (-2, 1) and is perpendicular to the line 3x - 2y = 5.

Round 3,989.23655 to the nearest tenth

Answers

this would be 3990 if you require a whole number but for a decimal it would be 3989.24

substitution method for 7x-2y=1 & x-2y=1

Answers

We want to use the Substitution method to solve
7x - 2y = 1 (1)
x - 2y = 1 (2)

From equation (1), obtain
2y = 7x - 1 (3)

Substitute (3) into (2).
x - (7x - 1) = 1
-6x + 1 = 1
-6x = 0
x = 0

From (3), obtain
2y = 7*0 - 1 = -1
y = -1/2

Answer: (0, -1/2) or x=0, y= -1/2.

(64+28+76)÷6 show how you can calculate the number of 3/4 cup servings

Answers

Add first then divide by 6 which gives you 28 then divide by .75 which is 3/4 and it is equal to 37.33

(05.02)Find the measure of angle x in the figure below:

Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.

Answers

Answer:

x=95°

Step-by-step explanation:

We are given that: Two triangles are such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.

The figure of such a triangle is attached to the answer.

As we know that sum of all the angles of a triangle is equal to 180°.

⇒ 55°+30°+x=180°

⇒ 85°+x=180°

⇒ x=180°-85°

⇒ x=95°

Hence, the angle at the vertex is 95°.

The measure of angle x in the inverted triangle formed by two triangles sharing a common vertex is 95 degrees .

Two triangles sharing a common vertex. The angles given are as follows:

Measure of the lower left angle of the lower triangle = 55 degrees.

Measure of the lower right angle of the lower triangle = 30 degrees.

The angle at the vertex of the inverted triangle (at the top) can be found by subtracting the sum of the angles in the lower triangle from 180 degrees .

Since the sum of angles in a triangle is always 180 degrees.

Sum of angles in the lower triangle

= 55 degrees + 30 degrees

= 85 degrees.

Now, subtract the sum of angles in the lower triangle from 180 degrees to find the angle at the vertex of the inverted triangle (x degrees):

x degrees = 180 degrees - 85 degrees

= 95 degrees.

Therefore, the measure of angle x is 95 degrees.

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Part A: The area of a square is (25x2 − 10x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (81x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Before getting started, let's look at notation. My guess is that by (25x2-10x+1) you mean "25 x squared plus 10x plus 1." Usually to show the exponent (x squared) we use the ^ symbol so that means for Part A you are being asked to factor 25x^2 -10x + 1. We can also use a program like equation editor (part of Word) so that the expressions look like they would if you wrote then by hand in your notebook. I will do PART A using "^" and PART B using an editor that will make the notation look as it does in your notebook so you see both ways.

PART A:
As the expression given is the area of a square (and in a square the sides are all of equal length) when we factor (write as a product) this expression we should get two identical factors. If you remember how to distribute twice (teachers usually use the term F.O.I.L.) this question is asking you to go backwards...the expression is what you get when you "FOIL" so what were the two terms before?

25x^2 --> What can you multiply to get 25x^2? Since the terms have to be identical that's 5x. That is (5x)(5x) gives 25x^2.

Next we look at the last term (1) and think what can you multiply by itself to get 1? That's 1 as (1)(1)=1.

This means that the expression 25x^2 -10x + 1 = (5x+1)(5x+1) = (5x+1)^2.
The side of the square is 5x+1

PART B:
Here you are asked to factor [tex]81 x^{2} -9 y^{2} [/tex]. You might notice that [tex]81 x^{2}[/tex] is a perfect square. [tex]81 x^{2} =(9x)(9x)[/tex]. Similarly, [tex]9 y^{2} =(3y)(3y)[/tex]. We are dealing with the difference (notice the subtraction sign between the terms) of squares.

How do we factor the difference of squares? It is: (square root of first term + square root of second term)(square root of first term - square term of second). In symbols it is: [tex] a^{2} - b^{2} =(a+b)(a-b)[/tex].

In our case, we get [tex]81 x^{2} -9 y^{2} =(9x+3y)(9x-3y)[/tex].

If you forget or don't see that it is the difference of squares you can still figure it out by reasoning it out. What two terms give you the first when multiplied and what two terms give you the second?

**Aleta deposited $450 into a savings account earning 3.75% simple interest. How much interest will she earn in 6 years? Explain.

Answers

$101.25;450(0.0375)6=1021.25 is the answer i hope this helps you

Aleta will have 561.23 at the end of the 6 years. You add 3.75% to the previous amount of money from last year for every year.

ie: 'ans' is the total of the previous equation.
450+3.75%
ans+3.75%
ans+3.75%
ans+3.75%
ans+3.75%
ans+3.75%
ans = 561.23.

What are the values of a and b?

Answers

See also
https://brainly.com/question/8861591

Short Side : Long Side is the same for all triangles
.. a/20 = 20/21
.. a = 400/21

Hypotenuse : Long Side is the same for all triangles
.. b/20 = 29/21
.. b = 580/21

The 1st selection is appropriate.

robert leaves his home to go to his office .he drives 6 km north and then 4km due east.approximatley what is the shortest distance from roberts home to his office,in kilometers

Answers

Visualize the distance traveled as the two side lengths of a right triangle, for this we can use the pythagorean theorem to solve for the hypotenuse (which is the shortest distance from his house to his office).

a²+b²=c²
6²+4²=c²
36+16=c²
52=c²
7.21=c

Answer=7.21km

The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and the kitchen is 2.4 inches by 2.8 inches. What are the actual dimensions of the kitchen? Enter your answers in the boxes. The actual dimensions of the kitchen are feet by feet.

Answers

4 / 0.8 = 5, 7 / 1.4 = 5. The ratio between actual dimension and the drawing is 5

Thus, 2.4 inches * 5 = 12 feet and 2.8 inches * 5 = 14 feet
12 feet x 14 feet

Answer:

12 by 14

Step-by-step explanation:

took quiz

The transport layer handles the transmission error by requesting the damaged segments to be retransmitted. if the probability of a segment being damaged is p, what is the mean number of the transmissions required to send a segment? you can assume the acknowledgements are never lost for solving this question.

Answers

The geometric distribution applies to experiments employing Bernoulli trials (success or failure) to determine the number of trials to obtain the first success.
This distribution may be applied to the given situation, where the probability of success is p.
Let n=number of transmissions required (n ≥ 1)Then
P(n)=(1-p)^(n-1)*p (probability that n transmissions are required)
and the mean number of transmissions required
μ = 1/p

Final answer:

The mean number of transmissions required to send a segment successfully, given a damage probability of p, is calculated as 1/(1-p). This is derived from the geometrical distribution, representing the expected number of trials until the first success.

Explanation:

The question asks for the mean number of transmissions required to successfully send a segment given that the probability of a segment being damaged is p, and assuming acknowledgements are never lost. To solve this, we consider each transmission attempt as an independent trial with only two outcomes: success (with probability 1-p) or failure (with p). The problem thus resembles a geometrical distribution where the expected value (mean number of trials to get the first success) can be calculated as 1/(1-p). Therefore, if the probability of a segment being damaged is p, the mean number of transmissions required to send a segment successfully is 1/(1-p).

For example, if the probability of damage is 0.1 (p=0.1), then the mean number of transmissions would be 1/(1-0.1) = 1.1111, rounding up since you can't have a fraction of a transmission in reality.

The floor plan of a home is dilated by a factor of 8 to create a new, larger floor plan. The area of the new floor plan is (8, 16, 32, 64, 256) times larger than the area of the original floor plan?

Answers

Let
x-----------> Initial length x of the floor plan
y-----------> Initial length y of the floor plan
A1-----------> initial area of the floor plan
1) A1= x*y

2) the floor plan of a home is dilated by a factor of 8
then
x2=8x
y2=8y

the new area A2=x2*y2
A2=(8x)*(8y)=64*x*y--------> 64*A1
A2=64*A1

the answer is
The area of the new floor plan is 64 times larger than the area of the original floor plan

Final answer:

The area of the larger square is 16 times larger than the area of the smaller square.

Explanation:

The area of the larger square is 16 times larger than the area of the smaller square.

To find the area of a square, you square the length of one side.

For example, if the smaller square has a side length of 4 inches, the area is 4 * 4 = 16 square inches. The larger square, with side length 8 inches, has an area of 8 * 8 = 64 square inches. Therefore, the area of the larger square is 64 / 16 = 4 times larger than the area of the smaller square.

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Solve the equation on the interval [0,2pi) 4sin^2x-3=0

Answers

4sin²x-3=0
4sin²x=3
sin²x=3/4
sinx=√3/2 or -√3/2
x=π/3, 2π/3, 4π/3, or 5π/3

The equation 4sin^2x-3=0 has a solution of x=π/3,2π/3,4π/3,5π/3.

What is equation?

An equation is basically a relationship between two variables in equal to form. In an equation each variable must have a solution or value.

How to solve an equation?

The equation given as 4sin²x-3=0

We have to first find the value of x in the equation itself which is 4sin²x=3

sin²x=3/4

sinx=√3/2 or -√3/2

x=π/3, 2π/3, 4π/3, or 5π/3.

Hence the solution for the equation 4[tex]sin^{2}x-3[/tex]=0 is x=π/3,2π/3,4π/3,5π/3.

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How to do this because I do not understand how to do it

Answers

Answer: 24.52%

-------------------------------------------

Work Shown:

Convert the time 7:45, which represents 7 min 45 sec, to seconds only
7:45 = (7 min) + (45 sec)
7:45 = (7*60 sec) + (45 sec)
7:45 = (420 sec) + (45 sec)
7:45 = (420+45) sec
7:45 = 465 sec

Do the same for 5:51
5:51 = (5 min) + (51 sec)
5:51 = (5*60 sec) + (51 sec)
5:51 = (300 sec) + (51 sec)
5:51 = (300+51) sec
5:51 = 351 sec

So the initial time is 465 seconds and it drops to 351 seconds
Subtract the values to find the amount dropped: 465-351 = 114

Divide that difference over the initial time: 114/465 = 0.24516

Move the decimal over 2 spots to the right to convert to a percentage: 0.24516 --> 24.516%

Then round to the nearest hundredth of a percent (2 decimal places) to go from 24.516% to 24.52% which is our final answer

So the reduction is roughly 24.52%
This means if you took 24.52% of the initial time and subtracted it off, then you'd get to about 351 seconds.

Answer:

24.52%

Step-by-step explanation:

Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.

Answers

By setting up equations using the information about your siblings' ages, we find out that you are 12 years old.

To find your age, we can set up an equation based on the information given:

Your sister is 10 years old.

Your brother is 13 your age, meaning 1/3 of your age.

Your sister is 6 years older than your brother. Therefore, if your brother's age is b, your sister's age is b + 6.

Since your sister is 10, this allows us to write the equation for your brother's age as:

b + 6 = 10

Solving for b, we get:

b = 10 - 6 => 4

Now we know your brother is 4 years old, and since he is 13 your age, we can write another equation:

a ÷3 = 4

Multiplying both sides by 3 to solve for a:

a = 4 × 3 => 12

You are 12 years old.

Other Questions

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