The **product** of the **numbers** are-

For the given number;

**Part a: 107 × 11**

1 0 7

× 1 1

---------

1 0 7

+ 1 0 7 x

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

1 1 7 7

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

Thus, 107×11 = 1177

**Part b: 72×13**

7 2

× 1 3

---------

2 1 6

+ 7 2 x

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

9 3 6

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

Thus, 72×13 = 936

**Part c: 466×27 **

4 6 6

× 2 7

---------

3 2 6 2

+9 3 2 x

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

1 2 5 8 2

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

Thus, 466×27 = 12582

Therefore, product of the** number** are found.

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I need to know what is negative and whats positive.

Easier way to understand it is that positive is basically (+) and negative is (-)

Positive numbers usually have no sign in front of them. So a number like 67 is taken to mean a positive number.

Negative numbers are indicated by placing a dash ( – ) sign in front, such as –5, –12.77. A negative number such as –6 is spoken as 'negative six'.

The function is positive

Positive numbers usually have no sign in front of them. So a number like 67 is taken to mean a positive number.

Negative numbers are indicated by placing a dash ( – ) sign in front, such as –5, –12.77. A negative number such as –6 is spoken as 'negative six'.

The function is positive

Find the equation of the line having

undefined slope and passing through (0,5).

Answer:

x = 0

Step-by-step explanation:

A line that has undefined slope is a vertical line. A vertical line has an equation in the form "x = anumber"

In the given information, (0,5), x is 0 and y is 5. What we need is the information on x.

x is 0.

x = 0 is the equation of the line.

**Answer:**

x=0.

**Step-by-step explanation:**

undefined slope is a vertical line. if it passes through (0,5) it means its on the y line

Linda has c decks of cards. Each deck has 52 cards in it. Using c, write an expression for the total number of cards Linda has

Each deck has 52 cards in it. If Linda has c decks of cards, then the expression for the total number of cards that she has is

52 x c

= 52c

Let f(x)=x^2-5x and g(x)=3-x find (fg)(4)

**Given:**

**Required:**

Find** ** (fg)(4)

**Explanation:**

Given functions are

[tex]\begin{gathered} f(x)=x^{2}-5x \\ g\mleft(x\mright)=3-x \end{gathered}[/tex][tex]\begin{gathered} (fg)(4)=f(4)g(4) \\ (fg)(4)=[(4)^2-5(4)][3-4] \\ (fg)(4)=[16-20](-1) \\ (fg)(4)=(-4)(-1_) \\ (fg)(4)=4 \end{gathered}[/tex]**Final answer:**

The value of** **(fg)(4) = 4

Find the value of x so that f(x) = 7.

For the given function f(x) = 7 , the value of **x is 5.**

solution:

We have a **linear function** in the figure, and linear functions have the same slope for all values of. We can determine the value of f using the **secant line equation**:

**(yB -yA) / (xB - xA) = (yC - yA) / (xC - xA)**

Where:

(xA , yA) , (xB , yB) given

**to find , (xC , yC)**

(xA , yA) = (2,0) , (xB , yB) = (5,7) and **yC = 7**

to **find xC **,

**xC - xA = (yC - yA) / (yB - yA) . (xB - xA)**

xC = xA + (yC - yA) / (yB - yA) . (xB - xA)

xC = 2 + (7-0)/(7-0) x (5 - 2)

xC = 2 + (5 - 2)

xC = 2 + 3

**xC = 5**

so the value of **x **in given function **f(x) = 7 is 5.**

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Need help, explaining this to me

[tex]\begin{gathered} (-3p+9)+(-7-p+2p^2)\text{ Given} \\ \\ \text{First, simplify by taking out the parenthesis and making sure it stays true to the operation} \\ \rightarrow-3p+9-7-p+2p^2 \\ \text{Next, arrange starting from the highest degree }(p^2)\text{ to the constant},\text{ and group them} \\ p^2\rightarrow p\rightarrow\text{constant} \\ 2p^2-3p-p+9-7\text{ (final answer)} \end{gathered}[/tex]

help meeeeeeee please

The **value **of the **average** price per square foot in 2002 is $101. 5

A **function** can simply be defined as a rule, a law, an equation or an **expression** that is made up of two variables and shows or explains the relationship between them.

The variables are;

Independent variableDependent variableGiven the function;

P(t) = 0. 018t³ - 0. 294t² + 3. 065t + 55. 190

Where;

P is the average price per square feett is the number of years since 1992For the year 2002 , the value of t would be 10

Substitute the value into the formula

P(10) = 0. 018(10)³ - 0. 0294(10)² + 3. 05(10) + 55. 190

expand the bracket, we have

P(10) = 0. 018(1000) - 0. 0294(100) + 30. 5 + 55. 90

multiply through

P(10) = 18 - 2. + 30. 5 + 55. 90

Add the values

P(10) = $101. 5

Hence, the **value **is $101. 5

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An arch is in the shape of a parabola. It has a span of 72 meters and a maximum height of 9 meters.

**Answer:**

**Equation of the parabola:**

The height of the arch 18 meters from the center is 6.75m

**Explanation:**

The arch feet are 72m apart and the origin half way between them. This means that the axis of symmetry (or the x.coordinate of the vertex) is x = 0

Since it's an arch, the parabola is concave down, with it's maximum at the vertex, y = 9. This means that the vertex is at (0, 9). Also, we can see that the y-intercept is y = 9

Finally, we know the two roots of the parabola: x = -36 and x = 36. This is because the points x = -36 and x = 36 are 72m apart, with the center at the original, as the problem says. SInce x = 36 is a root, this means that at that point the y value is 0.

With all this, we can try to find the general form of a parabola. The general form is:

[tex]y=ax^2+bx+c[/tex]c is the y-intercept. We know that c = 9

We can find the value of b, because we know the coordinates of the vertex. The x-coordinate of the vertex is:

[tex]x_{vertex}=-\frac{b}{2a}[/tex]SInce the x-coordinate of the vertex is x = 0

[tex]0=-\frac{b}{2a}[/tex]If we solve:

[tex]b=0[/tex]So far we have:

[tex]y=ax^2+9[/tex]Finally, to find a, we can use the point (36, 0) (one of the roots)

[tex]0=a(36)^2+9[/tex]And solve:

[tex]\begin{gathered} 324a=-9 \\ . \\ a=-\frac{9}{1296}=-\frac{1}{144} \end{gathered}[/tex]Thus, the equation of the arch is:

[tex]y=-\frac{1}{144}x^2+9[/tex]Evaluating this equation for x = 18, we can find the height of the arch:

[tex]y=-\frac{1}{144}(18)^2+9=-\frac{9}{4}+9=-6.75[/tex]The entire graph of the function f is shown in the figure below.

Write the domain and range of f as intervals or unions of intervals.

For given **function **f,

**domain **= (-3, -1) ∪ (2, 5]

**range **= (0, 3) ∪ (1, 5]

In this question, we have been given the graph of the **function **f.

We need to write the **domain **and **range **of f.

From the graph of function f we can observe that, function f is a piecewise function.

For first part x takes vales which are greater than -3 and less than -1

And y takes values between 0 to 3

For first curve the **domain **is (-3, -1) and the **rage **of function f is (0, 3)

For the second part, x takes value which are greater than 2 and less than or equal to 5.

And y has values between 1 to 4.

So, for the second part the **domain **is (2, 5] and the range is (1, 5]

Therefore, for given **function **f,

**domain **= (-3, -1) ∪ (2, 5]

**range **= (0, 3) ∪ (1, 5]

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Suppose times for the 100m sprint for the average person are Uniondale and symmetric with mean 14 seconds and standard deviation 0.8 seconds. What is the probability that the average person has a time faster than Usain Bolt’s record of 9.58 seconds?

The **probability **that the average person has a **time **faster than Usain Bolt’s record of 9.58 seconds

P(x>9.58)=1

This is further explained below.

What is the probability?Mean[tex](\mu)[/tex]=14 seconds

Standard deviation[tex](\sigma)[/tex]=0.8 seconds

To determine the likelihood that the **average **individual will beat Usain **Bolt's **record of 9.58

To express the statement "the **probability **that the average person has a time faster than **Usain Bolt’s **record of 9.58 seconds" in a mathematical equation we have:

[tex]&P(x > 9.58)=P\left(\frac{x-\mu}{\sigma} > \frac{9.58-14}{0.8}\right) \\\\&P(x > 9.58)=P\left(z > -\frac{4.42}{0.8}\right) \\\\ &P(x > 9.58)=P(z > -5.525)[/tex]

P(x>9.58)=1

Note: we would make use of the** normal table** in reading z>-5.525

In conclusion, By using** standard normal distribution **we get

P(x>9.58)=1

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y varies directly as x. y = 90 when x = 6. Find y when x= 12.y=(Simplify your answer.)

**Answer**

**When x = 12, y = 180**

**Explanation**

We are told that **y** varies directly as **x**, which can be written as

**y ∝ x**

Introducing the constant of variation, **k**, we have

**y ∝ x**

**y = kx**

We can then solve for **k** knowing that

**y = 90 **when **x = 6**

**y = kx**

**90 = (k) (6)**

**90 = 6k**

Divide both sides by **6**

**(90/6) = (6k/6)**

**15 = k**

**k = 15**

We can then write the relationship between **y **and **x **as

**y = kx**

**y = 15x**

when **x = 12, y = ?**

**y = 15x**

**y = 15 (12) = 180**

**Hope this Helps!!!**

The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 114 feet. Find the length and width of the rectangle

**Answer:**

length is 28,breadth is 29

**Step-by-step explanation:**

firstly we need to know the definition of consecutive integers:-Consecutive integers are those numbers that follow each other . They follow in a sequence or in order.

let the length and breadth be represented by n and n+1

since we are given in perimeter

perimeter of a rectangle =2(length+breadth)

114=2(n+n+1)

114=2n+2n+2

114=4n+2

114-2=4n

112=4n

n=28

:-n=28,(n+1)=28+1=29

:-the length is 28 and the breadth is 29

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Evalúe the limit. Show steps

The **value** of the **limit** will be equal to -2.

A **function** may be defined as the one in which for one input variable x there is only one output variable y. The input variable is called **independent** variable and the output variable is called **dependent **variable.** Limit **on a function may be defined as the value of input variable reaches a certain **specified value** the output of function also reaches a certain specified value. The** function **[tex]\lim_{x \to-2}[/tex] (x²)/(2x + 4) can be solved by using the rule [tex]\lim_{x \to a}[/tex] f(x)/g(x) = [tex]\lim_{x \to a}[/tex] f'(x)/g'(x).

Here f(x) = x², f'(x) = 2x

g(x) = 2x + 4, g'(x) = 2

Now, [tex]\lim_{x \to-2}[/tex] (x²)/(2x + 4) = [tex]\lim_{x \to-2}[/tex] (2x/2)

[tex]\lim_{x \to-2}[/tex] (x) = -2 which is the required **value**.

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A tree grows 1 3/4 feet per year. How long will it take the tree to grow from a height of 21 1/4 feet to a height of 37 feet?

A tree grows x =[tex]1\frac{3}{4}[/tex] feet per year. It take 9 years to grow from a **height** of x=[tex]21\frac{1}{4}[/tex] feet to a height of 37 feet

**Mathematical expressions** can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as **mathematical operations** like** addition**, **subtraction**, **multiplication**, and **division**. Algebra is used in every area of mathematics, including **coordinate geometry**, **calculus**, and **trigonometry**. A straightforward **algebraic expression** is 2x + 4 = 8.

A tree expands by [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] feet annually.

You can calculate this using the methods below if you'd want to know how long it will take the tree to grow from a **height **of [tex]21\frac{1}{4}[/tex] = [tex]\frac{85}{4}[/tex]** feet** to a height of 37 feet:

37 - [tex]21\frac{1}{4}[/tex]

= 37 - [tex]\frac{85}{4}[/tex]

= [tex]\frac{63}{4}[/tex]

= [tex]\frac{63}{4}[/tex] × [tex]\frac{4}{7}[/tex] = 9 years

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There was a big snowstorm on Friday night. By Saturday afternoon, 3 inches of the snow had melted. There were still 8 inches of snow left. Solve an equation to find how many inches of snow fell during the snowstorm.

Answer:

13 correct me if i am wrong

Step-by-step explanation:

Find two pairs of conjugates with a product of 3. Please

The **two pairs of conjugates** are ([tex]\sqrt{2}-i[/tex]) and ([tex]\sqrt{2}+i[/tex]).

In **mathematics,** a pair of **binomials** with identical **phrases** that part opposite **arithmetic** operators in the midst of these similar terms are referred to as **conjugates**. Below are a few more instances of **conjugate **pairs: p + q, p - q. 3 + 1, 3 - 1. 4 - 3i, 4 + 3i.

Let the two pair of conjugates is

([tex]\sqrt{2}-i[/tex]) and ([tex]\sqrt{2}+i[/tex])

Use the formula,

(a+b) and (a-b) = [tex]a^{2}-b^{2}[/tex]

Then,

([tex]\sqrt{2}-i[/tex]) and ([tex]\sqrt{2}+i[/tex]) = [tex]\sqrt{2} ^{2}-i^{2}[/tex]

We know that,

[tex]i^{2}=-1[/tex]

([tex]\sqrt{2}-i[/tex]) and ([tex]\sqrt{2}+i[/tex]) = 2-(-1)

([tex]\sqrt{2}-i[/tex]) and ([tex]\sqrt{2}+i[/tex]) = 3

Hence, The **two pairs of conjugates** are ([tex]\sqrt{2}-i[/tex]) and ([tex]\sqrt{2}+i[/tex]) with a product 3 .

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According to the solving the two **pairs** of **conjugates** with a product of 3:

(√2 - i ) & (√2 + i ).

What does "pair of conjugates" mean?When two **binomials** are identical except for the signs separating the terms, they are said to be **conjugates**. You only need to rephrase a **binomial** and alter the sign of the second term to create its conjugate.

given number = 3.

lets the two pair of conjugates is:

(√2 - i ) & (√2 + i )

Use the formula:

a² - b² = (a + b) and (a - b)

So,

(√2 - i ) & (√2 + i ) = (√2)² -( i )²

We know that,

i² = -1

So,

(√2 - i ) & (√2 + i ) = 2 - (-1)

(√2 - i ) & (√2 + i ) = 3

According to the solving the two **pairs** of **conjugates** with a product of 3:

(√2 - i ) & (√2 + i ).

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3. Perform the indicated operation. Show all necessary work.

(a) -1.424-2.9

(b) 1.424-(-2.9)

(c) -1.424-(-2.9) -0.576

Answer:

The result of the indicated **operations** are:

(a) -4.324.

(b) 4.324.

(c) 0.9

What are operations on decimals?(a) -1.424-2.9

Calculate the sum of the decimals,

The result is -4.324.

(b) 1.424-(-2.9)

Remove the bracket and change the sign in the middle and add the decimals to get the sum,

1.424 + 2.9 = 4.324.

(c) -1.424-(-2.9) -0.576

Remove the parentheses and change the sign,

-1.424 + 2.9 - 0.576

Add the negative decimal numbers and subtract them from the positive decimal number.

-2 + 2.9 = 0.9

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A(-3,-2) and M (2,6) find the coordinates of the other endpoint

The other **endpoint **of the **segment** is (7, 14)

From the question, we have:

On the **segment**, we have the following **endpoints**

Endpoint 1, A = (-3,-2)

Midpoint, M = (2,6)

The **midpoint** of the **segment **is calculated using

Midpoint (x, y) = 1/2 * (x1 + x2, y1 + y2)

Where

(x1, y1) = (-3,-2)

(x, y) = (2,6)

Substitute the known values in the above **equation**

So, we have

(2, 6) = 1/2 * (-3 + x, -2 + y)

Multiply both sides of the equation by 2

So, we have

(4, 12) = (-3 + x, -2 + y)

By comparison, we have

-3 + x = 4

-2 + y = 12

Evaluate the like terms in the above equation

So, we have

x = 7

y = 14

When the above solution is represented as a **coordinate**, we have the following

(x, y) = (7, 14)

Hence, the other **endpoint **of the **segment **where the segment has the endpoint (-3,-2) and midpoint (2,6) is (7, 14)

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EX: Let X₁ and X₂ have the ķ $ joint proib. density function. f(x₁, x₂ ) = [ Kx1,x2, 0<=x1,<=1,0<=x2<=1 and 0 elsewhere.find the value of k

**Answer:**

17

**Step-by-step explanation:**

To find k, we use

∫∞−∞∫∞−∞fXY(x,y)dxdy=1.

Thus, we have

1=∫∞−∞∫∞−∞fXY(x,y)dxdy=∫10∫10x+cy2dxdy=∫10[12x2+cy2x]x=1x=0dy=∫1012+cy2dy=[12y+13cy3]y=1y=0=12+13c.

Therefore, we obtain c=32.

To find P(0≤X≤12,0≤Y≤12), we can write

P((X,Y)∈A)=∬AfXY(x,y)dxdy,for A={(x,y)|0≤x,y≤1}.

Thus,

P(0≤X≤12,0≤Y≤12)=∫120∫120(x+32y2)dxdy=∫120[12x2+32y2x]120dy=∫120(18+34y2)dy=332.

We can find marginal PDFs of X and Y from their joint PDF. This is exactly analogous to what we saw in the discrete case. In particular, by integrating over all y's, we obtain fX(x). We have

Marginal PDFs

fX(x)=∫∞−∞fXY(x,y)dy, for all x,fY(y)=∫∞−∞fXY(x,y)dx, for all y.

Example

In Example 5.15 find the marginal PDFs fX(x) and fY(y).

**Answer:**

17

**Step-by-step explanation:**

okokokomokokokokokoko

combine the like terms in the expression 6a-4b-2a+c-3b+a

A. 5a- 7 b + c

B. 8a + b + c

C. 9 a b c

D. 3a + b + c

**Answer:**

A

**Step-by-step explanation:**

that is just straight forward work :

we group all like terms together (after all, addition and multiplications are commutative operations) :

6a - 2a + a - 4b - 3b + c = 5a - 7b + c

2 divided by the sum of 2 and a number

The given statement can be written as an **algebraic expression** as: 2/(x + 2).

A **mathematical statement **that expresses phrases or words using numbers, variables, and operation signs can be referred to as an **algebraic expression**.

To **translates** a given statement in to **algebraic expression**, we can use "x" as a variable to represent the unknown number in the given word problem.

For example, the number that is added to 2, in the above given scenario, can be represented as "x" in order to **translate** the given statement into an **algebraic expression**.

The word "sum" will be represented with the operation sign, "+". Therefore, "the sum of 2 and a number" will be **translated** as an **algebraic expression **as, (x + 2).

Therefore, the whole statement, "2 divided by the sum of 2 and a number" will then be expressed in **algebraic expression** as: 2/(x + 2).

In conclusion, the statement, "2 divided by the sum of 2 and a number", can be written as an **algebraic expression** as: 2/(x + 2).

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What is the equation of the line that passes through the point (5, -4) and

has an undefined slope?

**Answer:**

x=5

**Step-by-step explanation:**

If the slope is undefined, it is a vertical line. Since the slope-intercept equation is y=mx+b, but the slope is undefined, the equation would have to be the x coordinate, because that is the unchanging variable in a vertical line. So, the answer is x=5.

uestion #5 Nevaeh pays a total of $24 for two sets of paint brushes. Each set costs the same amount of money and contains three paint brushes. What is the cost per paint brush? A $12 B $8 С C $4 D $3 Question #6

If we have 2 sets, and each set has 3 brushes. We have 6 brushes in total, so each brush costs:

[tex]\frac{24}{6}=4[/tex]So the cost per brush is $4

We can only answer 1 question per session, so please begin a n

Find a formula for the nth term in this

arithmetic sequence:

a1 = 8, a2 = 4, a3 = 0, a4 = -4, ..

**Answer:**

an = -4n +12

**Step-by-step explanation:**

the nth term in this arithmetic sequence is : an = a1 + (n -1 )d

a1 = 8 d = a2-a1 = 4-8 = -4 ( common difrence)

an = 8 + (n -1 )(-4) = 8 - 4n +4

an = -4n +12

Brainliest po kapag tama, Please help na po, Need na po talaga.

Directions: Solve for the number of subsets of the following items. Input your answer inside the box provided for each item.

1. A = {U, S, T, A, C}

2. B = {red, blue, yellow}

1) If A = {U, S, T, A, C}, then the **Subsets** of {U, S, T, A, C} are;

as detailed below

2) If B = {red, blue, yellow}. then the **Subsets **of {red, blue, yellow} are;

as detailed below

What are the subsets?**Subsets** are a part of one of the mathematical concepts called Sets. For example If a set A is a collection of odd numbers and set B consists of {1,3,5}, then B is said to be a subset of A.

Thus;

1) **Subsets** of {U, S, T, A, C} are;

{U}, {S}, {T}, {A}, {C},

{U, S}, {U, T}, {S, T}, {U, A}, {S, A}, {T, A}, {U, C}, {S, C}, {T, C}, {A, C},

{U, S, T}, {U, S, A}, {U, T, A}, {S, T, A}, {U, S, C}, {U, T, C}, {S, T, C}, {U, A, C}, {S, A, C}, {T, A, C},

{U, S, T, A}, {U, S, T, C}, {U, S, A, C}, {U, T, A, C}, {S, T, A, C},

{U, S, T, A, C}

2) **Subsets **of {red, blue, yellow} are;

{Red}, {Yellow}, {Blue},

{Red, Yellow}, {Red, Blue}, {Yellow, Blue},

{Red, Yellow, Blue}

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The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?

Responses

A 3535

B 4949

C 3030

D 28

**Answer: 28**

**Step-by-step explanation: the other responses seem too much and do you know if the girls are 7 and the boys are 5? **

2. Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all,

how many gallons of paint will be used to paint the inside of the barn?

4 gallons of paint will be used to paint the **inside** of the barn.

In algebra, an **equation** is a declaration of equivalence that includes one or more variables or unknowable quantities.

Given Data

Jay needs 19 quarts more paint for the outside of his barn than for the inside.

he **uses** 107 quarts in all

Paint needed for **Inside** = x

Paint needed for **outside** = x + 19

So,

**Total** paint = Paint for outside + Paint for inside

107 = x + x+ 19

107 = 2x + 19

2x = 88

x = 44

Number of gallon = [tex]\frac{44}{4}[/tex]

Number of gallon = 4

4 gallons of paint will be **used** to paint the inside of the barn.

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7. Point E (11, 6) isreflected to E' (11,-6).8.frQ

By looking at the points, we can see that point E' is a reflection over the x-axis of the point E. That, since the y-component changed it's sign.

Consider the line y = (5/8)x - 4.

Find the equation of the line that is perpendicular to this line and passes through the point (8,4).

Find the equation of the line that is parallel to this line and passes through the point (8,4)..

Considering the definition of parallel and perpendicular line, you get:

the equation of the line that is perpendicular to this line and passes through the point (8,4) isA linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Parallel lineParallel lines are two lines that are always at the **same distance** from each other.

Two lines are parallel if they have the **same slope** and different y-intercepts.

Perpendicular lines are lines that intersect at right angles or 90° angles. If you **multiply the slopes** of two perpendicular lines, you get **–1**.

The line is **y= 5/8x -4**, with a value of slope m of 5/8 and ordinate to the origin b of -4.

If you multiply the slopes of two perpendicular lines, you get –1, the slope perpendicular line can be calculated as:

5/8× slope perpendicular line= -1

slope perpendicular line= (-1)÷ 5/8

*slope perpendicular line= -8/5*

So, the perpendicular line has a form of: y= -8/5x + b

The line passes through the *point (8, 4)*. Replacing in the expression for perpendicular line:

4= -8/5×8 + b

4= -64/5 + b

4 + 64/5= b

84/5= b

Finally, the **equation of perpendicular line** is **y= -8/5x + 84/5**.

In this case, the** line** is **y= 5/8x -4**, with a value of slope m of 5/8 and ordinate to the origin b of -4.

If two lines are parallel if they have the same slope, the parallel line has a slope of 5/8 and has a form of: y= 5/8x + b

The line passes through the *point (8, 4)*. Replacing in the expression for parallel line:

4= 5/8×8 + b

4= 5 + b

4 -5 = b

-1 = b

Finally, the **equation of parallel line** is y= 5/8x - 1

Learn more about **parallel and perpendicular line**:

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There are 3 circles and 9 squares. What is the simplest ratio of circles to squares?

**Answer:**

1 is to 3

Find the lowest common factor of both numbers, which is 3. Then divide it into both numbers

3 divided by 3 = 1

9 divided by 3 = 3

1:3

9 divided by 3 = 3

1:3

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