For each of the following polynomial find the following (3-3x^(3)-7x^(2))-(-2x^(2)-3x+7)

The value in the red box would be 19√7.

An algebraic expression is a made up of terms both constants and variables. For example, we can write -

2x + 3y + z

5x + y

x + 8y

Given is a pyramid as shown in the image.

We can write -

b{4} = 2√7 - 4√7 = - 2√7

b{4} = - 2√7

- 4√7 + b{9} = 3√28

b{9} = 3√28 + 4√7

b{9} = 6√7 + 4√7

b{9} = 10√7

b{6} = 10√7 - √7

b{6} = 9√7

b{2} =  - 2√7 + 6√7

b{2} = 4√7

b{3} = 3√28 + 9√7

b{3} = 6√7 + 9√7

b{3} = 15√7

b{1} = 4√7 + 15√7

b{1} = 19√7

Therefore, the value in the red box would be 19√7.

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{QUESTION IN ENGLISH -

Look at the following pyramid, in which each box has a number that is formed by adding the two bottom boxes.

What is the number that occupies the red box?}

(a) For a line, the ratio of the change in y to the change in x is called the slope of the line.
(b) The point-slope form of the equation of a line with slope m passing through (x1, y1) is y - y1 = m(x - x1).

The slope of a line is a measure of its steepness and is calculated by finding the ratio of the change in y (the rise) to the change in x (the run) between two points on the line.

The point-slope form of the equation of a line is a way to write the equation of a line when you know its slope and one point on the line. It is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is the point on the line.

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Answer:

3m-4

Step-by-step explanation:

marcie's age be x

her father age is four less than three times

the equation tht describes her father age is 3m-4=40

The transformation of the points and shapes after being transformed are calculated below

The coordinates of B in the figure is

B = (5, 1)

A translation of (x-4, y-3) means

B' = (5 - 4, 1 - 3)

B' = (1, -2)

Here, we have the following corresponding points

Pre = (2, 1)

Image = (-1, 2)

This represents

(x, y) = (-y, x)

This represents (d) 270° clockwise rotation

Given that the smaller figure is gotten from a bigger figure

Then the dilation is a reduction and the scale factor could be 1/2 or 1/4

We have

P = (3, -2) and S = (4, -5)

For the first transformation, we have

(x - 2, y)

P' = (1, -2) and S' = (2, -5)

For the second, we have

P'' = (1, 2) and S'' = (2, 5)

Here, we have

A = (-2, -5)

This means that the new ordered pair of point A is

A' = (-2, -5) * 1/2

A' = (-1, -2.5)

Hence, the new ordered pair of point A is (-1, -2.5)

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Elevation = 0 - 1050 × Time or Elevation = -1050t, where Elevation is in feet and Time is in hours, is the expression that describes the connection between the submarine's elevation and time.

Seconds, mins max, minutes, days, periods, months, and years are the fundamental elements of time. To determine the time of day, we use secs, minutes, as well as hours; to determine the date, we use times, months, and years. The lesser measures of time are seconds, minutes, and hours, while the larger ones are days, months, and years.

Assuming that the submarine is descending at a constant rate, we can use the equation:

Elevation = Initial Elevation - Rate × Time

where Initial Elevation is the starting elevation (in this case, the surface), Rate is the rate of descent, Time is the time elapsed, and Elevation is the current elevation.

In this case, the Initial Elevation is 0 feet (the surface), the Rate is -1050 feet per hour (since the submarine is descending at a rate of 1050 feet per hour), and Time is the elapsed time in hours.

Therefore, the equation that represents the relationship between the submarine's elevation and time is:

Elevation = 0 - 1050 × Time

or

Elevation = -1050t

where Elevation is in feet and Time is in hours.

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Answer:

[tex]\dfrac{\text{d}y}{\text{d}x}=4x-1[/tex]

Step-by-step explanation:

Differentiating from First Principles is a technique to find an algebraic expression for the gradient at a particular point on the curve.

[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Differentiating from First Principles}\\\\\\$\text{f}\:'(x)=\displaystyle \lim_{h \to 0} \left[\dfrac{\text{f}(x+h)-\text{f}(x)}{(x+h)-x}\right]$\\\\\end{minipage}}[/tex]

The point (x + h, f(x + h)) is a small distance along the curve from (x, f(x)).

As h gets smaller, the distance between the two points gets smaller.

The closer the points, the closer the line joining them will be to the tangent line.

To differentiate y = 2x² - x + 3 using first principles, substitute f(x + h) and f(x) into the formula:

[tex]\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{2(x+h)^2-(x+h)+3-(2x^2-x+3)}{(x+h)-x}\right][/tex]

Simplify the numerator:

[tex]\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{2x^2+4xh+2h^2-x-h+3-2x^2+x-3)}{x+h-x}\right][/tex]

[tex]\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{2x^2-2x^2+x-x+3-3+4xh+2h^2-h)}{h}\right][/tex]

[tex]\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{4xh+2h^2-h)}{h}\right][/tex]

Separate into three fractions:

[tex]\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{4xh}{h}+\dfrac{2h^2}{h}-\dfrac{h}{h}\right][/tex]

Cancel the common factor, h:

[tex]\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[4x+2h-1\right][/tex]

As h → 0, the second term → 0:

[tex]\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=4x-1[/tex]

Answer:

1/  24 bottle of water for $3 is a better buy

2/ $0.045

Step-by-step explanation:

12 bottles of water for $2

2 / 12 =$0.17

So, it costs $0.17 for each bottle of water.

24 bottles of water for $3

3 / 24 = $0.125

So, it costs $0.125 for each bottle of water.

0.17 - 0.125 = $0.045

So, 24 bottles of water for $3 is a better buy by $0.045

The first experiment is not a binomial experiment because it does not meet the criteria of a binomial experiment. The criteria of a binomial experiment are:

1. The experiment consists of a fixed number of trials, n.
2. Each trial has only two possible outcomes: success or failure.
3. The trials are independent of each other.
4. The probability of success, p, remains constant for each trial.

In the first experiment, the trials are not independent of each other because the marbles are selected without replacement. This means that the probability of success changes with each trial. Therefore, it is not a binomial experiment.

The second experiment is a binomial experiment because it meets the criteria. There are a fixed number of trials (100), each trial has only two possible outcomes (steel penny or not steel penny), the trials are independent of each other (one penny is selected and then replaced), and the probability of success remains constant (1% for each trial). Therefore, p = 0.01 and n = 100.

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You can write an equivalent fraction with a smaller numerator and denominator.

When we take a fraction with the ratio of two integers =

Let the odd numerator be 3, and

Let the odd denominator be 9

therefore, now that we have to determine if one can write an equivalent fraction with a smaller numerator and denominator, the ratio will be as follows:

3:9 or we can similarly say 3/9

when we further simplify it, we will be getting the value of 1:3 or 3/9

hence, this shows that you can write an equivalent fraction with a smaller numerator and denominator.

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The product that results in an irrational number is given as follows:

[tex]\sqrt{84} \times 21[/tex]

21 is a rational number, hence for the product to be irrational, we need an irrational number, which is the non-exact square root of 84.

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1- This is a rotation matrix because the determinant is 1 and the transpose is equal to the inverse. 2- The line passing through the origin and the point (1, 1, 1) is the axis of rotation. 3- 120° is the angle of rotation.

1. To show that this is a rotation matrix, we need to check that the matrix satisfies the following properties:
- The determinant of the matrix is 1.
- The transpose of the matrix is equal to its inverse.
The matrix that transforms a vector (x1, x2, x3) into (x2, x3, x1) is:
| 0  1  0 |
| 0  0  1 |
| 1  0  0 |
The determinant of this matrix is:
det = 0×0×0 + 1×1×1 + 0×0×0 - 0×0×1 - 1×0×0 - 0×1×0 = 1
The transpose of this matrix is:
| 0  0  1 |
| 1  0  0 |
| 0  1  0 |
The inverse of this matrix is:
| 0  0  1 |
| 1  0  0 |
| 0  1  0 |
Since the determinant is 1 and the transpose is equal to the inverse, this is a rotation matrix.

2. To find the axis of rotation, we need to find the eigenvector of the matrix corresponding to the eigenvalue of 1. The characteristic equation of the matrix is:
| -λ  1  0 |
| 0  -λ  1 |
| 1  0  -λ | = 0
Expanding the determinant, we get:
-λ × (-λ × (-λ)) - 1 × 1 x 1 = 0
λ = 1
The eigenvector corresponding to the eigenvalue of 1 is:
| -1  1  0 | | x1 | = | 0 |
| 0  -1  1 | | x2 |   | 0 |
| 1  0  -1 | | x3 |   | 0 |
Solving this system of equations, we get:
x1 = x2 = x3
So the eigenvector is:
| 1 |
| 1 |
| 1 |
This means that the axis of rotation is the line passing through the origin and the point (1, 1, 1).

3. To find the angle of rotation, we can use the formula:
cosθ = (trA - 1)/2
Where trA is the trace of the matrix A. The trace of the matrix is:
trA = 0 + 0 + 0 = 0
So the angle of rotation is:
cosθ = (0 - 1)/2 = -1/2
θ = 120°
Therefore, the angle of rotation is 120°.

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Answer:

a) The data would be discrete because it can only take on a finite number of values.

The teacher used a scale of integers from 0 to 10, which means that the data can only take on one of those 11 values. Continuous data, on the other hand, can take on an infinite number of values within a given range.

b) The data would be ordinal data because it can be ordered or ranked.

The scale of integers from 0 to 10 represents a ranking of how much homework was completed, with 0 being the lowest and 10 being the highest. Nominal data, on the other hand, cannot be ordered or ranked and is used to classify or categorize things.

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The simplified expression is (8x-7) / ((3x-2)[tex]^{((2)/(3)))}[/tex].

To simplify the expression (3(3x-2)[tex]^{((1)/(3))}[/tex] - (x-1)(3x-2)[tex]^{(-(2)/(3)))/((3x-2)}[/tex][tex]^{((2)/(3)))}[/tex] first we need to perform the indicated operations.

1. Using the power rule, we can rewrite (3x-2)[tex]^{((1)/(3))}[/tex] as 3x-2 and (3x-2)^(-(2)/(3)) as 1/(3x-2).  

Therefore, the expression can be rewritten as (3(3x-2) - (x-1)/(3x-2)) / ((3x-2)[tex]^{((2)/(3)))}[/tex].

2.Now, using the distributive property, we can simplify the expression to (9x-6-(x-1)) / ((3x-2)[tex]^{((2)/(3)))}[/tex].

Finally, simplifying further, we get the expression (8x-7) / ((3x-2)[tex]^{((2)/(3)))}[/tex].

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5. 24 hours over 7 days (Because 1 day = 4 hrs)

6. 16 limes over 2 bags (1 bag = 8 limes)

7. 54 cups over 9 boxes (6 cups = 1 box)

8. 27 meters (or minutes) over 3 seconds (9 meters over 1 second)

9. 36 lbs over $24 ($1 = 1.5lbs)

Answer:

24

Step-by-step explanation:

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

Let x be the measure of the third angle.

Then we have:

102 + 54 + x = 180

Simplifying the left side:

156 + x = 180

Subtracting 156 from both sides:

x = 180 - 156

x = 24

Therefore, the measure of the third angle is 24 degrees.

Answer:

6x + 3

Step-by-step explanation:

Answer:

6x + 3

Step-by-step explanation:

x = a number

6 times a number (x) can also be written as 6x.

Plus 3 is simply adding 3, therefore, it is written as 6x+3

This is due tο the fact that as x grοws, the quadratic cοmpοnent in g(x) and f(x), respectively, predοminates οver the cοnstant term and the linear term.

A functiοn is a mathematical fοrmula that relates every element in οne set, knοwn as the dοmain, tο a single element in anοther set, knοwn as the range. The relatiοnship between input and οutput, the relatiοnship between a variable and its rate οf change, and many οther real-wοrld phenοmena are all examples οf this basic mathematical idea. Algebraic expressiοns, graphs, tables, and even wοrds can be used tο describe functiοns. They are a crucial instrument in many disciplines, including cοmputer science, statistics, and calculus.

given:

Fοr rising values οf x, the fοllοwing functiοn exhibits the fastest grοwth:

h(x) = 6x² + 1.

This is due tο the fact that as x grοws, the quadratic cοmpοnent in g(x) and f(x), respectively, predοminates οver the cοnstant term and the linear term. As a result, οf the functiοns listed, h(x) grοws at the fastest pace.

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Answer:

Below

Step-by-step explanation:

12 000 * r = 9600

r = 9600  / 12000 = .8  

 So multiply each term by .8 to get the next term:

year 1     12 000

year 2    12 000 * .8

year 3    12 000 * .8  * .8

Year 4   12 000 * .8 * .8  * .8    = 12 000 * .8^3

.

.

year 7  12 000 * (.8)^6 = $ 3145.73

an = a1 r^(n-1)

an = 12 000 (.8)^n-1

Answer:

its nissa

Step-by-step explanation:

Ez

The minimum payment would be $23.70 if we only used the 15% rule.

Minimum payment refers to the smallest amount of money that a borrower or a credit card holder must pay towards their outstanding balance each billing cycle in order to avoid late fees. This minimum payment is usually a percentage of the total balance due or a fixed dollar amount whichever is greater.

The minimum payment is either 15% of the new balance or $25, whichever is greater.

If the new balance is $158, we can first find 15% of the new balance:

15% of $158 = 0.15 * $158 = $23.70

So, the minimum payment would be $23.70 if we only used the 15% rule.

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Answer:

Let x be the number of additional miles Tammy needs to run this week to reach her goal of at least 10 miles per week.

To determine the inequality, we can start with the given information and use the inequality symbol for "greater than or equal to" (≥):

4.5 + x ≥ 10

This inequality states that the sum of the distance Tammy has already run this week (4.5 miles) and the additional distance she still needs to run (x miles) must be greater than or equal to 10 miles in total for her to reach her goal.

To solve for x, we can start by subtracting 4.5 from both sides of the inequality:

x ≥ 10 - 4.5

Simplifying, we get:

x ≥ 5.5

Therefore, Tammy must run at least 5.5 more miles this week to reach her goal of at least 10 miles per week.

Step-by-step explanation:

wag na mag delete pls lng ang bob0 nyo namn pag na delete nyo toh mga admin

Answer:

[tex]27\pi[/tex]

Step-by-step explanation:

The area of a circle is given by the formula [tex]A = \pi r^2[/tex].

We are given the radius of this circle, so we can plug in.

[tex]A = \pi r^2\\A=6^2\pi \\A=36\pi[/tex]

Seeing that there is [tex]\frac{3}{4}[/tex] of the circle left, multiply [tex]36\pi[/tex] by [tex]\frac{3}{4}[/tex].

[tex]36\pi(\frac{3}{4})\\ 9\pi (3)\\27\pi[/tex]

The point estimate for p(cap) and q(cap) as per defined condition of mainstream media is equal to 0.700 and 0.300 respectively.

Total number of adults in the country = 4393

Number of adults think mainstream media is more interested in making money = 3074

The point estimate for p, denoted as p(cap),

p(cap) represents proportion of individuals in the sample.

Individual who think mainstream media is more interested in making money than in telling the truth.

This implies,

p(cap)

= 3074/4393

≈ 0.700

The point estimate for q, denoted as q(cap), is the proportion of individuals in the sample.

Individuals who do not think mainstream media is more interested in making money than in telling the truth.

This implies,

q(cap)

= 1 - p(cap)

= 1 - 0.700

≈ 0.300

Therefore, the point estimate for p(cap) is approximately 0.700 and the point estimate for q(cap) is approximately 0.300.

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The above question is incomplete, the complete question is:

Let p be the population proportion for the following condition. Find the point estimates for p and q.

A study of 4393 adults from country A, 3074 think mainstream media is more interested in making money than in telling the truth.

The point estimate for p, p(cap), is (Round to three decimal places as needed.)

The point estimate for q, q(cap), is (Round to three decimal places as needed.)

P therefοre has a value οf 45/2 and x = -0.4.

A mathematical assertiοn that twο expressiοns are equivalent is knοwn as an equatiοn. It frequently includes οne οr mοre variables, which are unknοwable things with a wide range οf pοssible values. Finding the value οr values οf the variable that make the equatiοn true is the aim οf equatiοn sοlving. Mοst equatiοns take the fοrm: expressiοn is alsο expressiοn. Fοr instance, the fοrmula x + 2 = 5 states that the prοduct οf x and 2 is 5.

given

If the answer tο the equatiοn px² + 16x + 4 = 0 is x=-2/3, we can be cοnfident that we will οbtain an equivalence if we replace x = -2/3 in the fοrmula.

Adding x=-2/3 tο the sοlutiοn results in:

p(-2/3)² + 16(-2/3) + 4 = 0

Simplifying the phrase:

(4/9)p - (32/3) + 4 = 0

(4/9)p = (32/3) - 4

(4/9)p = (20/3)

By adding (9/4) tο bοth ends, we get:

p = (20/3) * (9/4)

p = 15

P therefοre has a value οf 45/2.

For x,

15x² + 16x + 4 = 0

3x(5x + 2) + 2(5x + 2)

(3x + 2)(5x + 2)

x = -2/3 and x = -0.4

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From the system of equations one apple pie costs $6 and one lemon meringue pie costs $7.

A group of equations that need to be solved concurrently is referred to as a system of equations. The values of the variables that satisfy each and every one of the system's equations are the solutions to the corresponding equations. Systems of equations can be solved using a variety of techniques, such as substitution, elimination, and graphing. Systems of equations can be used to simulate situations in business, science, and engineering when there are several variables at play. Systems of differential equations, linear equations, and quadratic equations are a few examples of systems of equations.

Let us suppose the cost of the apple pie = x.

Let us suppose the cost of the meringue pie = y.

Given that, Dan sold 14 apple pies and 9 lemon meringue pies for a total of $147.

14x + 9y = 147

For Jenny:

8x + 12y = 132

Using the elimination method we have:

Multiplying Dan's equation by 4 gives:

56x + 36y = 588

Multiplying Jenny's equation by 3 gives:

24x + 36y = 396

Subtracting the second equation from the first:

32x = 192

x = 6

Substitute the value of x in equation:

14(6) + 9y = 147

84 + 9y = 147

9y = 63

y = 7

Hence, from the system of equations one apple pie costs $6 and one lemon meringue pie costs $7.

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The equation of the line through the points (-3,7) and (2, 17) is y = 2x + 13.

To find the equation of the line through the points (-3,7) and (2, 17), we need to first find the slope of the line and then find the y-intercept.

Step 1: Find the slope of the line
The slope of a line is given by the formula:
m = (y2 - y1)/(x2 - x1)
Where (x1, y1) and (x2, y2) are the two points on the line.

Plugging in the given points, we get:
m = (17 - 7)/(2 - (-3))
m = 10/5
m = 2

Step 2: Find the y-intercept
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We can plug in one of the given points and the slope we found to solve for b.

Using the point (-3,7), we get:
7 = 2(-3) + b
7 = -6 + b
b = 13

Step 3: Write the equation in slope-intercept form
Now that we have the slope and y-intercept, we can write the equation of the line in slope-intercept form:
y = 2x + 13

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Answer:

C. 10 sandwiches

Step-by-step explanation:

Each section of a box plot makes up 25% of it. Since Q1 is marked by $18, that means 25% of 40 sandwiches can be bought with it. So, [tex]\frac{40}{4}[/tex] = 10.

The question involves a basic division operation in Mathematics. Without the cost of a sandwich, it's impossible to answer. If provided, just divide the total money by the price of a sandwich to find the number that can be purchased.

The student's question involves simple division, which is a topic under the subject of Mathematics. To determine how many sandwiches one can afford with $18, it is necessary to have the cost of one sandwich. Unfortunately, without the given price of a single sandwich as indicated in the boxplot, we cannot compute the answer.

But if we are provided the cost of a single sandwich, we would simply divide the total amount of money ($18) by the cost of a single sandwich. This would give us the total number of sandwiches affordable with the given amount of money.

Assuming a sandwich costs $2, here is how the computation would be: $18 ÷ $2 = 9 sandwiches. So, with $18, we could afford 9 sandwiches at $2 each.

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The solution of the given system of the equation will be (0, 1), and (4, 9).

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equations such that,

y = x² - 2x +1

y = 2x + 1

By subtracting both equations we will get,

x²-2x +1 - 2x -1 = 0

x² -4x = 0

x = 0, x = 4

at this value

y = 1, y = 9

therefore, the solution of the given system of the equation will be (0, 1), and (4, 9).

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Answer:

the answer in this is letter A

Kevin buys a motorcycle for $11,000 with an annual interest rate of 10.75% and a 108-month term, his monthly payments will be $200.39 if he makes a down payment of $2,300.

The monthly payment for a $11,000 loan with an annual interest rate of 10.75% and a 108-month term can be calculated using the formula for the present value of an annuity:

[tex]PV = PMT * (1 - (1 + r/n)^{-n*t}) / (r/n)[/tex]

where PV is the present value of the loan, PMT is the monthly payment, r is the annual interest rate, n is the number of compounding periods per year, and t is the loan term in years.

With a down payment of $2,300, the loan amount is reduced to $8,700 ($11,000 - $2,300). Plugging in the values, we get:

PV = $8,700

r = 0.1075

n = 12 (since payments are monthly)

t = 9 (108 months / 12)

PMT = $200.39 (rounded to the nearest cent)

Kevin needs to pay off a loan of $11,000, which he plans to do over a period of 108 months with an annual interest rate of 10.75%. However, if he makes a down payment of $2,300, his loan amount will be reduced to $8,700. Using the formula for the present value of an annuity, we can calculate his monthly payments, which come out to be $200.39. Therefore, his monthly payments will be $200.39 if he makes a down payment of $2,300.

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Answer:

1.4

Step-by-step explanation:

If 6/p =15/3.5

You can cross multiply the equation

6x3.5 =15P

21=15P

Divide both sides by 15

21/15 = P

1.4 =P