-2x + y =5

SOLVE FOR Y. THEN MAKE A TABLE OF ANSWERS

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:


Related Questions

if v²=u²+2gs, find te value of s when v = 25 , u = 12 and g = 10

Answers

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.




Which represents the solution(s) of this system of equations?


(4, 4)

(–4, –12)

(4, 4) and (–4, 12)

(–4, 4) and (4, 12)

The first two steps in determining the solution set of the system of equations, y = x2 6x + 12 and y

Answers

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

24 To raise money for charity, Jalaj walks 22 km, correct to the nearest kilometre, every day for 5 days.
(a) Complete the statement in the answer space for the distance, d km, he walks in one day.

Answers

The distance travelled by Jalaj in one day is 4.4 km.

Distance between two things or points is measured, and it can sometimes be quantitatively and sometimes qualitatively. The word "distance" in physics can refer to a physical length or, more commonly, to an estimate based on other factors (e.g. "two counties over").

The distance between any two points in space is equal to the length of the shortest path between them, or a straight line. This is the typical definition of distance in classical physics, especially in Newtonian mechanics.

Numerous techniques can be used to gauge straight-line lengths. Over instance, it can be done directly with a ruler or indirectly (for long distances) using interferometry or a radar (for very short distances). The cosmic distance ladder is a set of techniques for measuring extremely long distances.

Jalaj walks 22 km in 5 days.

Therefore in one day the distance travelled ,  d = 22 ÷ 5 = 4.4 km

Hence the total distance travelled in 1 day is 4.4 km.

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26 Solve for c. 31° 19 c = [?] C Round your final answer to the nearest tenth. C Law of Cosines: c² = a² + b² - 2ab-cosC​

26 Solve for c. 31 19 c = [?] C Round your final answer to the nearest tenth. C Law of Cosines: c = a

Answers

Answer:

c = 13.8

Step-by-step explanation:

\(c^2=a^2+b^2-2ab\cos C\\c^2=19^2+26^2-2(19)(26)\cos 31^\circ\\c^2=190.1187069\\c\approx13.8\)

Therefore, the length of c is about 13.8 units

can you please hepl me

can you please hepl me

Answers

Answer:

Step-by-step explanation:

what three things should you accomplish in the process of determining the credibility of evidence

Answers

In the process of determining the credibility of evidence, three key things that should be accomplished are: evaluating the source, assessing the reliability of the information, and considering potential biases or conflicts of interest.

When assessing the credibility of evidence, it is important to first evaluate the source. This involves examining the expertise, authority, and reputation of the individual or organization providing the evidence. A credible source is one that has relevant qualifications, experience, and a history of accurate and reliable information.

Next, it is crucial to assess the reliability of the information itself. This includes examining the methods used to gather the evidence, checking for proper research methodology, and verifying that the data or facts presented are accurate and supported by valid sources. Reliable evidence is based on sound research and trustworthy data.

Lastly, it is essential to consider potential biases or conflicts of interest that may influence the evidence. This involves examining any possible motivations, affiliations, or financial interests that could introduce bias into the information being presented. Understanding the potential biases helps to evaluate the objectivity and integrity of the evidence.

By accomplishing these three tasks—evaluating the source, assessing reliability, and considering biases—the process of determining the credibility of evidence becomes more thorough and reliable, allowing for informed decision-making based on trustworthy and valid information.

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In the process of determining the credibility of evidence, there are three important tasks to accomplish:

Evaluate the source: Assessing the credibility of the source is crucial to determine the reliability of the evidence. Consider the expertise, reputation, and qualifications of the author or organization presenting the evidence. Investigate if they have a bias or potential conflicts of interest that could influence the reliability of the information. Look for reputable sources with a track record of accuracy and reliability.

Examine the methodology: Understanding the methodology used to collect or generate the evidence is essential. Evaluate whether the research design, data collection methods, and analysis techniques are appropriate and rigorous. Look for transparency in how the evidence was obtained, including the sample size, data sources, and potential limitations. A well-designed and well-executed methodology enhances the credibility of the evidence.

Consider corroboration: Corroborating the evidence with multiple independent sources can strengthen its credibility. Look for consistency and agreement among different sources or studies on the same topic. Cross-referencing information with reliable and diverse sources helps reduce the impact of potential biases and increases confidence in the evidence. Multiple sources supporting similar conclusions provide a more robust foundation for credibility.By evaluating the source, examining the methodology, and considering corroboration from multiple sources, you can make informed judgments about the credibility and reliability of the evidence.

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what is the condition for the first dark fringe through a single slit of width w?

Answers

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

How we get the condition for the first dark fringe?Determine the condition for destructive interference at the first dark fringe.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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What is the product?

(2 x minus 1)(x + 4)

2 x squared minus 4
2 x squared + 4
2 x squared + 7 x minus 4
2 x squared minus 7 x minus 4

Answers

The product of the given expressions is 2x squared + 7x minus 4.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expressions are 2x - 1 and x + 4.

We have to multiply both the expressions.

(2x - 1) (x + 4) = (2x . x) + (-1 . x) + (2x . 4) + (-1 . 4)

                      = 2x² - x + 8x - 4

Adding the like terms together,

(2x - 1) (x + 4) = 2x² + 7x - 4

Hence the multiplication of the given expression gives the expression 2x² + 7x - 4.

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How can you rearrange two digits in the number 2,957,648 so that the value of the digit 4 is 10 times greater?

Answers

Answer:

2,957,468

Step-by-step explanation:

Each digit to the left is worth 10 times more than the same digit one place to the right.

If 2,957,648 becomes 2,957,468, the 4 moves from the tens place to the hundreds place, and now its value is 400 instead of 40, so it's 10 times greater.

What is the function graphed below?
O y= x + 0.5
O y= 2 x + 0.5
O y=x
O y=(0.5)

What is the function graphed below?O y= x + 0.5O y= 2 x + 0.5O y=xO y=(0.5)

Answers

Answer:

A.  y= x + 0.5

Step-by-step explanation:

We see that:

y- intercept is b = 0.5, point (0, 0.5) Rate of change is m = 1 as each next value of y is greater by 1.

The function is:

y = mx + by = x + 0.5

Correct choice is A

What is the growth factor when something is decreasing by:
15.7%
0.12%

Answers

When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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PLEASE HELP


CD Showcase Club charges a membership fee of $15 and then $10.50 for each CD purchased. CD Budget Club charges a membership fee of $5 and then $11.75 for each CD. (answer a,b, and c)




a) Describe these charges with a system of equations.



b) Solve the system to find the number of CDs purchased for which the total changes at each club are the same.




c) If you think you will be buying many, many CDs, which club is less expensive? Explain your reasoning.

Answers

a) The equation 15 + 10.50x = 5 + 11.75y

b) x = 6.375y

c) CD Budget Club is less expensive as the cost per CD is lower.

CD Budget Club is cheaper with lower cost per CD. The equation 15 + 10.50x = 5 + 11.75y is a system of equations that describes the charges at CD Showcase Club and CD Budget Club. The left side of the equation represents CD Showcase Club, where the members pay a membership fee of $15 and then $10.50 for each CD purchased. The right side of equation represents CD Budget Club, where the members pay a membership fee of $5 and then $11.75 for each CD purchased. Solving this system of equations, we get x = 6.375y, which means that if you buy 6.375 CDs from CD Showcase Club, the total cost would be the same as buying 1 CD from CD Budget Club. Therefore, if you are planning on buying many CDs, CD Budget Club is the better option as it offers a lower cost per C

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Name the plane that contains points A, B, and C.
B
S
с
А
D
T
5

Name the plane that contains points A, B, and C.BSDT5

Answers

Answer:

Plane 'S'

Step-by-step explanation:

Since a plane is a two dimensional surface on which infinitely many points may lie.

In the picture attached, two planes (two dimensional) have been given.

Plane S

Plane T

Plane 'S' contains three points A, B and C and plane 'T' contains points D and E.

Therefore, the plane which contains points A, B and C is Plane 'S'.

The plane that contains points A, B and C is the plane S.

Plane Definition

A plane is simply a 2-dimensional surface or figure.

The above definition of a plane means that, there are only two planes in the given figure.

Plane in the figure

These planes are:

Plane SPlane T

On plane S, we have  points A, B and C On plane T, we have points D and E.

Hence, the plane which contains points A, B and C is plane S.

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16. This exercise makes use of graphing transformations. (See Chapter 1, Section 1.3.) (a) Starting with the graph of y = x, suppose that the graph is stretched vertically by a factor of m. What is the equation of the new line? (b) Starting with the graph of y = x, suppose that the graph is shifted vertically by the amount b. What is the equation of the new line?
(c) Starting with the graph of y = x, suppose that the graph is stretched vertically by a factor of m and then shifted vertically by the amount b. What is the equation of the new line?
(d) Starting with the graph of y = x, suppose that the graph is shifted vertically by the amount b and then stretched vertically by the factor m. What is the equation of the new line?
(e) By what amount must the graph of y = mx be shifted horizontally to produce the line with equation y = mx + b? (f) By what angle must the horizontal line with equation y = 0 be rotated to obtain the line with equation y mx?

Answers

(a) If the graph of y = x is stretched vertically by a factor of m, the equation of the new line is y = mx.

When the graph of y = x is vertically stretched by a factor of m, all the y-coordinates are multiplied by m. This means that for any given x-value, the corresponding y-value will be mx. Therefore, the equation of the new line becomes y = mx.

(b) If the graph of y = x is shifted vertically by the amount b, the equation of the new line is y = x + b.When the graph of y = x is vertically shifted by the amount b, all the y-coordinates are increased by b. This means that for any given x-value, the corresponding y-value will be x + b. Therefore, the equation of the new line becomes y = x + b.

(c) If the graph of y = x is stretched vertically by a factor of m and then shifted vertically by the amount b, the equation of the new line is y = mx + b.When the graph of y = x is first vertically stretched by a factor of m and then vertically shifted by the amount b, the y-coordinates are first multiplied by m and then increased by b. This means that for any given x-value, the corresponding y-value will be mx + b. Therefore, the equation of the new line becomes y = mx + b.

(d) If the graph of y = x is shifted vertically by the amount b and then stretched vertically by the factor m, the equation of the new line is y = mx + b.The order of transformations does not affect the final equation. Whether the graph is first shifted vertically by the amount b and then stretched vertically by a factor of m, or vice versa, the resulting equation remains y = mx + b.

(e) The graph of y = mx must be shifted horizontally by the amount b to produce the line with equation y = mx + b.The equation y = mx represents a line with a slope of m passing through the origin (0,0). To obtain the line y = mx + b, the entire graph must be shifted horizontally by the amount b. This means that all the x-coordinates need to be increased by b, resulting in a shift of the line along the x-axis by b units.

(f) The horizontal line with equation y = 0 does not need to be rotated to obtain the line with equation y = mx.The line with equation y = mx has a slope of m and passes through the origin (0,0). It is already aligned with the x-axis and does not require any rotation. The equation y = 0 represents a horizontal line passing through the y-axis, which is perpendicular to the x-axis. Thus, no rotation is needed to obtain the line with equation y = mx.

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Calculate the value
of the unknown
coefficient b of a
quadratic equation
when the
discriminant of that
equation is known.

3x² + bx + 2 = 0; Coefficient = 12

Answers

Answer:

The value of b is either + 6 or -6

Step-by-step explanation:

Here, given that we have the value for the discriminant, we want to calculate the value for the coefficient of x

mathematically, the discriminant can be calculated using the equation;

D = b^2 - 4ac

a represents the coefficient of x^2 which is 3

b represents the coefficient of x given as b

2 represents the last number

D is the discriminant = 12

So we have that;

12 = b^2 - 4(3)(2)

12 = b^2 - 24

b^2 = 24 + 12

b^2 = 36

b = √36

b = +6 or -6

There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing two red marbles in a row.

Answers

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

Briefly describe each of the eight guidelines for evaluating statistical studies.

Answers

8 Guidelines for Critically Evaluating a Statistical Study

1. Identify the Goal, Population, and Type of Study

2. Consider the Source

3. Examine the Sampling Method

4. Look for Problems in Defining or Measuring the Variables of

Interest

5. Watch Out for Confounding Variables

6. Consider the Setting and Wording of Any Survey

7. Check That Results Are Fairly Represented in Graphics or

Concluding Statements

8. Stand Back and Consider the Conclusions

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someone answer this correctly please, I’ll give you brainliest and your getting 50 points someone answer this no fraud answers don’t be weird.

someone answer this correctly please, Ill give you brainliest and your getting 50 points someone answer

Answers

The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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On an 10-sided die, what is P(7) ?

Answers

Answer:

1/10

Step-by-step explanation:

7 is one number in a 10 sided die

What is the Y-intercept and The slope of the equation?
2x+7y=14

Can someone please help me with this!!!

Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9

Y-intercept choices
A. 2
B. 7
C. -2
D. 0

Answers

Answer:

Slope = -2/7; Y intercept = +2

Step-by-step explanation:

First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:

y = mx + b

Here's how:

\(2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2\)

The above shows this equation in slope intercept form: y = -2/7x + 2.

The slope of this line is -2/7 while the y intercept is 2!

*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!

Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3

A portfolio is 70% invested in an index fund and 30% in a risk-free asset. The index fund has a standard deviation of returns of 15%. Calculate the standard deviation for the total portfolio returns.

Answers

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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17.
Sean spent $41.20 ordering books from an online
store. The shipping and handling charge was 5%
of the total order. How much did Sean spend on
shipping and handling?
A. $0.42
B.
$0.85
C. $2.06
D. $8.24

Answers

Answer:

the awnser is c

Step-by-step explanation:

first you take 41.20$ and you subtract you're 5%

therefore that gives you 39.14$

subtract 39.14$ from 41.20

and you get a left over of 2.06$

therefore c is you're awnser

A percentage is a number or ratio expressed as a fraction of 100.

The amount spent on shipping and handling charges is $2.06.

What is a percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Example:

50% = 50 / 100 = 1/2

20% = 20 / 100 = 1/5

25% = 25 / 100 = 1 / 4

10% = 10 / 100 = 1 / 10

We have,

Total spending on books = $41.20

Shipping and handling charges = 5% of $41.20

The amount spent on shipping and handling charges:

= 5% of $41.20

= 5/100 x 41.20

= 5/100 x 4120/100

= 5 x 4120 / 10000

= 20600 / 10000

= $2.06

Thus the amount spent on shipping and handling charge is $2.06.

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A stock has a beta of 1.15, the expected return on the market is 10.3 percent, and the risk-free rate is 3.1 percent. What must the expected return on this stock be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16)

Answers

The expected return on this stock should be 11.38%

The expected return on a stock can be calculated using the Capital Asset Pricing Model (CAPM) formula:

Expected Return on Stock = Risk-Free Rate + Beta * (Expected Return on Market - Risk-Free Rate)

Given that the beta of the stock is 1.15, the expected return on the market is 10.3 percent, and the risk-free rate is 3.1 percent, we can plug these values into the formula:

Expected Return on Stock = 3.1% + 1.15 * (10.3% - 3.1%)

Expected Return on Stock = 3.1% + 1.15 * 7.2%

Expected Return on Stock = 3.1% + 8.28%

Expected Return on Stock = 11.38%

Therefore, the expected return on this stock should be 11.38%.

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Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form?
Calculate StartFraction 8 minus (negative 4) Over negative 1 minus 5 EndFraction = StartFraction 12 Over negative 6 EndFraction = negative 2..
Calculate StartFraction negative 1 minus 5 Over 8 minus (negative 4) EndFraction = StartFraction negative 6 Over 12 EndFraction = negative one-half..
Find that the point at which the line intersects with the line y = 0 is (3, 0).
Find that the point at which the line intersects with the line x = y is (2, 2).

Answers

Answer:

The answer is A.

Step-by-step explanation:

Took it on Edge (:



Use the triangle at the right.

c. Suppose the side lengths and height of the triangle were doubled. What effect would this have on the perimeter? the area? Justify your answer.

Answers

Doubling the side lengths and height of the triangle will result in the perimeter being doubled and the area being quadrupled.

What effect would doubling the side lengths and height have on the perimeter and area of the triangle?

When the side lengths and height of a triangle are doubled, each side length is multiplied by 2, and the height is also multiplied by 2.

Perimeter: The perimeter of a triangle is the sum of the lengths of its three sides. Since each side length is doubled, the perimeter will be doubled as well. This is because if a side length was initially "x," after doubling it becomes "2x." Therefore, the new perimeter will be 2 times the original perimeter.

Area: The area of a triangle is given by the formula A = (1/2) ˣ base ˣ height. When the height is doubled, the new area becomes A' = (1/2) ˣ base ˣ (2 ˣ height) = 2 ˣ (1/2) ˣ base ˣ height = 2A. This shows that the area is quadrupled because it is multiplied by 2.

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HELPPPP PLS (marking brainliest!!)
The measures of the angled in triangle UVW are shown in the diagram below. X= ? Angle UVW= ? degrees

HELPPPP PLS (marking brainliest!!)The measures of the angled in triangle UVW are shown in the diagram

Answers

ans:

x= 45

UVW= 126

(the explanation in the pic is v rough tho so if u want a more detailed one please ask lol)

HELPPPP PLS (marking brainliest!!)The measures of the angled in triangle UVW are shown in the diagram

Algebra

Find the value of x and y

(3x-y, 2) =(2, x+y) ​

Answers

The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

What is an equation?

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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What is the value of f(-1/4)?

What is the value of f(-1/4)?

Answers

Answer:

The x-value we need to substitute into the equation is -1/4.

When we substitute,

f(-1/4)=-8(-1/4)+4

f(-1/4)=2+4

f(-1/4)=6

:)

SUsing the arrangement of letters below, determine the number of paths that spell theword PATTERNS, if all paths must start at the top and move diagonally through theletters. (3 marks)RAN NS SSPTTATT T TΕ Ε : Ε· ΕRRTTΕRR RN N NN NSS S SS

SUsing the arrangement of letters below, determine the number of paths that spell theword PATTERNS, if

Answers

Given: A arrangement of the letter 'PATTERNS' is given.

Required: To determine the number of paths that spell the word 'PATTERNS' if all paths must start at the top and move diagonally through the

letters.

Explanation: The Pascal Triangle can be used to determine the number of ways the word 'PATTERNS' can be spelled.

The Pascal Triangle is shown below

One exciting thing about Pascal's Triangle is if we move diagonally from top to bottom, each number denotes the number of ways to get to the position from the top.

Hence to spell the word 'PATTERNS', we would need to get to the 8th row.

Hence we need to add all the entries of the 8th row to get the total number of ways to spell the word.

\(\begin{gathered} =1+7+21+35+35+21+7+1 \\ =128 \end{gathered}\)

Final Answer: The total number of paths that spells the word 'PATTERNS' is 128.

SUsing the arrangement of letters below, determine the number of paths that spell theword PATTERNS, if

12. Write the sum 54 + 63 as the product of a number and relatively prime addends:
54 + 63

9 (7 + ?)

Answers

Answer:

54+63=117

117=9*13

54+63=9*13

Hope this helps :)

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