what is 5n+15 in distributive property

Answers

Answer 1

Answer:

5(n+3)

Step-by-step explanation:

factor both of them

their common number is 5

divide 5 by each of them

5/5=1

15/5=3


Related Questions

Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?

A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right

Answers

Answer:

B) x <= -3

Step-by-step explanation:

B is the only answer that shows x being less than -3.

all of the other answers show x being greater than -3.

how to make 9.37% into decimal​

Answers

Answer: divide by 100 is .0937

Step-by-step explanation:

Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?

Answers

Answer:

$17.33

Step-by-step explanation:

3.5×4.95

=17.325

= $17.33

Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:

Year Annual Dog-walking Fee
2010 $350
2014 $750
A. What is the rate of change and initial value for Sarah's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Sarah charges each year. (10 points)

Answers

Sarah's company started out with a $350 value and is currently changing at a rate of $100 annually.

The annual fee is expressed as an equation in slope-intercept form:

y = 100x + 350.

Define the term slope-intercept form?

y = mx + b, where m is the line's slope and b is its y-intercept, is the formula for a straight line.

Given details:

Since 2010, Sarah has operated a dog-walking service.She has raised her rate the same amount each year.

The table displays the prices that Sarah charged each client during the course of her business's first two years:

Year                            Annual Dog-walking Fee

2010                            $350

2014                            $750

A.

Sarah has so increased the cost by $400 over the past four years.

For Sarah's company, its rate of change called slope will be,

m = 750 - 350 / 4

m = 100

Therefore, Sarah is raising the cost by $100 yearly.

Due to the payment she received for the first year, the calculated values of a business is $350.

B. Define x as the period of time that has passed since she began her business in 2010.

Consequently, the annual fee equation can be expressed in slope-intercept form as,

y = mx + c

where y stands for the cost she must pay after x years.

Her company's baseline value is therefore $350, and its rate of change is $100 annually.

The annual fee is expressed as an equation in slope-intercept form.: y = 100x + 350.

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Sara is building a garden box to plant flowers. For which measurement would she need to find the area?

Answers

Answer:

A

Step-by-step explanation:

Answer: B: the length of the wooden sides of the garden box

Step-by-step explanation:

because if she is going to plant flowers she will need to know how big the box she would need for her plants

If the circle radius is 27yd, how do I find the circumference without using pi?

Answers

c=2(pi)r
2*27*3.14
3.14 is a pi substitute. after multiplying you will get 169.56 as the circumference

Circumference of a circle having radius of 27 yard can be found using the formula, π = 2(Area of Circle)/r, which is C = 169.6 yd

What is the Circumference of a Circle?Circumference of a circle is the distance round the circle.Circumference = Perimeter Circumference of a circle without using π = 2(Area of Circle)/r.

Given:

radius of circle = 27 yd

Thus:

Area = πr² = π(27)²

Area = 2,290.2 yd²

Circumference of a circle without using π = 2(2,290.2)/27

= 169.6 yd.

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Simplify \(\frac{sec(a)-csc(a)}{sec(a)+csc(a)}\)

Answers

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

What is trigonometry?

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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dpoint
How does the calculator get 48.8?

mean ( 45, 80, 15, 10, 94)
48.8

Answers

Answer:

You add all these numbers then, divide the answer with 2.

Step-by-step explanation:

Trust

"Suppose you want to design a model that links child obesity and diabetes and your model predicts that overweight children have an 80% higher risk of suffering from diabetes in their adult life. If data shows that overweight children do not suffer from diabetes as predicted in your model (i.e., data shows a lower than 80% probability), which would your next step be?"

Answers

If data shows that overweight children do not suffer from diabetes as predicted in the model that links child obesity and diabetes (i.e., data shows a lower than 80% probability), then the next step would be to review the model's assumptions and revise the model as necessary.

This may involve analyzing additional data or changing the model's structure or parameters, to better reflect the observed relationships between child obesity and diabetes. It is important to ensure that the model is based on accurate and reliable data, as this will help to ensure that the model's predictions are useful and informative.

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On a map 1 inch equals 20 miles two cities are 2 inches apart on the map. What is the actual distance between the cities

Answers

Answer:

40 miles

Step-by-step explanation:

20 times 2 equals 40

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3​

Which choices are equivalent to the exponential expression below? Check all that apply. (4/5)^3

Answers

Answer:

A, C, D

Step-by-step explanation:

Remember: Exponents are simply repeated multiplication.

The exponent determines how many times to multiply the base number by itself.

\((\frac{4}{5} )^3=\frac{4}{5} *\frac{4}{5} *\frac{4}{5} =\frac{64}{25}\)

Option 'A' and 'C' apply.

Option D applies because:

\(\frac{4^3}{5^3} =\frac{64}{125}\)

please help, it’s urgent

please help, its urgent

Answers

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

As angle CAB is a linear pair and is 109 degrees. We need to simply subtract it by 180. So 180-109=71. So angle CAE is 71 degrees.

Calculate the volume of the solid

Calculate the volume of the solid

Answers

Answer:

48cm³

Step-by-step explanation:

Volume of a Triangular Prism Formula

Is used To Find the 3-D space/ volume occupied by a triangular prism.

V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))

side length a = 4

side length b = 5

side length c = 3

prism height h = 8

V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))

V=1/4(8)√((3+4−5)(4+5−3))× √((4+5+c3)(5+3−4))

V= 48cm³

to carry a suitcase on an airplane, the length width height of the box must be less than or equal to 60 inches. (a) assuming the height is fixed, what is the maximum volume of the box in terms of the height, h ? (b) what height allows you to have the maximum volume?

Answers

The maximum volume of the box in terms of the height h is (30 - h/2)^2 x h, and the height that allows us to have the maximum volume is 40 inches

To answer your question, let's first understand that the volume of a box is given by the formula V = L x W x H, where L is the length, W is the width and H is the height. Since we are assuming the height is fixed, we can rewrite this formula as V = L x W x h.

Now, we know that the length plus width plus height of the box cannot exceed 60 inches. Therefore, we have the equation L + W + h = 60, which we can solve for L or W in terms of h. Let's solve for L: L = 60 - W - h.

Substituting this value of L into the formula for volume, we get V = (60 - W - h) x W x h. We can simplify this equation by expanding the brackets and collecting like terms to get V = -W^2h + 60Wh - h^2.

To find the maximum volume, we need to find the value of W that maximizes this equation. We can do this by differentiating the equation with respect to W and setting the derivative equal to zero. After some calculations, we get W = 30 - h/2.

Substituting this value of W back into the equation for volume, we get V = (30 - h/2)^2 x h. To find the height that gives us the maximum volume, we can differentiate this equation with respect to h and set the derivative equal to zero. After some calculations, we get h = 40 inches.

Therefore, the maximum volume of the box in terms of the height h is (30 - h/2)^2 x h, and the height that allows us to have the maximum volume is 40 inches.

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Determine the scale factor for Triangle ABC to Triangle A’B’C

Determine the scale factor for Triangle ABC to Triangle ABC

Answers

Answer:

C

Step-by-step explanation:

give brainliest

Tim worked twenty hours during the last five days assuming that he worked the same amount of hours each day, how long did he work each day​

Answers

Answer:

he worked 4 hours each day

Step-by-step explanation:

the average american height is

Answers

According to CDC data as of 2021, the average height for adult men in the United States is around 5 feet 9 inches (69.2 inches or 175.7 cm), and the average height for adult women is around 5 feet 4 inches (64.2 inches or 162.5 cm).

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

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for students who earned a score of 20 or lower on the quiz, the cumulative frequency is and the relative cumulative frequency is . a.) 16; 32% b.) 9; 18% c.) 38; 76% d.) 29; 58%

Answers

The cumulative frequency and relative cumulative frequency for students who earned a score of 20 or lower on the quiz is 29; 58%. (option d)

Cumulative frequency refers to the running total of frequencies, or the sum of frequencies up to a certain point. In this case, the cumulative frequency is the number of students who scored 20 or lower on the quiz.

Relative cumulative frequency, on the other hand, expresses the cumulative frequency as a percentage of the total number of students in the sample. To find the relative cumulative frequency, we divide the cumulative frequency by the total number of students and multiply by 100.

Therefore, for students who scored 20 or lower on the quiz, the cumulative frequency is 29 and the relative cumulative frequency is 58% (29/50 * 100).

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Answer: 38, 76%

Step-by-step explanation:

Recall that for cumulative frequency we add up all the values that fall above or below a given bin of data. So, if we want all scores less than 20 it should be the first four bins with a total of:

8 plus 8 plus 13 plus 9 equals 38

To get the relative frequency we take the total in the bins for scores of 20 and lower divided by the total of all bins:

38 over 50 equals 0.76 equals 76 percent sign

Can somebody please help me?

Thank you! :)

Can somebody please help me? Thank you! :)

Answers

Answer:

Step-by-step explanation:

Can somebody please help me? Thank you! :)

Pedro measured a swimming pool and made a scale drawing. The pool, which is 42 meters long in real life, is 119 centimeters long in the drawing. What scale did Pedro use for the drawing?

Answers

Answer:

The scale that Pedro used for the drawing is: 17:600.

Step-by-step explanation:

A scale of a drawing is expressed as: Drawing length:actual length.

Since you know that the pool is 119 centimeters long in the drawing and 42 meters long in real life, first you have to find  the cm in 42 meter taking into account that 1 meter is equal to 100 cm:

1 m     →    100 cm

42 m   →          x

x=(42*100)/1

x=4200 cm

Now, the scale would be:

119:4200

Finally, you need to simplify and you can do it by dividing each number by 7:

17:600

According to this, the answer is that the scale that Pedro used for the drawing is: 17:600.

Estimate the mean high temperature with
90% confidence.
60
73
88
86
103
79
67
72
89
88
76
87

Answers

The accuracy of any estimate of the mean high temperature will depend on the quality and quantity of data available, as well as the methods used to analyze and interpret this data.

To estimate the mean high temperature with a value of 797687, we need to first understand what this value represents. Assuming that this value represents the high temperature for a certain area or region, we can use statistical methods to estimate the mean high temperature for this area.

One way to estimate the mean high temperature is to take a sample of high temperature data for this area, and then calculate the average of this sample. This sample should be large enough to provide a representative estimate of the population mean, but not so large as to be impractical or expensive.

Another way to estimate the mean high temperature is to use historical data or climate models to predict future high temperatures. This method requires knowledge of past trends and patterns in temperature data, as well as an understanding of the factors that influence high temperatures in this area.

It is important to use sound statistical techniques and to be aware of potential sources of bias or error when making any estimates of this nature.

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is the function f a k-to-1 correspondence for some positive integer k? if so, for what value of k? justify your answer

Answers

We cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

justify your answer," we need to first understand what a k-to-1 correspondence is.

A k-to-1 correspondence is a function in which each element in the range has exactly k preimages. In other words, if the function f maps elements from set A to set B, then for each element b in set B, there are exactly k elements in set A that map to b.

In this case, we need to determine if the function f is a k-to-1 correspondence for some positive integer k.Now, let's justify our answer. Since we do not have the function f, we cannot determine whether it is a k-to-1 correspondence or not. Therefore, we cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.

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what value of p makes the expression true? -3p+1/8=-1/4​

Answers

Answer:

p = 1/8

Step-by-step explanation:

Step 1: Write out equation

-3p + 1/8 = -1/4

Step 2: Subtract 1/8 on both sides

-3p = -3/8

Step 3: Divide both sides by -3

p = 1/8

4. Assume that Fatma, Ayesha and Warda have completed a standardized IQ test. Fatma's IQ score is 135, Ayesha's IQ score is 100 and Warda's IQ score is 80. Explain the meaning of each of their scores.

Answers

Answer:

???

Step-by-step explanation:

Not entirely sure what you're trying to ask here. Their scores are 135, 100, and 80. An IQ test or an Intelligence Quotient test is used to determine a human's intelligence. So it would be assumed that Fatma is smarter than Ayesha, who is smarter than Warda. We can assume this because it is a standardized IQ test, so the test is fair in the way that everyone has the same questions. Though the best IQ test contains a a lot of questions since it questions all of your abilities. For example, not only logic and math but stuff like chemistry and being able to play an instrument.

A store owner paid $20 for a book. She marked up the price of the book by 15% to determine its selling price. What is the selling price of the book? Numbers only.

Answers

Answer:

20 : 100% = x : 115%

Step-by-step explanation:

Do 115 x 20

divide the answer by 100

and that is your answer

A computer monitor has a width of 14.60 inches and a height of 10.95 inches. What is the area of the monitor display in square meters? area How many significant figures should there be in the answer? 2 3 4 5

Answers

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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how
do i solve this ?
Convert the numeral to a numeral in base \( 10 . \) \[ 85212 \] \[ B 52_{12}=10 \]

Answers

The numeral \(\(B52_{12}\)\) is equal to 1646 in base 10.

To convert the numeral \(\(B52_{12}\)\) to base 10, we start by assigning the values to the digits based on the base:

\(\(B\)\) in base 12 is equivalent to 11 in base 10.

\(\(5\)\) in base 12 is equivalent to 5 in base 10.

\(\(2\)\) in base 12 is equivalent to 2 in base 10.

Now, we evaluate the numeral by multiplying each digit by the corresponding power of the base and summing the results:

\(B52_{12} &= (11 \times 12^2) + (5 \times 12^1) + (2 \times 12^0) \\&= (11 \times 144) + (5 \times 12) + (2 \times 1) \\&= 1584 + 60 + 2 \\&= 1646\)

Therefore, the numeral \(\(B52_{12}\)\) is equal to 1646 in base 10.

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Determine the coupon payments for the following three bonds: 5. 5% coupon corporate bond (paid annually), 6. 45% coupon treasury note, and a corporate zero-coupon bond maturing in 10 years. (assume $1,000 par value. ).

Answers

For the 5.5% coupon corporate bond, the coupon payment would be $55 per year. For the 6.45% coupon treasury note, the coupon payment would be $64.50 per year.

What is Percentage?

Calculations using percentages show how much a given number contributes to the total. It is computed by dividing the number by the sum and multiplying by 100. It is denoted by the sign "%." For example, if a basket contains ten apples, three of which are red, the proportion of red apples in the basket is 30% (3/10 x 100). In a wide range of disciplines, including business, statistics, and education, percentage is often utilized. Calculating interest rates, taxes, and other financial activities in the finance industry annually frequently uses percentages. The frequency of events or the likelihood of a certain outcome are both measured using this method in statistics. Calculating grades and evaluating a student's overall performance are both done using this in education.

How to solve?

For the 5.5% coupon corporate bond, the coupon payment would be 5.5% of $1,000 = $55 per year.

For the 6.45% coupon treasury note, the coupon payment would be 6.45% of $1,000 = $64.50 per year.

For the corporate zero-coupon bond maturing in 10 years, there are no coupon payments. The bond will only make a payment of $1,000 at maturity.

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the range of feasible values for the multiple coefficient of correlation is from ________.

Answers

The range of feasible values for the multiple coefficients of correlation is from -1 to 1.

The multiple coefficients of correlation, also known as the multiple R or R-squared, measures the strength and direction of the linear relationship between a dependent variable and multiple independent variables in a regression model. It quantifies the proportion of the variance in the dependent variable that is explained by the independent variables.

The multiple coefficients of correlation can take values between -1 and 1.

A value of 1 indicates a perfect positive linear relationship, meaning that all the data points fall exactly on a straight line with a positive slope.

A value of -1 indicates a perfect negative linear relationship, meaning that all the data points fall exactly on a straight line with a negative slope.

A value of 0 indicates no linear relationship between the variables.

Values between -1 and 1 indicate varying degrees of linear relationship, with values closer to -1 or 1 indicating a stronger relationship. The sign of the multiple coefficients of correlation indicates the direction of the relationship (positive or negative), while the absolute value represents the strength.

The range from -1 to 1 ensures that the multiple coefficients of correlation remain bounded and interpretable as a measure of linear relationship strength.

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(-8,1); m=6 equation of line in point slope form

Answers

Answer:

Point-slope form

y-3=6(x-8)

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