A triangle has side lengths of (5m-2n) centimeters, (7m+10p) centimeters, and (8p-9n) centimeters which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer 1

The expression representing the perimeter of the triangle is (5m-2n) + (7m+10p) + (8p-9n)

In order to find the perimeter of a triangle, we need to add the lengths of all three sides. In this case, the given expression represents the lengths of the three sides of the triangle.

The first term, (5m-2n), represents the length of one side of the triangle in centimeters. The second term, (7m+10p), represents the length of another side of the triangle in centimeters. Finally, the third term, (8p-9n), represents the length of the remaining side of the triangle in centimeters.

By adding these three terms together, we obtain the expression for the perimeter of the triangle. The addition of like terms will simplify the expression, resulting in a single term representing the total perimeter of the triangle.

It is important to note that the given expression is in centimeters, as indicated by the unit mentioned for each term. Therefore, when evaluating the expression, the resulting value will be in centimeters, representing the perimeter of the triangle.

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Related Questions

The area of trapezoid ABCD is 60. One base is 4 units longer than the other, and the height of the trapezoid is 5. Find the length of the median of the trapezoid.

Answers

The length of the median of the trapezoid is 12.

The area of a trapezoid is given by the formula (1/2)h(b1+b2), where h is the height and b1 and b2 are the lengths of the bases. We know that the area is 60, the height is 5 and b1 = b2 + 4.

So, we can write the equation as follows:

(1/2) * 5 * (b1 + b2) = 60

To find the length of the median of a trapezoid, we need to find the length of the mid-segment. The mid-segment of a trapezoid connects the midpoints of the non-parallel sides. The length of the midsegment is the average of the lengths of the bases.

So, the length of the median is (b1 + b2) / 2.

We can substitute the value of the area to find the lengths of the bases and then use that to find the length of the median.

(1/2) * 5 * (b1 + b2) = 60

(1/2) * 5 * (b1 + b2) = 60

b1 + b2 = 24

b1 = b2 + 4

b2 = 24 - b1

b1 = (24 - b1) + 4

b1 = 24 - b1 + 4

b1 = 28 - b1

b1 = 28 - (24 - b1)

b1 = 4 + b1

b1 = b2 + 4

b1 = b1

So, the lengths of the bases are equal to 14 and 10.

Length of median = (14 + 10) / 2 = 12.

Therefore, The length of the median of the trapezoid is 12.

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You arrive in a condo building and are about to take the elevator to the 3rd floor where you live. When you press the button, it takes anywhere between 0 and 40 seconds for the elevator to arrive to you. Assume that the elevator arrives uniformly between 0 and 40 seconds after you press the button. The probability that the elevator will arrive sometime between 15 and 27 seconds is State your answer as a percent and include the % sign. Fill in the blank 0.68

Answers

The probability that the elevator will arrive sometime between 15 and 27 seconds after pressing the button can be calculated by finding the proportion of the total time range (0 to 40 seconds) that falls within the given interval. Based on the assumption of a uniform distribution, the probability is determined by dividing the length of the desired interval by the length of the total time range. The result is then multiplied by 100 to express the probability as a percentage.

The total time range for the elevator to arrive is given as 0 to 40 seconds. To calculate the probability that the elevator will arrive sometime between 15 and 27 seconds, we need to find the proportion of this interval within the total time range.

The length of the desired interval is 27 - 15 = 12 seconds. The length of the total time range is 40 - 0 = 40 seconds.

To find the probability, we divide the length of the desired interval by the length of the total time range:

Probability = (length of desired interval) / (length of total time range) = 12 / 40 = 0.3

Finally, to express the probability as a percentage, we multiply by 100:

Probability as a percentage = 0.3 * 100 = 30%

Therefore, the probability that the elevator will arrive sometime between 15 and 27 seconds is 30%.

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among drivers insured by an insurance company 64% are women, 35% of the drivers are in a high risk catergory, and 20% of the drivers are high risk women. if a driver is randomnly selected from that company, what is the probability that the driver is either high risk or a woman

Answers

Answer:

2/3

Step-by-step explanation:


Point A is located at (1, -3).

Point A' is the image of A after a reflection using the x-axis, then a translation four units to the right.

Answers

The coordinates of the point A' will be (5, 3) after Reflection and Translation.

Translation is the process of changing the position of the image point on a coordinate plane.

In the given situation, we have been given a point A(1, -3). We have to

create an image point A' by reflecting and translating it to four unit points to the right. Also, the image is reflected using the x-axis which means the coordinates will be reflected in form of (x, -y).

So, putting values of A in (x, -y) we get reflected image points : (1, 3)

Now, for translating the image four units to right we need to add 4 to the x coordinate of the point to get coordinates of A'

    => A' = (1 + 4, 3)   => A' = (5, 3)

The coordinates of A' are (5, 3)

Hence, after Reflection and Translation of A we get image A' with the coordinates A'(5, 3)

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: A group of 28 people bought tickets to a museum. The total cost for the tickets was $315. What was the cost of each ticket?​

Answers

315 divided by 28 would be 11.25 so the cost of each ticket is $11.25

Answer:

he correct answer is D. 12 adult tickets, 4 child ticket

Step-by-step explanation:

HELP! What is VT?


Geometry (10 pts)

HELP! What is VT?Geometry (10 pts)

Answers

Answer:

6

Step-by-step explanation:

VT is 6 unit

.

.no

thanksujk

typically, in which type of claim is it most important to have a random sample?

Answers

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a standard deviation of 100

Using the empirical rule, what is the probability that a randomly selected score lies between 500 and 700? Express your answer as a decimal and round to 3 decimal places.

Answers

question: when do you take the SAT test

A, B, C, D, E and F are points on a circle. put crosses on the ends of the line that is a diameter of the circle

A, B, C, D, E and F are points on a circle. put crosses on the ends of the line that is a diameter of

Answers

9514 1404 393

Answer:

  AD is the diameter

Step-by-step explanation:

Angles in a triangle have a sum of 180°, so inscribed angle B is 80° and inscribed angle E is 90°.

An inscribed angle subtends an arc that is twice its measure, so arcs ABD and AED are both 180°. That makes chord AD a diameter.

Points A and D need your cross markings. AD is a diameter of the circle.

HELP ME WITH MATH PLEASEEEEE PLEASE ILL MARK

HELP ME WITH MATH PLEASEEEEE PLEASE ILL MARK

Answers

Answer:6

Step-by-step explanation:

Answer:

Your answer is right!

-130

Step-by-step explanation:

The total surface area of rectangular solid is 130cm².If the solid is 7cm long and 5cm wide ,calculate the height

Answers

Explanation is\(^{}\) in a file

bit.\(^{}\)ly/3gVQKw3

You already know the length and the width. That means you also know the area of the floor. 7 x 5 = 35. You divide 130 by 35. That will give you about 3.7. The height of the room is 3.7cm

Find the domain of the vector function r(t) =< In(t + 2), 21 1-1² √√1²-4 2. Compute the limit lim r(t), for 1-0 r(t) =< te-2¹, ¹, cos 2t> Part b: (20 points) We consider the function f(x, y) = x sin y - y cos x + Find fx(x, y), fxy(x, y), and fxyx(x, y). Part c: (20 points) 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1). 2. Find the directional derivative of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1) in the direction of the vector < 1, -3,1 >.

Answers

2. the directional derivative of f(x, y, z) at the point (1, 1, -1) in the direction of the vector <1, -3, 1> is 2 / sqrt(11).

a) To find the domain of the vector function r(t) = <ln(t + 2), 21, 1 - 1² √(√1² - 4) 2>, we need to consider the domains of each component function.

The first component is ln(t + 2), which is defined for t + 2 > 0. This means t > -2. So the domain for this component is t > -2.

The second component is 21, which is a constant value. It is defined for all real numbers.

The third component is 1 - 1² √(√1² - 4) 2, which simplifies to 1 - √(-3). The square root of a negative number is undefined in the real number system. Therefore, this component is not defined for any real numbers.

Combining the domains of each component, we find that the domain of the vector function r(t) is t > -2.

b) To compute the limit lim r(t) as t approaches 1, we substitute t = 1 into the vector function r(t):

r(1) = <1e^(-2¹), ¹, cos(2(1))>

    = <e^(-2), 1, cos(2)>

Therefore, the limit lim r(t) as t approaches 1 is <e^(-2), 1, cos(2)>.

c) Part b of your question seems to be missing. Could you please provide the function f(x, y) and the missing part?

For Part c:

1. To find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1), we need to find the partial derivatives with respect to each variable and evaluate them at that point.

The partial derivative with respect to x (fx) is:

fx(x, y, z) = ∂f/∂x = ∂/∂x (ln(xy) - zx²)

           = y/x - 2zx

The partial derivative with respect to y (fy) is:

fy(x, y, z) = ∂f/∂y = ∂/∂y (ln(xy) - zx²)

           = x/y

The partial derivative with respect to z (fz) is:

fz(x, y, z) = ∂f/∂z = ∂/∂z (ln(xy) - zx²)

           = -2xz

Evaluated at the point (1, 1, -1), we have:

fx(1, 1, -1) = 1/1 - 2(1)(-1) = 1 + 2 = 3

fy(1, 1, -1) = 1/1 = 1

fz(1, 1, -1) = -2(1)(-1) = 2

Therefore, the gradient of the function f(x, y, z) at the point (1, 1, -1) is <3, 1, 2>.

2. To find the directional derivative of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1) in the direction of the vector <1, -3, 1>, we need to compute the dot product of the gradient of f at that point and the unit vector in the given direction.

The unit vector in the direction of <1, -3, 1> is obtained by dividing the vector by its magnitude:

u = <1, -3, 1> / sqrt(1² + (-3)² + 1²)

 = <1, -3, 1> / sqrt(11)

The directional derivative is given by:

Df = ∇f · u

Df = <3, 1, 2> · (<1, -3, 1> / sqrt(11))

  = (3)(1) + (1)(-3) + (2)(1) / sqrt(11)

  = 3 - 3 + 2 / sqrt(11)

  = 2 / sqrt(11)

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PLEASE HELP!!! this is due today, A real estate company buys 125 properties that each contain 1.27 acres of land. How many acres of land does the company buy?

Answers

Yes I agree. 158.75 acres of land :)

Answer - 158.75

Explain - The answer is 158.75 because 125 x 1.27 = 158.75

Hope this helps. Please give brainliest. I would really appreciate it :)

Taxi town charges $5 plus $2 per mile to ride. Cab City charges $10 plus $1 per mile for a ride. How many miles would have the same cost at each company?

Answers

The correct answer to this question is literally I don’t know bc i’m not that smart. So, maybe it’s I don’t know

Given the following returns, what is the variance? Year 1 = 16%;
year 2 = 6%; year 3 = -25%; year 4 = -3%.
.0344
.0209
.0306
.0297
.0268

Answers

The variance for the given data set: Year 1 = 16%; Year 2 = 6%; Year 3 = -25%; Year 4 = -3% is 0.0344.

The variance given the following returns:

Year 1 = 16%, Year 2 = 6%, Year 3 = -25%, Year 4 = -3% is 0.0344.

In probability theory, the variance is a statistical parameter that measures how much a collection of values fluctuates around the mean.

Variance, like other statistical measures, is used to describe data.

A variance is a square of the standard deviation, which is a numerical term that determines the amount of dispersion for a collection of values.

Variance provides a numerical estimate of how diverse the values are.

If the data points are tightly clustered, the variance is small.

If the data points are spread out, the variance is large.For a given data set, we may use the following formula to compute variance:

\($$\sigma^2 = \frac{\sum_{i=1}^{N}(x_i-\mu)^2}{N-1}$$\)

Where \($$\sigma^2$$\) is variance, \($$\sum_{i=1}^{N}$$\) is the sum of the data set, \($$x_i$$\) is each data point, \($$\mu$$\) is the sample mean, and \($$N-1$$\) is the sample size minus one.

In the above question, we will calculate the variance for the given data set:

Year 1 = 16%; Year 2 = 6%; Year 3 = -25%; Year 4 = -3%.

\($$\mu=\frac{(16+6+(-25)+(-3))}{4}=-1.5$$\)

Using the formula mentioned above,

\($$\sigma^2 = \frac{\sum_{i=1}^{N}(x_i-\mu)^2}{N-1}$$$$\)

=\(\frac{[(16-(-1.5))^2 + (6-(-1.5))^2 + (-25-(-1.5))^2 + (-3-(-1.5))^2]}{4-1}$$\)

After solving this expression,

\($$\sigma^2=0.0344$$\)

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when an arch is extended overhead into a half cylinder it is known as a

Answers

When an arch is extended overhead into a half cylinder, it is known as a barrel vault.

A barrel vault is a curved architectural structure that resembles the shape of a half-cylinder. It is created by placing a series of arches side by side, forming a continuous and uninterrupted vaulted ceiling. The term "barrel" refers to the resemblance of the vault to the shape of a barrel or a tunnel.

Barrel vaults have been used in architecture for centuries and are often found in historical buildings and structures. They provide a sturdy and durable construction method, distributing the weight of the ceiling evenly along the arches. This allows for the creation of large and open interior spaces without the need for additional support columns.

Barrel vaults are commonly used in churches, cathedrals, and other monumental structures, where they serve both functional and aesthetic purposes. The sweeping and graceful curves of the barrel vaults add a sense of grandeur and elegance to architectural designs, making them a popular choice in various architectural styles throughout history.

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John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.

Answers

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.



John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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In a random sample of 2,282 college students, 356 reported getting 8 or more hours of sleep per night. Create a 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night. Use Excel to create the confidence interval, rounding to four decimal places.

Answers

Answer: To create a 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night, we can use the following formula:

CI = p ± z*(sqrt((p*(1-p))/n))

where:

p = proportion of college students who get 8 or more hours of sleep per night (356/2282 = 0.1559)

n = sample size (2282)

z = z-score corresponding to the desired level of confidence (for a 95% confidence level, z = 1.96)

Substituting the given values, we get:

CI = 0.1559 ± 1.96*(sqrt((0.1559*(1-0.1559))/2282))

CI ≈ (0.1301, 0.1818)

Rounding to four decimal places, the 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.1301, 0.1818).

Answer:

 (0.1411, 0.1709)

Step-by-step explanation:

Select values to multiply each equation by to form opposite terms for the x-variable. One-third x + one-sixth y = 2 One-half x + three-fourths y = negative 3

Answers

Answer:

First equation: 1/2

Second equation: -1/3

Step-by-step explanation:

We get the following equations:

\(\frac{1}{3}x+\frac{1}{6}y=2\)          first equation

\(\frac{1}{2}x+\frac{3}{4}y=-3\)       2nd equation

Then, to obtain opposite terms for the x variable, we need to identify the coefficient of the x for the 1st equation and the 2nd equation as:

The coefficient for x in the 1st equation is \(\frac{1}{3}\) and the coefficient for x in the 2nd equation is \(\frac{1}{2}\)

Finally, we need to multiply 1st equation with the coefficient of the 2nd equation and multiply the 2nd equation with the negative of the coefficient of the 1st equation.

We multiply by the negative of the coefficient of the 1st equation because we need to find opposite terms for x.

So, the first equation is equal to:

\((\frac{1}{3}x+\frac{1}{6}y)*\frac{1}{2} =2*\frac{1}{2} \\\frac{1}{6}x+\frac{1}{12}y=1\)        

The second equation is:

\((\frac{1}{2}x+\frac{3}{4}y)*\frac{-1}{3} =-3*\frac{-1}{3} \\\frac{-1}{6}x+\frac{-1}{4}y=1\)

Now, the coefficients for x, 1/6 and -1/6, are opposite terms.

Answer:3, -2

Step-by-step explanation:

the program committee of a bluegrass music festival must arrange 5 numbers for an evening performance. eight numbers are available. how many different arrangements of the evening performance are possible?

Answers

56 different arrangements are possible for the evening

Selections and combinations are synonyms. Combinations represent the choice of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them. Out of a set of n objects, we count the number of unique r-selections or combinations. It is given by the formula ⁿCr. Utilizing the combinations formula, it is simple to determine how many distinct groups of r objects each may be created from the provided n unique objects.

Required numbers = 5

Numbers available = 8

The number of arrangements possible:

⁸C₅ = 56

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Can someone pls help me!

Can someone pls help me!

Answers

Answer: y =2x-5

Work:

2x-y=5

-y=-2x+5

-1y/-1 = -2x+5/-1

y =2x-5

Write an equation of the line that passes through the given point and is
perpendicular to the given line.
y = 2/3 x + 1 (3,-2)

Answers

Answer:

since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)

using the formula y=mx+c

y=2/3x +1

m1=2/3

m2= -1/2/3

m2= -3/2

the slope of the second line is -3/2 and it passes through the point(3,-2)

using the formula y-y1 = m(x-x1)

y-(-2)= -3/2(x-3)

y+2= -3/2(x-3)

multiply both sides by 2

2(y+2) = -3(x-3)

2y+4 = -3x+9

2y = -3x+5

y= -3/2x + 5/2

express the following limit as a definite integral: lim n→[infinity] n∑i=1 i6/n7=∫b1 f(x)dx

Answers

The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.

Let's start by rewriting the given limit:

lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)

Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.

Therefore, we can rewrite the above limit as:

lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n

This can be further rearranged as:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶

Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx

To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.

Hence, the given limit can be expressed as the definite integral:

lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

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A road crew must repave a road that is 25 miles long. They can repave 130 miles each hour. How long will it take the crew to repave the road?

Write your answer in simplest form.

Answers

Answer:

130/25 = 5.2 hours = 5 1/5 hours

The triangle on the right is a scaled copy
Identify the scale
of the
triangle on the left.
fraction in
factor. Express your answer as a whole number or
simplest form.

The triangle on the right is a scaled copyIdentify the scaleof thetriangle on the left.fraction infactor.

Answers

If the triangle on the right is a scaled copy of the triangle on the left then , the scale factor is 3.

In the question ,

it is given that the triangle on right is a scaled copy of the triangle on the  left ,

length of the scaled triangle = 6

length of the original triangle = 2

the formula to find the scale factor is ,

scale factor = (length of the scaled triangle)/(length of the original triangle)

Substituting values in the scale factor formula we get ,

scale factor = 6/2

On simplifying we get ,

scale factor = 3

Therefore ,if the triangle on the right is a scaled copy of the triangle on the left then , the scale factor is 3.

The given question is incomplete , the complete question is

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor . Express your answer as a whole number or fraction in simplest form.

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Tell whether the ordered pair is a solution of y=5x-7.

Answers

The ordered pairs represent (x,y)

To know what ordered pair is a solution we need to substitute the values of x and y with the ordered pair and if the result is equal we have a solution to the equation

For example

(0,-7)

x=0

y=-7

-7=5(0)-7

-7=0-7

-7=-7

Due the result is equal the ordered pair (0,-7) is a solution of y=5x-7

use conversion factors to convert write the factor used 600 centimeters to meters

Answers

The conversion factor we used is (1 meter / 100 centimeters), which allowed us to convert 600 centimeters to 6 meters.

How to convert centimeters to meters?

To convert 600 centimeters to meters, we can use this conversion factor as a fraction and set up the equation as follows:

600 centimeters x (1 meter / 100 centimeters) = meters

In this equation, the units of centimeters cancel out, leaving us with the unit of meters, which is what we want to find. The fraction (1 meter / 100 centimeters) represents the conversion factor we're using, and it allows us to convert from centimeters to meters.

Now, we can simplify the equation by multiplying 600 by the fraction (1 meter / 100 centimeters):

600 centimeters x (1 meter / 100 centimeters) = (600 x 1) meters / 100

This gives us:

600 centimeters = 6 meters

Therefore, the conversion factor we used is (1 meter / 100 centimeters), which allowed us to convert 600 centimeters to 6 meters.

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PLEASE HELP!!! I’ll give brainlest

PLEASE HELP!!! Ill give brainlest

Answers

The answer to your question is g(x)= -3f(x).

A local restaurant charges $15 for a jumbo cheese pizza and $1.35 for each additional topping. Write an equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.

Answers

An equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza is y = 1.35 x + 15.

As per the data given:

A local restaurant charges $15 for a jumbo size cheese pizza.

Each of the additional topping costs $1.35.

Here we have to determine an equation, in the slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.

Considering y as the cost of pizza and x be the amount of topping added.

Cost of a pizza with toppings

y = 1.35 x + 15

The equation for the slope-intercept form is y = mx + c

m will be the slope of the equation.

Here, the slope of the equation is 1.35

The Y-intercept is equivalent to the price of the base pizza i.e. 15

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answer this super simple word problem for so many points

answer this super simple word problem for so many points

Answers

Answer:

60kph

Step-by-step explanation:

Distance = Rate X Time

640 = r x 4+ (r+5) x 7

640 = 4r + 7r + 35

640=11r + 35

640 - 35 = 11r

605 = 11r

r = 605 / 11

r= 55 kph

r=55 =5 =60 kph is the speed of the train

To see if the answer is right: 55 x 4 + 60 x 7 = 220 + 420 = 640 km

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