A company has 95,000 online followers and gains 100 new followers every day. Another
company starts with 0 online followers and gains 350 new followers every day.
After how many days will the two companies have the same number of followers?

Answers

Answer 1

The number of days when the two companies will have the same number of followers is 380 days.

How to calculate the number of days?

The first step is to form linear functions that represent the information of the two companies. The form of the functions is:

Total followers = initial number of followers + (number of new followers x number of days)

The linear function that represents the online followers for the first company is:

Total followers = 95,000 + 100d

The linear function that represents the online followers for the second company is: Total followers = 350d

When the companies have the same number of followers the two above equations would be equal 95,000 + 100d = 350d

95,000 = 350d - 100d

95,000 = 250d

d = 95,000 / 250

d = 380

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Related Questions

What is the relationship between the base and height of a parallelogram and its area?

Answers

The relationship between a parallelogram's area, base, and height:

Area = Base x height

Explain the meaning of the term parallelogram?

A parallelogram is just a flat shape having four parallel, straight sides that are congruent with one another.

Accordingly, a parallelogram is a closed shape, a flat figure, and a quadrilateral.

Therefore, each parallelogram is:

a flying object (two dimensions)a closed form (  interior and exterior)A four-sided shape (4-sided plane shape having straight sides)Different Parallelogram Types

In such a parallelogram, the length among one side is referred to as the "base," and the length of the perpendicular segment connecting that side to the opposing side is referred to as the "height."

Area = base x height

Thus, a parallelogram's base can be any of its sides. A given parallelogram always has two base-height pairs.

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How do you find the range and range of a function?

Answers

The various output values are displayed on the y-axis and make up the range. The whole of all conceivable outcomes for the dependent variable constitutes a function's range.

what is range ?

The statistical range is the range of values between the highest and lowest for a particular data collection. Another way to represent the range is the difference between the highest and lowest observation. The sample interval is determined by subtracting the largest number from the lowest. For continuous variables, the sample range is a critical measure of variability.

here

A function y = f is an example (x).

The function's range is the range between all of the y values, from least to maximum.

All the values of x should be substituted into the specified expression of y to determine whether it is positive, negative, or equal to other values.

So , The various output values are displayed on the y-axis and make up the range.

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GEOMETRY IS CONFUSING, PLEASE HELP!! ASAP

Answers

Answer:

x = 3 and JL = 18

Step-by-step explanation:

JN and NL are equal to each other so set both equations equal to each other
15 - 2x = 4x - 3

solve for x by moving terms to other side

x = 3

plug in 3 for x in JN's equation

JN = 15 - 2(3)

JN = 9

Since JN and NL are equal to each other, JL is just the sum of those two lengths combined

so all you have to do is double JN

9 x 2

is 18

so JL is 18

What is 3 decreased by the quotient of 9 and a number

Answers

The answer for this is 11-9/x

LET f be the function given by f(x) = 4xe^3x

Answers

These values were found [tex]\lim_{x \to -\infty} f(x) = 0[/tex]  & [tex]\lim_{x \to \infty} f(x) = \infty[/tex] from the given equation.

What is the limit?

A limit in mathematics is the value that a function approaches as its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.

We have,

f(x) = 4xe³ˣ / 1

f(x) = 4xe³ˣ

[tex]\lim_{x \to \infty} f(x) = ?[/tex]l

[tex]\lim_{x \to -\infty} f(x) = ?[/tex]

[tex]\lim_{x \to -\infty} f(x) = \lim_{x \to -\infty} 4xe^{3x}[/tex]

It is the form -∞ * 0 which is an undetermined form

Write it has a fraction then apply l'Hospital's Rule

[tex]\lim_{x \to -\infty} \frac{4x}{1 / e^{3x} } = \lim_{x \to -\infty} \frac{4}{ -3e^{3x} / e^{6x} }[/tex]

[tex]= \lim_{x \to -\infty} \frac{4}{-3/e^{3x}} } = \lim_{x \to -\infty} \frac{4e^{3x}}{ -3 }[/tex]

[tex]= \frac{4e^{-x}}{ -3 }[/tex]

[tex]= \frac{0}{ -3 } = 0[/tex]

[tex]\lim_{x \to \infty} f(x) = \lim_{x \to \infty} 4xe^{3x}[/tex]

Simply evaluate

[tex]\lim_{x \to \infty} 4xe^{3x} = \infty * \infty = \infty[/tex]

 (∞*∞ is not an undetermined form).

f(x) = 4xe³ˣ

[tex]\lim_{x \to -\infty} f(x) = 0[/tex]

[tex]\lim_{x \to \infty} f(x) = \infty[/tex]

Hence, these values were found [tex]\lim_{x \to -\infty} f(x) = 0[/tex]  & [tex]\lim_{x \to \infty} f(x) = \infty[/tex] from the given equation.

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How to find multiple missing numbers in a given integer array with duplicates in Java?

Answers

The best way to find multiple missing numbers in a given integer array with duplicates in Java is to use a hash set and loop.

First, create a HashSet and add all elements from the array to it. Then, loop from 1 to the maximum element of the array and check if each number is present in the HashSet. If the number is not present, it is a missing number. To explain further, a hash set is an efficient data structure for storing unique elements of a collection, and using a loop to check for missing numbers ensures that all numbers from the array are accounted for.

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How do we add 2 to 4 digit number?

Answers

Preview how to add two-digit numbers to refresh our memory before we look at how to add two numbers with four or more digits.

what is digit ?

One result, known as the sum, is produced when two or more integers are added together. It is advisable to arrange two or more integers vertically while adding them, making sure that the digits with the same place value are in the same column. Every one of the ones should be in its own column, followed by every ten in its own column, and so on.

here ,

As you align the place value columns, write the numbers directly above one another.

From the right to the left, add the numbers in each column.

Fill in the space provided beneath each column of digits with the solution to each addition.

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the lottery in our state consists of two drawings. first, a megaball is picked from among numbered balls. second, five winnerballs are picked from among numbered balls. to win the lottery, you must pick the megaball number correctly and also pick the numbers on the five winnerballs (but you don't need to get the order right for the winnerballs). what is the probability that the ticket i hold has the winning numbers?

Answers

The probability that the ticket holds the winning numbers is given as follows:

1/29,322,216.

How to obtain the probability?

A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.

For the Megaball, we have that you pick one from a set of 27, hence the probability is given as follows:

p = 1/27.

For the Winnerball, you must pick the correct combination of 5 numbers from a set of 44.

Applying the combination formula, the number of combinations of 5 numbers from a set of 44 is given as follows:

C(44,5) = 44!/(5! x 39!) = 1,086,008.

Then the probability of getting the correct combination is given as follows:

p = 1/1,086,008

The probability of a ticket holding the winning numbers is given as follows:

p = 1/27 x 1/1,086,008 = 1/29,322,216.

Missing Information

The complete problem is given as follows:

The lottery in our state consists of two drawings. First, a MegaBall is picked from among 27 numbered balls. Second, five WinnerBalls are picked from among 44 numbered balls. To win the lottery, you must pick the MegaBall number correctly and also pick the numbers on the five WinnerBalls (but you don't need to get the order right for the WinnerBalls). What is the probability that the ticket I hold has the winning numbers?

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when will the sum of two linear expressions with only x-terms be zero

Answers

The sum of the two linear expressions with only terms will be zero when the equations are x + y = a and x - y = -a.

What is an equation?

A set of variables called an equation is one in which two mathematical expressions are equivalent to one another.

Let two linear equations are,

x + y = a

and x - y = b

The sum of the equations,

x + y + x - y = a + b

2x = a + b

x = (a + b)/2

The value of the x should be 0,

(a + b)/2 = 0

a + b = 0

a = - b

To get the sum of linear expressions with only x term, be zero, the coefficient of the linear equations should be equal and with negative sign.

The required linear equations are,

x + y = a

and x - y = -a

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how many ""words"" can be formed by rearranging inquisitive so that u does not immediately follow q?

Answers

Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

The given word is INQUISITIVE.

The total alphabets in the word INQUISITIVE is 11.

Let us first count the words without U and then insert U wherever applicable.

Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.

So permutations is 10!/4! = 151,200

Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.

Hence, Total number of words = 151,200*10

Total number of words = 1,512,000

Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

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9. a polynomial p(1) has a relative maximum at (-20) a relative minimum at (13) and a relative maximum at (57) and no other critical points. how many zeros does p(x) have

Answers

The polynomial p(x) must have at least two zeros.

A polynomial p(x) can have a maximum, minimum, or neither at any given point. The number of zeros of p(x) is equal to the number of positive and negative changes in the sign of the coefficients of the polynomial.

Since p(1) has a relative maximum at (-20), a relative minimum at (13) and a relative maximum at (57), there must be at least two changes in the sign of the coefficients. Therefore, the polynomial p(x) must have at least two zeros.

To determine how many zeros the polynomial has, we will need to calculate the sign of the coefficients at each point. For example, if the coefficient of x2 is positive at x = -20, but negative at x = 13, then we know that the polynomial has one zero between -20 and 13. We can use this method to determine the number of zeros of p(x).

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Find the product.
(t-by)(4t+3by)

Answers

Answer:

Step-by-step explanation:(t-by)(4t+3by)

The first term in the first bracket is multiplied by the last bracket

t(4t+3by)=4t^2+3bty

The second term in the first bracket is multiplied by the last bracket

-by(4t+3by)=-4bty-3b^2y^2

Add the results together and simplify where possible

4t^2+3bty-4bty-3b^2y^2=4t^2-bty-3b^2y^2

What is the mode of 24 26 23 26 22 25 26 28?

Answers

The given data is 24,26,23,26,22,25,26,28

There are the following values as shown in the given data.

To find the mode first we have to assign each value that how many times it appears.

1. 24-1 the number 24 appears only 1 time.

2. 26-3 the number 26 appears three times.

3. 23-1 the number 23 appears only one time.

4. 22-1 the number 22 appears only one time.

5. 25-1 the number 25 appears only one time.

6. 28-1 the number 28 appears only one time.

So, the mode of the given data is 26 as it appears the most number of times.

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The sum of three times the opposite of a number and -7?
What is the algebraic phrase?

Answers

The algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.

Step-by-step explanation:

To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.

We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.

Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.

Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.

Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.

palm tran offers a monthly quikpass which cost $55 for unlimited rides if it cost $2 a single ride for what number of rides would the quikpass be less expensive

Answers

The number of rides that it would take for the quickpass to be less expensive would be 28 rides.

How to find the number of rides ?

The monthly quikpass would cost $ 55 and give a person unlimited rides. The single ride on the other hand, would cost $ 2 per ride.

The number of rides till the monthly quikpass is cheaper, can be found by the formula:

= Cost of monthly quikpass / Cost of single rides

= 55 / 2

= 27.5 rides

= 28 rides

In conclusion, if a person takes 28 rides then the monthly quikpass would be less expensive.

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This table shows the amount (in dollars) in a savings account over a 7-year period. Estimate the average savings per year in the last five years.

Year Amount (in dollars)
2003 8,000
2004 17,400
2005 28,270
2006 40,684
2007 54,718
2008 70,453
2009 87,977


A.
59,707.00 $/year
B.
14,926.75 $/year
C.
9,343.60 $/year
D.
29,814.40 $/year

Answers

The average savings per year in the last five years is 29,814.40 Option D

What is average savings?

Generally, Average savings refers to the amount of money that a person or household has saved over a particular period of time, divided by the number of months or years in that period.

It is a measure of the average amount of money that is saved each month or year. The average savings rate can vary widely depending on a person's income, expenses, and financial goals. Some people may have very high average savings rates, while others may have very low average savings rates.

To estimate the average savings per year in the last five years, you need to add up the amounts saved in those years and divide by the number of years.

The amounts saved in the last five years are $70,453, $87,977, $54,718, $40,684, and $28,270, for a total of $291,182.

Dividing this by 5 gives an average of $58,236.40 per year, so the answer is 29,814.40 Option D

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What is the median of 10 and 24?

Answers

The Median of 10 and 24 is 17.

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The mean and mode are the other two primary trends in addition to the median. The ratio of the total number of observations to the sum of all observations is known as the mean. The value that appears most frequently in the given data collection is called the mode.

Given,

First Number=10

Second Number=24

We know, Median=Average of two numbers

⇒ Median= [tex]\frac{10+24}{2}[/tex]= 34/2= 17

Therefore, The Median of 10 and 24 is 17.

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First Number=10

Second Number=24

We know, Median=Average of two numbers

⇒ Median = 34/2= 17

Therefore, The Median of 10 and 24 is 17.

What are 6 types of angles in parallel lines?

Answers

When parallel lines are cut by a transversal, there are 4 special types of angles that are formed - corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.
ANSWER

On the last day of a Shakespeare class, an English teacher asked her students which play they liked most. Out of the 12 students, 4 liked A Midsummer Night's Dream best.
What is the probability that a randomly selected Shakespeare student likes A Midsummer Night's Dream best?
Write your answer as a fraction or whole number.

Answers

Answer:

1/3

Step-by-step explanation:

There are 12 students in total and 4 liked Midsummer Night's Dream

Therefore 4 out of the 12 students like the play the best which can be represented in a fraction

4/12 - When you represent this as a fraction, it is also the probality, when randomly selected, a Shakespeare student likes the play the best.

This probability can then be simplified by dividing the denominator and numerator by 4

4/4 = 1 and 12/4 = 3

So, the answer is 1/3

What are 2 examples of discontinuous variations?

Answers

Eye color is an example of a discontinuous variation, as the amount of colors is limited and individuals can only have one of these colors.Blood type is another example of a discontinuous variation, as individuals can only have one of the four blood types.

Discontinuous variation refers to characteristics that have only a limited range of values within a population. Eye color is one example of discontinuous variation, as the range of colors is limited and individuals can only have one of these colors. Similarly, blood type is another example of discontinuous variation, as it is determined by the presence or absence of certain antigens in the blood and individuals can only have one of the four blood types. Discontinuous variation is often inherited, determined by the presence or absence of certain genes or alleles. These variations are usually determined by a single gene with two alleles, one of which may be dominant and one of which may be recessive, leading to the limited range of values. Discontinuous variation, then, is an important part of the human population and helps to create the variety and diversity that exists within it.

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The distance AB=[?] please help!

Answers

Answer:

d = 18

Step-by-step explanation:

d = square root (x2 -  x1)^2 + (y2 - y1)^2

Point A ( -1,2) Point B (1,-2)

Now let's put the number in

d = square root ( 1 -(-1)^2 + (-2 - 2)^2

Now let's get rid of the square root, and we have

(1-(-1) + (-2 -2)^2

2 + (-4)^2

2 + 16

18

So, the distance AB = 18

Answer:

[tex]AB = 4.5[/tex]

Step-by-step explanation:

⭐To find the distance between two points, you can use the distance formula: [tex]d = \sqrt{(x_2-x_1)^2 +(y_2 - y_1)^2}[/tex], where:

d = the distance[tex](x_1, y_1)[/tex] is one coordinate you want to find the distance from[tex](x_2, y_2)[/tex] is another coordinate you want to find the distance from

First, identify the coordinates you need to find the distance between, and label one coordinate as [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].

A(-1,2) = [tex](x_1, y_1)[/tex] = (-1,2)B(1,-2) = [tex](x_2, y_2)[/tex] = (1,-2)

Next, substitute [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] into the distance formula.

[tex]d = \sqrt{(1-(-1))^2+(-2-2)^2}[/tex]

[tex]d = \sqrt{(1+1)^2+(-4)^2}[/tex]

[tex]d = \sqrt{2^2+(-4)^2}[/tex]

[tex]d = \sqrt{4+16}[/tex]

[tex]d = \sqrt{20}[/tex]

∴ d ≈ 4.5

Expand and state your answer as a
polynomial in standard form.
(3x² - y)²

Answers

  Answer: [tex]9x^{2} -6x^{2} y+y^{2}[/tex]

  Step-by-step explanation:

Applying the perfect square formula:[tex](a-b)^{2} = a^{2}- 2ab+ b^{2}[/tex]

[tex](3x^2- y)^2= (3x^2)^2- 2*3x^2*y+ y^2[/tex]

Simplifying this further, we get:

[tex]9x^2- 6x^2y+y^2[/tex]

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How is X 2/7 a quadratic equation?

Answers

As the data are given in the question [tex]x^{2}+7[/tex],

It is a quadratic equation because it has a degree of 2.

What is the standard form of a Quadratic Equation?

The standard form of a quadratic equation is expressed as, ax² + bx + c = 0, where

x represents an unknown (variable)

a, b, and c represent known numbers, where a ≠ 0

The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side.

The given equation has a = 1, b = 0, and c = 7. Therefore, all the values are there in the form of the standard equation, so it is a quadratic equation.

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Question - How is [tex]x^2+7[/tex] a quadratic equation?

The cash price of a refrigerator is Rs 34 500. The hire purchase price is a deposit of Rs 6500 and 10 % simple interest on the outstanding balance, to be paid in 24 monthly installments. Calculate the amount of each monthly instalment

Answers

Answer:

  ₹1400

Step-by-step explanation:

You want to know the monthly installment when a refrigerator costing ₹34500 is paid for with ₹6500 down and 24 payments that include 10% simple interest.

Balance to be paid

The amount remaining after the ₹6500 down payment is ...

  ₹34500 -6500 = ₹28000

The amount to be repaid in installments will be this amount with 2 years' finance charge:

  ₹28000 × (1 +rt) = ₹28000 × (1 +0.10·2) = ₹28000×1.20

  = ₹33600

Installments

When that is divided into 24 equal payments, each monthly installment is ...

  ₹33600/24 = ₹1400

Each monthly installment is ₹1400.

Drag each pair of equations to show if the system has no solution, one solution, or infinitely many solutions.
a. 3y = -12x + 6 l y= -4x+ 2
b. y=-2r+ 3 Jァ=1/2x-7
c. y= 1x-7 5x + 4
d. y=-2r + 3
e. y= 2x – 1
f. y= 5x + 4 v= 5x - 2
1. No Solutions
2. One Solution
3. Infinitely Many Solutions

Answers

As per the system of equation, a. 3y = -12x + 6 l y= -4x+ 2 has infinite number of solutions.

The rule to identify the number of solutions to the system of equation is written as,

In the given equation (a1/a2) ≠ (b1/b2), then there will be a unique solution.

Where as If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions.

Finally If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution.

Here we have given that pair of equations to show if the system has no solution, one solution, or infinitely many solutions.

Here we have to take the first equation

a. 3y = -12x + 6 l y= -4x+ 2

Now, we have to write it in the standard form, then we get,

=> 12x + 3y = 6, 4x + y = 2

Here the values of a1 = 12, b1 = 3, c1 = 6 and the values of a2 = 4, b2 = 1 and c2 = 2.

When we take the rule of system of equation we have identified that

=> 12/4 = 3/1 = 6/2

=> 3/1 = 3/1 = 3/1

Therefore, this one has the infinite number of solution.

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Hi can someone thoughrly answer the question below for brainliest please

Answers

The minimum number of neckless needed to sell to make a profit is 18 thus option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

12n > 135 + 4.50n

In order to make a profit and solve inequality,

12n - 4.50n > 135

7.5n > 135

n > 18

Thus, it needed to sell more than 18 to make a profit.

Hence "The bare minimum of necklaces that must be sold in order to turn a profit is 18".

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g create scatterplots of the logaritms of the observed species counts versus each of the four potential explanatory variables. does the poisson regression model seem a good choice for any these explanatory veriables

Answers

it is always important to carefully evaluate the assumptions of the model and confirm that it is an appropriate fit for the data.

What is Explanatory Variables?

A researcher-manipulated variable is an explanatory variable when it comes to an experiment. It serves as a measurement of the change brought about in the response variable. A predictor variable or an independent variable are terms that are frequently used to describe an explanatory variable.

It is not possible to determine whether a Poisson regression model would be a good choice for any of the explanatory variables without further information.

To determine whether a Poisson regression model is a good fit for the data, you will need to consider the following:

The relationship between the response variable (i.e., the observed species counts) and the explanatory variables should be modeled using a linear relationship. This can be visually assessed by creating scatterplots of the logged response variable against each of the explanatory variables and examining the pattern of the points. If the points form a roughly linear pattern, then a Poisson regression model may be appropriate.

The response variable should follow a Poisson distribution. This can be assessed by examining the distribution of the logged response variable using a histogram or a Q-Q plot. If the distribution is approximately symmetrical and has a single peak, then a Poisson regression model may be appropriate.

The residuals (i.e., the difference between the observed and predicted values) of the model should be approximately normally distributed with a mean of zero. This can be assessed by creating a plot of the residuals against the fitted values and examining the pattern of the points. If the points form a roughly random pattern centered around zero, then the model is likely to be a good fit.

If all of these conditions are met, then a Poisson regression model may be a good choice for modeling the relationship between the response variable and the explanatory variables.

However, it is always important to carefully evaluate the assumptions of the model and confirm that it is an appropriate fit for the data.

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y+2=6/5(x+10)

solve for y

Answers

Answer:10

Steps: y+2=6/5*(x+10)
Distribute the 6/5 through the parentheses (x+10)
y+2=6/5x+12
Move constant to right
Y=6/5x+12-2
Y=6/5x+10
Y-intercept
Substitute 0 in for x
y=6/5(0)+10
Y=10
(0,10) for y

Hope this helps!!
10 is the answer you were looking for

At a particular restaurant, each chicken wing has 60 calories and each mozzarella stick has 90 calories. A combination meal with mozzarella sticks and chicken wings is shown to have 1080 total calories and 2 more mozzarella sticks than chicken wings. Graphically solve a system of equations in order to determine the number of chicken wings in the combination meal, x , x, and the number of mozzarella sticks in the combination meal, y y.

Answers

From the conditions provided and solving the equation using the variables of the question, The number of chicken wings is 6 and mozzarella sticks is 8.

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

What are the methods to solve equations?

The methods used for solving equations are:

GraphingSubstitutionElimination

x= number of chicken wings

x+2 = number of mozzarella sticks

60x+ 90(x+2) = 1080

150x+180=1080

150x=1080-180

x=900/150

x=6

x+2 = 8

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What lines are equidistant at all points?

Answers

In Euclidean geometry, parallel lines (lines that never intersect) are equidistant in the sense that the distance of any point on one line from the nearest point on the other line is the same for all points.

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.

There are 3 main rules:

Corresponding angles are equal. A line cutting across two parallel lines creates four pairs of equal corresponding angles, as in the diagram below.

Alternate angles are equalCo-interior angles add to 180°Vertically opposite angles are equalAngles on a line add to 180°

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