£ represents 29 students in a class

Answer:

y = 6x - 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Equality Properties

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Point-Slope Form]   y - 4 = 6(x - 3)

Step 2: Rewrite

Find Slope-Intercept Form.

Answer:

To solve the problem, we can use the following steps:

Let the number of blue balls be x.

Then, the number of red balls is also x.

The number of green balls is x + y, where y is some positive integer.

The total number of balls is x + x + (x + y) = 3x + y.

We know that the total number of balls is given as some value, say z.

So, we have 3x + y = z.

This is the equation created to find the number of blue balls.

In summary, the equation to find the number of blue balls is 3x + y = z, where x is the number of blue balls, x is also the number of red balls, y is some positive integer, and z is the total number of balls.

Answer:

Slope Intercept

Step-by-step explanation:

Before the change maple tree was 240 cm longer than cherry tree when the heights of a maple tree and a cherry tree currently have a ratio of 5:2. if the maple tree grew 20 centimeters, and 20 centimeters was cut off the top of the cherry tree, the ratio of their heights would be 3:1.

One quantity can be expressed as a fraction of another using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,

Current ratio = 5:2

Let y equal the height of the cherry tree, and x represent the height of a maple tree.

x/y = 5/2

New ratio = 3:1

x+20/y-20 = 3/1

Cross multiplying,

x + 20 = 3(y - 20)

x = 3(y - 20) -20

Equating values in x/y = 5/2

3(y-20) - 20/y = 5/2

5y = 2(3y - 60) -20

5y = 6y - 160

y = 160

Now, for value of x,

Equating values in x = 3(y - 20) -20

x = 3(160 - 20) - 20

x = 480 - 60 - 20

x = 400

For the height,

400 - 160

240

Before the change maple tree was 240 cm longer than cherry tree when the heights of a maple tree and a cherry tree currently have a ratio of 5:2. if the maple tree grew 20 centimeters, and 20 centimeters was cut off the top of the cherry tree, the ratio of their heights would be 3:1.

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Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are  greatest lenght of the pieces by greatest common factor.

What does "largest common factor" mean?

a.  As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely

60 = 2 × 2 × 3 × 5

48 = 2 × 2 × 2 × 2 ×3

72 = 2 × 2 × 2 × 3 × 3

The common factors are: 2, 2 and 3

Thus the GCF = 2 × 2 × 3  = 12

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

b.  For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So

Number of pieces for blue cloth = 60/12 = 5

Number of pieces for gold cloth = 48/12 = 3

Number of pieces for white cloth = 72/12= 6

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Answer:

Step-by-step explanation:

First, you gotta work out the hypotenuse of ABC, which is AC.

To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.

12.5/5 = 2.5

The scale factor length between the two triangles is 2.5.

You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.

Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB

Pythagoras's theorem = \(a^2 + b^2 = c^2\)

a = BC = 12.5

b = AB = we need to work this out

c = AC (the hypotenuse we just worked out) = 32.5

\(12.5^2 + b^2 = 32.5^2\) Let's both simplify and rearrange this at the same time so that we have our b on one side.

\(b^{2}\) = 1056.25 - 156.25

b = \(\sqrt{(1056.25 - 156.25)}\)

b = \(\sqrt{900}\)

b = AB = 30  We've found b or AB, now we can work out the perimeter of ABC.

Perimeter of ABC = AB + BC + AC

= 30 + 12.5 + 32.5

= 75  Here's the perimeter for ABC.

The number line which represents the solution set for the inequality is

x ≤ -5.

What is number line?

In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.

Main body:

[Given]=

-4(x + 3) ≤ -2 - 2x

Using the distributive property of multiplication on LHS

-4x-12 ≤ -2 - 2x

By transposing the terms with variables on one side and the constant on the other side

- 4x + 2x ≤ –2 + 12

By further calculation

- 2x ≤ 10

Divide both sides by -2

x ≤ -5

Therefore, x ≤ -5 represents the solution set.

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The number of robberies reported in your city is a quantitative variable.

Quantitative variables are numerical in nature and represent quantities or amounts. They can be further classified as either discrete or continuous. In the case of the number of robberies reported, it is a discrete quantitative variable because it takes on a countable, whole number value. It represents a specific quantity or amount of robberies reported in the city, such as 0, 1, 2, and so on.

On the other hand, qualitative variables (also known as categorical variables) represent qualities or characteristics that do not have a numerical value. Examples of qualitative variables could be the type of crime (e.g., robbery, burglary, assault) or the color of a car (e.g., red, blue, green).

Therefore, the number of robberies reported in your city is a quantitative variable.

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13.2 credits are earned per semester.

The outcome you receive when you add together two or more numbers and divide the sum by the variety of amounts: Since the sum of the three numbers is 39 and 39 divided by three is 13, the average of the three numbers 7, 12, and 20 is 13.

The sample size \((x bar)\) provides the most accurate point estimate of the genuine population mean (μ) ( if the true population mean is unknown).

Given: A study at the nearby institution using a sample of 80 students discovered that each student obtained 13.2 credit hours on average per semester.

\(x bar\) = 13.2 credits per semester, for example.

The sample mean, or μ = \(x bar\)= 13.2 credit hours per semester, should thus be considered the best point estimate for the average number of credit hours per semester for all students at the local college.

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Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

the dimensions of the rectangular garden are 55 ft by 60 ft.

Let's assume that the width of the rectangular garden is x ft. Then, according to the problem, the length is 5 ft longer than the width, which means the length is (x+5) ft.

The area of a rectangle is given by the formula A = length × width. In this case, we know that the area is 3300 ft². So we can set up the following equation:

3300 = x(x+5)

Expanding the right-hand side, we get:

3300 = x²2 + 5x

Now, we can rearrange this equation into a standard quadratic form, by moving all the terms to one side:

x²2 + 5x - 3300 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b²2 - 4ac)) / 2a

where a = 1, b = 5, and c = -3300.

Plugging in these values, we get:

x = (-5 ±√5²2 - 4(1)(-3300))) / 2(1)

x = (-5 ±√(13625)) / 2

x = (-5 ± 115) / 2

We can discard the negative solution, since the width of the garden cannot be negative. Therefore, we have:

x = (-5 + 115) / 2

x = 55

So the width of the garden is 55 ft. And the length is:

x + 5 = 55 + 5 = 60

Therefore, the dimensions of the rectangular garden are 55 ft by 60 ft.

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Answer:

9:20 A.M.

Step-by-step explanation:

Let's list out the points at which the 25-minute bell rings:

25 mins, 50 mins, 1 hour 15 mins, 1 hour 40 mins,  2 hours 5 mins, 2 hours 30 mins, 2 hours 55 mins, 3 hours 20 mins

Next let's list out the points at which the 40-minute bell rings:

40 mins, 1 hour 20 mins, 2 hours, 2 hours 40 mins, 3 hours 20 mins

From the lists above we see a common multiple of 3 hours and 20 minutes.

So, to find what time they ring after 6 A.M. add 3 hours and 20 minutes to it.

6 AM + 3 hours and 20 minutes = 9:20 A.M.

Thus, both bells would ring together again at 9:20 A.M.

Hope this helps!!

Answer:

Undefined.

Step-by-step explanation:

m = y2-y1 / x2-x1

m = 3 - 2 / 1 - 1

m = 1/0, which is undefined.

You can also tell because (1,2) and (1,3) is a vertical line, which means the slope is undefined.

Answer:

  MN = 9

Step-by-step explanation:

You want MN if KL : LM : MN = 2 : 3 : 1 and KN = 54.

The fraction of the total length that is segment MN is ...

  MN/KN = 1/(2+3+1) = 1/6

Multiplying by KN, we have ...

  MN = 1/6·KN = 1/6·54 = 9

The length of MN is 9.

Answer:

5(3x-5)

Step-by-step explanation:

This might be wrong!

Answer:

3.678 Kilograms

Answer:

3678/1000

=3.678kg

the answer is 3.678kg

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

y=-3x+5

On solving the provided question we can say that 50 vehicles, 11 of which are damaged, leave 39 intact. Conditions for inference are satisfied because both proportion number of successes and failures is greater than 10.

Relationships that consistently have the same ratio are referred to as proportionate. For instance, the average quantity of apples per tree determines how many trees there are in an orchard and how many apples are in a harvest of apples. In mathematics, proportional denotes a linear relationship between two numbers or variables. The other amount doubles when the first quantity does. The other lowers as well when one of the variables falls to 1/100th of its prior value.

Yes, the prerequisites for inference are satisfied.

Inference requirements:

The sample must have at least 10 successes and 10 failures in order to construct a confidence interval for a population proportion.

50 vehicles, 11 of which are damaged, leave 39 intact.

Conditions for inference are satisfied because both the number of successes and failures is greater than 10.

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Answer:

Binomial

Step-by-step explanation:

First you solve:

12a+2a-8=14a-8

Now we can see that there are two terms

This is a binomial

Hope this helps!

In 2005, in Muehler v. Mena, the Supreme Court held that officers executing a search warrant of a house seeking weapons and evidence of gang membership in the wake of a drive-by shooting acted reasonably by detaining the occupants of the house in handcuffs during the search, especially since there were only two officers to watch over four people.

The Supreme Cοurt is the highest judicial bοdy in the United States and is respοnsible fοr interpreting the law and ensuring its cοnstitutiοnality. It is the final authοrity οn legal matters and has the pοwer οf judicial review, meaning it can declare laws οr gοvernment actiοns uncοnstitutiοnal.

The Supreme Cοurt cοnsists οf nine justices whο are appοinted fοr life by the President and cοnfirmed by the Senate. Its decisiοns have a significant impact οn shaping legal precedents and influencing the interpretatiοn οf the Cοnstitutiοn.

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Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

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Answer: It's 1 - 4

2 -8

3 -12

6 - 24 Your welcome

Step-by-step explanation:

The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

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Answer:

arithmetic

Step-by-step explanation:

geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time

Answer:

This is an arithmetic sequence and the common difference is equal to 2.

the probability of the daily water consumption exceeding 924,210 gallons and experiencing a noticeable drop in water pressure is approximately 0.0606 or 6.06%.

To solve this problem, we need to find the probability that the daily water consumption exceeds 924,210 gallons, given that the mean daily water consumption is 814,856 gallons and the standard deviation is 70,221 gallons.

Using the formula for standardizing a normal random variable, we have:

z = (x - μ) / σ

where x is the daily water consumption, μ is the mean daily water consumption, σ is the standard deviation, and z is the standard normal random variable.

Substituting the values given in the problem, we have:

z = (924,210 - 814,856) / 70,221 = 1.55

Using a standard normal table or calculator, we find that the probability of a standard normal random variable being greater than 1.55 is approximately 0.0606.

Therefore, the probability of the daily water consumption exceeding 924,210 gallons and experiencing a noticeable drop in water pressure is approximately 0.0606 or 6.06%.

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Answer:

17.3 feet

Step-by-step explanation:

We can use the tangent function to evaluate the height of the building.

The definition of the tangent function is

\(\tan x=\frac{O}{A}\)

Where

\(A\) is the side adjacent to the angle

\(O\) is the side opposite to the angle

In this example we are given values of the adjacent side and the angle.

Knowing that we can evaluate the side opposite to the angle.

Numerical Evaluation

We are given

\(x=68\\A=7\)

Substituting these values into the equation for the tangent function yields\(\tan 68=\frac{O}{7}\)

Lets solve for \(O\).

Multiply both sides by \(7\).

\(O=7*\tan 68\)

Evaluate \(\tan 68\).

\(O=7*2.47508685\)

\(O=17.325608\)

Rounding to the nearest tenth gives us

\(O=17.3\)

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Answer:

point s at (0,5)   point t at (5,3)  point u at (4,1)

Step-by-step explanation:

happy life

Answer:

Solid line y is less than or equal to -1+4

Dashed line y is greater than or equal to 1/3

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

h bjwkjdfrekojfhrkeifcuhenjdc

Step-by-step explanation: