a rectangle is 5 times as long as it is wide. It’s perimeter is 24 in. How long and how wide is the rectangle?

Answer:

See below.

Step-by-step explanation:

First, we know that area = length times width. so the first step is to figure out how we got 8[tex]x^{2}[/tex]-12x. factor out 4x  from the equation to get the length of the rectangular length. 4x(2x-3). so the length of the rectangle is 2x-3. to prove your answer, FOIL the two numbers, 4x and 2x-3, to get 8[tex]x^{2}[/tex]-12x. This equation is in standard form. The final answer is 8[tex]x^{2}[/tex]-12x

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 2 and y = 0

Step-by-step explanation:

Let's solve your system by elimination.

2x−3y=4;4x+3y=8

2x−3y=4

4x+3y=8

Add these equations to eliminate y:

6x=12

Then solve 6x=12 for x:

6x=12

x = 2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x−3y=4

Substitute 2 for x in 2x−3y=4:

(2)(2)−3y=4

−3y+4=4  (Simplify both sides of the equation)

−3y+4+−4=4+−4  (Add -4 to both sides)

−3y=0

y = 0

The approximate volume of Samuel's wooden cylinder is calculated as: 56.52 cubic inches.

The volume of a cylinder can be calculated by multiplying the circumference with the height of the cylinder.

Therefore, the volume of a cylinder is calculated as V = πr²h, where h is the height and πr² is the circumference of the cylinder.

Given the following:

Circumference = 9.42 inches

Height of the cylinder = 6 inches.

Thus, we have:

Volume of cylinder = 9.42 * 6 = 56.52 cubic inches.

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Answer: 10,000

Step-by-step explanation:

10^5 = 100000 and 10^-1 = 1/10, so the answer is 10000

Answer:

3. [tex]\frac{3}{4}[/tex] and [tex]\frac{6}{8}[/tex]  4.[tex]\frac{8}{2}[/tex] and [tex]\frac{4}{1}[/tex]

5. [tex]\frac{10}{50}[/tex]   6.[tex]\frac{1}{4}[/tex]  7.[tex]\frac{45}{50}[/tex]

8. x=1  9.x=30  10.x=16

11. [tex]\frac{8}{12} \frac{4}{6} \frac{2}{3}[/tex]  

12.   red pencils=[tex]\frac{4}{10}[/tex]   black pencils=[tex]\frac{6}{10}[/tex]

total pencil = 4+6 =10

13. no es claramente visible, pero la respuesta podría ser [tex]\frac{1}{3}[/tex] y [tex]\frac{2}{6}[/tex]

Answer:

X = -22

Step-by-step explanation:

WX = 1/7 WY

The length of WY = 2 - (-26) = 2 + 26 = 28

WX = 1/7WY = 28/7 = 4

X = -26 + 4 = -22

Answer:

X is at -22

Step-by-step explanation.

distance between W and Y is 28. 28/7 is 4. 4 away from w is -22.

The probability of coffee or cookies is 0.456, and the probability of tea given that it contains mugs is 0.727.

The probability of an event occurring is the number of successful outcomes divided by the total number of possible outcomes. In this case, we are asked to find the probability of two different combinations: coffee or cookies, and tea given that it contains mugs.

Part 1 of 3:

(a) Coffee or cookies

To find the probability of coffee or cookies, we need to add the probability of coffee and the probability of cookies, and then subtract the probability of both occurring. The probability of coffee is 16/79, and the probability of cookies is 20/79.

The probability of both occurring is 0, since there are no gift baskets that contain both coffee and cookies. So, the probability of coffee or cookies is:

P(coffee or cookies) = P(coffee) + P(cookies) - P(coffee and cookies)
P(coffee or cookies) = 16/79 + 20/79 - 0
P(coffee or cookies) = 36/79
P(coffee or cookies) ≈ 0.456

Part 2 of 3:

(b) Tea, given that it contains mugs

To find the probability of tea given that it contains mugs, we need to use the formula for conditional probability:

P(A|B) = P(A and B)/P(B)
In this case, A is the event of tea, and B is the event of mugs. The probability of tea and mugs is 16/79, and the probability of mugs is 22/79. So, the probability of tea given that it contains mugs is:

P(tea| mugs) = P(tea and mugs)/P(mugs)
P(tea| mugs) = (16/79)/(22/79)
P(tea| mugs) = 16/22
P(tea| mugs) = 8/11
P(tea| mugs) ≈ 0.727

Therefore, the probability of coffee or cookies is 0.456, and the probability of tea given that it contains mugs is 0.727.

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The 95% confidence interval for the population mean IQ score is (99.62, 111.98), therefore option(A) use normal distribution

Since the sample size is greater than 30 (n=20), we can use the normal distribution to construct a confidence interval for the population mean.

We can use the formula:

Confidence Interval = sample mean ± z (standard error)

where z is the critical value from the standard normal distribution corresponding to the desired level of confidence, and the standard error is calculated as:

standard error = o / sqrt(n)

where o is the sample standard deviation and n is the sample size.

Assuming a 95% confidence level, we can find the critical value z from the standard normal distribution table or using a calculator. The critical value for a 95% confidence level is 1.96.

Substituting the values in the formula, we get:

Confidence Interval = 105.8 ± 1.96 × (15 / sqrt(20))

Confidence Interval = 105.8 ± 6.18

Therefore, the 95% confidence interval for the population mean IQ score is (99.62, 111.98).

Therefore, we can use the normal distribution to construct a confidence interval for the population mean IQ score.

Therefore, the correct option is (A) Use normal distribution.

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Answer:

A rectangle park is 45m long and 30m wide. A path 2.5m wide is constructed outside the park. Find the area of the path

Step-by-step explanation:

A rectangle park is 45m long and 30m wide. A path 2.5m wide is constructed outside the park. Find the area of the path

Answer: 6/13-2/13

I'm correct cause I always am hehe

Circle 1:

    R- 3cm

    D- 6cm

    C- 18.84cm

Circle 2:

    R- 6in

    D- 12in

    C- 37.68in

Circle 3:

    R- 9mm

    D- 18mm

    C- 56.52mm

your welcome :)

If in a fraction the numerator is 1 less than the denominator if 1 is added to the numerator and 5 to denominator the fraction becomes 1 / 2 . The  the original fraction​ is4/5.

Let's assume that the denominator of the original fraction is x. Then, according to the problem, the numerator is x - 1.

If 1 is added to the numerator and 5 is added to the denominator, we get:

(x - 1 + 1) / (x + 5) = 1/2

Simplifying the left side of the equation, we get:

x / (x + 5) = 1/2

Multiplying both sides by 2(x + 5), we get:

2x = x + 5

Subtracting x from both sides, we get:

x = 5

So, the denominator of the original fraction is 5, and the numerator is 5 - 1 = 4.

Therefore, the original fraction is 4/5.

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Answer:

15

Step-by-step explanation:

To solve 1/3 (-2x + 9 +3x) = 8, you need to follow these steps:

Multiply both sides by 3 to get rid of the fraction: -2x + 9 + 3x = 24

Simplify by combining like terms: x + 9 = 24

Subtract 9 from both sides: x = 15

Check your answer by plugging it back into the original equation: 1/3 (-2(15) + 9 + 3(15)) = 8

Simplify: 1/3 (9 + 45) = 8

Simplify: 1/3 (54) = 8

Simplify: 18 = 8

Since this is true, the answer is correct.

The solution is x = 15.

Answer: 24 green

Step-by-step explanation:

3 red for every 4 green, so three goes into 18 six times. Multiply four (green) by six, and you get 24. Sorry if the explanation doesn't help

In this case, the value of x is 9 Degrees.

From the given information, we know that ∠A is equal to 5x - 15 degrees. Now, we can use this equation to find the value of x. To do this, we need to rearrange the equation and solve for x. We can do this by adding 15 degrees to both sides of the equation, which gives us:

∠A + 15 = 5x

Now, we can divide both sides of the equation by 5 to isolate x, which gives us:

x = (∠A + 15) / 5

Therefore, we have found the value of x in terms of ∠A. If we know the value of ∠A, we can substitute it into this equation to find the value of x. For example, if ∠A is equal to 30 degrees, then:

x = (30 + 15) / 5
x = 9

So, in this case, the value of x is 9 degrees. I hope this helps you with your question. If you have any further questions or need any additional help, please let me know.

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At least 88.88% of islanders have blood pressure that falls between 47 and 101 millimetres of mercury using Chebyshev's Theorem.

For each data distribution, Chebyshev's Theorem gives a lower constraint on the percentage of data that is within a given range of standard deviations of the mean. It specifically asserts that at least 1-1/k2 of the data will fall within k standard deviations of the mean for each dataset, regardless of its shape. In this instance, we're trying to determine the percentage of islanders whose blood pressure is between 47 and 101 millimetres of mercury.

We must determine the upper and lower range boundaries' standard deviations from the mean in order to use Chebyshev's Theorem. The lowest and upper limits are both 27 mmHg below and above the mean, respectively. As we want to know what percentage of the data falls within three standard deviations of the mean, we set k=3 and the range to be 6 standard deviations broad (27 mmHg / 9 mmHg per standard deviation).

By using Chebyshev's Theorem, we can determine that at least 88.88% of the islanders have blood pressure that is within three standard deviations of the mean (1-1/32 = 8/9 = 0.8888). We can infer that at least 88.88% of islanders have blood pressure in the range of 47 mmHg to 101 mmHg as the range we are interested in is within three standard deviations of the mean.

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Answer:

Step-by-step explanation:

Answer:

960

Step-by-step explanation:

An adult male hippopotamus can weight from 3,500 pounds to 9,920 pounds, which is equivalent to 1.75 tons to 4.96 tons.

Weight is a measure of the force exerted on an object by gravity. It is typically measured in units of mass, such as pounds or kilograms, but is commonly referred to as "weight" in everyday language. The weight of an object can vary depending on its location and the strength of the gravitational field in that location.

To convert pounds to tons, we need to divide the weight in pounds by 2,000 (since there are 2,000 pounds in a ton). So, we have:

Minimum weight: 3,500 pounds / 2,000 = 1.75 tons (rounded to the nearest hundredth)

Maximum weight: 9,920 pounds / 2,000 = 4.96 tons (rounded to the nearest hundredth)

Therefore, an adult male hippopotamus can weigh approximately 1.75 to 4.96 tons.

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The ant must crawl 454.48 mm upwards to get from the base of the cone to the top of the hill. Inserting the values of h (447.68 mm) and r (20 mm) into the equation gives h = 8792/(3.14*202))*3 = 447.68 mm.

A cone is a three-dimensional geometric form with a smooth taper from a flat cylindrical base to a singular spot known as the tip. A cone has a curved surface that stretches from the base to the tip and an axis that runs through the base and apex.

The formula for the height of the cone is: Height = 3/πr2 (where r is the radius of the base of the cone). In this case, the radius is 20 mm, so the height is equal to: Height = 3/π(20)2 = 60/π mm.  The slant height, s, is equal to the square root of the height squared plus the radius squared. the distance the ant has to crawl from the base of the cone to the top of the hill, we can use the Pythagorean theorem to find.

1. To find the height of the cone, the formula for the volume of a cone can be used, where V = (1/3)πr2h. Rearranging this formula gives h = (V/(πr2))*3, where V is the volume of the anthill (8792 mm3), π is 3.14, and r is the radius of the anthill (20 mm).

2. The slant height of a cone is the distance from the center of the circle at the base of the cone to the apex of the cone. It is equal to the square root of the sum of the squared height of the cone and the squared radius of the cone. This can be expressed using the Pythagorean Theorem, where s = √h2 + r2.

A cone is a three-dimensional geometric shape with a circular base and a pointed apex. It is one of the two basic forms of a solid in geometry, the other one being a sphere.  

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Answer:

[tex]40 {ft}^{2} [/tex]

Step-by-step explanation:

You will get the shaded area by subtracting the smaller rectangle from the area of the larger restangle.

The larger rectangle's area would be

[tex]10 \: ft \: \times 8 \: ft = 80 \: {ft}^{2} \\ [/tex]

The smaller rectanlge's area is

[tex]5 \: ft \: \times \: 8ft \: = 40 \: {ft}^{2} [/tex]

The shaded region would be

[tex]80 - 40 = 40 {ft}^{2} [/tex]

Finding a line segment parallel to another segment and passing through a given point is true.

A line segment is a finite portion of a line that is bounded by two distinct points.

The statement is asking whether the following method is true or false for finding a line segment parallel to another segment and passing through a given point:

This method is called the "fold-and-copy" method, and it is a valid way to construct a segment parallel to another segment and passing through a given point. The reason this works is because when the paper is folded along the given point, the fold line is perpendicular to the original segment. When the segment is copied onto the paper on both sides of the fold, the resulting segments are also perpendicular to the fold line. Since two lines that are both perpendicular to the same line are parallel, the resulting segment is parallel to the original segment. The resulting segment also passes through the given point, since it was copied from the original segment which passes through the given point. Therefore, the statement is true.

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Answer:17/4

Step-by-step explanation:

Solution:

Your problem → 2((1/8)+ 4) - ((3/6)*8)

2((18)+4)-((36)⋅8)

=2⋅(1/8)+4-((36)⋅8)

=2⋅(1+4×8)/8-((36)⋅8)

=2⋅(1+32)/8-((36)⋅8)

=2⋅(33/8)-((36)⋅8)

=2⋅(33/8)-((36)⋅8)

=(33/4)-((36)⋅8)

=(33/4)-(36⋅8)

=(33/4)-(12⋅8)

=(33/4)-12⋅8

=(33/4)-4

=(33/4)-4

=(33-4×4)/4

=(33-16)/4

=17/4

=4.25 (in decimal)

Step-by-step explanation:

Answer:

hard question

Step-by-step explanation:

Happy Thanksgiving

Therefore , the solution of the given problem of triangle comes out to be triangle's length, rounded to two decimal places, is roughly 33.33 units.

A polygon is a hexagon if it has not less than one extra segment. It has a straightforward rectangle-shaped structure. Only edges A and B can differentiate something like this from an ordinary triangular shape. Despite the exact collinearity of the borders, Euclidean geometry only produces a part of the cube. Three edges and three angles make up a triangle.

Here,

Finding the length of each side and adding them together will allow us to determine the perimeter of the triangle whose points are E(12,-5), D(-1,-1), and F(7,-4).

The length of EF is given below using the distance formula:

=> √((7 - 12) ² + (4 - (- 5))² = √(25 + 81) = √(106) =  10.30

The ED is as follows:

=>  sqrt((-1 - 12)2 + (-1 - (-5))2) = sqrt(169 + 16) = sqrt(185), which is 13.60.

And DF is this long:

=>  √((7-1))² + (4-1))² = √(64+25) = √(89) = 9.43

As a result, the triangle's circumference is:

=>  10.30 + 13.60 + 9.43 ≈ 33.33

The triangle's length, rounded to two decimal places, is roughly 33.33 units.

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Answer: The odds in favor of a horse winning a race are given as 8:9, which means that the probability of the horse winning is 8/(8+9) = 8/17. Therefore, the probability of the horse winning the race is 8/17.

Step-by-step explanation:

The probability of the horse winning the race is 8/17.

The odds in favor of a horse winning a race is 8:9. To find: The probability of the horse winning the race. The odds are defined as: The odds in favor of an event = Number of ways an event can occur : Number of ways the event cannot occur.

Here, the odds in favor of a horse winning a race = 8 : 9. That means, the horse can win in 8 ways and lose in 9 ways. Therefore, the probability of the horse winning the race can be calculated as follows:

Probability of horse winning the race = Number of ways the horse can win / Total number of possible outcomes
= 8 / (8 + 9) [As total outcomes = winning outcomes + losing outcomes]
= 8 / 17
Therefore, the probability of the horse winning the race is 8/17.

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Answer:

The court for 10 and under is 18 feet shorter so the area of this court is ( 78 − 18 ) × 27 = 1620 (78-18)\times27=1620 (78−18)×27=1620 square feet. Therefore, the area of this court is 2106 − 1620 = 486 2106-1620=486 2106−1620=486 square feet less than that of the regular court.

Answer:

Scalene; right triangle

Step-by-step explanation:

See picture attached.

The solution of the given problem of expression comes out to be  9x³.

There is a need for calculations like variable multiplying, splitting, joining, and currently removing. If they were combined, it would read: A mathematical formula, some data, and an equation. Values, elements, and mathematical operations like additions, subtractions, mistakes, subdivisions, but also arithmetic formulas all make up a declaration of truth. It is possible to assess and analyse words and sentences.

Here,

The following is the provided sentence's algebraic expression:

=> 9x³

where x is a numerical symbol.

Therefore , the solution of the given problem of expression comes out to be  9x³.

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Complete question:

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

{Nine times the difference of 8 and a number.}

Nine times the difference of 8 and a number.