Calculate the circumference of the following circles correct to one decimal place

Answer:200 club members

Step-by-step explanation:

Final answer:

To find the total club members when 164 members represent 82%, divide 164 by 0.82 to get 200 members in total.

Explanation:

To determine the total number of club members based on the percentage that prefers a dolphin mascot, we can set up a proportion. The problem tells us that 164 members represent 82% of the total number of club members. Using this information, we can set up the equation:

164 = 0.82 × Total club members

To find the total number of club members, we divide the number of members who want a dolphin by the percentage they represent as a decimal:

Total club members = 164 ÷ 0.82

By performing the division, we get:

Total club members = 200

Therefore, the total number of club members is 200.

Answer:

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

[tex]y=a(x-h)^2+k[/tex]

(h, k) - verex

[tex]h=\dfrac{-b}{2a},\ k=f(h)[/tex]

We have:

[tex]y=(x+5)(x+4)[/tex]            use FOIL (a + b)(c + d) = ac + ad + bc + bd

[tex]y=(x)(x)+(x)(4)+(5)(x)+(5)(4)=x^2+4x+5x+20=x^2+9x+20[/tex]

a = 1, b = 9, c = 20

[tex]h=\dfrac{-9}{2(1)}=\dfrac{-9}{2}=-\dfrac{9}{2}[/tex]

For k, put the value of h to the equation y = (x + 5)(x + 4):

[tex]k=\left(-\dfrac{9}{2}+5\right)\left(-\dfrac{9}{2}+4\right)\\\\k=\left(-\dfrac{9}{2}+\dfrac{10}{2}\right)\left(-\dfrac{9}{2}+\dfrac{8}{2}\right)\\\\k=\left(\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=-\dfrac{1}{4}[/tex]

Finally:

[tex]y=1\bigg(x-\left(-\dfrac{9}{2}\right)\bigg)^2-\dfrac{1}{4}\\\\y=\left(x+\dfrac{9}{2}\right)^2-\dfrac{1}{4}[/tex]

The quadratic function y = (x + 5)(x + 4) in vertex form is y = (x + 9/2)^2 - 41/4, and its vertex is at (-9/2, -41/4).

Expand the given expression:

y = x^2 + 4x + 5x + 20

y = x^2 + 9x + 20

Factor out the coefficient of x^2 from the x^2 and x terms:

y = 1(x^2 + 9x) + 20

To complete the square, take half of the coefficient of x (which is 9) and square it. Add and subtract this value inside the parentheses:

y = 1(x^2 + 9x + (9/2)^2 - (9/2)^2) + 20

Factor the perfect square trinomial inside the parentheses:

y = 1((x + 9/2)^2 - (9/2)^2) + 20

Simplify the expression:

y = (x + 9/2)^2 - 81/4 + 20

Combine the constants:

y = (x + 9/2)^2 - 41/4

So, the quadratic function y = (x + 5)(x + 4) in vertex form is y = (x + 9/2)^2 - 41/4, and the vertex of the parabola is (-9/2, -41/4).

To learn more about quadratic function

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2.675 divided by 0.5 = 5.35.

Hope this is helpful.

Answer:

Part. B Is The associtation is the more they exercise the higher their test scores.

Hope that helps! I'll answer A. too

Step-by-step explanation:

➷ The group of points labelled P are called a cluster. Point T is called an outlier. The reason for the outlier could be that this person is not good at tests.

B) The more hours of exercise performed, the higher the test scores achieved.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

1.74 pounds

Step-by-step explanation:

2.65 + 1.85 + 2.46 = 6.96/4 = 1.74lbs.

Answer:

1.74 lb/package

Step-by-step explanation:

Add up the weights of the 3 packages of ground beef and then divide that sum by 4 (packages):

2.65 lb + 1.85 lb + 2.46 lb         6.96 lb

-------------------------------------- = ------------------------ = 1.74 lb/package

              4 packages                 4 packages

A slice of bread weighs approximately 1 ounce.

Answer:

The new amount is $86.10

Step-by-step explanation:

First we find the increase

82*5%

82 *.05

4.1

Next we add the increase to the original amount

82+4.1

86.10

The new amount is $86.10

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to find what 5% of 82 is.

82*5%=4.1

Now, you need to add 4.1 to 82:

82+4.1=    $86.10 is the new amount.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ TROLLER (don't worry, I didn't troll you)

Answer:

A) y=2x−1

B) y=2x+6

The equations reduce to:

-1 = 6

Which is NOT true so those equations have NO solution.

Step-by-step explanation:

Answer:

25.82 please mark brainliest.

Step-by-step explanation:

Answer:

25.82

Step-by-step explanation:

Hundreths go two decimals to the left from the point. 25.823 is rounded to 25.820 or 25.82

First we must simplify the left side.

-20x² - 30x = 21

We need to move 21 to the left side of the problem, to do that we need to subtract both sides:

-20² - 30x - 21 = 0

Factor -1 out of -20x² - 30x - 21.

So then we have:

- (20x² + 30x + 21) = 0

Our set is: 20x² + 30x + 21 equal to 0 now we must solve for x.

To do that we need to divide.

x = -15 = √195

-----------------------

     20

alright so what do you have to be is calculate 17 / 30one to do that multiply it by 120

Answer: 68

Step-by-step explanation: in this equation you would multiply 120 by 17 and you would get 2040. Then divide that by 30 and you get 68

Answer:

A

Step-by-step explanation:

The inverse of a statement is the negation of both the hypothesis and conclusion. This means that both parts of the statement gets a not.

If the perimeter of a square is NOT 20cm, then its area is NOT 25cm2.

Answer:

The surface area of the triangular prism is [tex]420\ m^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to

[tex]SA=2B+PL[/tex]

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the triangular prism

Find the area of the base B

[tex]B=\frac{1}{2}(16)(6)=48\ m^{2}[/tex]

Find the perimeter of the base P

[tex]P=16+10+10=36\ m[/tex]

we have

[tex]L=9\ m[/tex]

substitute the values

[tex]SA=2(48)+(36)*9=420\ m^{2}[/tex]

Answer:   d) 4

Step-by-step explanation:

The x-intercept is when y = 0

[tex]y=\dfrac{x-4}{x^2-4}\\\\\\\text{Set y equal to zero:}\\0=\dfrac{x-4}{x^2-4}\\\\\\\text{Cross multiply:}\\0=x-4\\\\\\\text{Solve for x:}\\4=x[/tex]

Answer:

it is c because i learned it in 9th

Step-by-step explanation:

Answer:

it is a a

Step-by-step explanation:

Answer:

c < 32

Step-by-step explanation:

1 / 4 c < 8

0.25 c < 8

8 / 0.25 = 32

c < 32

Answer:

[tex]c \:<\:32[/tex]

Step-by-step explanation:

The given inequality is

[tex]\frac{1}{4}c \:<\:8[/tex]

Multiply both sides of the inequality by the reciprocal of [tex]\frac{1}{4}[/tex] which is equal to 4.

This will give us;

[tex]4\times \frac{1}{4}c \:<\:8\times 4[/tex]

Simplify to obtain;

[tex]c \:<\:32[/tex]

Answer:

[tex]\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}[/tex]

Step-by-step explanation:

∵∛x = (x)^1/3

∴ [tex]\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}[/tex]

So you can replace the radicals by fractional exponents

Answer:

The required expression is: [tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex].

Step-by-step explanation:

Consider the provided expression.

[tex]\sqrt[3]{a^2+b^2}[/tex]

Now use the property: [tex]\sqrt[n]{x+y}=(x+y)^{\frac{1}{n}}[/tex]

By using the above property the provided expression can be written as:

[tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex]

Therefore, the required expression is: [tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex].

Answer:

The diameter of the plate is 15 centimeters

Step-by-step explanation:

* Lets explain how to solve the problem

- All circles are similar

- In the similar circles the ratio between their circumferences is equal

 to the ratio between their diameters

* Lets solve the problem

∵ The circumference of a frying pan is 78.5 centimeters

∵ The circumference of a plate is 47.1 centimeters

∵ The frying pan and the plate are shaped circles

∴ The frying pan and the plate are similar

∴ C 1/C 2 = d 1/d 2 , where C 1 is the circumference of the frying pan ,

   C 2 is the circumference of the plate , d 1 is the diameter of the

   frying pan and d 2 is the diameter of the plate

∵ The diameter of the frying pan is 25 centimeters

∴ d 1 = 25

∵ C 1 = 78.5

∵ C 2 = 47.1

∵ C 1/C 2 = d 1/d 2

∴ 78.5/47.1 = 25/d 2

- By using cross multiplication

∴ 78.5(d 2) = (47.1)(25)

∴ 78.5(d 2) = 1177.5

- Divide both sides by 78.5

∴ d 2 = 15

∵ d 2 is the diameter of the plate

∴ The diameter of the plate is 15 centimeters

Answer:

1.25T+ 5 + TA ( Total Amount)

Step-by-step explanation:

Answer:

$3.25 per gallon

Step-by-step explanation:

She had $30 and now has $4, so she spent $30- $4 = $26

With $24 she bought 8 gallons of gas.  

$26/(8 gallons) = $3.25/(1 gallon)      [ divide 26 by 8 to get the unit rate]

She spent $3.25 per gallon

The answer is 3.25 per gallon. I hope this helps!

Answer:

2/6 units

Step-by-step explanation:

The experimental probability of rolling a 1 will likely be less than the theoretical probability of rolling a 1, but not always certainly.

Theoretical probability: This is the probability of an event happening based on pure chance or equally likely outcomes. In the case of rolling a fair number cube, the theoretical probability of rolling a 1 is 1/6, as there is 1 favorable outcome (rolling a 1) out of 6 total possible outcomes.

Experimental probability: This is the probability of an event happening based on actual observations or experiments. In your scenario, the experimental probability would be calculated by dividing the number of times you roll a 1 by the total number of rolls (60).

While the theoretical probability remains constant at 1/6, the experimental probability can fluctuate due to random chance. However, as the number of rolls increases, the experimental probability tends to get closer to the theoretical probability. This is because the Law of Large Numbers states that as the number of random trials increases, the average of the results will approach the expected value or theoretical probability.

Therefore, while you are more likely to get an experimental probability lower than the theoretical probability due to random fluctuations, with enough rolls, the experimental probability will eventually get closer to the theoretical value of 1/6.

Here's an analogy: Imagine flipping a fair coin 10 times. You might get 7 heads and 3 tails, resulting in an experimental probability of heads being 7/10, which is higher than the theoretical probability of 1/2. However, if you flip the coin 1000 times, you're more likely to get closer to the theoretical probability of 1/2 for heads.

Remember, the key takeaway is that the theoretical probability represents the long-term average, while the experimental probability can vary due to random fluctuations in the short term.

Answer:

Step-by-step explanation:

Divide $126.5/23 hours to get the rate of pay, which is $5.5 per hour.

Answer:

5.5

Step-by-step explanation:

you do 126.5/23. this is because rate of pay x hours worked=earnings, so you flip that to get rate of pay =earnings/hours, so you just plug it in to get the first equation, 126.5/23.

Answer:

24 in^2

Step-by-step explanation:

Area of triangle = 1/2bh

6 x 8 = 48

48/2 = 24

Answer:

-9.5

Step-by-step explanation:

To solve for z, use inverse operations by multiplying both sides by 2.

-4.75 = z/2

-9.5 = z

To solve the equation -4.75 = z/2, multiply both sides by 2 to isolate z, which gives you the solution z = -9.5.

To solve for z in the equation -4.75 = z/2, you need to isolate z on one side of the equation. This can be achieved by multiplying both sides of the equation by 2 (the reciprocal of 1/2, which is the current coefficient of z) to cancel out the division.

Here's the calculation step by step:

Therefore, the solution to the equation is z = -9.5.

The correct option is (D) x-7 + 2

let the quantity be x

Quantity minus 7 can be written as

x-7

Now

2 more means adding 2

So the final expression can be written as

(x-7) + 2

Answer:

The correct answer option is D. (x - 7) + 2.

Step-by-step explanation:

We are to determine whether which of the given options best describe the English expression:

'two more than the quantity of a number minus seven'

We can break this expression into smaller chunks to make it easier to translate.

1. two more than ---> +2

2. the quantity of a number ---> suppose the number to be 'x'

3. number minus 7 ---> (x - 7)

Combining these, we get (x - 7) + 2 so the correct answer option is D.

Answer:

(6,-1)

Step-by-step explanation:

The ordered pair on the line will have the same slope. To find this, substitute the original point (-2,5) and each listed point into the slope formula. Simplify to  see if the slope is the same.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{-1 - 5}{6 --2} = \frac{-6}{8} = -\frac{3}{4}[/tex]

The pair (2,8) gives a slope of 3/4.

The pair (-5,1) gives a slope of 4/3.

The pair (1,1) gives a slope of -4/3.

The solution is (6,-1).

Answer: Ramon

Step-by-step explanation:

because if you think about it ust of tooken 4 fo skyler to at least read 100 pages.

Ramon was faster.

A unit rate means a rate for one of something.

Given that, A hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours.

To find who is faster, we will find unit rate of each,

Skyler read 145 pages in 5 hours,

Therefore,

In 1 hour, he will read = 145 / 5 = 29

Therefore, in 1 hour he read 29 pages.

Ramon read 124 pages in 4 hours,

In 1 hour, he will read = 124 / 4 = 31

Therefore, in 1 hour he read 31 pages.

Since, Skyler read less pages than Ramon in one hour.

Hence, Ramon was faster.

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Answer:

$96

Step-by-step explanation:

There are a couple steps while finding the scale factor so stick with me. First, the main point is to find the similar figure. You need to find the corresponding side. Now, you write the ratio of the side you got. Begin with the small one, you will get a number below one. If you start with a greater number you will get a greater than the number one.