100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Based on the information we can infer that the central angle would be 72°, the apothem would be: 13.76m and the area would be: 688m²

To find the central angle of the pentagon we must divide 360° into the number of sides that the polygon has, in this case 5 equal sides.

To find the apothem of the pentagon we must perform the following mathematical operation:

To find the area of the pentagon we must multiply the perimeter by the apothem and divide the result in two as shown below:

area = (100 x 13.76m) / 2

area = 688m²

Learn more about pentagon in: https://brainly.com/question/17054992

#SPJ1

Answer:

4.5 and 6

Step-by-step explanation:

Answer:

x 2 4 6 7   9

y 1 2 3 3.5 4.5

Step-by-step explanation:

can I have brainliest

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

For more such questions on Purchased:

https://brainly.com/question/28717901

#SPJ8

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

Learn more about similarity here:

https://brainly.com/question/26451866

#SPJ1

Answer:

71.75

Step-by-step explanation:

Base x height (hope this helped)

The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.

Starting with the given inequality:

-3(x - 4) > 6(x - 1)

First, distribute -3 and 6 to the terms inside the parentheses:

-3x + 12 > 6x - 6

Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:

-3x - 6x > -6 - 12

-9x > -18

To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x < (-18) / (-9)

x < 2

Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ8

Answer:

10,800

Step-by-step explanation:

9,000+ 20%= 10,800

Answer:

2x + 10 + 2y

Step-by-step explanation:

6x + 3 – 4x + 2y + 7

(6x - 4x) = 2x

2x + 3 +2y + 7

(3 + 7) = 10

Answer: 2x + 10 + 2y

It will take 5.189 hours to get doubled the size of Sample.

A relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given:

Growth rate = 5.8%

The continuous exponential growth model for populations is given by:

P(t)= \(P_0 e^{rt\)

So, r= 5.8%

r = 0.058

Now, the time taken to double the sample then P(t) = 2P(0).

So, P(t)= \(P_0 e^{0.058t\)

2P(0) = \(P_0 e^{0.058t\)

\(e^{0.058t\) = 2

Taking log on both side

log \(e^{0.058t\) = log 2

0.058 t = 0.301

t= 0.301/ 0.058

t = 5.189

Learn more about exponential Function here:

https://brainly.com/question/23064497

#SPJ1

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

More can be learned about the mean of a data-set at brainly.com/question/1156334

#SPJ1

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

learn more on area here: https://brainly.com/question/9720037

#SPJ1

Answer: 4 ways to pick a king, 13 ways to pick a heart, and 4 ways to pick a five. Given the cards are returned to the deck, there are no special cases such as picking the King of Hearts and/or the Five of Hearts that affect the count. 208 ways.

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

For more questions on prime number

https://brainly.com/question/145452

#SPJ8

Answer:

the difference represents translations

Step-by-step explanation:

if you're talking about edmentum geometry unit 8, then the difference should be in how far apart each point is

The question is in relation to an exercise of creating two circles with centers at two different points, point A, and point B, with coordinate (x₁, y₁), and (x₂, y₂), and and different radii, r₁, and r₂ with all values being integers

The selected points are A(2, 3), and B(23, 8)

The difference represents a translation of 5 units Up

Please see attached drawing created with MS Excel

Method for arriving at answer

Question parts of the question that may be missing are;

Part A; Create two circles; First circle with center A at point (x₁, y₁), and radius r₁, second circle, with center B, at point with coordinate (x₂, y₂), and radius r₂

Where;

x₁, y₁, x₂, y₂, r₁, r₂ are integers

(x₁, y₁) ≠ (x₂, y₂)

r₁ ≠ r₂

Part B asks what must exist for circle A and circle B to be similar

What must exist is that the two circles must be real circles, because all circles are similar

Part C asks for the difference between the x-coordinates of point A and point B

Given that the point A is chosen as (2, 3), and point B, is chosen as (23, 8), the difference between the x-coordinates between the point A and point B is 23 - 2 = 21

Part D asks in terms of transformations what the difference represents

The difference represents a transformation from point A to point B of 21 units to the right

Part E asks for the y-coordinate difference between the points

The y-coordinate difference is 8 - 3 = 5

Therefore;

Part F In terms of transformations reflections, rotations, and translations, the difference represents a translation of 5 units up

Learn more about transformations here;

https://brainly.com/question/16702596

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = \(2\dfrac{1}{2}=2.5\) years

To find:

The principal value.

Solution:

Formula for amount is

\(A=P\left(1+\dfrac{r}{100}\right)^t\)

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

\(34476=P\left(1+\dfrac{4}{100}\right)^{2.5}\)

\(34476=P\left(1+0.04\right)^{2.5}\)

\(34476=P\left(1.04\right)^{2.5}\)

\(\dfrac{34476}{\left(1.04\right)^{2.5}}=P\)

Now,

\(P=31256.0090\)

\(P\approx 31256\)

Therefore, the value of sum or principal value is Rs.31256.

Answer:

Step-by-step explanation:

Let x represent the rate at which the ticket is sold and let y represent the number of tickets sold at that rate.

When x = 4, y = 800

This means that the income from gate takings at this rate is 4 × 800 = $3200

For each 1 dollar increase in the gate fee,management expects 100 fewer customers to buy tickets. It means that the amount earned would be (x + 1)(y - 100)

For the amount to be $3500, it means that

(x + 1)(800 - 100) = 3500

700(x + 1) = 3500

x + 1 = 3500/700 = 5

Therefore, management should charge $5 per person for gate fee so that it collects 3500 dollars from gate takings.

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

To know more about the function of a graph, visit:

https://brainly.com/question/32687137

123456Step-by-step explanation:

Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Recall:

Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:

Therefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Learn more about the midsegment theorem of a triangle on:

https://brainly.com/question/7423948

Answer:

as a mixed number: 13 7/11  as a percentage 1363.64%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Area of the grass in the circular lawn is 1250 square feet

Step-by-step explanation:

Lawn is in the shape of circle having radius = 20 feet

Area of the circular lawn will be represented by the formula,

Area = πr² [ Here 'r' = Radius of the circular lawn]

       = (3.14)(20)²

       = 3.14 × 400

       = 1250 square feet

Therefore, area of the grass in the circular lawn will be 1250 square feet

Answer:

1250 square feet

Step-by-step explanation:

A = pie × radius^2

Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

Hansen's cab moves barely 500 meters in 10 mins

if he walks at a speed of 5km/hr, his speed in meters/min is equivalent to

So his equivalent speed = 83 1/3 meter/min

Therefore it will take him

It will take Hansen 6 minutes to walk 500m at a speed of 5km/hr

so will he faster definately yes

Answer:

The answer is 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of all the internal angles of a convex octagon must equal 1080.

You'll want to add all the angles together and then solve.

\((x+55)+(3x+20)+4x+(4x-10)+(6x-55)+(3x+52)+3x+(2x+30) = 1080\)

Just combine like terms and then solve for x.