solve: 5 (x+2) +2x
make sure to show your work

One thing that was not an impact of the Crusades was B. End of the Roman Empire.

The Crusades were a series of religious wars fought between Christians and Muslims in the 11th, 12th, and 13th centuries. The main objective of the Crusades was to recapture the Holy Land, which was considered the birthplace of Christianity, from Muslim rule.

The Crusades had a significant impact on the medieval world, but the end of the Roman Empire was not one of them. The Roman Empire ended several centuries before the start of the Crusades in the 11th century.

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A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

Area of figure is 51 cm²

Step-by-step explanation:

We need to find the area of the figure given.

The figure is basically a combination of 3 rectangles.

Adding area of all the rectangles will give the area of the figure.

The formula used is: \(Area\:of\:rectangle=Length\times Width\)

Area of rectangle 1:

Length = 7 cm

Width = 3 cm

The area will be:

\(Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2\)

The area of rectangle 1 is 21 cm²

Area of rectangle 2

Length will be: 7-4 = 3cm

Width will be: 3 cm

The area will be:

\(Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=3\times 3\\Area\:of\:rectangle=9 \:cm^2\)

The area of rectangle 2 is 9 cm²

Area of rectangle 3

Length will be: 7cm

Width will be: 3 cm

The area will be:

\(Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2\)

The area of rectangle 3 is 21 cm²

The total area of the figure will be:

Area of figure = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of figure = 21+9+21

Area of figure = 51 cm²

So, Area of figure is 51 cm²

Answer:

It's 8 units to the left and 5 units up.

Step-by-step explanation:

You know this because the bottom right point of the triangle starts out at (6,-6) and ends up at (-2,-1), so the x value decreased by 8 and the y value increased by 5.

Answer:

A translation by 8 units to the left and 5 units up.

Step-by-step explanation:

A = (3,-4)

B = (5, -2)

C = (6,-6)

A' = (-5,1)

B' = (-3,3)

C' = (-2,-1)

(3,-4) --> (-5,1)  = -8, +5

(5,-2) --> (-3,3) =   -8, +5

(6,-6) --> (-2,-1) = -8, +5

Constant of -8 in x-values.

Constant of +5 in y-values.

8 left.

5 up.

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

A) 1/n²

B) (n - 1)/n²

C) Probability = (1 - (1/n))/2

Step-by-step explanation:

A) We are told that a ticket is drawn at random from the box. Thereafter, the ticket is replaced in the box and a second ticket is now drawn at random.

This means the events of the first and second tickets are independent.

Probability of first ticket = 1/n

Probability of 2nd ticket = 1/n

Probability of both together = 1/n × 1/n = 1/n²

B) The number on the 2 tickets are consecutive integers.

This means number of cases will be (n - 1)

From a above, we see that for the two tickets the denominator is n²

Thus, in this case, the probability that both that the numbers on the two tickets are consecutive integers = (n - 1)/n²

C) if we assume that the first ticket is b, then the number of correct selections for the 2nd ticket is (n - b).

Thus, number of correct selections is;

(n_Σ_k=1) (n - b) = n² - (n(n - 1)/2)

Simplifying this gives;

(2n² - n² - n)/2

>> ½(n² - n)

There are n² selections in total, thus let's factorize n² out and then the remaining part in bracket will be the probability. Thus;

>> n²(1 - (1/n))/2

Probability = (1 - (1/n))/2

In terms of measures of spread, Group B has a wider IQR than Group A

The comparative dot plots show the points scored in a game by two groups, Group A and Group B. Both groups have a similar spread, with most of the dots clustered around the middle of the distribution. However, there are some differences in the tails of the distribution that affect the measures of spread.

For Group A, the lowest score is 41, and the highest score is 50. The interquartile range (IQR), which is the range containing 50% of the scores, is approximately from 45 to 48. The range, which is the difference between the highest and lowest scores, is 9.

For Group B, the lowest score is 41, and the highest score is 50. The interquartile range (IQR) is approximately from 43 to 49. The range is also 9.

This indicates that Group B has a more variable distribution of scores within the middle 50% of the distribution, indicating a more variable distribution of scores within the middle.

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Answer:

C. y=1/2 x + 5

Step-by-step explanation:

In the attached file

The number of white balls is equally likely to be any number between 1 and n − 1.

This problem can be solved by considering the number of ways to get a certain number of white balls in the bin. Since each ball can either be white or black, there are 2^n possible sequences of n balls in the bin.

Now consider the number of ways to get exactly k white balls in the bin. It can be done in the following way:

Choose k white balls out of n balls, which can be done in C(n, k) ways, and then arrange the k white balls and n-k black balls in (n-k + k)!/(n-k)!k! ways.

Therefore, the number of ways to get exactly k white balls in the bin is C(n, k)(n-k + k)!/(n-k)!k! = C(n, k)(n!)/(n-k)!k!.

Since each sequence of balls is equally likely, it follows that the number of white balls is equally likely to be any number between 1 and n - 1.

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--The given question is incomplete; the complete question is

"Consider the following balls-and-bin game. We start with one black ball and one white ball in a bin. We repeatedly do the following: choose one ball from the bin uniformly at random, and then put the ball back in the bin with another ball of the same colour. We repeat until there are n balls in the bin. Show that the number of white balls is equally likely to be any number between 1 and n − 1."--

It’s the y-axis for the first answer and the other one it’s a reflection of JKL what line of reflection maps point L to point L at (-2,3).

When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed-line. The fixed-line is called the line of reflection.

RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

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Answer:

-1 is not in the domain of (f o g)(x)

Step-by-step explanation:

f(x) = sqrt(x - 9)

g(x) = -6x - 3

(f o g)(x) = f(g(x)) = sqrt(g(x) - 9)

(f o g)(x) = sqrt(-6x - 3 - 9)

(f o g)(x) = sqrt(-6x - 12)

Let x = -1:

(f o g)(-1) = sqrt(-6(-1) - 12)

(f o g)(-1) = sqrt(6 - 12)

(f o g)(-1) = sqrt(-6)

Since sqrt(-6) is not a real number, -1 is not in the domain of (f o g)(x).

Answer:

B

Step-by-step explanation:

6x -8y = - 16y

6x = -8y

8y = 17x + 4

-8y = -17x - 4

6x = -17x - 4

23x = -4

x = -4/23

Step-by-step explanation:

simple this is a right angle triangle, 90⁰, the red box inside the triangle indicates 90⁰

cos 90=7.4/c

c cos 90 = 7.4

c= 7.4/cos 90

c = 0

Answer:

1.77 is the answer.

hope u got it

Answer:

u=-8

Step-by-step explanation:

-4u+3=4u-5

-4u-4u=-5-3

*Divide U by  four and we are left with U. Add -5+-3 = -8

u=-8

Answer:

Radioactive half-life An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q ( t ) = 100 e − 0.02828 t where t is in years.

Step-by-step explanation:

The maximum number of poles required to drive the load is 8.

full load speed = 120*f/p

850 = 120*60/p

p = 120*60/850

p = 8.47

since no. of poles are even so

p = 8

if number pole p = 8

synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM

SLIP = (Ns - N)/Ns

s = (900-850)/900

s = 0.056

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Answer:

A. 5

B. -5, 5

C. 5, 5

Step-by-step explanation:

A. |-6+(-1)| = 5

B. -6-(-1)=-6+1=-5

-1-(-6)=-1+6=5

C. |-6-(-1)|=|-6+1|=5

|-1-(-6)|=|-1+6|=5

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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The given expression is,

Simplify the above expression.

Thus, the simplest form of 3(2x - 5) + 15 is 6x.

Answer:

https://rr.noordstar.me/83819a0f

Answer: B

Step-by-step explanation:

I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:

A - If it's skewed Mean wouldn't be used

C - If it's Symmetric IQR wouldn't be used

D - If it's skewed Standard Deviation wouldn't be used

Answer:

215

Step-by-step explanation:

T = 55 + 8m

This is your equation.  You want to find out how many gallons of water will be in the tank after 20 minutes.  According to the description, T is the amount of water in the tank and m is the time that is passed in minutes.  You have to plug in the value given into the variable that matches.

For this problem, the value goes into the variable m.  Solve for T.

T = 55 + 8(20)

T = 55 + 160

T = 215

After 20 minutes, there will be 215 gallons in the tank.

Answer:

215 gallons

Step-by-step explanation:

The equation given is:

T= 55 + 8m

where T is the amount of water in a tank and m is the number of minutes. We want to find out the amount of water in the tank after 20 minutes. Since m is our variable for minutes, substitute 20 in for m.  

T=55+8m

m=20

T=55+8(20)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, multiply 8 and 20.

T=55+160

Then, add 55 and 160

T=215

T=215 gallons

After 20 minutes, there will be 215 gallons in the tank.

Answer:

Mary has two friends over, she wants to split half of a cake she has left over into thirds for her and her friends. 1/2 ÷ 3 is 1/6. This means that each friend will get 1/6 of the full cake.

Step-by-step explanation:

I make up stories and know how to divide fractions. To solve a division problem like this you want to take the 3 and turn it into 3/1. then, flip the 1/2 around to it is 2/1. Then, multiply the two together.

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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9514 1404 393

Answer:

  53

Step-by-step explanation:

The area of the pool is ...

  A = πr²

  A = 3.14×(10 ft)² = 314 ft²

The number of bags of sand required is ...

  (314 ft²)/(6 ft²/bag) ≈ 52.33 bags

53 bags of sand are needed.

Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.

From the calculation, the growth rate is 0.88.

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

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Answer: A,E or F.

Step-by-step explanation: That's the only ones that have X's and then x is 0