help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?

Help Pleaseeeeee!!!!!!!!!! How Many Unit Cubes Would It Take To Completely Fill The Prism With No Gaps

Answers

Answer 1

Answer:

72

Step-by-step explanation:

As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.

Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9

2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units

Solution : 72 unit cubes


Related Questions

Maurice needs 45 exam review books for the students in his math class. The local bookseller will sell him the books at $3 each. He can also purchase them over the internet for $2 each plus $35 for postage. How much does he save by accepting the better offer?

Answers

Answer: he will save $42.50

Step-by-step explanation:

45÷3=15

45÷2+35=57.50

57.50-15= $42.50

David’s family is driving from New York to Florida. They know the distance they will travel is about 1100 miles . If a map has a scale of 1 in = 80 mi about how far will the trip be on the map ?

Answers

You can do the proportion  

1 inch/ 80 miles =x inch/ 1100 miles

1100=80x

11oo divided by 80 equals 13.75

The trip would be about 13.75 inches on the map

Feel free to brainliest :)

Answer:

13.75 inches

Step-by-step explanation:

To find an estimated distance on the map, we can simply create a proportion.

Let X represent the unknown distance in inches on the map.

1100 miles / 80 miles = X inches / 1 inch

Now let's solve for X.

X inches = (1100 miles / 80 miles) * 1 inch

X inches = 13.75 inches

So the approximate travel distance on the map will be 13.75 inches.


16. Acme car rental agency charges a fee of $29 per day plus $0.15 per
mile. Travel Ease car rental agency charges $20 per day plus $0.25 per
mile. For a one-day trip, what mileage would make the two rates equal?

Answers

Answer:

90 miles

Step-by-step explanation:

0.15x + 29 = y ---- acme car agency

0.25 x + 20 = y ---- travel ease agency

0.15x + 29 = 0.25x + 20

9 = 0.1x

x = 90

The length of one side of a rhombus is 20 m.Find its perimeter.

Answers

Answer:

80 m

Step-by-step explanation:

Given :-

One side of rhombus = 20 m.

[ as one of the property of rhombus = all sides are equal ]

So, perimeter of rhombus = sum of all sides

= 20+20+20+20 = 80 m

...........................OR............................

Perimeter of rhombus = 4 × side

= 4 × 20 = 80 m

Hence, the perimeter of the rhombus is 80m.

Answer:

The perimeter is 80 meters

Step-by-step explanation:

The geometric characteristic of a rhombus is that it has 4 equal sides, then if one side measures 20 m, then each of the other sides measure also 20 m.Then its perimeter (addition of all the sides must render: 4 * 20 m = 80 m

An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane from the airport (round to the nearest mile)? (2 points) PLEASE HELP ASAP 30 POINTS!!!!!!! need full explanation and work

Answers

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

Write an absolute value equation to satisfy the given solution set shown on a number line.

Answers

Answer:

Step-by-step explanation:

|x-a|≤b

-b≤x-a≤b

add a

a-b≤x≤a+b

put a-b=-8

a+b=-4

add

2a=-12

a=-12/2=-6

-6+b=-4

b=-4+6=2

so |x+6|≤2

a man bought a car for 8500 GH cedis and he later sold it at for 9500. find his percentage gain

Answers

Answer:

11.7647059 % gain

Step-by-step explanation:

To find the gain, take the new amount and subtract the original amount

9500-8500 = 1000

Divide by the original amount

1000/8500=.117647059

Multiply by 100% to get in percent form

11.7647059 % gain

Emma changed £500 into rand before going on holiday to South Africa.
The rate of exchange at the time was £1 = 10.4 rand.
Emma spent 4000 rand on holiday. When she got home, she changed her leftover rand into pounds.
The exchange rate was now £1 = 9.8 rand. How much money did she get back in pounds?

Answers

Answer:

I'm sorry but I can give exact numbers but I would like to help work it out so...

Step-by-step explanation:

So overall she had £500 to start with

And £1 is equal to 10.4 rand

So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds

Hope this helps

If this seems incorrect please comment and I will change my answer thanks:)

If two of the ordered pairs was removed which two data points will cause the correlation to decrease the most? Select Two points

1) Data point A

2) Data point B

3) Data point C

4) Data point D

Answers

Answer:

1. Data point A

4. Data point D

Step-by-step explanation:

In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.

If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.

Therefore, removing data point A and point D would cause the correlation to decrease the most.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.

Answers

Q:(1+5•2+(1+3)2=27
0.25•43-1=15
4+8(1/4+2)=22

Answer:

(1+5*2+(1+3))2=27

0.25*43-1=15

4+8(1/4+2)=22

Step-by-step explanation:

I used a scientific calculator ;)

DUE NOW PLEASE HELP!!!

Factor completely x2 − 10x + 25.

(x − 5)(x − 5)
(x + 5)(x + 5)
(x + 5)(x − 5)
(x − 25)(x − 1)

Answers

Answer:

(x - 5)(x - 5)

Step-by-step explanation:

[tex] {x}^{2} - 10x + 25 \: is \: the \: expansion \\ of \: {(x - 5)}^{2} \\ {(x - 5)}^{2} = (x - 5)(x - 5)[/tex]

The complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

How to factor a quadratic expression?

A quadratic expression of the form ax² + bx + c is factored by using the mid-term factorization method, which suggests that b should be broken in such two components that their product = ac. After this, we can factorize using the grouping method.

How to solve the given question?

In the question, we are asked to factor the quadratic expression x² - 10x + 25 completely.

Comparing x² - 10x + 25 to ax² + bx + c, we get a = 1, b = -10, and c = 25.

To factor the expression we will use the mid-term factorization method, and try to break b in such two numbers whose product = ac.

Now, ac = 1 * 25 = 25. b = -10, which can be broken as -5, and -5.

Therefore, we can write the given expression as:

x² - 10x + 25

= x² - 5x - 5x + 25, mid-term factorization

= x(x - 5) -5(x - 5), grouping

= (x - 5)(x - 5), grouping.

Therefore, the complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

Learn more about mid-term factorization at

https://brainly.com/question/25829061

#SPJ2


What type of function is graphed in this figure?

Question 20 options:

A) 
Continuous non-linear

B) 
Discrete linear

C) 
Discrete non-linear

D) 
Continuous linear

Answers

Answer:

The correct option is;

B) Discrete linear

Step-by-step explanation:

The graph shows scatter plots of the data points and therefore the plot is a discrete plot of points. Also, we have, from the graph of the function, changes in input values are proportional with changes in output, such that the progression of the points are unidirectional.

Therefore, the graph is a discrete linear function.

ind the missing length. The triangles are similar. similar 16 A. 27 B. 24 C. 16 D. 21

Answers

You haven’t given any other information, but here’s how to go about it:

Find the ratio of one pair of corresponding sides of the two triangles. Use this ratio to find the missing side length.

For example if one triangle A has the side lengths 5, 10, and 13 and the other similar triangle B has known side lengths of 10, 20 and one of the side lengths is missing, then the ratio of the corresponding side lengths of B to A is 10:5 or 20:10 which is 2. So corresponding sides in triangle B are 2 times the length of those in A, which means the missing side length in B is 13*2= 26.

I hope this helps you understand how to solve your problem.

Could anyone help me with number 25 THANK YOU!!!

Answers

Answer:

ΔABC ~ ΔQPR by the Angle-Angle (AA) similarity theorem of two triangles

Step-by-step explanation:

The coordinates of the vertices are given as follows;

A = (1, 2), B =(9, 8), C = (1, 8)

P= (5, -3), Q = (-7, 6), R = (-7, -3)

The given dimensions of AB and PQ are 10, and 15 respectively

The, l lengths of the sides of triangles are found as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For segment BC, we have;

B =(9, 8), C = (1, 8)

(x₁, y₁) = (9, 8), (x₂, y₂) = (1, 8), substituting gives;

Length BC = 8

For length CA, C = (1, 8) A = (1, 2)

(x₁, y₁) = (1, 8)

(x₂, y₂) = (1, 2)

The length found by substituting the values for (x₁, y₁), (x₂, y₂) in the length equation gives; Length CA = 6

Given that length  CA² + BC² = 8² + 6² = 64 + 36 = 100 = BA², we have by Pythagoras theorem, we have ΔABC is a right triangle

Similarly, for ΔQPR, we have;

Length QR, Q = (-7, 6), R = (-7, -3) = 9

Length PR, P= (5, -3), R = (-7, -3) = 12

QR² + PR² = 9² + 12² = 225 = 15² = PQ²

∴ ΔQPR is a right triangle

By comparing the ratio of the sides, we have;

cos(θ) = PR/PQ = 12/15 = 4/5, θ = cos⁻¹(4/5) = 36.9°

∠RPQ = 36.9°

sin(θ) = QR/PQ = 9/15 = 3/5

Similarly in triangle ΔABC, we have;

cos(θ) = BC/AB = 8/10 = 4/5

∠CBA = 36.9°

Therefore, ∠CBA ≅ ∠RPQ = 36.9°

Also ∠PRQ ≅ ∠BCA = 90° (Angle opposite hypotenuse side of right triangle

Therefore, ΔABC and ΔQPR are similar triangles by the Angle-Angle (AA) similarity theorem of two triangles.

Paul, a dentist, determined that the number of cavities that develops in his patient's mouth each year varies inversely to the number of seconds spent brushing each night. His patient, Lori, had 4 cavities when brushing her teeth 30 seconds each night. Write the equation that relates the number of cavities, c, to the time, t, spent brushing. How many cavities would Paul expect Lori to have if she had brushed her teeth for 120 seconds each night?

Answers

Answer:

Step-by-step explanation:

Inverse variation is written as

[tex]y=\frac{k}{x}[/tex] which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then

[tex]c=\frac{k}{t}[/tex]

We are given the initial condition for which we need to solve for k:

c = 4 when t = 30:

[tex]4=\frac{k}{30}[/tex] so

k = 120.

Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:

[tex]c=\frac{120}{120}[/tex] (the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get

c = 1

Answer:

1 cavity

Step-by-step explanation:

The inverse equation is x*y=k, where x is the amount of cavities, y is the time brushed, and k is a constant number. In your scenario, x is c and y is t, but you can really use any name for the variable. In the first equation 23 have 4*30=120, which is just a constant number. now that we know our constant, we can plug is into our second equation, and we get c*120=120. By dividing both sides by 120, c=1. This means that Paul will have 1 cavity.

Find the missing the side of the triangle. A. 0 yd B.√30 yd C. 2√5. yd D. √17 yd

Answers

Answer:

x = 2√5 yd

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

a² = b² - c²

where a is the hypotenuse

From the question x is the hypotenuse

Substitute the values into the above formula

We have

[tex] {x}^{2} = ( { \sqrt{10} })^{2} + (\sqrt{10} )^{2} [/tex]

[tex] {x}^{2} = 10 + 10[/tex]

[tex] {x}^{2} = 20 [/tex]

Find the square root of both sides

We have the final answer as

x = 2√5 yd

Hope this helps you

Perform the operation. (3x^2+4)-(-5x^2+4x-1)

Answers

Answer:

8x^2-4x+5

Step-by-step explanation:

(3x^2+4)-(-5x^2+4x-1)

Let's start by removing the parentheses.

3x^2+4-(-5x^2)-4x+1

Now let's reorder the equation to make it easier to combine like terms.

3x^2+5x^2-4x+1+4

Combine like terms.

8x^2-4x+5

What decimal number does point A on the number line below represent? A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below negative 1.00. 0.25 −0.25 1.75 −1.75

Answers

Answer: 0.25

Step-by-step explanation:

To find :  decimal number represented by  point A on the given number line.

Given:  Vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4.

Point A is plotted at the third tick .

That means, Point A is marked at 1 over 4.

1 over 4 = [tex]\dfrac{1}{4}=0.25[/tex]    [divide 1 by 4]

Hence, the point A  represents 0.25 on the given number line.

Answer:

Step-by-step explanation:

Where is the picture

A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m

Answers

Answer:

b) 2.00 + 0.25m

Step-by-step explanation:

2.00per trip and $0.25 per mile = 2.00 + 0.25m

Answer:

see below

Step-by-step explanation:

a) 0.25m

This is the cost of the mileage alone

The cost is 25 cents per mile times m miles

b) 2.00 + 0.25m

This is the total cost of the trip

There is a 2 dollar flat rate fee plus the cost of the miles

2 dollars plus m miles at 25 cents per mile

what is the range and domian of y=(x-4)

Answers

The answer is 8 because 4 over 4 up for y

What is the domain of the function shown on the graph?

Answers

Answer: Choice D [tex]-\infty < x < \infty[/tex]

This is another way of saying "the set of all real numbers". This is because there are no restrictions we must place on x. The graph extends infinitely in both left and right directions as the arrows indicate. Any x value can be plugged in to get some y output.

In interval notation, the domain would be written as [tex](-\infty, \infty)[/tex]

what is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?

Answers

Answer:

-16, 0 real solutions. (Complex Roots)

Step-by-step explanation:

[tex]5x^2-2x=-1\\5x^2-2x+1\\A=5\\B=-2\\C=1\\(-b±√(b^2-4ac))/2a\\=\\=-2^2-4(5)(1)\\=4-20\\=-16[/tex]

To make a net from a container, you start by cutting one of the seams along the edge where the two sides meet. If you wanted to make a different net for the container, what would you do differently?

Answers

Answer:

I would not separate the same edges when making a second net. Also,  I would make sure that the result cannot be rotated or flipped so that it is the same  as the first.

Step-by-step explanation:

35.
What is the equation of the line that is
parallel to y = 4x + 3 and passes through
the point (2,6)?

HELP! answer if you can!​

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{y = 4x - 2}[/tex]

Given line with an equation of y = 4x + 3

Parallel lines contain equivalent slopes, so a parallel line to the given equation would contain a slope of m = 4.

Plug in the coordinates of the point given, along with the slope into the equation y = mx + b where:

m = slope

y = y-coordinate of point

x = x-coordinate of point

Solve for the 'b' value, or y-intercept:

y = mx + b

6 = 4(2) + b

6 = 8 + b

b = -2

Rewrite the equation as slope-intercept form:

y = 4x - 2

Answer:

When you see the word "parallel", you know the new line will have the same slope.

parallel to y = 4x + 3

So, the new line will have a slope of 4

"Indicate the region where y≥ 4x + 3

Plot y= 4x + 3 by finding the points that make it true. For example, (y = 0, x = 3/4), (y = 2, x = 2) and so on.

y = 4x + b

b is the y intercept ( point y when x = 0)

Insert new coefficients:

+2 = 4(0) + b

b = +2

y = 4 + 2

[tex] \: [/tex]

I NEED HELP PLEASE :(

Answers

Answer:

7/8

Step-by-step explanation:

power of 1/2 is the same as square root.

√(49/64) = 7/8 since 7/8 * 7/8 = 7*7/8*8 = 49/64

Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the
meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:

Answers

Answer:

The answer is given below

Step-by-step explanation:

The options are not given but I would list the inequalities needed to solve this problem.

As a result of increase in people to attend meeting, the number of sushi needed to be ordered is 100 pieces. Sofia has already ordered 24 pieces. If R is the number of additional rolls that Sofia orders.

The number of additional rolls that Sofia orders (R) must be greater than or equal to the difference between the number of Sushi needed to be ordered and the number of Sushi that has already being ordered. It is given by the inequality:

R ≥ 100 - 24

R ≥ 76

If each roll contains 12 pieces, the number of rolls needed (n) is given by:

n ≥ R/12

n ≥ 76/12

n ≥ 6.33

n ≥ 7

If each roll cost $8, the money needed to buy the sushi is given as:

Cost ≥ 8(7) ≥ $56

Solve for y
4x + 7y +5

Answers

To find the slope, m, of the line represented algebraically by the given linear equation in two variables: 4x = 7y + 5, first put the given equation in the slope-intercept form of the equation of a straight line, i.e., y = mx + b, as follows:

4x = 7y + 5 (Given)

4x - 5 = 7y + 5 - 5

4x - 5 = 7y + 0

4x - 5 = 7y

7y = 4x - 5 since equality is symmetric, i.e., if a = b, then b = a.

(7y)/7 = (4x - 5)/7

(7/7)y = (4x)/7 - 5/7

(1)y = (4/7)x- 5/7

y = (4/7)x - 5/7

From the last step above, the given equation is now in the slope-intercept form of the equation of a straight line: y = mx + b, i.e., y = (4/7)x - 5/7; therefore, we can now see by observation, that the slope of the line is m = 4/7 which means that the line has a positive slope, i.e., it's > 0, which means that if the line were to be constructed on a Cartesian coordinate system, it would slope upward from left to right and would intersect the y-axis at the point (0, -5/7).

Indi, Mark, and Tess each pick a slip of paper with a subtraction
expression written on it. The person holding the card with the
greatest value wins a prize. Who wins the prize?

Answers

Answer:

Tess wins the prize.

Step-by-step explanation:

[tex]\boxed{\text{Indi}: 2-3}[/tex]

[tex]\boxed{\text{Mark}: -7-(-4)}[/tex]

[tex]\boxed{\text{Tess}: -1-(-7)}[/tex]

The expression of Indi's card is 2 - 3 = -1

The expression of Mark's card is -7 - (-4) = -7+4= -3

The expression of Tess's card is -1 - (-7) = -1+7= 6

Given the linear correlation coefficient r and the sample size n​, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r=0.767, n=25

Answers

Answer:

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

Step-by-step explanation:

Given that:

the linear correlation coefficient r = 0.767

the sample size n = 25

the level of significance ∝ = 0.05

The degree of freedom is expressed with the formula df = n - 2

 df = 25 - 2

 df = 23

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

The linear correlation coefficient r = 0.767 is not in the region between the critical values of -0.396 and +0.396. We can therefore conclude that the linear correlation coefficient is significant.

Ahmad has some files.
He gave 3/5 of the files and had 14 files left.

How many files did he have at first?​

Answers

Answer:

The answer is 35

Step-by-step explanation:

Let the number of files he had be x

He gave 3/5 of the files

That's

3/5x

After that he still had 14 files left which means when we subtract 14 from the original files we should get 3/5 of the original files

So we subtract 14 from the original number of files

That's

x - 14

We equate the two statements

that's

[tex] \frac{3}{5} x = x - 14[/tex]

Multiply through by 5

[tex]5 \times \frac{3}{5} x = 5x - 70[/tex]

We have

3x = 5x - 70

3x - 5x = 70

-2x = - 70

Divide both sides by -2

We have the final answer as

x = 35

Therefore he had 35 files at first

Hope this helps you

Answer:

35 files

Step-by-step explanation:

gave=3/5

left=2/5 = 14f

had= 5/5

2/5=14

5/5

5×14÷2 = 35

Other Questions
Help with this please Calculate the molarity of bromide ions in 250. mL of a solution containing 25.9 g NaBr and 0.155 moles of HBr. What the relation of 1/c=1/c1+1/c2 hence find c Ohno Company specializes in manufacturing a unique model of bicycle helmet. The model is well accepted by consumers, and the company has enough orders to keep the factory production at 10,000 helmets per month (80% of its full capacity). Ohnos monthly manufacturing cost and other expense data are as follows. Rent on factory equipment $11,600 Insurance on factory building 2,500 Raw materials (plastics, polystyrene, etc.) 79,700 Utility costs for factory 900 Supplies for general office 300 Wages for assembly line workers 63,700 Depreciation on office equipment 800 Miscellaneous materials (glue, thread, etc.) 1,200 Factory managers salary 6,400 Property taxes on factory building 500 Advertising for helmets 14,500 Sales commissions 10,600 Depreciation on factory building 1,600Required:Prepare an answer sheet with the following column headings:Cost Item Direct Materials Direct Labor Manufacturing Overhead Period Costs What does food provide to organisms? homeostasis shelter energy air PLZ HELP ME PLZ PLZ PLZ 16. I don't want to go anywhere apart fromNairobi.A. insteadB. onlyC. besidesD. than If a speech has these main points: I. Isabel Baumfree was born into slavery in the state of New York during the 1790s. II. After undergoing a conversion experience and changing her name to Sojourner Truth, she began preaching during the 1840s. III. Over the next few decades, she became a celebrated speaker for various reform causes Read the text and the question. Then, choose the correct option to answer the questionpiola, amigos. Mi nombre es Joseph. El verano pasado visit Aconcagua, en Argentina, con unos amigos y alquilamos una casa de campo con dos habitaciones y jardin. La cabaa tenahternet, agua caliente y cocina. Caminbamos por Aconcagua todos los das. Comprbamos comida argentina cada semana y cocinbamos en la casa todas las noches.Este verano, mi familia y yo pasamos una semana en un hostal cerca en un centro turstico en Yosemite, en California (EE.UU.). El hostal tenla servicio de habitaciones, internet, cocinapequena y spa. Despus de caminar todo el dia, no cocinbamos, pedamos cena al servicio de habitaciones y hablbamos en el spa antes de ir a dormir.Based on the text, what is the main difference about their lodgings?They both have a town nearbyThey both have poolsThey both have spasThey both have unlimited internet Give at least one example of an Autocracy What the correct answer Identifying the Property of EqualityQuickCheckIdentify the correct property of equality to solve each equation.3+x= 27X/6 = 5 Carter draws one side of equilateral PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible coordinate of vertex R?A. (-3, -6)B. (0, 8)C. (1, 8.9)D. (1, -8.9) Helen has an old laser printer that can print 900 pages in 1.5 hours. If the speed of printing remains constant, howlong will it take her to print a book of 600 pages? Express your answer in hours. What is one main goal of juvenile justice systems in the United States?A. To prevent young offenders from appealing their court verdictsB. To rehabilitate young offenders instead of sending them to prisonC. To make punishments for young offenders match those for adultsD. To keep young people from being sued in civil courts by adults Which set below is the domain of{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}?(AD {-3, 0, 4, 5, -2} (CD, {2,-1,4}(3) -3,4,5,-2) (D) {2,-1,0,4} can someone help on this question Entrepreneurial opportunities Group of answer choices are conditions in which new goods or services can satisfy a need in the market. are conditions contrary to a firm"s established strategy and segments served. present risk to the firm and should be avoided. present the potential for a firm to leverage existing products or services into new markets. henry incorrectly said the rate 1/5 pound/ 1/20 quart can be written as the unit rate 1/100 pound per quart. What is the correct unit rate? What error did Henry likely make? Unless i had a good excuse, I ____________ my way out of this predicament Find the measure of FG. A. 9 B. 10 C. 11 D. 8