solve for r 5(r-10)= -51

Answers

Answer 1

Answer:

r= -1/5

Step-by-step explanation:

Step 1: Remove the parentheses (5r-10= -51)

Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)

Step 3: Calculate the sum of -51 +50 (5r = -1)

Last Step: Divide both sides by the equation by 5 (r = -1/5)

Answer 2

The solution for r in the equation is -1/5

The equation given is 5(r-10)= -51

To solve this question, use the distributive property. The distribute property entails expanding the terms in the bracket. This means multiply the terms in the bracket by 5

5(r - 10)

= 5 x (r - 10)

= 5r - 50

The equation then becomes : 5r - 50 = -51

The second step is to combine similar terms. This would be done by making use of the additive property of equalities: 50 would be added to both sides of the equation

5r = -51 + 50

5r = -1

The third step is to divide both sides of the equation by 5

(5r / 5) = (-1 /5)

r = -1/5

A similar question was solved here : https://brainly.com/question/17224218


Related Questions

Consider the perfect square trinomial identity:
a2 + 2ab + b2 = (a + b)2.
For the polynomial x2 + 10x + 25,
and b =
a =

Answers

Answer:

a = x

b = 5

Step-by-step explanation:

for the polynomial x² + 10x + 25, b = 5 and a = x.

In the polynomial x² + 10x + 25, we can observe that the first term, x², is the square of x, and the last term, 25, is the square of 5. This suggests that the polynomial follows the perfect square trinomial identity.

The middle term, 10x, can be rewritten as 2ab, where a represents x and b represents a term that when squared equals the last term, 25.

In this case, b = 5, because 5² = 25.

To find a, we can take the square root of the first term, x². The square root of x² is x, so a = x.

Therefore, for the polynomial x² + 10x + 25, b = 5 and a = x.

Learn more about trinomial identity here

https://brainly.com/question/17033454

#SPJ2

6=m/8 whats does m equal?

Answers

Answer:

m=48

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

m = 48

▹ Step-by-Step Explanation

Rewrite:

m/8 = 6

Use the inverse operation:

8 * 6 = 48

m = 48

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Positive numbers are not closed under subtraction. Give an example of this 1
below.

Answers

Answer:

5 -3 = 2

3-5 = -2

Step-by-step explanation:

In this question, we want to examine the validity of the statement by the use of an example.

Firstly, we need to understand the meaning of the fact that they are ‘closed’

By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.

Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.

What this means in terms of examples is as follows;

Consider two positive numbers, 5 and 3

Now we know that 5-3 = 2

To check if the closure property is obeyed, switch the place of the numbers.

This means we would have;

3-5 = -2

We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.

Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12

Answers

Answer:

-3x + y = 8.

3y = 9x.

Step-by-step explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c   (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8  - slope is 3 so this is parallel to  y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x  - so this is also parallel to 3x + 5.

y = -jx  The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6  - Not parallel.

IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?

Answers

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.

First, let's find the multiples of 10 and 14 until they equal 70.

[tex]10: 10,20,30,40,50,60,70[/tex]

[tex]14:14,28,42,56,70[/tex]

Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.

Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.

So, [tex]x = 70[/tex].

Hope this helped!

Answer:

x = 35

Step-by-step explanation:

70 factored is 2 x 5 x 7

x  = 35

What is the slope of the line below?
y=2/3 X - 3

Answers

Answer:

2/3

Step-by-step explanation:

Hey there!

Well in the equation,

y = 2/3x - 3

the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.

Hope this helps :)

Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start of the 16th day he has climbed a total of 29 m. On how many nights was he asleep?

Answers

Answer: The frog fell asleep for 4 nights.

Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.

Help please!!! Tyyyyyyy

Answers

Answer:

4/20

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The probability of landing on tails for any fair coin is [tex]\frac{1}{2}[/tex], or 50%. It doesn't matter how many times you've landed on heads/tails before, it always remains at [tex]\frac{1}{2}[/tex].

Hope this helped!

Is this right? Can someone please check?

Answers

Answer: Yes, Substitution property is the correct option.

Step-by-step explanation:

Substitution property of equality says that if 'a= b', then 'a' can be substituted in for 'b' in any equation, and 'b' can be substituted for 'a' in any equation.

Given: m∠A+m∠B =70° ...(i),  m∠X=m∠A

Then, substitute m∠X for m∠A in (i) , we get

m∠X+m∠B =70°

So, the correct option is "Substitution property"

If A = C + 3A=C+3, B = 2CB=2C, and C = 4C=4, which is the correct order from least to greatest?

Answers

Answer:

B, C, A.

Step-by-step explanation:

A = C + 3A = C + 3

A = C + 3

A = C + 3A

C + 3A = C + 3

3A = 3

A = 1

A = C + 3

1 = C + 3

C + 3 = 1

C = -2

B = 2C

B = 2(-2)

B = -4.

So, from least to greatest, B = -4, C = -2, and A = 1.

Hope this helps!

inscribed angles. need answers asap , thank u!​

Answers

Answer:

40°

Step-by-step explanation:

The circumference of a circle is equal to 360°

The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees

80 ÷ 2 = 40

PLEASEEEEEEEE HELPPPPPPPPP MEEEEEEEEEE

Answers

Answer:

b

Step-by-step explanation:

In general

Given

y = f(x) then y = f(Cx) is a horizontal stretch/ compression in the x- direction

• If C > 1 then compression

• If 0 < C < 1 then stretch

Consider corresponding points on the 2 graphs

(2, 2 ) → (4, 2 )

(4, - 2 ) → (8, - 2 )

Indicating a stretch in the x- direction.

y = f([tex]\frac{x}{2}[/tex] ) with C = [tex]\frac{1}{2}[/tex] , that is 0 < C < 1

stretches the graph in the x- direction by a factor of 2

Thus

y = f([tex]\frac{x}{2}[/tex] ) → b

PLEASE ANSWER QUICKLY ASAP
READ THE QUESTIONS CAREFULLY​

Answers

Answer:

I hope it helps.

The solutions in photo ^_^

Anne can make 6 headbands from 3/5 meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression? The expression that shows the amount of cloth needed to make 1 headband is . The solution to the expression is meters.

Answers

Answer:

Needed to make one band = 3/5 / 6 meters.

The solution is 1/10 meters.

Step-by-step explanation:

The expression is 3/5 / 6

= 3/5 * 1/6

= 3/30

= 1/10

Answer:

6 x (3/5)

1/10

Step-by-step explanation:

Quiana took out a loan to pay for a new car. Initially she owned the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net changed to the loan from Quiana's perspective over the past 5 months?

Answers

Answer:

[tex]Net\ Change = \$13997.53[/tex]

Step-by-step explanation:

Given

[tex]Debt = \$15,234.68[/tex]

[tex]Monthly\ Payment= \$247.43[/tex]

[tex]Duration = 5\ months[/tex]

Required

Determine the net change

First, we need to determine the total repaid amount;

[tex]Amount = Monthly\ Payment * Duration[/tex]

Substitute values for Monthly Payment and Duration

[tex]Amount = \$247.43 * 5[/tex]

[tex]Amount = \$1237.15[/tex]

The net change is the difference between the loan amount and the repaid amount

[tex]Net\ Change = Loan\ Amount - Repaid\ Amount[/tex]

[tex]Net\ Change = \$15,234.68 - \$1237.15[/tex]

[tex]Net\ Change = \$13997.53[/tex]

Hence, the net change over the period of 5 months is $13997.53

Answer: Quiana's initial loan amount is -15, 234.68. This is the total amount of money she must pay back to the lender.

A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don't give me the answer by guessing. show me how you arrived at the solution elaborately i.e. show me your working in detail

Answers

Answer:

[tex]\huge\boxed{77}[/tex]

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

Finding the factors for all of the multiples of 7:

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

Answer:

77

Step-by-step explanation:

The first factor is 1

Since it is divisible by 7, 7 will also be one of its factors.

Therefore the four factors are

1, 7, x, y

When x and y are integers

Using the following law...

The product of factors of a number in the same position (left or right) (increasing or decreasing order) is equal to the number

Counting from left

y is the first factor

x is the second factor

Counting from the right

1 is the first factor

7 is the second factor

Applying the last

y×1=x×7

y = 7x

the sum of the factors is 96

1+7+x+7x = 96

8x+8=96

8x = 88

x= 11

Hence the number is

7x = 7(11)

=77

Enter the coordinates of the point
on the unit circle at the given angle.
60°

Answers

Answer:

(1/2, [tex]\frac{\sqrt{3} }{2}[/tex])

Step-by-step explanation:

Don't totally trust me on this...

Simplyfy.
5x^3y^4(6xy^-1)^2

Answers

Answer: 180x5y2

Hope this helps!

Answer:

[tex]180x^5y^2[/tex]

Step-by-step explanation:

[tex]5x^3y^4(6xy^-^1)^2\\5x^3y^4(6^2x^2y^-^1^(^2^))\\5x^3y^4(36x^2y^-^2)\\180x^5y^2[/tex]

How many bicycles and how many skateboards are in the shop? Show your work.

Answers

Answer:75

Step-by-step explanation:54+21

Answer:

15 bicycles, 6 skateboards

Step-by-step explanation:

We are looking for the number of skateboards and the number of bicycles. Those two numbers are our unknowns.

We define variables for those two numbers.

Let s = number of skateboards.

Let b = number of bicycles.

A skateboard has 4 wheels. s number of skateboards have 4s wheels.

A bicycle has 2 wheels. b bicycles have 2b wheels.

The total number of wheels is 4s + 2b.

The total number of wheels is 54, so our first equation is

4s + 2b = 54

The total number of skateboards and bicycles combined is s + b.

We are told the total number of skateboards and bicycles combined is 21.

The second equation is

s + b = 21

We have a system of two equations in two unknowns.

4s + 2b = 54

s + b = 21

We can solve it by the elimination method.

Rewrite the first equation below.

Multiply both sides of the second equation by 2 and write it below that. Then add the equations.

          4s + 2b = 54

(+)      -2s - 2b = -42

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

          2s         = 12

s = 6

There are 6 skateboards.

Now we substitute 6 for s in the second original equation and solve for b.

s + b = 21

6 + b = 21

b = 15

There are 15 bicycles.

Answer: 15 bicycles, 6 skateboards

solve for x 7(x-3)+3(4-x)= -8

Answers

Answer:

Step-by-step explanation:

7x - 21 + 12 - 3x = -8

4x - 9 = -8

4x = 1

x = 1/4

Answer:

x= 0.25, or x=1/4

Step-by-step explanation:

First, use the distributive property and multiply 7 within the parenthesis:

7x -21

Next, use the distributive property again, and multiply 3 within the parenthesis:

12 -3x

Combine Like terms: 7x - 21 + 12 - 3x

4x - 9

Add 9 to both sides: 4x - 9 = -8

-8 + 9 = 1

Divide 4 by both sides: 4x = 1

1 / 4 = .25 or 1/4

A student who is 5 1/4 feet tall has a shadow that is 2 feet and 10 1/2 inches long. At the same time. a flag pole has a shadow that is 10 1/2 feel long. How tall, to the nearest inch, is the flag pole?

Answers

Answer:

The height of the flag pole is approximately 19 feet and 2 inches.

Step-by-step explanation:

Let suppose that length of the shadow of the object is directly proportional to its height. Hence:

[tex]l \propto h[/tex]

[tex]l = k\cdot h[/tex]

Where:

[tex]h[/tex] - Height of the object, measured in inches.

[tex]l[/tex] - Shadow length of the object, measured in inches.

[tex]k[/tex] - Proportionality constant, dimensionless.

Now, let is find the value of the proportionality constant: ([tex]h = 5\,\frac{1}{4} \,ft[/tex] and [tex]l = 2\,ft\,\,10\,\frac{1}{2}\,in[/tex])

[tex]h = \frac{21}{4}\,ft[/tex]

[tex]h = \left(\frac{21}{4}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]

[tex]h = 63\,in[/tex]

[tex]l = (2\,ft)\cdot \left(12\,\frac{in}{ft} \right) + \frac{21}{2}\,in[/tex]

[tex]l = 24\,in + \frac{21}{2}\,in[/tex]

[tex]l = \frac{48}{2}\,in+\frac{21}{2}\,in[/tex]

[tex]l = \frac{69}{2}\,in[/tex]

Then,

[tex]k = \frac{l}{h}[/tex]

[tex]k = \frac{\frac{69}{2}\,in }{63\,in}[/tex]

[tex]k = \frac{69}{126}[/tex]

[tex]k = \frac{23}{42}[/tex]

The equation is represented by [tex]l = \frac{23}{42}\cdot h[/tex]. If [tex]l = 10\,\frac{1}{2}\,ft[/tex], then:

[tex]l = \frac{21}{2}\,ft[/tex]

[tex]l = \left(\frac{21}{2}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]

[tex]l = 126\,in[/tex]

The height of the flag pole is: ([tex]l = 126\,in[/tex], [tex]k = \frac{23}{42}[/tex])

[tex]h = \frac{l}{k}[/tex]

[tex]h = \frac{126\,in}{\frac{23}{42} }[/tex]

[tex]h = \frac{5292}{23}\,in[/tex]

[tex]h = 230\,\frac{2}{23}\,in[/tex]

[tex]h = \frac{115}{6}\,ft\,\frac{2}{23}\,in[/tex]

[tex]h = 19\,\frac{1}{6}\,ft \,\frac{2}{23}\,in[/tex]

[tex]h = 19\,ft\,\,2\,\frac{2}{23}\,in[/tex]

[tex]h = 19\,ft\,\,2\,in[/tex]

The height of the flag pole is approximately 19 feet and 2 inches.

please see the photo and answer the quastion​

Answers

Answer:

A.

Step-by-step explanation:

I used a graphing calculator to check

Answer:

A

f(x)=(x+2)/(x+1)

1.
The Springfield Meteorological Center wanted to determine the accuracy of their weather forecasts. They
searched their records for those days when the forecaster had reported a 70% chance of rain. They
compared these forecasts to records of whether or not it actually rained on those particular days. The
forecast of 70% chance of rain can be considered very accurate if it rained on:
A. 95% to 100% of those days.
B. 85% to 94% of those days.
C. 75% to 84% of those days.
D. 65% to 74% of those days.
E
55% to 64% of those days.

Answers

Answer:

The correct option is;

D. 65% to 74%

Step-by-step explanation:

The accuracy of a forecast given based on a percentage or proportion or likelihood is determined by the based on the prevalence of the forecast in a similar proportion over the range of data points in which the forecast is made

Therefore, if it actually rained on 70% of those days for which the forecast was made, the forecast can be said to be very accurate.

Which is to say that the forecast of 70% chance of rain can be considered very accurate if it rained on 65 to 74% of those days which is in the range of the forecasted 70%.

which transformations can be used to map a triangle with vertices A(2, 2), B(4,1), C(4, 5) to A'(-2,-2), B'(-1.-4). C'(-5, -4)?​

Answers

Answer:

C!

Step-by-step explanation:

Your baseball team has won 6 games and lost 4 games. If the team
does not lose any more games, how many games must the team win
to have a win : loss ratio of 2:1? Explain your answer.

Answers

Answer:

two games must be won by the team

Step-by-step explanation:

Let the no. of games played by x, since  team

does not lose any more games.

Then total game won = 6+x

total game lost = 4

win: loss = 6+x : 4

given ratio of win and loss = 2:1

6+x : 4 = 2: 1

6+x = 8

=> x = 8-6 = 2

Thus, two games must be won by the team

then total win will be = 6+2 = 8

and loss = 4

ration of win : loss = 8:4 = 2:1

Murphy purchases two bags of rice of weights 56 kg and 72 kg. Find the maximum value of weight which can measure the weight of the rice exact number of times.

Answers

Answer:

8

Step-by-step explanation:

In order to answer this question we need to find the greatest common divisor of the two quantities which will give us the maximum number by which both can be divided.

The greatest common divisor of a group of integers is the largest common divisor that divides each of the integers. The first step to find it is write down the integers as a product of primes, so we have:

[tex]56=(28)(2)=(14)(2)(2)=(7)(2)(2)(2)= 2^3[/tex]·[tex]7[/tex]

[tex]72=(24)(3)=8(3)(3)=2^3[/tex]·[tex]3^2[/tex]

Now, in order to find the gcd we are going to take the factors that they have in common. In this case they both share the [tex]2^3[/tex].

Thus, [tex]2^3=8[/tex] is the greatest common divisor and therefore the maximum value of weight which can measure the weight of the rice exact number of times.

HELP ASAP MATH QUESTION The midpoint of a line segment is located at (3, -2). If one of the endpoints is (1, 6), what is the other endpoint? Express your answer as an ordered pair.

Answers

Answer:

(5, -10)

Step-by-step explanation:

[tex]Midpoint = (3,-2)\\1st \: endpoint = (1,6)\\2nd \: endpoint = ?\\\\\\Let \: (1,6) \:be \:x_1y_1\\Let\:(3,-2)\: be\:x\:and\:y\\\\x=(x_1+x_2)/2\\y=\frac{(y_1+y_2)}{2} \\\\3 =\frac{1+x_2}{2} \\\\3\times 2 =1+x_2\\\\6 = 1+x_2\\6-1=x_2\\\\x_2 =5\\\\y=\frac{(y_1+y_2)}{2} \\-2 = \frac{6+y_2}{2}\\\\ -2 \times 2= 6+y_2\\\\-4 = 6+y_2\\\\-4-6=y_2\\\\y_2 = -10\\\\Answer = (5 ,-10)[/tex]

What is 20 to 7 minus 1 hour 40 mins Will award brainliest

Answers

6:40 or 6 hour 40 minutes,

if you go back(subtract) 1 hour and 40 minutes

i.e. 6hours 40 minutes- 1 hour 40 minutes

subtract minutes from minutes and hours from hours,

5:00

note that here the minutes value is not negative so it was not a problem, what If it was 6:40-1:50?

Please answer this question now

Answers

Answer:

Surface area of a cone = 461.58 In²

Step-by-step explanation:

Surface area of a cone = πrl + or

Surface area of a cone = πr(r+l)

Where r = radius

Radius= diameter/2

Radius=14/2

Radius= 7 inch

And l slant height= 14 inch

Surface area of a cone = πr(r+l)

Surface area of a cone = π*7(7+14)

Surface area of a cone = 7π(21)

Surface area of a cone = 147π

Surface area of a cone = 461.58 In²

why is gravitational force between two object usually unnoticeable​

Answers

Answer:

gravitational attraction is based upon mass.More the mass more the force.When the object is as big as a moon it has a very less gravity.When we are talking about small objects like 2 pencils the force exists but is so weak that no noticabke movement takes place

Answer:

To notice that force, the objects have to have a big mass and be close to each others.

Generally in eveydays life, you don't notice this force since it is weak but that doesn't mean it does't exist.

If you go the space, you can notice this force since planets have big mass. If you get close to the gravitational field of a planet, you will feel a force that is pulling you toward the planet.

Other Questions
Explain how deforestion can lead to water pollution.Hello I am new here can help.Thanks Help me please thank you Which of the following laid the foundation for cartography, the artand science of mapmaking?A. Ancient EgyptiansB. Early EuropeansC. Ancient RomansD. ArabsE. Ancient Greekstosth A 1.25-kg ball begins rolling from rest with constant angular acceleration down a hill. If it takes 3.60 s for it to make the first complete revolution, how long will it take to make the next complete revolution? The perimeter of a rectangle is 10 feet. If twice the width is equal to half of the length , find the dimensions of this rectangle.WRITE AS AN EQUATION Triangle ABC is translated to image ABC. In this translation, A(5, 1) maps to A(6, 2). The coordinates of B are (1, 0). What are the coordinates of B? B( , ) Your Environmental Science class is preparing contributions for the school's Go Green Initiative. Your contribution will be an explanatory essay on sunflowers. The audience for your essay will be other students, teachers, and parents. Using more than one of the sources provided, craft a thesis to explain the ways in which sunflower seeds can be used to create biofuel and the economic implications of this process. Then, write a multi-paragraph explanatory essay explaining your thesis. Questions to answer: What is the prompt asking you to do? What information do you need to gather to be able to answer this prompt effectively? The solubility of lead(II) iodide is 0.064 g/100 mL at 20C. What is the solubility product for lead(II) iodide? Factorize Completely 20. Find the midpoint between the given points.(3, -8) and (-5, -13)?I need an answer fast! help if you can! Does the wavelength of light (R.O.Y.G.B.I.V.) affect a plants growth? Using minutes as the unit of measurement on the left-hand side of a constraint and using hours on the right-hand side is acceptable since both are a measure of time.a. Trueb. False The compound methylamine, CH3NH2, is a weak base when dissolved in water. Write the Kb expression for the weak base equilibrium that occurs in an aqueous solution of methylamine: Use information from the Washington Post article "Why We've Been Hugely Underestimating the Overfishing of the Oceans" to determine whether each statement is true or false. a. According to the Food and Agriculture Organization of the United Nations (FAO), worldwide catches peaked in 2001 at 86 million tons. b. Using catch reconstruction, researchers estimate that the actual peak catch was 50% larger than the reported peak catch. c, Catch reconstruction shows that, since the peak, catches have been increasing, not decreasing as previously reported. d. The Sea Around Us Project found several problems with the FAO data, such as the fact that data that were not available were reported as catches of zero fish. What is the definition of czar. Which statement about the transformation is true?Consider the transformation.It is isometric because the side lengths remained thesame.It is isometric because all angle measures remained thesame.It is not isometric because the side lengths did not remainthe same.It is not isometric because the angle measures did notremain the same. Thomas and Lilian are walking down the street to get to the corner store. They walk 5 blocks up the street and turn right by the stop sign. Once they turn at the stop sign they continue walking for 8 more blocks. They make a left, walk 2 blocks and cross the street to arrive at the corner store. While there they purchase a few snacks, sit at the curb, and then walk back home where they originally started. Thomas and Lilian are discussing their walk in reference to their overall displacement and distance. They seem to be in disagreement about their journey. Thomas says their overall displacement and distance are both zero, because they are back where they started. Lilian thinks their total distance and displacement are greater than zero. Which person do you most agree with? You are not expected to actually calculate in order to solve this problem. Almost every country in Europe has a coastline. Two ways each that climate, economy, politics, culture, and settlement patterns have been effected. PLEASE ANSWER SOON For the following system, if you isolated x in the first equation to use the substitution method, what expression would you substitute into the second equation?x + 2y = 63x + y = 8 The Retained earnings account for Nathan Corporation had a credit balance of $800,000 at the end of 2016. Selected transactions during 2017 follow:a. Net income was $130,000. b. Cash dividends declared were $60,000 c. Repurchased 100 shares of Nathan Corporation common stock, paying S20 per share. Each share has a $5 par value and was originally issued for $35. d. Sold 20 shares of Nathan Corporation common stock for $22 each. Required: Calculate Nathan's retained earnings balance as of the end of 2011. How large of a dividend could Nathan have declared in 2011?