25 POINTS!!!
A map of a town has no scale. You know that the distance between the post office and the park is 2 mi. On the map it is 2 in. Also, on the map you know the distance from the park to the school is 8 in. What is the actual distance in miles between the park and the school?
A. 0.5 mi.
B. 4 mi.
C. 8 mi.
D. 16 mi.

Answer:

Step-by-step explanation:

Givens

The triangle is x

The square is y

Left side

x + 3y is the weight

Right side

4x + y is the weight.

The weights are equal because the hanger is balanced.

Balance equation

x + 3y = 4x + y                 Subtract x from both sides

x-x + 3y = 4x-x + y           Combine

3y = 3x + y                       Subtract y from both sides

3y - y = 3x + y - y             Combine

2y = 3x

Answer

2y = 3x

Answer:

  x +3y = 4x +y

Step-by-step explanation:

A hanger diagram like this is intended to show you that the total weight on the left side is equal to the total weight on the right side.

__

The left side shows 1 triangle and 3 squares. x and y are defined as the weights of the triangle and square, respectively, so the weight on the left side can be represented as ...

  x + 3y

The four triangles and 1 square on the right can have their total weight represented as ...

  4x +y

The intent of the diagram is to show that the left-side weight is equal to the right-side weight. That equality can be written as ...

  x +3y = 4x +y

_____

Additional comment

This problem is not asking for any sort of "solution" or relationship between x and y. We could find such a relationship by solving the equation for y:

  x +2y = 4x . . . . subtract y from both sides

  2y = 3x . . . . . . . subtract x from both sides

  y = (3/2)x . . . . . divide by the coefficient of y

This tells you that the hanger will only be balanced if the weight of a square is half-again as much as the weight of a triangle.

Answer:

0

This is because for a number to be divisible by 9 all the digits should add up to a number divisible by 9. Since they already do you just put a 0.

Answer:

Step-by-step explanation:

4x + y = x + 3y

4x - x = 3y - y

3x = 2y

if x = 6 then

3*6 = 2y

18 = 2y

y = 9

The x value is the same, the y value is different,

Y is the up and down movement.

Moving from -8 to -5 is an upward move of 3 units.

Answer: 1, 3 units up.

Step-by-step explanation:

=> 11x + 2 = 5x + 10 + 58

=> 11x - 5x = 10 + 58 - 2

=> 6x = 66

=> x = 66/6

=> x = 11

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to solve the equation [tex]\large\pmb{11x+2=5x+10+58}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

So here's how we solve the equation...

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\

Notice that we can add 10 and 58 right off the bat:

[tex]\large\pmb{11x+2=5x+68}[/tex]

Now we subtract 2 from both sides of the equal sign:

[tex]\large\pmb{11x=5x+66}[/tex]

Now we subtract 5x from both sides of the equal sign:

[tex]\large\pmb{6x=66}[/tex]

Divide both sides by 6:

[tex]\large\pmb{11}[/tex]

That's the value of x.

Hope it helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students out :)

Answer:

5

Step-by-step explanation:

seven point two and 9 imches

Step-by-step explanation:

Let x, and x+1 be the consecutive numbers.

[tex]x + (x + 1) = 37[/tex]

[tex]2x + 1 = 37[/tex]

[tex]2x = 36[/tex]

[tex]x = 18[/tex]

Plug in 18 for x+1,

[tex]18 + 1 = 19[/tex]

So the numbers is 18,19

Answer:

18 and 19

Step-by-step explanation:

if you have two consecutive numbers, then using algebra, one unknown number is x and the other unknown consecutive number is x + 1

The equation x + x + 1 = 37

To solve this equation subtract 1 from both sides as one does in algebra.

x + x + 1 = 37 → x + x + 1 - 1 = 37 - 1

Now you have the equation x + x = 36

This can rewrite this as 2x = 36        2x means 2 times the value of x

To solve this part of the equation divide both sides by 2

2x / 2 = 36 / 2

x = 18

The next consecutive number x + 1 = 19, (18) + 1 = 19

check this by adding. 18 + 19 = 37.

Answer:

the answer is 28 in

hope this helps

Replace x with the x value solve to get the y value.

see attached picture for answers.

Answer:

90 square kilometers

Step-by-step explanation:

1. split the figure in small definite sections

2. find the areas of the smaller sections.

3. find the sum of the areas.

its rational - 5.78 = 5.787878.

D.

explanation:

We have been given a number 5.78. We are asked to choose the correct statement which shows that 5.78 is a rational number.

Upon looking at our given choices, we can see that only option A is the correct choice as it has repeating digits (78) after decimal.

We know that a number with repeating decimals can be written as a fraction, therefore, option D is the correct choice.

Answer:

hello

Step-by-step explanation:

its D

Answer:

see the attachment photo!

Answer:

Boc= 80..it's opposite to the other and equal.

cod is 60. if you substract 360- 240 you get 120..then in half you gibd 60

Answer:

A rectangular prism has six faces, commonly referred to as the base, top and four sides. The base and top always have the same area as do pairs of opposite sides

Step-by-step explanation:

Answer:

the base and the top, along with the opposite sides

Step-by-step explanation:

A rectangular prism has six faces, commonly referred to as the base, top, and four sides. The base and top always have the same area as do pairs of opposite sides.

Answer: 290

Step-by-step explanation:

Plug in the value 5 for x

2(5) (4+5(5))

Then use PEMDAS to solve:

P - parentheses (Multiple then add)

5(5)=25

4+25=29

M - multiple

2(5)=10

10 (29) = 290

Answer:

THE ANSWER IS 58

Step-by-step explanation:

It is equal. The same either way. :)

Hey there!

PROBLEM #1. 4 * 2,160

4 * 2,160
= 2,160 * 4

= 2,160 + 2,160 + 2,160 + 2,160

= 4,320 + 4,320

= 8,640
Therefore, the answer should be: 8,640

Problem #2. 4 * 2,610
4 * 2,610
= 2,610 * 4

= 2,610 + 2,610 + 2,610 + 2,610

= 5,220 + 5,220

= 10,440

Therefore, the answer should be:

10,440

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

please look at answer is attched

Answer: x= 385/12

Step-by-step explanation:

You would first change the denominator to some number that is common. Then combine the like terms. Lastly, subtract the fraction from the equal and you get your x.

[tex]\frac{13}{4} +\frac{1}{6} +x=\frac{71}{2} \\(\frac{39}{12})+(\frac{2}{12})+x=\frac{426}{12} \\\frac{41}{12}+x=\frac{426}{12} \\x=\frac{385}{12}[/tex]

Answer:

1092

Step-by-step explanation:

(12x34) x 2 + (12x3) x2 + (34x3) x2 = 408 x 2 + 36 x 2 + 102 x 2

=816 + 72 + 204

= 1092

(the numbers in brackets are the "net" areas)

Answer:

It seems like everything is correct but I wouldn't be for sure.

But if you think everything is not right, then don't listen to me lol-

I hope I helped  ^^

Answer:

I can tell u two

Step-by-step explanation:

1st one is b

3rd is b

4th is b

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this

he

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Answer:

[tex]m\angle MNI = 135^{\circ}[/tex]

Step by step explanation:

[tex]\text{The exterior angle of a triangle = sum of two opposite interior angles.}[/tex]

[tex]~~~~~~\angle MNI = \angle LMN + \angle MLN\\\\\implies 19x+2=(15x-12)+6x\\\\\implies 19x +2 = 21x-12\\\\\implies 21x -19x = 12+2\\\\\implies 2x = 14\\\\\implies x=\dfrac {14}2\\\\\implies x = 7\\\\\text{So,}~ m\angle MNI = 19(7)+2=135^{\circ}[/tex]

same, i want the answer for the same question pls answer