A chessboard has an area of 324 square inches. There is a 1 - inch border around 64 squares on the board. What is the length of one side of the region containing a small squares?

Answers

Answer 1

The length of one side of the region containing the small squares is 64 inches.

Let x be the length of one side of the region containing the small squares.

The area of the small squares is 64 * 1 = 64 square inches.

The area of the border is (x + 2)^2 - x^2 = 4x + 4 square inches.

Since the area of the small squares and the border is equal to the area of the chessboard, we have:

64 + 4x + 4 = 324

68 + 4x = 324

4x = 256

x = 64

Therefore, the length of one side of the region containing the small squares is 64 inches.


Related Questions

6. What word describes the equal
shares of the shape?​

Answers

Answer:

bisection, trisection etc.

Step-by-step explanation:

It depends on how many parts a shape will be divided in. for example if a shape is divided in two equal parts, it will be called as halves or bisection or if a shape is divided in three equal shapes it will be known as trisection and so on.

is
[tex] \frac{3}{6} [/tex]
a rational number?​

Answers

Hey!

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

Answer: Yes 3/6 is rational!

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

Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.

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

Hope This Helped! Good Luck!

What is the perimeter of this rectangle?

Answers

Step-by-step explanation:

The perimeter of a rectangle is 2(l+b)

l= x2-x1

b=y2-y1

2(l+b)=2(x2-x1+y2-y1)

which of these sets of angle measures could be three angles in a triangle
A) 40° , 50°, 60°
B) 50°, 60°,70°
C) 60°, 70°, 80°
D) 70°, 80°,90°​

Answers

It’s going to be B. 50+60+70=180 which is how many degrees are in a triangle.

The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and with three angles.

Since, The sum of all three angle in a triangle will be 180 degree.

Now, For option A;

The angles are 40° , 50°, 60°.

Sum of angles = 40° + 50° + 60°

                      = 150°

Hence, These set are not possible.

For option B;

The angles are 50° , 60°, 70°.

Sum of angles = 50° + 60° + 70°

                      = 180°

Hence, These set are possible.

So, The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

Learn more about the triangle visit:

https://brainly.com/question/24382052

#SPJ2

Select the action you would use to solve x-3= 12. Then select the property that justifies that action.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3,
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality

Answers

Answer:

a

Step-by-step explanation:

you would add three to both sides because you are subtracting on the left side, so you would use inverse operations

Answer:

A &d

Step-by-step explanation:

A pex

Find the pay per hour if you earned $102.67 for 16 hours worked.

Answers

Answer:

heyooo!

the correct answer is youll be making 6.41 an hour.

hope this helps!!

Step-by-step explanation:

if you divide 102.67 by 16 hours youll end up with your hourly pay which is 6.41

How can u solve for x when there is a y in the like y=4x+8x

Answers

Answer:

x = [tex]\frac{1}{12}[/tex] y

Step-by-step explanation:

Given

y = 4x + 8x, that is

y = 12x ( divide both sides by 12 )

[tex]\frac{y}{12}[/tex] = x, or

x = [tex]\frac{1}{12}[/tex] y

2. Simplify the expression.
7 + 10x - 7 + 7x

Please Help!!!

Answers

Answer:

17x

Step-by-step explanation:

10+7 = 17

7-7 = 0

7+10x-7+7x
7-7=0 So,
10x+7x
17x


Which numbers are 3 units from −6 on this number line?

Drag and drop all of the numbers that are 3 units from −6 to their correct position on the number line.











Answers

-9 and -3 are both 3 units from -6 on the number line.

Answer:  -9 and -3 are numbers which are 3 units from -6 on the number line.

Step-by-step explanation:

Since we have given that

3 units from -6 on the number line.

As we know that

there is right hand side and left hand side on the number line.

Left hand side is for negative numbers, and right hand side is for positive numbers.

So, the number which is 3 units from -6 on the left is given  by

[tex]-6-3=-9\ units[/tex]

The number which is 3 units from -6 on the right is given by

[tex]-6+3=-3\ units[/tex]

Hence, -9 and -3 are numbers which are 3 units from -6 on the number line.

❗❗❗❗❗❗❗HELP❗❗❗❗❗❗❗


Select the table of values where the quadratic function changes direction at a different value of x than the others.


Imagine that this is a graph.


A.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


B.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


C.

x -3 -2 -1 0 1 2 3

y 4 3 4 7 12 19 28


D.

x -3 -2 -1 0 1 2 3

y 1 -1 1 7 17 31 49

Answers

i think the answer is B. x-3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22

Answer:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

Step-by-step explanation:

The point where the quadratic function changes direction (which is the maximum or the minimum of the function) is called the turning point. In options A, B and C the turning point is at (-2, 3), and in option D the turning point is at (-2, -1).

Given that all of them correspond to the same x-value and options A and B are the same, I assume one of them was mistyped. Given the following option:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

we see that the turning point is at (2, 3) which represents a different x-value.

Point A is located at (-5, 2) and is reflected in the y-axis. What are the coordinates of point A'?
A.(-5, -2)
B.(5, 2)
C.(5, -2)

Answers

When a point is reflected across the Y axis, the Y coordinate remains the same and the X coordinate becomes the opposite of the original value.

Points are written as ( X,Y)

The original point is (-5,2)

The opposite x value would be 5 and the Y value stays the same.

The reflected point would be (5,2)

The answer is B.

Final answer:

A.(-5, -2). The reflected point A' after reflecting point A with coordinates (-5, 2) in the y-axis will have coordinates (5, 2).

Explanation:

When point A, which is located at (-5, 2), is reflected in the y-axis, you have to switch the sign of the x-coordinate while keeping the y-coordinate the same. This is because reflection across the y-axis means that the point's position will be mirrored over the y-axis, resulting in the same vertical (y) positioning but an opposite horizontal (x) positioning. Therefore, the reflected point A', will be at (5, 2), which corresponds to answer B.

A path starts and ends at the same vertex.
False​

Answers

No it does not. False

Select all of the angles that have a positive measure

Answers

Answer: angle 2, 5, and 6

Step-by-step explanation:

edge 2023

Final answer:

In mathematics, angles have a positive measure when they are measured counterclockwise from the reference line or origin.

Explanation:

In mathematics, angles can be measured in positive or negative degrees or radians. An angle is considered to have a positive measure if it is measured in the counterclockwise direction. Therefore, any angle that is measured counterclockwise from the reference line or origin is considered to have a positive measure.

For example, if we have a line segment and we measure an angle of 60 degrees counterclockwise from the positive x-axis, the angle has a positive measure. Similarly, if we measure an angle of 45 degrees counterclockwise from the positive y-axis, the angle also has a positive measure.

1 2 3 4 5 6 7 8 9 10 11

Answers

1) PEMDAS: 12 * 5 + 6 / 6

12 * 5 = 60

60 + 6 / 6

6 / 6 = 1

60 + 1 = 61

61 is the final answer.

2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2

2 in the final answer.

3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.

-10 is the final answer.

4) 15x + 1 = 26

Subtract 1 from each side.

15x = 25.

25/15 = 1.6...

x = 1.6...

5) 2x -4 + 3x = - 1

2x + 3x = 5x

5x - 4 = -1

Add 4 to each side

5x = 3

3/5 = 0.6

x = 0.6

6) x-2/3 = x+4/5

I don't remember the steps, but the answer is x = 11

7) Finding the relationship between x:4 and 5:20

20/5 = 4

x = 1

The smaller rectangle has a reduction of 5 times.

8) Mean is found by adding all the number, then dividing by the amount added.

18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171

171/8 = 21.375

Mean = 21.375

Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5

Median = 21.5

9) Circumference of a circle = 2(pi)(r)

Circumference = 30πin (thats the pi symbol)

If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.

10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y

5x + 2x = 7x

7x + 7y - 8y^2 - y

-y + 7y = 6y

Answer: -8y^2 + 7x + 6y

Evaluate the expression when a=6 and y=7-a+5y

Answers

Answer:

29

Step-by-step explanation:

Substitute a = 6 and y = 7 into the expression

- a + 5y = - 6 + (5 × 7) = - 6 + 35 = 29

1-sin60÷cos60=1-Tan30÷1+Tan30

Answers

Step-by-step explanation:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Therefore LHS=RHS

What is -5 1/4 written as a decimal

Answers

Answer:

-5.25

Step-by-step explanation:

1/4 is equal to 0.25

Given l||m and m∠1 = 60°, select all angles that are also equal to 60°.

you can choose more than one


the answer choices are

2

3

4

5

6

7

8

Answers

Answer:

m∠2

m∠3

m∠4

Step-by-step explanation:

we know that

m∠2=m∠1 ----> by vertical angles

m∠3=m∠1 ---- by corresponding angles

m∠4=m∠1 ----> by alternate exterior angles

Answer:

m<3

m<2

m<4

Step-by-step explanation:

What is the solution to the following system of equations?


It has infinitely many solutions.
It has no solution.
It has one solution (2, –3).
It has one solution (4, 0).

Answers

Answer:

A. Infinite solutions.

Step-by-step explanation:

3x - 2y = 12

6x - 4y = 24

The second equation can be formed by multiplying the first by 2. So if we graphed them they would give the same line. So the equations are identical and there are infinite solutions.

A.Infinite solutions

Explain the difference between a markup and a margin.

Answers

Answer:

Step-by-step explanation: mark up would be a fixed percentage, say you mark up your goods 50% your cost is $1 and 50% m-up would mean a selling price of 1.50. given this , your margin is 50cents. but margin may vary, there are indirect costs, example. store a charges, 1% display fee, store b charges 3% display fee. so, in store by your margin decreases. other factor that may affect margin are commission, local taxes, store charges.

Answer:

The answer is

Profit margin is sales minus the cost of goods sold. Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price. Markup is the retail price for a product minus its cost, but the margin percentage is calculated differently.

on edg 2020

Step-by-step explanation:

Which of the following numbers could not be represent a probability

Answers

[0,1] could not be used to represent a probability.

What is the absolute value of -3/8? A. 0 B. -3/8 C. 3/8 D. -3/8 or 3/8

Answers

The answer is 3/8. The absolute value of a number is its distance from zero on the number line.

Answer:

The answer is 3/8. The absolute value of a number is its distance from zero on the number line.

Step-by-step explanation:

which equation could be used to create the graph?
Answers
A y=x -2
B y=x -4
C y= x/3
D y=3x

Answers

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = [tex]\frac{3-0}{9-0}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex], thus

y = [tex]\frac{1}{3}[/tex] x

Or

y = [tex]\frac{x}{3}[/tex] → C

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x

Or

y = \frac{x}{3} → C

Read more on Brainly.com - https://brainly.com/question/13253100#readmore

Which describes Myra’s distance as time increases

Answers

Answer:

mathw ay .com

Step-by-step explanation:

Question:

The table shows the total distance that Myra runs over different time periods.

Which describes Myra’s distance as time increases?

Answer:

A.) Increasing.

Ripley told his mom that multiplying whole numbers by multiples of 10 was easy because you just count zeros in the factors and put them in the product. He used these two examples to explain his strategy.

7,000 × 600 = 4,200,000
(3 zeros) (2 zeros) (5 zeros)

800 × 700 = 560,000
(2 zeros) (2 zeros) (4 zeros)

Ripley’s mom said his strategy will not always work. Why not? Give an example.

Answers

Answer:

She is right, it won´t always work.

Step-by-step explanation:

Hi, in the examples this tactic works because the first numbers, when multiplied, don´t equal 10 (7x6=42 and 8x7=56). If you multiply both numbers and give you 10, you will have to add another zero to the final number and the trick would crash.

Example:

    200    x       500      =    100,000

(2 Zeros)      (2 zeros)        (5 zeros)

Best of luck.

Shaunee won 79 tickets at Chuck e' Cheese's. She
kept 25 of them, and split the rest evenly between 3
friends. How many did each friend get?

Answers

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following equation:

[tex]3N + S = 79[/tex]

where [tex]N[/tex] is the number of tickets each friend got, and [tex]S[/tex] is the number of tickets that Shaunee got. We know that Shaunee got 25, so we know [tex]S = 25[/tex] and can plug that into the equation:

[tex]3N + 25 = 79[/tex]

Subtracting 25 from each side gives us the following:

[tex]3N = 54[/tex]

Dividing both sides by 3 gives us the answer:

[tex]N = 18[/tex]

79 tickets minus 25 is 54

Shawnee has 54 tickets to split between her friends.

54 divided by 3 friends equals 18 tickets.

You can check the answer by multiplying: 18x3 equals 54.

Hence, her friends each got 18 tickets...

Find the measures of supplementary angles 1 and 2, if: angle on is 40º less than angle 2

Answers

Answer:

140°

Step-by-step explanation:

180° is a full degree, so if one is 40° less than two 180°-40° (don't quote me on this bc I'm not that good at math oops)


The volume of a sphere is 3,052.08 units cubed. What is its diameter?
18 units
20 units
31 units
47 units

Answers

3,052.08 = (4/3) pi (r)^3

cube root ( [ 3,052.08 / pi ] * (3/4) ) = r = 9

So.....diameter = 2r = 18 units

Mrs. Lyons is playing Jeopardy against Mr.Browen. Mr. Bowen incorrectly answers questions with 40 points five times in a row. What is his score so far?

Answers

Answer:

-40 x 5 = -200. his score is -200

]

I have no clue as to what this is good luck though

The discount on a new copier was $220. This was a discount of 14%

Answers

The original price would be $189.20 because the decimal is 0.14 is ( you move the decimal point to the right of where the number starts) then multiply that decimal to 220 and it would be 30.8. Subtract 30.8 and you get $189.20
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