Kai is making a chessboard using pieces of wood that measure 1 square inch.
when he finishes, the chessboard will have an area of 64 square inches.
how many pieces of wood should he put along each side?


a.
64 pieces of wood

b.
642 pieces of wood

c.
8 pieces of wood

d.
82 pieces of wood

Answers

Answer 1

Answer:

The correct option will be:   c.  8 pieces of wood.

Step-by-step explanation:

Suppose, the number of pieces of wood along each side of the chess board is  [tex]x[/tex]

The area of each piece of wood is given as 1 square inch. So, the length of each piece of wood will be: [tex]\sqrt{1}= 1[/tex] inch.

And the total length of  [tex]x[/tex]  number of pieces of wood will be:  [tex]1x[/tex] inches.

Given that, the area of the chess board is 64 square inches. So, the length of each side will be:  [tex]\sqrt{64}=8[/tex] inches.

Thus, the equation will be.........

[tex]1x=8\\ \\ x=\frac{8}{1}=8[/tex]

So, he should put 8 pieces of wood along each side.

Answer 2

Answer: it will be 8

Step-by-step explanation: because 8×8=64


Related Questions

Joseph owes his older brother $15, so he has a balance of -$15 with his brother . Joseph borrows more money from his brother ,bringing his balance to 5 times of the previous amount what is Joseph's new balance with his brother

Answers

Just multiple 5 and 15
He owes his brother $75 so the balance is -$75

Final answer:

Joseph's new balance, after borrowing more money which equals 5 times his initial debt of $15, is -$75.

Explanation:

Joseph initially owes his older brother $15, which can be represented as a balance of -$15. If Joseph's new balance is 5 times the previous amount, we would perform the following calculation:

Previous balance x 5 = New balance

So we would multiply -$15 by 5:

-$15 x 5 = -$75

Therefore, Joseph's new balance with his brother is -$75.

Please help! 10 points
What number needs to be added to both sides of the equation in order to complete the square?
x^2+16x=18
Enter your answers in the boxes.

x2+16x+(blank)=18+(blank)

Answers

Solution is given in attachment.

So 8^2 is need to add both sides for completing square.

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. What is the probability of drawing a red marble out of the bag without looking?

Answers

[tex]|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33\%[/tex]

The probability of drawing a red marble out of the bag without looking is 1/3

Probability is the likelihood or chance that an event will occur

Probability = expected outcome/total outcome

If a bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, the total outcome will be;

Total outcome = 1 + 2 + 3 + 3 = 9 marbles

If  a red marble out of the bag without looking, the expected outcome is 3

Pr(drawing a red marble) = 3/9 = 1/3

Hence the probability of drawing a red marble out of the bag without looking is 1/3

Learn more here: https://brainly.com/question/23417919

What is the volume of a box that holds 24 1/2 inch cubes

Answers

If each sugar cube has a width, height, and length of 1/2 inches, then the volume of one sugar cube=width x length x height=1/2 x 1/2 x 1/2 = 1/8 inches^3. If it can hold 24 cubes, 24 cubes x 1/8 inches^3 per cube = 24/8=3 inches^3

Question 4 Unsaved
Henry places x marbles into an empty bucket. Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown.

3x + 8

What does the term 8 represent in this expression?

Question 4 options:

the weight of each marble


the weight of the empty bucket


the number of marbles


the total weight of the bucket and marbles

Answers

Here in the given equation, 3x + 8 the term 8 represents the weight of the empty bucket.

Its given that the number of marbles is x, and the weight of each marble is same which is 3. So, total weight of marbles is 3x.

Now, if 3x + 8 is the weight of the bucket and marbles, then 8 represents the weight of the empty bucket.


A car travels 65km in 45minutes. What is the average speed of the car in km/h

Answers

65X60/45=260/3km/hr=86.66km/hr

Most Americans throw away about 1365 pounds of trash each year is it reasonable to estimate that Americans throw away over 10,000 pounds of trash in 5 years explan

Answers

It's not reasonable to estimate that Americans throw away 10,000 lbs of trash away because if you estimate the cost (5x1365) the cost should be around 6,900 or 6,800... (1000x5
300x5... 60x5... 5x5)

A parts distributor's customers always order spark plugs in groups of 4, 6, or 8. Which is the smallest quantity the supplier has that could accommodate every order?

Answers

Answer:

24 spark plugs

Step-by-step explanation:

To find smallest quantity that could accommodate every order we will find LCM of 4,6 and 8.

Multiples of 4 are: 4,8,12,16,20, 24,28,..

Multiples of 6 are: 6,12,18,24,30,36,42,..

Multiples of 8 are: 8,16,24,32,40,..    

We can see that LCM of 4, 6 and 8 is 24. Therefore, order of 24 spark plugs will accommodate every order.

find the value of x for which l is parrell to m

Answers

if l and m are parallel, then 2x and 5x + 40 sum to 180

[tex]2x + 5x + 40 = 180 \\ 7x = 140 \\ x = 20[/tex]

Express the number in scientific notation.


0.00341 x 104

A) 3.41 x 10-3

B) 3.41 x 10-1

C) 3.41 x 101

D) 3.41 x 104

Answers

B) 3.41×10-1 is the right one

Answer:

It's 3.14x10^1

Step-by-step explanation:


Divide and simplify. Enter you answer in the provided grid correctly.

9/16 *division symbol* 39/8

Answers

9/16 divided by 39/8

KCF

9/16 x 8/39

Simplify

9/2 x 1/39 = 9/78 or 3/26

Find the x and y intercepts if the function

Answers

I belive there is none because it lands on the origin for y.

Answer:

x intercepts   (0,0) and (3,0)

y intercept (0,0)

Step-by-step explanation:

To find out x intercepts we look at the points on the graph where it crosses or touches x axis. x axis is the horizontal line. y axis is the vertical line

The graph touches the x axis at x=0  and x=3

Always write the x intercepts as (x,0)

So our x intercepts are (0,0) and (3,0)

To find out y intercepts we look at the points on the graph where it crosses or touches y axis

the graph touches y axis at y=0

So y intercept of the graph is (0,0)

Identify the terms in the expression 55a + 22b

Answers

55a and 22b both are terms in that equation

I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be __________ dollars per month." Read more: I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per ... - I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be __________ dollars per month."

Answers

Given my current rate = $129.00 per month.

Savings of 15% over your prices.

Therefore, saving = 15% of $129.00 = 0.15 × 129.00 =$19.35.

Adjusted rate = current rate - saving = 129 - 19.35 = $109.65

Therefore, We can rewrite above expression as :

My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be 109.65 dollars per month."


If my current rate is $129.00 per month. Your adjusted rate will be $109.65 dollars per month.

Adjusted  rate

Using this formula

Adjusted rate = Current rate - Adjustment

Where:

Current rate=$129

Adjustment=(15%×$129)

Let plug in the formula

Adjusted rate=$129-(15%×$129)

Adjusted rate = $129 - $19.35

Adjusted rate =$109.65 per month

Inconclusion your adjusted rate will be $109.65 dollars per month.

Learn more about adjusted rate here:https://brainly.com/question/545887

The skeeters baseball team charges $7. Per ticket plus $3. Processing fee for each order. Is the cost of an order proportional to the number of tickets ordered? Explain how you know.

Answers

It's proportional

10-3=7 7/1 = 7

17-3=14 14/2=7

31-3=28 28/4=7

38-3=35 35/5=7

73-3=70 70/10=7

A triangle has side lengths of 8 inches,12 inches,and 16 inches. Determine whether this is a right triangle and why.

Answers

8²+12²≠16²
the answer is no

Answer:

the answer is no

Step-by-step explanation:

8²+12²≠16²


What is the answer to 99.55 divided by 1.1 worked out???

Answers

Answer:

90.5

Step-by-step explanation:

 0 9 0. 5 0 0

1 1 9 9 5. 5 0 0

 − 0          

   9 9        

 − 9 9        

     0 5      

   −   0      

       5 5    

     − 5 5    

         0 0  

       −   0  

           0 0

         −   0

             0

what is the slope for (3,−1) and (4,7)

Answers

The values of the slope and y-intercept are m=8 and b=−25

m=8

b=−25

To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where y2 and y1 are the y coordinates of the two points and x2 and x1 are the x coordinates of the two points.

Substitute in 7 and -1 for y2 and y1; substitute in 4 and 3 for x2 and x1. Now your expression should look like:

[tex]\frac{7-(-1)}{4-3}[/tex]

Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.

[tex]\frac{7+1}{4-3} =\frac{8}{1} =8[/tex]

The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.

The answer is: the slope of the line is 8.

4x + 8 = 2x + 7 + 2x - 20.

PLEASE SHOW WORK!!!

Answers

How to get answer:

[tex]\mathrm{Group\:like\:terms}\\4x+8=2x+2x+7-20\\\mathrm{Add\:similar\:elements:}\:2x+2x=4x\\4x+8=4x+7-20\\\mathrm{Add/Subtract\:the\:numbers:}\:7-20=-13\\4x+8=4x-13\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\4x+8-8=4x-13-8\\\mathrm{Simplify}\\4x=4x-21\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\4x-4x=4x-21-4x\\Simplify\\0=-21\\The\:sides\:are\:not\:equal\\[/tex]

Steps:

4x + 8 = 2x + 7 + 2x - 20

Group like terms:

4x + 8 = 2x + 2x + 7 - 20

Add similar elements: 2x + 2x = 4x

4x + 8 =4x + 7 - 20

Add/Subtract the numbers: 7 - 20 = -13

4x + 8 = 4x - 13

Subtract 8 from both sides

4x + 8 - 8 = 4x - 13 - 8

Simplify:

4x = 4x - 21

Subtract 4x from both sides:

4x - 4x = 4x - 21 - 4x

Simplify

0 = -21

Hope this helps! :) and Happy Halloween! ~Zane


Please help asap 25 pts

Answers

[tex]4y-8-2y+5=0\\\\(4y-2y)+(-8+5)+0\\\\2y-3=0\qquad|\text{add 3 to both sides}\\\\2y=3\qquad|\text{divide both sides by 2}\\\\y=\dfrac{3}{2}\\\\\boxed{y=1\dfrac{1}{2}}\to\boxed{c.}[/tex]

4y - 8 - 2y + 5 = 0

2y - 3 = 0

2y = 3

y = 3/2

Geometry help , only answer if your sure please. The question is in the attached

Answers

<7 = 62° ----alternate exterior angle

Answer is C) < 7


Which three statements would produce the truth value F when p is true and q is false

Answers

p^q , p-> q and ~p ^ q . all these three statements will give false when p is true and q is false

if 1-f=9/10 what is f

Answers

Hello there!

[tex]1-f=\frac{9}{10}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 1 from both sides of the equation.

[tex]1-f-1=\frac{9}{10}-1[/tex]

Simplify

[tex]-f=-\frac{1}{10}[/tex]

Then you divide by -1 from both sides of the equation.

[tex]\frac{-f}{-1}=-\frac{1}{10}/-1[/tex]

Simplify it should the correct answer.

[tex]f=\frac{1}{10}[/tex]

Answer⇒⇒⇒f=1/10

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

What is the volume of a cube with edge 5cm

Answers


[tex]125cm {}^{3} [/tex]

The cost of a tyre has increased by 20% to £78. Work out the original price. Please reply ASAP, thank you.

Answers

10% of £78 is £7.80 (78 / 10)
20% of £78 is £15.60

£78 - £15.60 = £62.40 was the original price

please help!!!!!!!!
WILL GIVE FIRST ANSWER BRAINLIEST

Use the substitution method to solve the system of equations. 3x + 7y = 1 y = x – 7
A. (3, –4)

B. (4, –3)

C. (2, –5)

D. (5, –2)

Answers

A. (3,-4 of equations

Answer:

{x,y} = {12,5}

Step-by-step explanation:


Tiger Algebra Solver logo

The Tiger Algebra Tiger

Algebra Calculator | Latest | Discuss | About | Help | Translation


23,965,445 solved | 1,065 online

3x-7y=1;-x+y=-7

Solution :


{x,y} = {12,5}

 


System of Linear Equations entered :


  [1]    3x - 7y = 1

  [2]    -x + y = -7


Graphic Representation of the Equations :


   -7y + 3x = 1        y - x = -7  


 




Solve by Substitution :


// Solve equation [2] for the variable  y


 [2]    y = x - 7


// Plug this in for variable  y  in equation [1]


  [1]    3x - 7•(x -7) = 1

  [1]    -4x = -48


// Solve equation [1] for the variable  x


  [1]    4x = 48


  [1]    x = 12


// By now we know this much :


   x = 12

   y = x-7


// Use the  x  value to solve for  y


   y = (12)-7 = 5


Solution :


{x,y} = {12,5}

What is bigger 400 pints or 100 gallons


Answers

Easy,

100 gallons=800 pints

There are 8 pints to a gallon. Since 100 gallons is the same as 800 pints, that is larger than 400 pints, Witch is also 50 gallons.

So ill say 100 gallons are bigger. :)

What is the area of the shaded region in the diagram? Use the value `pi` = 3.14, and round your answer to two decimal places.

Answers

Answer:

Can you attach a picture of the diagram?

Step-by-step explanation:


Answer:

9.42 Square Units

How:

You need to use the sector area formula.

Sector Area = Measure of Arc / 360° × π r²

So then you just plug in the numbers:

Sector Area = 45° / 360° × π 5²

Sector Area = 1/8 × 25π

Sector Area = 9.817477


Sector Area = 45° / 360° × π 7²

Sector Area = 1/8 × 49π

Sector Area = 19.242255

Then all you have to do is subtract them both to find the area.

19.242255 - 9.817477 = 9.42 Square Units

I Hope this helped!

Complete the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 + 14x + 34 = 5

Answers

(x + 7)² = 20

subtract 34 from both sides

x² + 14x = - 29

add (half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = - 29 + 49

(x + 7)² = 20


Parabolas A and B both have a focus at (2, 2). Parabola A has a directrix at x = -1 and parabola B has a directrix at x = 5. What is the distance between the vertices of the two parabolas?
A. 1.5
B. 3
C. 4
D. 5
E. 6

Answers

Parabola A: directrix is at x = -1 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (0.5, 2)

Parabola B: directrix is at x = 5 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (3.5, 2)

Distance between Vertex A and Vertex B is the distance between (0.5, 2) and (3.5, 2) = 3

Answer: B

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