john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and a length that is 5 times the width. The entire patio is 6ft wider and 19 ft longer than the fire pit. What is the area that he will need to buy tiles for?

Answers

Answer 1

Answer:

49x + 114

Step-by-step explanation:

[   [ fireplace ] x   = area of 5[tex]x^{2}[/tex]                   ]  x + 6

     5x

   patio               = area of 5[tex]x^{2}[/tex] + 49x + 114

5x + 19

 

(5x + 19) ( x + 6) = 5[tex]x^{2}[/tex] + 19x + 30x + 114

(5[tex]x^{2}[/tex] + 49x + 114)                     -   (5[tex]x^{2}[/tex] )                         =           49x + 114

(area of patio and fireplace) - (area of fireplace)     =       (area of patio only)


Related Questions

Please help me, I'm behind and my teacher is making us take a quiz that I don't know anything about T_T

LMNP is rotated 180* clockwise around the origin.

Answers

Answer:

D

Step-by-step explanation:

If a shape is rotated 180* clockwise around the origin, then it is basically being flipped around which means that the current coordinates would be the opposite of what they currently are. So (3,4) would be (-3, -4).

I think that is the right answer but I'm not 100% sure sorry!

67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways

Answers

Answer:

A

Step-by-step explanation: add 15+12+7

if im write can i get a brainliest? plss:>

The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

To learn more about permutations visit:

https://brainly.com/question/14368656

#SPJ2

HELP!!! answer quickly pls

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

pls how do i solve htis question...... (x+1)^3​

Answers

Answer:

x^3+3x^2+3x+1

A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



3

Answers

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

i need help with this pleaseeee

Answers

Answer:

64.44

Step-by-step explanation:

Area of the rectangle:

A = bh

A = 7 x 11

A = 77

Area of a circle:

A = πr²

A = 3.14(2²)

A = 3.14(4)

A = 12.56

Combined:

77 - 12.56

64.44

PLEASE HELP 2x^2-8x+6=0

Answers

Answer:

x = 4 or x = -1

Step-by-step explanation:

2x^2 - 8x + 6 =0

divide by 2 we get  : x^2 -4x +3 = 0

(x -4) (x+1)

x = 4 or x = -1

Find the volume of a pyramid with a square base, where the side length of the base is 14.1 feet and the height of the pyramid is 13.1 feet. Round your answer to the nearest 10th of a cubic foot.

Answers

Answer:

= 868.1ft^3

Step-by-step explanation:

Volume of the square based pyramid = BH/3

B is the base area

H is the height of the pyramid

Base area = Length * Length

Base area = 14.1*14.1

BAse area = 198.81ft^2

Height = 13.1feet

Substitute

Volume = 198.81*13.1/3

Volume of the pyramid = 868.1ft^3

Hence the volume of a pyramid with the square base is 868.1ft^3

Answer: 868.1 ft^3

Step-by-step explanation:

Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2

Answers

Answer:

x=-2

Step-by-step explanation:

x^2+4x+4 = 0

(x+2)(x+2) = 0

x+2=0

x=-2

x=-2 hope this helps you

Can you guys help with the exercise?

Answers

yeah just don’t be fat

The amount of money earned by Alejandro varies directly to the number of hours
worked. Alejandro worked for 12 hours and earned $150. How much money did he
earn if he worked 38 hours?
$474
$475
$150
$100

Answers

Answer:

474

Step-by-step explanation:

38/12= 3.16

3.16x150=474

A 90 degree clockwise rotation moves a point to the exact same location as what other rotation?

Answers

Answer:

12+hd

Step-by-step explanation:

Answer:

Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.

1 Answer. No, it is not possible. If you have a rectangle that is 2 units tall and 1 unit wide, it will be the same way up after a horizontal or vertical reflection. You can rotate a rectangle through 90 degrees using 2 reflections, but the mirror line for one of them should be diagonal.

Step-by-step explanation:

please mark this answer as brainlest

what is the x-intercept of the graph 4x-6y=12

Answers

So the x-intercept is 3. Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2

Aziz purchesis 4 2/8 feet of fabric he used 1/5 of fabric to make a tote bag how much fabric will aziz have left over?

Answers

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40  = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10

Answers

Answer:

Step-by-step explanation:

10/10 cause everyone is

Answer:

AA by isaiah rashad

Step-by-step explanation:

good song

Can someone help me with this. Will mark brainliest.

Answers

The answer to this question is false

can you answer this PLEASEEEE​

Answers

The figure is a parallelogram so the facing sides have equal size which means :

DE = GF & DG = EF

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

DE = 3x - 1 , GF = 2x + 11

DE = GF ==》 3x - 1 = 2x + 11

subtract sides minus 2x

==》- 2x + 3x - 1 = - 2x + 2x + 11

collect like terms

==》 x - 1 = 11

add sides 1

==》 x - 1 + 1 = 11 + 1

==》 x = 12

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

As we found : DG = EF

DG = 2x - 3 So EF = 2x - 3

To find the size of EF, we need to put the value of x (which we found above) instead x.

EF = 2 × ( 12 ) - 3 ==》 EF = 24 - 3

==》 EF = 21

And we're done...

scrieți divizorii întregi ai numerelor 6,9,15

Answers

Answer:

`15

Step-by-step explanation: i think

If y varies inversely with x and y = 8 when x = 10, then what is the constant of variation?

Answers

Answer:

Constant Variation = 80

Step-by-step explanation:

Here,

Said that x and y vary inversely ,

So,

Then an increase in x causes corresponding decrease in y and vice-versa then to find the constant k will be:

xy = k

Hence,

Here y = 8 and x = 10

So their constant will be,

x × y = k

=> k = 8 × 10

=> k = 80

Therefore, the required constant is 80 (Ans)

Harry has 25 sweets.
He gives 11 of the sweets to Nadia.
What fraction of the 25 sweets does Harry have now?

Answers

Answer: 14

Step-by-step explanation:

1. Harry has 25/25 sweets

2. Nadia takes 11/25 sweets

3. Your left with 14/25

What are the solution to the equation (x+3)^2=7

Answers

Step-by-step explanation:

see attached. hope it's helps

the square of a negative number increased by 6 times the number is 72. Find the number.

Answers

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

Check

(6 + 6) × 6 = 72

12 × 6 = 72

simplify (2x^2+3)(x+4

Answers

Answer:

23+32−5+12 is the equaequation simplified

Step-by-step explanation:

I’m having trouble with geometry, if anyone could help me i would appreciate it :)

Answers

All the answers are labeled in picture below. Good luck.

Find the area of the shaded region. Round your answer to the nearest tenth.
5 in.

Answers

Answer:

10 is the number

Step-by-step explanation:

Find the height of the cylinder

Answers

Answer:

the height is 3.998 cm

Step-by-step explanation:

h = V / (π * r²)

Hope this helps :)

Find the volume of the solid. Round your answer to the nearest tenth.​

Answers

Correct ~~~~~~~~~~~~~~~~~~~~~~

Just met a boy, just met a boy when He could over in my play pen‍♀️
If you want it I'm going to va va vroom vroom​

Answers

what does this mean what

Answer:

Um what

Step-by-step explanation:

Can someone help me on this math question pls I have 12 more questions I need help on too !

Answers

A is the answer. Since they will both be divided by 4 due to the same amount of points, because Globrite has a greater range, it will have a greater mean. Glo brite also ranges bigger than Luminate

tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..​

Answers

Answer:

rhymy

Step-by-step explanation:

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