Mathematics High School

Mr. Carter is building a circular fire pit in his backyard. The diameter of the fire pit is 6 feet and he will fill the interior with gravel covering 5/6 of the area. How much gravel will he need?
A. 23.55 sq. ft.
B. 28.26 sq. ft.
C. 94.2 sq. ft.
D. 113.04 sq. ft.

Answers

Answer 1

Answer:

23.55

Step-by-step explanation:

To calculate the area I did the following equation

area = 3.14 (r) (r)

area = 3.14 (3) (3)

area = 28.26

The area is 28.26 but the question is asking how much gravel would be needed to fill 5/6 of the area.

The equation for 5/6 out of 28.26 is

28.26 (5/6) = 23.55

So the final answer is (a.) 23.55 sq. ft.

Related Questions

Find the vertex and y-intercept of the quadratic function.
y = - x2 + 4x + 7

Answers

Answer:

Vertex: (2, 11)

Y-Intercept: (0, 7)

Step-by-step explanation:

Regent Stadium charges $20 for a seat in the bleachers, $30 for an end zone seat, and $40 for the excellent seats near the 50-yard line. When the stadium is full, 500 tickets were sold for a total of $14,000. The number of bleacher seats is the same as the number of end zone and 50-yard line seats combined.

Answers

Answer:

The number of bleachers seat sold = 200

The number of end zone seats sold =200

The number of excellent seats sold =100

Step-by-step explanation:

Let there are bleachers seats =x

The number of zone seats =y

The number of excellent seats =z

So, we can set up equations for given sentences as

x+y+z= 500

20 x+30 y+40 z=14000

x=y

Substitute x as y into first two equations

y+y+z=500

20 y+30 y+40 z=14000

Simplify each

2 y+z=500

50 y+40 z= 14000

Multiply 2 y +z=500 by -40 to eliminate z terms when we add them.

-80 y-40 z=-20000

Add this with 50 y +40 z=14000, which gives

-30 y=-6000

Divide both sides by -30

y=200

Now, plug in y as 200 into any of the equations to find z.

2(200)+z=500

400+z =500

Subtract both sides 400.

z=100

Now, we know x=y

So, x=200

What’s the slope of this chart?

Answers

The slope is 9
You use the formula y=mx+b and plug in the y and x from the chart. I’m not 100% sure cuz I did this 3 years ago so sorry if it’s wrong!

Find the LCM (least common multiple) of 15 and 8.

LCM =

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

X-4>3
Hellllp me please

Answers

x is equal to 8 and any numner greater than 8

Answer:

X is larger than 7

Step-by-step explanation:

X-4>3

X>3+4

X>7

HELP PLEASE TO CONFUING FOR ME

Answers

Answer:wow this is hard

Step-by-step explanation:

What are the 2 points on the graph? Choose 2

A. (1,2)
B.(2,1)
C.(-1,2)
D.(0,0)

Answers

A is the answer Bc you start on the x-axis end this go up 1 over 2

Answer:

C,D

Step-by-step explanation:

Pls Help again I have to post separately​

Answers

?g hi hi hey v icefish ufujzu
answer to 11 is 14 cm.

You start at (4,4). You move up 1 unit and left 7 units. Where do you end?

Answers

Answer: i believe it would be (-3 , 5)

Step-by-step explanation:

Correct me if im wrong

Answer:

(-3, 5)

Step-by-step explanation:

I could be mistaken, but I'm pretty sure it's that. You may want to graph the point yourself and double-check just to make sure.

please help me with this i asked last time but it didn’t some the important stuff so i’m just putting a picture ^

Answers

i think its B but i cant help much cuz i got a quiz thats due soon

R(4, 2) and S(10, 10) are the endpoints of a line segment. What is the midpoint M of that line segment?

Write the coordinates as decimals or integers.

M = (, )

Answers

M = (7,6)

Step-by-step explanation:

formula to find mindpoint is

[tex](\frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]

(4,2) = (x1, y1)

(10,10) = (x2,y2)

now substitute those into the formula!

[tex]\frac{10 + 4}{2} \frac{10 + 2}{2} [/tex]

now solve for x & y !!

[tex]x = \frac{10 + 4}{2} = \frac{14}{2} = 7[/tex]

[tex]y = \frac{10 + 2}{2} = \frac{12}{2} = 6[/tex]

so now that we have solved for x & y put it in point form and your done !!

point for is (x,y)

and thanks why the Midpoint is (7,6)

Help!!!!! Please help

Answers

Answer:

it is -2

Step-by-step explanation:

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 9
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 5
y = –3x – 11y
y = –3x + 25

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 6 ), then

6 = 1 + c ⇒ c = 6 - 1 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer:

B

Step-by-step explanation:

Based on this persons answer this is what it it

What’s the answer pls answer fast

Answers

Because you know there are 209 total seats, if there were 181 economy seats, there would be 28 first class seats.
181-28= 153
So 181 would be your answer.

Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity

Answers

inconsistent equation

Patrick is plotting points to show a relation that is not a function. Which point could be the next point that Patrick plots on the graph?

Answers

He is a starfish on the plot

Find the domain of the function expressed by the formula: y=x²+8
Please help ASAP.

Answers

Answer:

x is all real numbers.

Step-by-step explanation:

The domain of a function is a set of all real numbers.

Which one do not lie!!!!!!

Answers

Answer:

C.The equation has a positive y-intetcept

Step-by-step explanation:

def not lying

Question 3 (20 points)
Factor:
36x2 - 81y2

(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)

Answers

It is the last answer choice (6x-9y)(6x+9y)

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 36x² - 81y²

Factorize the expression, then we have

⇒ 36x² - 81y²

⇒ (6x)² - (9y)²

⇒ (6x - 9y)(6x + 9y)

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

What should be the first step in ordering fraction with different denominators

Answers

Answer:

Find the smallest multiple (LCM) stands for of both numbers.

Rewrite the fractions as equivalent fractions with the LCM as the denominator.

Step-by-step explanation:

You start at (3, 8). You move right 6 units and left 4 units. Where do you end?

Answers

Answer:

(9,12) I think  

Step-by-step explanation:

Find the distance between the points ( 1, 4 ) and ( -2, -1 )​

Answers

1- (-2) = 3
4- (-1)= 5

3/5 is the slope to find the distance

A bag contains 120 marbles. Some are red the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?

Answers

Answer:

114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

19+1= 20

20 units= 120 (Data from 1st sentence)

1 unit= 120/20= 6

19 units= 120-6= 114 (Values solved in working above)

Ans: There are 114 red marbles.

Help please, hurry​

Answers

The answer would be B

A shopper uses a department-store gift cared to pay for 3 sweaters priced at $27. What is the change in the value of the gift card?

Answers

Answer:

$81

Step-by-step explanation:

27+27+27=$81

What is 5x+2-4x+3 please I need help

Answers

Answer:

1x+5

Step-by-step explanation:

What place value is 5 in:0.05

Answers

Answer:

5 hundredths

Step-by-step explanation:

Answer:

hundreths place

Step-by-step explanation:

Math math math :D


Please help me!

Answers

2.75________________________________________

Answer:

£4.48

Step-by-step explanation:

Penolope earned $50 in may then she earned $60 in june
what percent increase or decrease in Penolope´s monthly earning

Answers

Answer:

You are correct, it is 20% increase as:

(60/50) - 1 = 0.2 = 20%

1/2x + 1/2x = x + 1 Plzzz help

Answers

There is no solution for this equation.

Answer:

this is the right answer you have.

Step-by-step explanation:

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