Mathematics Middle School

Which of the following is the best estimate of the circumference of a circle that has a diameter of 7 feet?

11 ft
14 ft
42 ft
21 ft

Answers

Answer 1
Circumference of a circle = (3.14)d
d = 7

C = (3.14)(7)

C = 21.99

So the answer is D. 21 ft
Answer 2

Answer:

The best estimate of the circumference of a circle is 21 ft.

Step-by-step explanation:

Formula

[tex]Circumference\ of\ a\ circle = 2\pi r[/tex]

Where r is the radius of a circle.

As given

Diameter of 7 feet .

[tex]Radius = \frac{7}{2}[/tex]

Radius = 3.5 feet

As

[tex]\pi = 3.14[/tex]

Put in the formula

[tex]Circumference\ of\ a\ circle = 2\times 3.14\times 3.5[/tex]

Circumference of a circle = 21.98 ft .

Therefore the best estimate of the circumference of a circle is 21 ft.

Related Questions

Answer ALL questions if u cant see all the answers its fine all u need is the question

Answers

For the triangle question, it should probably be A. Sorry if it's wrong.

Which graph represents the solution to the system of inequalities?

x + y ≤ 4

y – x ≥ 1

Answers

ANSWER

The correct answer is C.

EXPLANATION

To find which set represents the solution set of the system of inequalities, the best thing is to graph the inequalities and locate the intersection of the solution region of the two graphs.

The given inequalities are,

[tex]x + y \leqslant 4 \: \: and \: \: y - x \geqslant 1[/tex]

Let us start with,

[tex]x + y \leqslant 4[/tex]

To graph this inequality, we first of all graph the corresponding linear equation,

[tex]x + y = 4[/tex]

using the intercepts,
[tex](0,4) \: and \: (4,0)[/tex]

We plot the above points and draw a solid straight line through them.

We test for the origin to determine which half plane should be shaded.

[tex]0 + 0 \leqslant 4[/tex]

[tex]0 \leqslant 4[/tex]

This statement is true, so we shade the lower half plane.

We repeat the same process to graph,

[tex]y - x \geqslant 1[/tex]

So we graph the corresponding straight line,

[tex]y - x = 1[/tex]

using the intercepts,

[tex](0,1) \: and \: (-1,0)[/tex]

We plot the intercepts and draw a solid line through them.

We test for the origin again to see which half plane to be shaded.

[tex]0 - 0 \geqslant 1[/tex]

[tex]0 \geqslant 1[/tex]

This statement is false, so we shade the
upper half plane.

The intersection of the two region is the region in option C of the graphs provided.

ANSWER BOTH QUESTIONS IF U CANT SEE THE CHOICES ITS FINE! ALL U NEED IS THE QUESTION

Answers

12. 
Area of a triangle = (bh)/2
Counting the squares in the figure, the base (bottom) of the triangle looks to be about 8. The height looks like 5.
b = 8
h = 5
A = (8*5)/2
A = (40)/2
A = 20
So the closest answer would be
A. 21.5 square units

13.
Area of a trapezoid = [(b₁ + b₂)/2]h
b₁ = 3
b₂ = 9
h = 6
A = [(3 + 9)/2]6
A = [12/2]6
A = (6)6
A = 36
Since I can't see the answer choices, it would be the closest number to 36.

Answer:

12 and 13

Step-by-step explanation:

HELP PLEASE ASAP!!!!!!!!!!!!

1. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6

2. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:

Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12

Which of these is most likely the next step?

2m = 3
2m = 8
2m = 16
2m = 18

3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?

Two
Many
None
One

Answers

1. Step 2 : 6x - 8 = 12 + 2x
2. 2m = 8
3. Two

Answer:

Step 2; 6x − 8 = 12 + 2x

Step-by-step explanation:

Step 1: Write the equation

Step 2: Apply distributive property to the left side and sum the constants to the right side

Step 3: Subtract 2x from both sides and add 8 to both sides:

Step 4: Divide both sides by 4:

Nick has two more than twice as many quarters as dimes.. one fewer than three times as many nickels as dimes, and eight more pennies than dimes.. he has $7.37. How many of each coin does he have?

Thank you so much :)

Answers

Let's say we have x dimes.
This would mean we have:
(2x + 2) quarters,
(3x - 1) nickels and
(x + 8) pennies
The total value is 737 cents ($7.37)
We can thus say that if we multiply the number of each type of coin by the value of that coin and add it all, we will get 737, so we can write an equation:
10x + 25(2x + 2) + 5(3x - 1) + x+8 = 737
And if we tidy this up by multiplying out the brackets and collecting like terms, we get:
76x + 53 = 737
Now, solve for x:
76x = 684
x = 9
So by subbing into the expressions constructed at the start, we find how many of each coin we have:
9 dimes,
(2(9) + 2) quarters,
(3(9) - 1) nickels and
((9) + 8) pennies.
so... 9 dimes, 20 quarters, 26 nickels and 17 pennies.

How many groups of 100 pennies are in 100 pennies

Answers

1.. 100 divided by 100 is 1.
There is 1 group in 100 pennies.

If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon

Answers

Because weight = mass x surface gravity, multiplying your weight on Earth by the numbers above will give you your weight on the surface of each planet. If you weigh 150 pounds (68 kg.) on Earth, you would weigh 351 lbs. (159 kg.) on Jupiter, 57 lbs. (26 kg.) on Mars and a mere 9 lbs. (4 kg.)

Answer:

Mars: [tex]\Delta W = 144\,lbf[/tex], Moon: [tex]\Delta W = 199.2\,lbf[/tex]

Step-by-step explanation:

The gravitational acceleration experimented by the same person on the Moon is equivalent to a sixth of the indicator on Earth and the same indicator on Mars is about 40 % of the terrestrial acceleration. Then, the difference in weight are computed below:

Mars:

[tex]\Delta W = (1 - 0.4) \cdot (240\,lbf)[/tex]

[tex]\Delta W = 144\,lbf[/tex]

Moon:

[tex]\Delta W = (1 - 0.17) \cdot (240\,lbf)[/tex]

[tex]\Delta W = 199.2\,lbf[/tex]

Aldora decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a joining fee of $100 and a monthly fee of $36. If x represents the number of months that Aldora is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:

100 + 36x = C

Aldora has allocated a maximum of $352 to spend on her gym membership. Which number line shows the possible number of months that Aldora can be a member of the gym?

I CANT PUT THE GRAPHS UP BUT I HOPE U UNDERSTAND

Answers

From what I understand with the problem, you are only asked to find the value of x which is the number of months. So, you don't really need a graph to answer this question. Just solve this like any other problem in algebra.

100 + 36x = C, where the maximum value of C is $352
100 + 36x = 352
36x = 352 - 100
36x = 252
x = 7 months

Therefore, x should be at most 7 months.

2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open?

A 60 lbs
B.40 lbs
C 30 lbs
D.20 lbs
E 15 lbs

Answers

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

 

Therefore 40 lbs of upward force must be pushed to open the valve.

Answer: B

Final Answer:

40 lbs of upward force must be pushed to open the valve that is option B is correct.

Explanation:

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

Therefore 40 lbs of upward force must be pushed to open the valve.

Exactly 1/20 of the students in Mr.Perez's class have a bird.What Percentage of his students has a bird?

Answers

5 percent of his students have birds
We divide 1 by 20, which gives us .05.  Then we multiply it by 100, to give us 5.  The percentage of students in Mr. Perez's class that have a bird is 5%.

Luca, Zane, and Zion together sold 77 tickets for the school banquet. Luca sold 22 tickets and Zane sold 29 tickets. How many tickets did Zion sell?

A.) 11
B.) 26
C.) 51
D.) 55

Answers

22+29=51 
77-51=26 
B.26 is your answer
the answer to that is b. 26

For the equation x^2+3x+j=0 , find all the values of j such that the equation has two real number solutions. Show your work.

Answers

The solution is j<2.25, meaning all values of j less than 2.25 will provide two real solutions.

For the equation [tex]x^2+3x+j=0,[/tex] to have two real number solutions, the discriminant must be greater than 0. The discriminant, D, of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by [tex]D=b^2-4ac[/tex].

In this case, a=1, b=3, and c=j. Applying the values, we get:

[tex]D=3^2-4(1)(j)[/tex]

D=9-4j

For two real solutions, D>0. Therefore:

9-4j>0

To find the values of j, solve the inequality:

9>4j

j<9/4

Thus, all the values of j that satisfy j<2.25 will ensure that the equation x^2+3x+j=0 has two real number solutions.

A triangle has squares on its three sides as shown below. What is the value of x?

FIRST ONE GETS BRAINLIEST AND 12 PTS!!

Answers

x=10

Here's how!
Use Pythagorean theorem, which is a^2+b^2=c^2, and only applies to right triangles.
Rules: 'c' is always your hypotenuse! (Longest side) Your 'a' and 'b' are your legs (the other two sides.)

Plug in your information-
a^2+b^2=c^2
8^2+6^2=x^2

Solve!
64+36=x^2
100=x^2
(square root of 100)=(square root of x^2)
10=x
☺☺☺☺☺

A net can be folded to form a cube. The numbers on the three faces meeting at any vertex can be multiplied together. What is the smallest such product for the vertices of this cube

Answers

Folding this net, we will have this following pair of squares that are facing each other

the square with number 5 will face the square with number 10 = 5×10 = 50
the square with number 7 will face the square with number 6 = 7×6 = 42
the square with number 8 will face the square with number 9 = 8×9 = 72

The smallest product is 42


In the United States in 1990, about one person in 20 was 75 years old or older. Write this fraction as a percent

Answers

The answer to your question is 5%. You have to write it as a fraction (1/20), then divide 1 by 20 before multiplying by 100 to get 5%

The net of a square pyramid is shown below: What is the surface area of the solid?What is the surface area of the solid?


32 square inches 14 square inches 20 square inches 24 square inches 32 square inches

Answers

approximately 24 square inches. See picture

What is the length of the unknown leg in the right triangle?

Answers

The answer to your question is A.) 6 mm
By Pythagorean Theorem,
7^2 + a^2 = √85^2
49 + a^2 = 85
a^2 = 85-49
a^2 = 36
a= 6mm

Reduce the rate 210 miles per 3 hours to it's unit rate and write the miles portion of your answer

Answers

unit rate would be miles per hour

 so divide 210/3 = 70

 

210 divided by 3= 70; 70 is the unit rate

How many ways are there to choose a committee of 3 people from a group of 9 people?

Answers

C r = (n!)/(r!(n-r)!)
9 C 3 = (9!)/(3!*(9-3)!)
9 C 3 = (9!)/(3!*6!)
9 C 3 = (9*8*7*6!)/(3!*6!)
9 C 3 = (9*8*7)/(3!)
9 C 3 = (9*8*7)/(3*2*1)
9 C 3 = (504)/(6) 9 C 3 = 84

Susan starded her homework at 1:59 p.m. And finished her homework 96 minutes later. Susan had volleyball practice at 4:00p.m.
How much time did Susan have between finishing her homework and the beginning of volleyball practice ?

Answers

Susan started at 1:59 pm took 96 minutes.
60 minutes is equivalent to 1 hour so that'll make it to the time 2:59 pm and so the remaining minutes is 36, meaning she finished her assignment at 3:35 pm
so the amount of time between 3:35 pm (completion of the homework) and 4:00 pm (beginning of volleyball practice) is 25 minutes

The answer is 25 minutes

The time Susan had between finishing her homework and the beginning of volleyball practice is 25 minutes.

How much time did Susan have?

The first step is to convert the time she used to do her homework to hours and minutes.

1 hour = 60 minutes

96 minutes = 1 hour 36 minutes

Time she finished her homework = 1:59 + 1 : 36 = 3 : 35

Time she had = 4 - 3 : 35 = 25 minutes

To learn more about how to calculate time, please check: https://brainly.com/question/26290873

What is 23 percent of 134?

Answers

23% of 134....turn percent to decimal...." of " means multiply

0.23(134) = 30.82 <==
The percent is 30.82

You want to lay tile in a room of your house. The room is 12 feet by 8 feet. What is the side measure of the largest square tile that you can use to cover the whole floor so there is no overlap or cutting?

Answers

Answer: 4 feet
Tiles 4 feet by 4 feet will fill up the entire 96 sq ft area in just six tiles; three rows and two columns of them. A tile with the dimensions of 4 x 4 has an area of 16 sq ft, which divides evenly in 96 (96/16=4). 16 is the largest square that divides into 96, making it the largest square tile that can be used to cover the entire floor smoothly without cutting. The side length is 4, so the answer is 4 feet.

The side length is 4, and the side measure of the largest square tile is 4 feet.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you want to lay tile in a room of your house. The room is 12 feet by 8 feet.

Tiles 4 feet by 4 feet will fill up the entire 96 sq ft area in just six tiles; three rows and two columns of them.

A tile with the dimensions of 4 x 4 has an area of 16 sq ft, which divides evenly in 96 (96/16=4).

16 is the largest square that divides into 96, making it the largest square tile that can be used to cover the entire floor smoothly without cutting. The side length is 4.

Therefore, the side length is 4, and the side measure of the largest square tile is 4 feet.

To know more about an expression follow

https://brainly.com/question/28945393

#SPJ2

Help me plz so bad I don't want to get bad grade on this

Answers

Answer:

1. 16666666666667 2. .72727272727 3. .25

Step-by-step explanation:

all you do is divide the top number by the bottom number to get it in decimal form

Maggie's brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie?

Answers

She must be 9. 9x2=18. 18-3=15. 15+9=24. so she is 9, and her brother is 15.

Question 4 (Fill-In-The-Blank Worth 4 points)

(05.01)The new club sticker is in the shape of a triangle. It has a height of 16 inches and a base of 14 inches. The area of the club sticker is ____ square inches.

Triangle with height of 16 inches and base of 14 inches.

Answers

- The area of the club stickers is 112 square inches.

- We know this because...
1. The calculations of a triangle is... 1/2 x b(h)

2. So first, lets calculate the b(h) first, which is 16 x 14 = 224 square inches.
  - This isn't the correct answer because it is the area of a rectangle.

3. Second, lets calculate 1/2 x 224 = 112 square inches.
  - We did this calculation because we are talking about a triangle.

- So, the total square inches of the club sticker is 112 square inches.

Hope this helps! :)

Hello,

The correct answer is 112 Square Inches.

Hope this helps!!!! Happy Holidays!!!! (:

Name two integers whose product is negative.

Answers

You know that one integer is a negative integer, as the product is negative- and if the sum is zero, then the absolute value of the two integers are equal. Thus, the integers are +/- sqrt(36). or +/- 6.

Example: 6 and -6

Your welcome.

bobs burgers pays waitresses $49.50 per day ans $5 every hour that they work. sammys sandwiches pays sandwich artists $25 per day and $8.50 each hour they work. how many hours would you have to work in order to earn the same amount of money from both restaurants?

Answers

If an hour is x, you make 5x dollars at bob's burgers and 8.5x dollars at sammy's. As 49.5 and 25 are base values, we get 49.5+5x=25+8.5x. Subtracting 5x and 25 from both sides, we get 24.5=3.5x and dividing by 3, we get 24.5/3.5=x=7 hours

A city planner designs a park that is a quadrilateral with vertices at J(-3, 1), K(1, 3), L(5,-1), and M(-1,-3). There is an entrance to the park at the midpoint of each side of the park. A straight path connects each entrance to the entrance on the opposite side. Assuming each unit of the coordinate plane represents 10 m, what is the total length of the path to the nearest meter?

Answers

By definition, a quadrilateral is a two-dimensional figure that is composed of four sides. Since you are given with the coordinates of the vertices, the first logical thing to do is to plot the points in a Cartesian plane as shown in the attached picture. Next, find the midpoints of each side of the quadrilateral as denoted by the red dots. Then, create a line connecting the opposite midpoints which represents the length of the paths. 

Our first solution is to find the midpoint of each sides. This is done by taking the average of each coordinate. The equation would be:

x,midpoint = (x₁+x₂)/2
y,midpoint = (y₁+y₂)/2

So, applying the equation:

midpoint jk = (-3+1/2, 1+3/2) = (-1,2)
midpoint kl = (1+5/2, 3+⁻1/2) = (3,1)
midpoint ml = (5+⁻1/2, ⁻1+⁻3/2) = (2,-2)
midpoint jm = (⁻3+⁻1/2, 1+⁻3/2) = (-2,-1)

Next, we find the lengths of the paths by using the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Distance between jk and ml = √(⁻1-2)² + (2 - ⁻2)² = 5
Distance between jm and kl = √(3-⁻2)² + (1-⁻1)² = √29
Total distance = 5 + √29 = 10.385 units

Since the scale is 1 unit = 10 meters, the actual total length of paths is equal to:

Actual Total Distance = 10.385*10
Actual Total Distance = 103.85 meters

Solve the inequality 9(x - 3) < 4(x + 10).
x < 13/5
x > 13/5
x < 67/5
x > 67/5

Answers

9x - 27 < 4x + 40

-> 5x < 67

-> x < 67/5
the third one is the answer that x<67/5 

Michael jogs 3,520 yards every day. What is the distance in miles that he will jog in 10 days? (1 mile = 1,760 yards) How do I figure the problem? Divide 10 into 3,520?

Answers

divide 3520 by 1760 to get miles per day

3520/1760 = 2 miles per day

2 x 10 = 20 miles in 10 days

3,520 divided by ten is 352
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