Mathematics Middle School

how do I find circumference

Answers

Answer 1

Given the radius (r) or diameter (d), you can find the circumference using:

C=2pi•r
or
C=pi•d

Related Questions

Which ratio is not equivalent to the other three? A. 2/5 B. 12/25 C. 6/15 D. 18/45.

Answers

b.
because 2/5=.4
12/25=.48
6/15=.4
18/45=.4

The answer would be answer choice B

Please help ASAP! And please show steps or explain!

Answers

first put 3 out of the way then divide 100 by 16.666666 then you should get around 3 1/6

There is one repeating digit, so we effectively multiply and divide by 10^1 -1 = 9. (The exponent of 10 here is the number of repeating digits.)

[tex]10 \times 3.1\overline{6} - 3.1\overline{6} = 31.6\overline{6} -3.1\overline{6} = 28.5 = 9 \times 3.1\overline{6}[/tex]

Then you have
[tex]3.1\overline{6} = \dfrac{28.5}{9} = \dfrac{285}{90} = \dfrac{19}{6}[/tex]

The equivalent fraction is 19/6.

Need help please, pt 4 Thanks!

Answers

Hello,
Please, see the attached files.
Thanks.

Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points

Answers

1. First, we are going to find the area of the sheet of plywood. The sheet of plywood is a rectangle, so to find its area, we can use the formula for the area of a rectangle: [tex]A=wl[/tex]
where
[tex]A[/tex] is the area
[tex]w[/tex] is the width
[tex]l[/tex] is the length
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so [tex]w=24[/tex] and [tex]l=48[/tex]. Lets replace those values in our formula:
[tex]A=wl[/tex]
[tex]A=(24)(48)[/tex]
[tex]A=1152[/tex] square inches

Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism: [tex]A=2(wl+hl+hw)[/tex]
where
[tex]A[/tex] is the surface area
[tex]w[/tex] is the width
[tex]l[/tex] is the length
[tex]h[/tex] is the height
We already know those values, so lets replace them:
[tex]A=2(5*5+8*5+8*5)[/tex]
[tex]A=210[/tex] square inches

Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.

2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.

gene bakes 10 loaves of bre for the party. He needs 4 cups of milk for each loaf. How many quarts of milk does he need to make all of the loaves?

Answers

She needs 40cups to make 10 loaves

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity. Unit rate is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has.

13(1/3) can be written as,

= 13(1/3)

= 40/3

Each loaf requires 3 and four-fifths cups of flour.

This can be written as,

3(4/5) cups of flour = 1 loaf

19/5 cups of flour = 1 loaf

Multiply 5/19 on both sides.

1 cup of flour = 5/19 loaf

Multiply 40/3 on both sides.

40/3 cups of flour = 40/3 x 5/19 loaf

40/3 cups of flour = 3.5 loaf

This means we can make 4 loaves.

Thus,

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

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complete quesrtion:

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake? 3 loaves of bread 4 loaves of bread 50 loaves of bread 51 loaves of bread

The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width

Answers

let
x--------> the length of the screen of the TV
y--------> the width of the screen of the TV

we know that
perimeter of the screen=2*[x+y]
perimeter=180 cm
180=2*[x+y]-----> 90=x+y--------> equation 1

x/y=16/9------>x=(16/9)*y-----> equation 2

substitute the equation 2 in equation 1
90=[(16/9)*y]+y----------> (25/9)*y=90------> y=32.4 cm
x=(16/9)*32.4-----> x=57.6

the answer is
the length of the screen of the TV is 57.6 cm
the width of the screen of the TV is 32.4 cm

Given the figure below, find the values of x and z.

Answers

[tex](13x-85)^o=97^o\\\\13x-85=97\ \ \ |+85\\\\13x=182\ \ \ |:13\\\\x=14[/tex]

[tex]z^o+97^o=180^o\ \ \ |-97^o\\\\z^o=83^o[/tex]

Answer: x = 14; z = 83

Answer:

x = 14; z = 83 hope this helps u

10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work.

Answers

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

What is the value of x in the triangle ?

Answers

142.33 should be correct.

Which is not a factor of 56? A. 4 B. 8 C. 14 D. 26

Answers

Divide each by 56. If you get a number with a decimal that’s your answer

26 is not a factor of 56

Kim spent $26 on a magazine and 6 notepads have the magazines cost $2 then how much was each Notepad

Answers

The answer is $4 per notepad.

First you subtract the $2 from the total of $26 to get $24 for all the Notepads together, then you divide the $24 by the number of notepads. 24 divided by 6 equals 4. So each notepad cost $4.

The circle has a radius of 3 cm. What is the area of the circle?
A. 9.42 cm2
B. 56.52 cm2
C. 18.84 cm2
D. 28.26 cm2

Answers

you would do
3.14*r^2
which is 3
r=3
what you do is
3.14*3*3 which is 28.26cm^2 which is D

Answer:

D: 28.26

Step-by-step explanation:

Mrs. Thomas is preparing a lunch for a group of students.

A can of juice has a radius of 4 cm and a height of 11 cm.
Mrs. Thomas knows she needs at least 5,100 Cm^3 of juice.

How many cans of juice will Mrs. Thomas need to buy?

Answers

Volume for a cylinder- V= πr^2h (pi multiplied by r squared times h)

V=π4^2(11)
V= (approximately) 552.92 cm cubed

5100/552.92= (approximately) 9.2 cans

To determine the number of cans of juice Mrs. Thomas needs to buy, calculate the volume of juice in one can and then divide the total required volume by the volume of one can. Mrs. Thomas will need to purchase at least 10 cans of juice.

To find out how many cans of juice Mrs. Thomas needs to buy, we need to calculate the volume of juice in one can first.

We use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.Calculate the volume of one can: V = 3.142 x (4 cm)² x 11 cm = 554.632 cm³.Divide the total volume needed by the volume of one can: Number of cans = 5,100 cm³ / 554.632 cm³ = 9.19.

Since you can't buy a fraction of a can, Mrs. Thomas will need to buy at least 10 cans of juice.

(3.) Would you be able to tell how much temperature rose since 6 A.M? Why or why not?

Answers

hmm since it only rose one degree then went down 6 id say around -5* (star is supposivly the degree sign)

a trapezoid with an area of 166.75 in has bases that measure 21 in and 8 in find the height of the trapezoid

Answers

The usual equation for a trapezoid is base1+base2/2 * height. For this, 21+8/2 equals to 166.75. Use division, and your height is 11.5

The area of trapezoid is calculated as -

Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]

Here, a = base 1

b = base 2

Height is the height of trapezoid.

It is given that,

Area of trapezoid = 166.75 in

Base 1, a = 21 in

Base 2, b = 8 in

Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]

166.75 in = [tex] \frac{21 in + 8 in}{2} X height [/tex]

Height = [tex] \frac{ 166.75 in}{14.5}

Height = 11.5 in

Thus, height of trapezoid = 11.5 In

Find the value of x in each of the following:
[tex] \sqrt[3]{27} = \: x[/tex]

[tex] \sqrt[3]{x} = \frac{1}{4} [/tex]

[tex] \sqrt[3]{ \frac{1}{512} } = \: x[/tex]

[tex] \sqrt[3]{x} = 11[/tex]

Please explain how you got your answer(s), thanks!

Answers

the first one: x is 3 because 3 x 3 x 3 is 27
the second one: x is 1/64 because the denominator, 4, to the power of 3 is 64. Anything rad 1 will always be 1, ∛64 is 4.
the third one: x is 1/8 because 8 x 8 x 8 which is the same thing as 8^3 is 512.
∛1/512 (1 divided or multiplied by 1 is always going to be 1)
the fourth one: x is 1331, I know this because I did, 11 x 11 x 11 to get 1331.
Let me know if this doesn't make sense

how do you do application of linear equations

Answers

You can use linear equations if something is being raised or decreased with the same linear function. Such as temperature or the amount of books that get sold.

Isabella and Mateo each collect beautifully polished rocks. The weights, in ounces, of their rocks are listed below.

Which statistical measure could be used to support the claim that Mateo’s rocks generally weigh more than Isabella’s rocks?

Question 7 options:

A) mean

B) median

C) mode

D) range

Answers

In order to answer this question we have to find all the 4 measure, Mean, Median, Mode and Range of both data sets.

1) For the Rocks of Isabella:

Mean = (Sum of all numbers)/Total numbers
So, Mean weight of Isabella's Rocks = 7.64

Median is the central value.
So, Median weight of Isabella's Rocks = 6

Mode is the most frequently occurring value.
So, Mode weight of Isabella's Rocks = 8.75

Range = Maximum - Minimum
So, Range weight of Isabella's rocks = 13.75

2) For Mateo's Rocks:

Mean = 8
Median = 6
Mode = 8
Range = 14.75

From the above data, we can see that the Range of Mateo's Rocks is more as compared to the Isabella's Rocks.

Thus, Range can be used be used to support the claim that Mateo’s rocks generally weigh more than Isabella’s rocks.

So option D is the correct option

the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt hour. A 6000 watt convection oven operates for 10 minutes for 15 cents at a cost of 7.5 cents per kilo-watt hour. what is the cost of cooking two meals if each meal takes 70 minutes to make?

Answers

Final answer:

The cost of cooking two 70-minute meals on a 6000-watt appliance with a kilo-watt rate of 7.5 cents will be roughly $1.05.

Explanation:

Your question relates to the calculation of the cost of running an appliance based on its power, time of use, and the cost per kilo-watt hour. When evaluating power and energy consumption, we use an equation for energy, which states that E = Pt, where E is the energy (in kilo-watt hours), P is the power (in kilo-watts), and t is the time (in hours).

First, to find the cost, we need to convert everything to respective units. The 6000 watts is equivalent to 6 kilowatts (kw), and 10 minutes is equivalent to 10/60 or approximately 0.167 hours. The cost per kilo-watt hour is 7.5 cents.

The energy consumed would thus be E = Pt = (6kw)(0.167 hr)= 1kwh. The cost of running the appliance for 10 mins is (1kwh)(7.5 cent/kwh) = 7.5 cents.

To cook one meal, with a time of 70 minutes (or approximately 1.167 hours), we will have E = Pt = (6kw)(1.167 hr)= 7kwh. The cost of cooking one meal therefore would be (7kwh)(7.5 cent/kwh) = 52.5 cents.

Finally, to cook two meals, you would just double this cost, resulting in 2 * 52.5 cents = 105 cents or $1.05.

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556 multiplied by 34

Answers

556 x 34 = 18,904
Mark brainliest if this helped :D

The answer to 556 * 34 is 18,904.

what is the position of D on the number line below?

write your answer a fraction or mixed number

Answers

The position 'D' on a number line, based on the information given, is approximately one and two-thirds units, or 1 2/3, to the right of the center bottom perpendicular hash mark, often representing zero.

The position of 'D' on the number line represents the location of a particular point labeled as 'D.'

According to the provided reference, the fifth dot, presumably 'D', is about one and two-third perpendicular hash marks to the right of the center bottom perpendicular hash mark.

On a typical number line, the center bottom perpendicular hash mark often represents zero.

If each perpendicular hash mark to the right of zero denotes one unit, then 'D' would be located at 1 2/3 or 1.67 on the number line. However, without the actual number line, this remains an estimated position.

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The probable question may be:

What is the position of D below?

find the difference. express your answer in simplest form. (4r/s) - (r/s)

Answers

your answer would be 4 because r/s - r/s would be 0 so you have 4 left hope this helps you!!!!

For this case we have the following expression:
(4r / s) - (r / s)
We observe that we have the term r / s in the whole expression.
Therefore, we can draw common factor.
Rewriting we have:
(r / s) * (4-1)
(r / s) * (3)
3 (r / s)
Answer:
the difference is:
3 (r / s)

major help and if you can, please explain how you got your answer

Answers

The correct answer is: [A]: " 384 in² " .
_______________________________________________________

Explanation:
______________________________________________________
The formula for the surface area of a cube is:
______________________________________________________

→ A = 6a² ;
______________________________________________________ → in which:
______________________________________________________
  A = surface area of the cube— for which we shall solve ;
(in "square units" ; or, " in² " ; in our case) ;

a = side length = " 8 in " (given);

→ Note: A cube has all equal side lengths.

→ The "6" in the formula accounts for "6 sides" of a cube.

_______________________________________________________

→ To solve for the surface area of the cube; plug in our known value(s);
& solve; as follows:
_______________________________________________________
  → A = 6 a² ;

= 6 * (8 in)² ;

= 6 * 8² * in² ;

= 6 * 8 * 8 * in² ;

= 48 * 8 * in² ;

= 384 in² ;
_______________________________________________________
The answer is: " 384 in² " ;

→ which is: Answer choice: [A]: " 384 in² " .
_______________________________________________________

Emilio borrows $1200 from a bank with 8% simple interest per year. How much interest will he have to pay back in 2 years?

Answers

Simple Interest equation is I=p×r×t
P= is the principal amount (1200)
R= is the interest rate per year (8% or 0.08)
T= time in years (2)

I= 1200 × 0.08 × 2= 192.00

Interest is 192.00

The interest per year on the amount of money that Emillio borrowed from the bank at the rate of 8% interest is $192

Interest can be regarded as the charges that is added to the principal, usually some percentage of the principal.Principal is the amount of money that is been lent out.Rate can be regarded as the percentage increase of the principal.Time (t) can be regarded as the period that is needed to pay the money that was lent out back.

were were given rate (r) as[tex]8% = 0.08[/tex]%with[tex]interest (I)[/tex]as ?[tex]principal (P)= $1200[/tex]

From the the formula for expressing

[tex]simple interest [ I= prt][/tex]

[tex]P= principal \\ I= interest\\ r= rate[/tex]Then substitute into the formula[tex]I= (1200 * 0.08 * 2)[/tex]

[tex]= 192.00[/tex]

Therefore, the interest on the money is $192

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The vertices of a triangle are A(4,5), B(7,1), and (9,6). After reflecting over the line x = 5, what are the new coordinates? A) A'(5,6), B'(1,3), C'(6,1) B) A'(6,5), B'(3,1), C'(1,6) C) A'(5,5), B'(5,1), C'(5,6) D) A'(5,4), B'(5,7), C'(5,6)

Answers

the answer is B i just did it

Answer:

The answer is B.

Step-by-step explanation:

I took the benchmark too.

How does the volume of a cylinder change when its diameter is quadrupled?

Answers

If the radius of a cylinder is x, and the height is y, then the volume of the cylinder will be x²yπ. If every thing is quadrupled then it will be 4x and 4y, Therefore it will become (4x)²4yπ. This simplifies to 16x²4yπ, and then even further to 64x²yπ. Excluding the 64, that is the same as the original equation, so we now know that the coefficient of volume increase is 64, so the volume is 64 times greater. By the way, if you know the scale factor of change, the volume change will always be the scale factor change cubed. For area, or surface area it will be the scale factor squared. I hope this helps.

When the diameter of a cylinder is quadrupled, its volume increases by a factor of 4 because the volume is directly proportional to the square of the radius.

When the diameter of a cylinder is quadrupled, it means the diameter is multiplied by 4.

The formula for the volume of a cylinder is [tex]$V = \pi r^2 h$[/tex], where r is the radius and h is the height.

If the diameter is quadrupled, the radius would be doubled because the radius is half the diameter.

Let's denote the original radius as r and the new radius after quadrupling the diameter as 2r.

Substituting the new radius into the volume formula, we get:

Original Volume: [tex]$V_1 = \pi r^2 h$[/tex]

New Volume: [tex]$V_2 = \pi (2r)^2 h = \pi (4r^2) h$[/tex]

We can see that the new volume is 4 times the original volume [tex]($V_2 = 4V_1$)[/tex].

So, when the diameter of a cylinder is quadrupled, its volume increases by a factor of 4.

use (r,16) to solve y=2x-4

Answers

(x,y) = (r,16)

With this knowledge, plug in r for x, and 16 for y

16 = 2(r) - 4

Isolate the r, add 4 to both sides

16 (+4) = 2r - 4 (+4)

20 = 2r

Divide 2 from both sides

20/2 = 2r/2

r = 20/2

r = 10

hope this helps

let f(x)=2x^2-3x+8.what is the value of f(-4)?

Answers

f(x)=2x²- 3x + 8

f(-4) = 2(-4)² - 3(-4) + 8 = 52

Answer: 52

Nick gets out of school at 2:25pm he has a 16 minute ride home on the bus next he goes on s 30 minute bike ride then he spends 55 minutes doing homework at what time does nick finish his homework

Answers

Hi there! The answer is 4:06 pm.

Nick gets out of school at 2:25 pm.
He has a 16 minute ride home on the bus, so he'll arrive at home at 2:41 pm.

Next, he goes on a 30 minute bike ride, which will start at 2:41 pm. and thus and at 3:11 pm.

Then he spends 55 minutes doing homework, which starts at 3:11 pm. and will end at 4:06 pm.

The answer is 4:06 pm.
~Hope this helps you!

the ratio of boy to girls in 8th grade is 5 to 3 ,how many girls are there in 8th grade if there are 80 students in 8th grade

Answers

boys 5
------- = --- Note that 5+3 = 8. Thus, (5/8) of the 80 students are boys and
girls 3 (3/8) of the 80 students are girls. This comes out to 30 girls (and 50 boys) Note that 30+50=80 (students)

. Thus, the number of girls =30.

Let's denote the number of boys as 5x and the number of girls as 3x. According to the problem, the total number of students is the sum of both boys and girls:

5x + 3x = 80

Combining the terms, we get:

8x = 80

Now, solving for x:

x = 80 / 8

x = 10

Now that we know the value of x, we can find the number of girls:

Number of girls = 3x = 3 * 10 = 30

Therefore, there are 30 girls in the 8th grade.

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