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28 / 14 = LR / 4

Volume of water per hour    = 20 pi 

volume of a cylinder = pi r^2 h

                                  h is 4 meters

                                     pi r^2 4 = 20 pi

                                           r^2 4 = 20

                                             r = sqrt 5   meters

VOLUME of 6 inch yarn =   4/3 pi r³  =     4/3 pi 3³            ( notte tha r = 1/2 d = 3

                   12                                    = 4/3 pi 6^3

3^3 = 27

6^3 = 216       the 12 inch ball is   216/27 = EIGHT times bigger so you would expect she could knit 8 times the mittens

                                        One pair x 8 = 8 pair of mittens

Triangle area = 1/2 base * height

for the bottom    area = 1/2 * 6 * 7

then there are THREE sides to add in    3   *   1/2 6 * 9          add 'em up      cm ²

Since $dist((-2,2), (2,-2))=\sqrt{4^2+4^2}=4\sqrt{2}$, the area is $(4\sqrt2)^2=\boxed{32}$.

\(\frac{3x+8}{15} = \frac{4}{3}\)

\(\frac{3x+8}{15} = \frac{20}{15}\)

3x + 8 = 20

3x = 12

\(\boxed{x = 4}\)

Equivalent to https://web2.0calc.com/questions/finding-the-semi-major-axis-on-an-ellipse

65% + 25 % = 90 %

    the remainder is 10%  of which 40% were boys

x = fans in attendance  

.10 x   *   .40 = 640

x = 640 / (.1*.4) = 16 000 in attendance

Inversely proportional, i.e. $\boxed{\frac{3}{2}}$. (reciprocal of two thirds)

The sides are being multiplied by $5$, so $3x+8=4*5=20\implies 3x=12\implies\boxed{x=4}$.

From 3 miles to 4  is an increase of 2.25      so  2.25 per mile

   at 3 miles this charge would be  6.75   but there is a base charge included    8.25 - 6.75 =  1.50

So total charge is    1.50    +   2.25 * miles    =       you should be able to calculate the total charge for 5 and 6 miles now..... 

\(\frac{\text{students}}{\text{teachers}} = \frac{39}{360} \approx \boxed{0.1}\)

67*88/3+100

First, let's do 67*88 = 5896

Then, let's do 5896/3 = 1965 1/3. 

Finally, let's add 100 to it. 1965 1/3 + 100 = 2065 1/3. 

I hope this helped. :)))

=^._.^=

         Volume of prism: (2)(4)(8) = 64 ft^3

 -       Volume of cylinder: (pi)(1^2)(1) = pi

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

   Volume of water left in prism: 64 - pi ft^3

yep....sorry something happed and i resposted, the one i accidentally reposted, u answered. thank you

The radius of the cone is 1/2 the triangle's side length, so 6 centimeters. The height is 6sqrt(3) centimeters.

\(V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi \cdot (6^2)(6\sqrt{3}) = \boxed{72 \sqrt{3} \pi}\)

The largest possible value of b is 3*1 = 3.

The sum of the coordinates is 5.

Area = (square)  + 2(semicircle)

\(4 \cdot 4 + 2(\frac{\pi \cdot 2^2}{2})\)

\(\boxed{16 + 4 \pi}\)

Actually, it will go to google.com.

This is \(\frac{100}{1.3} = 76.923\).

1.3 can go into 100 76 times without going over.

surface area of cylinder = \(2 \pi rh + 2\pi r^2 = 2\pi r(2.5r) + 2\pi r^2\)

\(2\pi r (2.5r) + 2\pi r^2 = 112\pi\)

\(2r(2.5r) + 2r^2 = 112\)

\(7r^2 = 112\)

\(r = \sqrt{\frac{112}{7}} = 4 \quad \rightarrow \quad \boxed{h = 10}\)

To find side b, you have to find the ratio between both triangles.

TD/JK=9/5 or 1.8

A common error here is that you multiply side DP by the ratio.

What you actually have to do here is divide side DP by the ratio

DP=6, so 6/1.8

6/1.8= \(3.\overline3\)

T=Triangle, D=Diamond, S=Square, and C=Clover

T+T+T+T+T=D 

T can't be larger than 1 because D would be larger than 9.

So this means 1+1+1+1+1=5, which D=5

1+S+S=5

1+2S=5

2S=4

S=2

Square is equal to 2

S+D=C = 2+5=7, so C is equal to 7

T=1, D=5, S=2, C=7

I know CubeyThePenguin got a different answer, so I'm not sure if Cubey's or mine is correct :)

triangle = T, square = S, diamond = D, club = C

5T = D                . (1)

T + 2S = D         . (2)

S + D = C            . (3)

Equations (1) and (2) are equal:

5T = T + 2S

4T = 2S

2T = S

Then we can look at equation (3):

S + T + 2S = C

7S/2 = C

Every symbol is an integer from 1 to 9, so S = 7.