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Thank you. :))

The rectangle has an area of 35*18 = 360. 

The semi cirlcles have an area 81pi. (9pi^2)

Our answer is 360-81pi. 

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A rectangular piece of paper with length 35cm and width 18cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value  for 3.14,\pi  and do not round your answer. Be sure to include the correct unit in your answer.

Could you include the image please?

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Try to fix the syntax next time. 

4A + 6O = 5

4A = 2

Subtract the two equations. 

6O = 3

O = .5

An orange is 50 cents. :))

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I'm gonna assume you're looking for area. 

First, you find the average of the 2 bases. (4 2/4+ 2 1/2)/2 = 3.5

Then you multiply that by the height. 3.5*6 = 21

I hope this helped. :))

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P + E = 40

P = E + 30

E + 30 + E = 40

2E = 10

E = 5

Eraser cost 5 cents. :))

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A + G = 2

A = 3G

3G + G = 2

4G = 2

G = .5

A + G = 2

G = .5

A + .5 = 2

A = 1.5

I hope this helped. :))

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7*cuberoot(x) = x + 6

343x = x^3 + 18x^2 + 108x + 216

0 = x^3 + 18x^2 + -235x + 216

0 = (x-8)(x+27)(x-1) (I'm really not sure how to factor polynomials with a degree greater than 2. Help would be appreciated)

x = 8, x = 1, x = -27 

I hope this helped. :))

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sqrt(37 + 20*sqrt3) = a + b*sqrt3 (square both sides)

37 + 20sqrt(3) = a^2 + 3b^2 + 2absqrt(3)

2absqrt(3) = 20sqrt(3)

2ab = 20

10 = ab

a^2 + 3b^2 = 37

a = 5, b = 2

:))

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Sorry to burst your bubble but this is a Math forum. If you want help in this, try something like brainly.com

Let c = number of cheesburgers and p = number of potatoes.

Then

c + p = 10

8.99*c + 7.49*p = 85.4

You now have two equations for the two unknowns.  Can you take it from here?

Look here

30 degrees

Yes, good spotting.  :)

First let's simplify the expression:
-2x² - 20x + 14x - 53 + 17 

= -2x² - 6x - 36 

Now use completing squares to change it into the form a(x + d)² + e:
\(-2x^2 - 6x - 36\)

\(= -2(x^2 + 3x + 18)\)

\(= -2(x^2 + 3x + 2.25 - 2.25 + 18) \)

\(= -2((x + 1.5)^2 + 15.75)\)

\(= -2(x + 1.5)^2 - 31.5\)

a + d + e = -2 + 1.5 + (-31.5)

               = -0.5 - 31.5

               = -32 

minimum occurs at vertex for this bowl shaped parabola

   at a value of x = - b/2a   =  - -5/(2* .7)       Use this value of 'x' in the equation to calculate the minumim value of the function

the vertex will change to  - b/2a  =  - -6 / (2 * .7)  for 'x'     and the 'y' value will be shifted down     ( it will be shifted R and downward)  

9 months is 3/4 of a year      

3/4 * x * 400 = 18      x is th interst rate per year

18/300 = x = 0.06       6%  annual simple interest

Line m has the equation y = 3x + 5. Line n has the equation y = kx - 7. Lines m and n intersect at the point (-4, -7). What is the value of k?

Hello Guest!

\(kx-7=3x+5\\ x=-4\\ -4k-7=3\cdot (-4)+5\\ -k=\frac{-12+5+7}{4}\)

\(\color{blue}k=0\)

Line m has the equation y = 3x + 5. Line n has the equation y =  - 7. Lines m and n intersect at the point (-4, -7).

  !

Kumi is 3/4 the height of Zac.

Sue is 2/3 the height of Zac.

Kumi is 15 cm taller than Sue.

How tall is Zac in centimetres?

Hello Guest!

\(k=\frac{3}{4}z\\ s=\frac{2}{3}z\\ k=s+15cm\\ \frac{3}{4}z=s+15cm\\ \frac{2}{3}z=\frac{3}{4}z-15cm\)

\((\frac{3}{4}-\frac{2}{3})z=15cm\\ \frac{9-8}{12}\cdot z=15cm\\ z=\frac{15\cdot 12}{9-8}\cdot cm\\ \color{blue}z=180cm\)

\(k=\frac{3}{4}z=\frac{3}{4}\cdot 180cm\\ \color{blue}k=135cm\\ s=\frac{2}{3}z=\frac{2}{3}\cdot 180cm\\ \color{blue}s=120cm\)

Zac is 180 centimeters tall.

  !

f ( g(x)) =    3 ( 2x+3) + 4 =

                            6x + 13 = h (x)      take it from here....

Anytime! 

Thx! 

40 square yards = 40 * (0.9144)^2 sqaure meters

= 0.83612736 * 40 = 33.4450944

So, 33.45 meters

OK