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??!!     Any number mod 24 is going to lie in the range 0 to 23    !!

You missed a minus sign on the 2x gobromash.

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Hmm!

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Multiply icecream flavor by 3 and then add the values. For example, 3 chocolates sold, each is 3 $, which comes out as

3x3 = 9$ made on chooclate for day 3.

Alright why not I'll try this one...

Assuming this is the question:

3(2x+1)(-x+3) - (2x+5)² = -[ - { -3(x+5) } + 10x²]

(6x+3)(-x+3) - (2x+5)(2x+5) = -[ - { -3x-15 } + 10x²]

(-6x² + 15x + 9) - (4x² + 20x + 25) = -[ 3x + 15 + 10x²]

-6x² + 15x + 9 - 4x² - 20x - 25 = -3x - 15 - 10x²

-10x² - 5x - 16 = -3x - 15 - 10x²

-5x - 16 = -3x - 15

-5x = -3x + 1

-2x = 1

x = -1/2

The diagonal should form the hypotenuse of a right triangle.

You can just use the pythagorean theorem to find the hypotenuse of a right triangle.

a² + b² = c²

^{(If it is a square, a=b, but that doesn't really matter.)}

\(\frac{62}{50}=\frac{x}{100} \\~\\ \frac{62*100}{50}=x \\~\\ \frac{6200}{50}=x \\~\\ 124 = x\)

124%

\(\frac{n}{4}-5=36\)

The main thing you have to remember is whatever you do to one side of the equation, you must do to the other side to keep the equation true.

-6 - 3y = 27

Add 6 to both sides. The 6 on the left side goes away when you add 6.

-3y = 27 + 6

-3y = 33

Divide both sides by -3. The -3 on the left side goes away when you divide by -3.

y = 33/(-3)

y = -11         Now it is solved for y. :)

The factors of 6 are: 1, 2, 3, 6

The factors of 11 are: 1, 11

The factors of 5 are: 1, 5

Ohhh...

slope = change in rise / change in run

slope = (0 - -2) / (-6 - 2)

slope = (2) / (-8)

slope = -1/4

y = mx + b,         where m is slope and b is the y-intercept.

Just plug in what you know and solve for b.

0 = (-1/4)(-6) + b

-b = 3/2

b = -3/2

A ratio is a fraction :P Look it up if you dont know what it means btw

-(-2x+10)-8<-28

2x-10-8<-28

2x-18<-28

2x<-10

x<-5

Thanks for telling me i missed a negitive sign! (I don't know how i forgot it XD)

The smallest positive integer n =3

Multiplt by 100 then tack on a % sign.

0.32*100 = 32

0.32 = 32%

arctan (6 / 11 )  ≈  28.61°

4 log 2   /    2 log 4   =

log 2^4 /  log 4^2   =

log 16 / log 16   =

1

\(\frac{\text{central angle of sector}}{\text{2pi radians}}=\frac{\text{area of sector}}{\text{area of circle}} \\~\\ \frac{5\pi /4}{2\pi}=\frac{\text{area of sector}}{\pi(8^2)} \\~\\ \frac{5}{8}=\frac{\text{area of sector}}{(3.14)(64)} \\~\\ \frac{5}{8}=\frac{\text{area of sector}}{200.96} \\~\\ \frac{5(200.96)}{8}=\text{area of sector} \\~\\ 125.6=\text{area of sector}\)

125.6 square feet

The area, A, is given by :

A  =  (1/2)(r^2) (theta)     so we have

A  =  (1/2) (8^2) (5 *3.14)/4  =

(1/8) (8^2) * 5 * 3.14   =

8 * 5 * (3.14)  =  125.6 sq ft

First let's find just the volume of the cylinder.

cyl. volume = (area of base) * (height)

cyl. volume = (3.14 * 8²) * (12)

cyl. volume = 3.14 * 64 * 12

cyl. volume = 2,411.52 cubic feet

Second let's find just the volume of the cone.

cone volume = (1/3) * (area of base) * (height)

cone volume = (1/3) * (3.14 * 8²) * (6)

cone volume = (1/3) * 3.14 * 64 * 6

cone volume = 401.92 cubic feet

Third  let's add the volume of the cylinder and the volume of the cone together.

2,411.52 cubic feet + 401.92 cubic feet = 2,813.44 cubic feet

It can hold 2,813.44 cubic feet of grain. :)

From here to the moon it is 384 400 km

So multiply that by six

2 306 400 km

It's 2 306 400 km from here to the moon six times

Pearls are sphere shaped, so we will use the formula for the volume of a sphere.

\(V = \frac43\pi r^3\)

The only question is what is r? What is the radius?

Well, the pearle is 7.5 mm round. I think this means that the circumference is 7.5 mm.

And

circumference = 2* π * radius

so

7.5 mm = 2* π * radius

7.5 mm / (2π) = radius

3.75/π mm= radius

Now we know the radius. Just plug this into the formula for the volume of a sphere.

\(V = \frac43\pi(3.75/\pi)^3 \\~\\ V = \frac{4\pi*3375}{3*\pi^3*64} \\~\\ V = \frac{1125}{16\pi^2}\approx7.124\)