Use algebra.
Let the number of stickers each had in the beginning = x stickers.
Ray lost 10 we represent this by
x - 10 ( = no. stickers he has now)
Tom bought 200 so the number of stickers he now has
= x + 200
Rays has 1/4 as much as Tom so we can now create the equation
1/4(x + 200) = x - 10
Soling for x:-
1/4 x + 50 = x - 10
60 = 3/4 x
x = 60 * 4/3 = 80
Answer they had 80 stickers at first.
Answer:
We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:
1 1/8x + 3/4x + 5/8x = 20
2 1/2x = 20
x = 8 which means that the stylist needs 1 1/8 * 8 = 9 oz red, 3/4 * 8 = 6 oz gray and 5/8 * 8 = 5 oz brown.
That does not make sense sorry :(
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
