Answer:
Caroline buys 3 packs of candles and 5 packs of holders.
Step-by-step explanation:
1.) First, find multiples of 30 by adding 30 to itself. For example, 30, 60, 90.
2.) Second, find multiples of pakcs of holders until it matches the multiples of candle packs. 18, 36, 54, 72, 90.
3.) then you find that Caroline buys 3 packs of candles and 5 packs of candle holders so she has the same amount of both.
Answer:
x = 3
Step-by-step explanation:
These angles are vertical angles. Vertical angles equals to on another but on the opposite side. Since they equal to another you do:
(10x + 1) = (12x - 5)
Add 5 on both sides:
10x + 6 = 12x
Subtract 10x on both sides:
6 = 2x
Divide 2 on both sides:
3 = x
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
The correct answer would most likely be 0.75n - 0.18n
