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A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3 cm wide, and 10 cm tall. If the company used 3900 cmof wax,
how many candles did they make?
candles

26 candles

Step-by-step explanation:

To find how many candles were made from the total wax used, we first have to calculate how much wax was used for a single candle.

To find the volume, multiply the length, width, and height of a candle.

5 · 3 · 10 = 150

The volume is 150 cm². A single candle uses 150 square centimeters of wax.

To calculate the candles made, then, divide the volume of a single candle by the total wax used, 3900 cm².

3900 ÷ 150 = 26

The company made 26 candles.

I hope this helps ·ω·  

Good luck !

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12