We know that
<span>8 machines in the factory could make all the bottles in 5 days
so
100%-----------> 5 days
1 day------------> 100%/5------> 20% with 8 machines
1 machine work at the rate-------> 20%/8-----> 2.5% per day
day 1---------> </span><span>4 machines are used to make the bottles-----> 4*2.5%---> 10%
</span>day 2--------> 4 machines are used to make the bottles-----> 4*2.5%---> 10%
day 3-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 4-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 5-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 6-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
<span>total work in 6 days=[10+10+20+20+20+20]------> 100%
the answer is
6 days
</span>
6,256 is the answer to the question.
Answer:
120cm³
Step-by-step explanation:
V=w·h·l=5·3·8=120cm³
Answer:
The rug should be 15 ft wide and 28 ft long.
Step-by-step explanation:
I have attached a figure that represents the situation.
The the rug is 
by 
, the width of the strip of floor is 
.
We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that
<em>(this says the area of the rug must be 420 square feet)</em>
From the figure we see that
Therefore,
We expand this equation and get:
using the quadratic equation we get two solutions:
since the second solution, namely 
, is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take 
to be our solution.
Now we find the dimensions of the rug:
The rug is 15 ft wide and 28 ft long.
Answer:
see below
Step-by-step explanation:
(2 · x) · 6 = 2 · (x · 6) → Associative property of multiplication, this property states that (a · b) · c = a · (b · c), basically, it doesn't matter what order you multiply in, the result will always be the same.
3(3x + 2) = 9x + 6 → Distributive Property, this property states that a(b + c) = a · b + a · c.
(7 + 1) + 5 = 5 + (7 + 1) → Commutative property of addition, this property states that a + b = b + a which means that you can "flip" or "switch the positions of" the quantities being added and you will still get the same result.
(7 · x · 3) = (7 · 3 · x) → Commutative property of multiplication, just like the commutative property of addition, this states a · b = b · a, in other words, you can "flip" or "switch the positions of" the quantities being multiplied and you will get the same result.
(9 + 2) + 3 = 9 + (2 + 3) → Associative property of addition, just like the associative property of multiplication, this property states that (a + b) + c = a + (b + c), in other words, it does not matter which order you add in, the result will always be the same.
