Answer:
The length of each edge of the base is 7cm.
Step-by-step explanation:
The volume of a prism with square base is given by:
In which l is the length of each edge of the base and h is the height.
A prism with a square base has a height of 15cm and a volume of 735cm3.
This means that 
So
Length is a positive measure. So
Volume in cm³, so the length of each edge is in cm.
The length of each edge of the base is 7cm.
Answer:
<em>The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.</em>
Step-by-step explanation:
<u>System of Equations
</u>
Let's call
x=amount of metal alloy that is 20% copper
y=amount of metal alloy that is 70% copper
The metalworker wants to create 100 Kg of 50% copper alloy. This gives us the first relation
x+y=100
The combination of 20% of x and 70% of y will produce 50% of the sum of both, thus
20x+70y=50(x+y)
Operating
20x+70y=50x+50y
Reducing and dividing by 10
2y=3x
The system of equations is easily solved by isolating x in the first equation
x=100-y
And replacing into the last equation
2y=3(100-y)
Operating
2y=300-3y
5y=300
y=60
Thus
x=100-60=40
The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.
Answer:
w=2
Step-by-step explanation:
I'm too lazy to explain the first part but here:
3/4w=6/4
w=2
Answer:
3
Step-by-step explanation:
The two numbers are 3 and 7, and 3 is the smaller one
The answer to this question is 3.15
maybe XD
