A quarter resembles a 3D figure of a cylinder. The face is the area of the base of the cylinder and the space it occupies is the volume of the cylinder. We need to find out the height of the cylinder.
Volume = Area of base•height
Volume/Area of base=height
0.60/4.64=0.12931
Round to the nearest hundred
height=0.13 cm
1) Multiply everything by 8. It clears the fractions.
It gives you 6n + 128 =16 - n
You add the -n to the other side of the equation.
It gives you 7n + 128= 16
You then subtract 128 from 16.
It gives you 7n= -112
You divide everything by 7
It gives you n=-17
Answer:
14%
Step-by-step explanation:
14% of 65 is 9.1. so 65+9.1= 74.10
Answer:
2
Step-by-step explanation:
Step 1:
- 21w + 9 + 8w = - 5w - 5
Step 2:
- 13w + 9 = - 5w - 5
Step 3:
- 7w + 9 = - 5
Step 4:
- 7w = - 14
Step 5:
14 = 7w
Answer:
w = 2
Hope This Helps :)
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
