Answer:
6 cups
Step-by-step explanation:
24*1/4 (1 quarter=1/4)
24/4
6 cups
To determine the answer, we need to set up equations. We do this by doing mass balances. We let
x = A alloy 25% copper
y = B alloy 55% copper
Overall Mass balance:
x + y = 100
Copper mass balance:
.25x + .55y = .43(100) = 43
SOlving simultaneously, we get:
x = 99.67 kg 25% copper alloy
y = 0.33 kg 55% copper alloy
Answer:
The two numbers are 4 and -4
Step-by-step explanation:
Turn the words into equations: let's assign one number to be x and the other to be y
x+8=y
x*y=-16
To solve, substitute the value of y in the first equation into y in the second equation.
This gives x*(x+8)=-16
Simplifying gives x^2+8x=-16
x^2+8x+16=0
(x+4)^2=0
x=-4
plug this value of x back into the first equation, -4+8=y, y is 4
Now to make sure the answer is correct: 4 is 8 more than -4, and 4*-4 does equal 16
Answer:
(b)
![V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5B%20%5Cfrac%7B%282r%29%5E2h%7D%7B3%7D%5D)
or 
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:
Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:
The volume becomes;
To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:
Open bracket;
Cancel out 4
The above can be written as:
So, we have:
or
You just simply divide 7 by 30. The answer would be 0.233333
