Area of 3400 decreases by 7.25%.
Rewrite 7.25% as a decimal.
This leads to 0.0725.
So, (3400)(0.0725) = 246.5.
Now (246.5)(13 years) = 3,276.
The area after 13 years will be
3,276 km^2.
Let p represent the quantity of plates
Let c represent the quantity of cups
Cook 1: 4p + 5c = 25.25
Cook 2: 7p + 3c = 25.50
Use elimination method to solve:
-3(4p + 5c = 25.25) → -12p -15c = -75.75
5(7p + 3c = 25.50) → 35p +15c = 127.50
Add the equations: 23p + 0c = 51.75
Divide by 23 to solve for p: p = 2.25
Answer: the cost of plate is $2.25
This is just a cylinder, with a cone and half of a sphere carved out of it.
Just find the volume of the cylinder, then subtract the volume of the cone and the volume of the half-sphere from it, and you'll have the volume of the part that's left.
Now I'll tell you why this problem was assigned: The purpose is
to give you an opportunity to recall the formulas for the volumes
of these three shapes. To hep you recall them, here they are:
Volume of a cylinder = (pi) (radius of the round end)² (length)
Volume of a cone= (1/3) (pi) (radius of the round end)²
Volume of a whole sphere= (4/3) (pi) (radius of the whole sphere)³
Notice that in the weird contraption in the picture, the cylinder,
the cone, and the half-sphere all have the same radius.
---------------------------------------------------------------------
Divide by 2/3 on both sides :
---------------------------------------------------------------------
---------------------------------------------------------------------
Change the divide fraction to multiplication fraction :
---------------------------------------------------------------------
---------------------------------------------------------------------
Simplify :
---------------------------------------------------------------------
---------------------------------------------------------------------
Square root both sides :
---------------------------------------------------------------------
---------------------------------------------------------------------
Answer :
---------------------------------------------------------------------
---------------------------------------------------------------------
Answer: The smallest possible value of x is -6---------------------------------------------------------------------
Answer: a=2/5b + 1/5c (I may have answered your question but idk if I did)
Step 1: Add -4a to both sides.
9a−2b+−4a=4a+c+−4a
5a−2b=c
Step 2: Add 2b to both sides.
5a−2b+2b=c+2b
5a=2b+c
Step 3: Divide both sides by 5.
5a/5=2b+c/5
a=2/5b+1/5c