Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:

From equation 1:

Putting the value of y in equation 2

Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation

Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
Answer:
6πm³
Step-by-step explanation:
To work out the volume of a cylinder, use the formula πr²h
Next, substitute the known values into the equation (remember that the radius is half of the diameter):
volume = π × 1² × 6
The volume of the cylinder is 6πm³
Hope this helps!
Answer:
B. 28.26
Step-by-step explanation:
First you have to find the circumference:
R²= 3²=9
Then you multiply your circumference by 3.14 to get you answer:
9·3.14=28.26
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Step-by-step explanation:
We shall expand the brackets;
(x + 2)^6
x⁶ + x⁵2 + x⁴2² + x³2³ + x²2⁴ + x2⁵ + 2⁶
x⁶ + 2x⁵ + 4x⁴ + 8x³ + 16x² + 32x + 64
We shall then use Pascal’s triangle to fit in the coefficients;
(1) x⁶ + (6) 2x⁵ + (15) 4x⁴ + (20) 8x³ + (15) 16x² + (6) 32x + (1) 64
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64