First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23
Answer:
V = 3591.4 cm³
Step-by-step explanation:
Volume of Sphere = 
Where r = 9.5 cm
V = 
V = 
V = 
V = 3591.4 cm³
Answer:
x>6
Step-by-step explanation:
If the circle was filled in then it would have been ≥.
1. Distribute the 6 to the 2x and the -11
12x-22+15=3x+12
2. Combine like terms
12x-7=3x+12
9x=+19
x=19/9
Part B x=19/9
Answer:
53.46
Step-by-step explanation:
Write the equation as shown:

Simply the equation using cross-multiplication

Swap the sides and divide both sides by 145

Finally, divide 7752 by 145 and round to the nearest 100th.
53.462069... ≈ 53.46
Hope this helped!