Answer:
48 designs
Step-by-step explanation:
Total pieces of clothes = 3
Area covered by each design on a piece of cloth = 1/16
How many types of designs can Alice embroider on the three pieces of cloth
Number of designs Alice can embroider on 3 pieces of cloth = Total pieces of cloth / area covered by each embroidery
= 3 ÷ 1/16
= 3 × 16/1
= 48
Therefore, Alice can embroidery 48 types of designs on the 3 pieces of clothes
The quotient of 12 and the product of 5 and t is:

Answer:
y = 10
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 20 when x = 4 and z = 3 , then
20 = k × 4 × 3 = 12k ( divide both sides by 12 )
= k , that is
k = 
y =
xz ← equation of variation
When x = 2 and z = 3 , then
y =
× 2 × 3 = 5 × 2 = 10
The answer to your questions is 3.12