Answer:
Alex can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number
Step-by-step explanation:
We are told that Alex is drawing rectangles with different areas on a centimeter grid, and he can draw 3 different rectangles with an area of 12 cm²
We have the minimum grid length of centimeters = 1 cm, since we assume that only integers can be used.
That is to say:
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
These are the 3 different rectangles with an area of 12 cm²
Now we have to find how many rectangles Alex could draw with an area of 11 cm²
11 = 1 x 11
Therefore, only one factorization is possible. Which means that you can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number, which means only the common factor of 1 and the number itself, that is, 11.
Answer:
The required expression that represents the number of pound of coffees B is 
Step-by-step explanation:
Consider the provided information.
You want to mix two coffees in order to obtain 100 pounds of a blend.
Let x represents the number of pounds of coffee A and y represents the number of pounds of coffee B.
The obtained weight is 100 pounds.


Hence, the required expression that represents the number of pound of coffees B is 
Paula's dog : Carolos' dog = 3 : 1
The total number of ratio units is 3+1 = 4, so each one stands for (48 lb)/4 = 12 lb.
Paula's dog weighs 3·12 lb = 36 lb.
Carlos' dog weighs 1·12 lb = 12 lb.
Answer:
7.92
Step-by-step explanation:
0.99*8=7.92