12. Neither
13. Even
14. Odd
Answer:
⅗
Step-by-step explanation:
12÷20 = ⅗
since the ratio is proportional
there for the ratio is still ⅗
I assume the question here is how to simplify the expression given. In simplfying we need to remember that only like terms can be added or subtracted to each other. Also, the order of solving the basic operators should be followed which is PEMDAS. First, we distribute all coefficients outside the parentheses and since there are no terms raised to a number, to be multiplied and divided, we proceed to the next operator which is addition. Before anything else, we group like terms then proceed with the addition and subtraction process.
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
First, look and compare at the decimal places in brackets ( ) .
A. (0).561 , (8).627 , (5).325 (wrong)
B. 4.(0)57, 4.(1)22, (5).008 (4.0.., 4.1.., 5.00..) least to greatest - (correct)
C. 1.(7)42 , 1.(5)58, 1.(6)71 - (wrong)
D. Greatest to least - (wrong)