There is no commutative property for subtraction and division because order does matter. 6 - 5 will not give you the same answer as 5 - 6.
The difference in area between the top surfaces of the two cakes is 28.26 inches²
<h3>Area of a circle</h3>
where
r = radius
Therefore,
area of top layer = πr²
d = 2r
r = d / 2
r = 8 / 2
r = 4 inches
area of top layer = 3.14 × 4²
area of top layer = 3.14 × 16
area of top layer = 50.24 inches²
area of the bottom layer = πr²
r = 10 / 2 = 5 inches
area of the bottom layer = 3.14 × 5²
area of the bottom layer = 3.14 ×25
area of the bottom layer = 78.5 inches²
Difference in area between the top surfaces of the two cakes can be found as follows:
- 78.5 - 50.24 = 28.26 inches²
learn more on circle here: brainly.com/question/10264279
I hope this helps you
5 1/2=5.2+1/2=11/2
3.11/2
33/2
15 3/2
16,5
First, multiply 30 with 25
30 x 25 = Area
Area = 750 square yards
one bag gives you 100 square yards
Divide the two numbers
750/100 = 7.5
Since you cannot buy half a bag, you must round up
8 bags is needed
hope this helps
11. Factoring and solving equations
- A. Factor-
1. Factor 3x2 + 6x if possible.
Look for monomial (single-term) factors first; 3 is a factor of both 3x2
and 6x and so is x . Factor them out to get
3x2 + 6x = 3(x2 + 2x1 = 3x(x+ 2) .
2. Factor x2 + x - 6 if possible.
Here we have no common monomial factors. To get the x2 term
we'll have the form (x +-)(x +-) . Since
(x+A)(x+B) = x2 + (A+B)x + AB ,
we need two numbers A and B whose sum is 1 and whose product is
-6 . Integer possibilities that will give a product of -6 are
-6 and 1, 6 and -1, -3 and 2, 3 and -2.
The only pair whose sum is 1 is (3 and -2) , so the factorization is
x2 + x - 6 = (x+3)(x-2) .
3. Factor 4x2 - 3x - 10 if possible.
Because of the 4x2 term the factored form wli be either
(4x+A)(x +B) or (2x+A)(2x+B) . Because of the -10 the integer possibilities
for the pair A, B are
10 and -1 , -10 and 1 , 5 and -2 . -5 and 2 , plus each of
these in reversed order.
Check the various possibilities by trial and error. It may help to write
out the expansions
(4x + A)(x+ B) = 4x2 + (4B+A)x + A8
1 trying to get -3 here
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB
Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .
4. Difference of two squares. Since (A + B)(A - B) = - B~ , any
expression of the form A' - B' can be factored. Note that A and B
might be anything at all.
Examples: 9x2 - 16 = (3x1' - 4' = (3x +4)(3x - 4)
x2 - 29 = x2 - (my)* = (x+ JTy)(x- my)
