Answer:
The associative property of integers does not hold true for subtraction and division of integers, as, in the case of subtraction and division, the order of the numbers is important and cannot be changed.
Step-by-step explanation:
For example, 2 - (8 - 9) = 2 - (-1) = 3. Now, if we change the order as 8 - (2 - 9) = 8 - (-7) = 15
The formula for the law of cosines is:
a^2 = b^2 + c^2 - 2*b*c*cos(angle)
In this triangle b = 7, c = 8 and angle = 32.
a^2 = 7^2 + 8^2 - 2*7*8*cos(32)
a^2 = 18.018
a = SQRT(18.018)
a = 4.24
C = 4.2 feet.
Answer: Here we have a real life multiplication situation for which an estimate make sense:-
Miley has 212 fiction books. Sharon has 3 times fiction books has many as Miley has, how many fiction books Sharon has
Solution :- Number of fiction books Miley has = 212
Number of fiction books Sharon has= 3 times 212
We know that 212 is near to 200 , so round off 212 to 200 (to the nearest hundred)
Thus the product becomes 
Therefore, the estimated number of fiction books Sharon has=600
Answer:
The cost of each:
1 cheese slice = c = $3.75
1 pepperoni slice = p = $2.5
Step-by-step explanation:
Let the cost:
1 cheese slice = c
1 pepperoni slice = p
Two friends are going to the mall to buy pizza.
One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.
c + 2p = $8.75.....Equation 1
c = $8.75 - 2p
Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.
2c + 3p = $15.00.....Equation 2
We substitute 8.75 - 2p for c in Equation 2
2(8.75 - 2p) + 3p = $15.00
17.5 - 4p + 3p = 15
Collect like terms
- 4p + 3p = 15 - 17.5
-p = -2.5
p = $2.5
c = $8.75 - 2p
c = $8.75 - 2(2.5)
c = $8.75 - 5.0
c = $3.75
The cost of each:
1 cheese slice = c = $3.75
1 pepperoni slice = p = $2.5
