Answer: 35
the age of Roberto is x (x > 3)(x ∈ N)
because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3
in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4
because In 7 years the sum of their ages will be 81 =>
x + 7 + x + 4 = 81
⇔ 2x + 11 = 81
⇔ 2x = 70
⇔ x = 70/2 = 35
=> the age of Roberto is 35
Step-by-step explanation:
a. 4 – commutative property
b. 5 – commutative property
c. 0 – identity property
d. 4 – associative property
_____
The commutative property lets you swap the order: (a) + (b) = (b) + (a).
The associative property lets you change the grouping: (a+b)+c = a+(b+c).
The identity property lets you add 0 without changing anything: (a) +0 = (a).
Answer:
A, it will decrease by 90.
Step-by-step explanation:
If the number is 92,320 and you interchange 2 and 3, you would get 92,230. 320-230 equals 90, therefore giving you the answer.
As we know the volume of a prism is the product of height and base are
H(x)= height, A(x)= Base area
Thus,
When volume = height(base area )
V(x)= A(x) · H(x)
= (x²-2)(5)
= 5(x² -2)
