Point A
3/4 in fraction
.75 in decimal
and 75% in percent
Given:
x, y and z are integers.
To prove:
If
is even, then at least one of x, y or z is even.
Solution:
We know that,
Product of two odd integers is always odd. ...(i)
Difference of two odd integers is always even. ...(ii)
Sum of an even integer and an odd integer is odd. ...(iii)
Let as assume x, y and z all are odd, then
is even.
is always odd. [Using (i)]
is always odd. [Using (i)]
is always even. [Using (ii)]
is always odd. [Using (iii)]
is always odd.
So, out assumption is incorrect.
Thus, at least one of x, y or z is even.
Hence proved.
Given function : 
We need to identify a " initial amount", b "growth factor", r " rate of growth".
We know, exponential growth formula
, where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.
⇔
.
We can see a= 1.05 and b = 1.46.
Now, b=1+r.
Therefore, 1+r =1.46.
Subtracting 1 from both sides, we get
1+r-1 =1.46-1
r = 0.46.
On converting 0.46 into percentage, we get
0.46 × 100 = 46.
Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.
4 / 30 = x / 75...4 drivers to 30 sq miles = x drivers to 75 sq miles
cross multiply
(30)(x) = (75)(4)
30x = 300
x = 300/30
x = 10 <== 10 drivers for 75 sq miles
Answer:
1. What to see at the zoo
2. Does not
Can not
Does not
Step-by-step explanation:
The first list is trying to add things together that can not be added together, they should not be in the same list. The second list is correct.