Make use of prime factorizations:
Both terms have a common factor of 
:
- - -
The second one is not true! We can write
Both terms have a common factor of 
:
Since 
, and 
, we'd still have to show that 
is a multiple of 6. This is impossible, because 
and there is no multiple of 2 that can be factored out.
<span><span /><span>In Comparing 2 underlined numbers which is 3, we
need to find its place value In order to be able to find the difference of each
given numbers.
First is 6<u>3</u>00 => 6000 + 300 or may also say as 6 thousands + 3
hundreds
therefore the value of underlined number is hundreds
next, 5<u>3</u>0 => 500 + 30 or may also say as 5 hundreds + 3 tens.
Therefore, the value of underlined number tens.
Thus, the difference between the 2 underlined numbers is, the first given digit
falls at hundreds place and the second is in tens place.</span></span>
Answer:
1, 120
Step-by-step explanation:
3.2 x 107 = 342.4
+ 7.2 x 108 = 777.6
_____________________
1, 120
There are 10 possible digits and 26 possible letters.
To find the answer to this problem we have to multiply 9 as many digits has the hotel reservation number and 26 as many letters it has.
It means:
There are 1,119,214,746 possible reservation numbers.
Answer:
d = 200 miles
t = 1.5 hrs after start
Step-by-step explanation:
Set the origin at car a starting point.
equation for distance to car b
x = 250 - 60t
equation for distance to car a
y = 80t
distance between car a and car b
d = √((250 - 60t)² + (80t)²)
d = √(62500 - 30000t + 3600t² + 6400t²)
d = √(62500 - 30000t + 10000t²)
d = 100√(6.25 - 3t + t²)
setting the derivative to zero
0 = 100t - 150 / √(t² - 3t - 6.25)
The denominator cannot be zero, so the numerator must
0 = 100t - 150
150 = 100t
t = 1.5 hrs
d = √((250 - 60(1.5))² + (80(1.5))²)
d = √(160² + 120²)
d = 200 miles
