Answer:
<em>(a), (d)</em>
Step-by-step explanation:
Answer:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
Step-by-step explanation:
Given two positive integers
and
.
To check whether
is an integer:
Condition (1):
Every factor of
is also a factor of
.

Let us consider an example:

which is an integer.
Actually, in this situation
is a factor of
.
Condition 2:
Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let


which is not an integer.
So, the answer is:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
8ft is the length of the rope on the outside of the tent. I hope its right!
Answer: 5,824 yards
Step-by-step explanation: A=lw
A = 4 x 4 x 7 x 13
A = 5824
5,824 yards
Let the planned number of parts per hour = x
<span> Then the planned number of parts for the day = 8x
</span><span> By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours.
</span><span> So he finished 6(x + 4) parts that day.
</span><span> 6(x + 4) = 8x
</span><span> 6x + 24 = 8x
</span><span> 2x = 24
</span><span> x = 12 </span>