Answer:
and then we have:
Step-by-step explanation:
From the info given by the problem we need an integer defined as the smallest positive integer that is a multiple of 75 and have 75 positive integral divisors, and we are assuming that 1 is one possible divisor.
Th first step is find the prime factorization for the number 75 and we see that
And we know that 3 =2+1 and 5=3+2 and if we replace we got:
And in order to find 75 integral divisors we need to satisify this condition:
such that 
For this case we have two prime factors important 3 and 5. And if we want to minimize n we can use a prime factor like 2. The least common denominator between 2 and 4 is LCM(2,4) =4. So then the need to have the prime factors 2 and 3 elevated at 4 in order to satisfy the condition required, and since 5 is the highest value we need to put the same exponent.
And then the value for n would be given by:
and then we have:
Answer:
y = 5x
Step-by-step explanation:
X=5 and Y=1
Direct variation can be represented by the equation y=kx.
Therefore,
1 = k(5)
5 = k
Now you use, k = 5 to write the direct variation equation.
Which gives you the answer y = 5x
Answer:
y = 5
Step-by-step explanation:
<u>Step 1:</u>
(18) -7y = -17
-18 -18
<u>Step 2:</u>
-7y = -35
÷-7 ÷-7
y = 5
Area of a triangle = 1/2 x base x height
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Find Height :
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3.75 = 1/2 x 2.5 x height
3.75 = 1.25 x height
height = 3.75 ÷ 1.25
height = 3 meters
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Answer: The height is 3 meters.
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Answer:
27 & 72
Step-by-step explanation:
3*24=72 and 3*9=27 so they are both divisible by 3 and also if you subtract 24 from 72 you get 45. get it now?
