Answer:
The two numbers are -419 and -2095.
Step-by-step explanation:
5x=y
x-y=1676
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x-5x=1676
-4x=1676
x=1676/-4
x=-419
5(-419)=y
y=-2095
I’ll follow you, but on what?
ig?
<h3>
Answer: Choice C</h3>
The surface area of the pyramid is multiplied by 100.
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Explanation:
Consider a square that is 3 by 3. Its area is 3*3 = 9.
Then we'll multiply each dimension by 10 to get a 30 by 30 square. The new larger area is 30*30 = 900. The jump from the old area (9) to the new area (900) is "times 100". We can write 100 as 10^2, where the base of that exponential is the scale factor 10.
This idea can apply to any surface area and not just squares. This is why the surface area of the enlarged pyramid is 100 times that of the original pyramid.
new surface area = 100*(old surface area)
Answer:
- 891 = 3^4 · 11
- 23 = 23
- 504 = 2^3 · 3^2 · 7
- 230 = 2 · 5 · 23
Step-by-step explanation:
23 is a prime number. That fact informs the factorization of 23 and 230.
The sums of digits of the other two numbers are multiples of 9, so each is divisible by 9 = 3^2. Dividing 9 from each number puts the result in the range where your familiarity with multiplication tables comes into play.
891 = 9 · 99 = 9 · 9 · 11 = 3^4 · 11
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504 = 9 · 56 = 9 · 8 · 7 = 2^3 · 3^2 · 7
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230 = 10 · 23 = 2 · 5 · 23
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<em>Comment on divisibility rules</em>
Perhaps the easiest divisibility rule to remember is that a number is divisible by 9 if the sum of its digits is divisible by 9. That is also true for 3: if the sum of digits is divisible by 3, the number is divisible by 3. Another divisibility rule fall out from these: if an even number is divisible by 3, it is also divisible by 6. Of course any number ending in 0 or 5 is divisible by 5, and any number ending in 0 is divisible by 10.
Since 2, 3, and 5 are the first three primes, these rules can go a ways toward prime factorization if any of these primes are factors. That is, it can be helpful to remember these divisibility rules.