b. 3 must be a factor of a or of b
c. 3 must be a factor of a and of b
please help and show work
The correct answer is:
Option: A , Option: B , Option: C , Option: D
For a set to be closed under multiplication means if two elements are taken from that set then their multiplication must also belong to the same set.
A)
The product of a perfect cube and a perfect cube.
Let a be a perfect cube of "m"
and b be a perfect cube of "n"
i.e.
Hence,
i.e.
Hence, this set if closed under multiplication.
B)
The product of 0 and 0.
when we take the product of 0 and 0 then the resultant is also zero.
Hence, this set is also closed under multiplication.
C)
The product of a whole number and a whole number.
When we multiply a whole number to a whole number then the product is again a whole number.
This set is also closed under multiplication.
D)
The product of a perfect square and a perfect square.
Let us take two elements of the set as x and y
i.e.
and
Hence,
i.e.
Hence, the set is closed under multiplication.
B. $27
C. $24
D. $16
20. The ratio of an object's weight on Earth to its weight on Neptune is 5 : 7. How much would a person who weighs 150 pounds on Earth weigh on Neptune?
A. 750 pounds
B. 107 1/7 pounds
C. 210 pounds
D. 170 pounds
The percentage of the members of the band won a medal is 60%.
Given that, at a competition 24 of 40 members of a middle school band won a metal.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The fraction for 24 of 40 members is
24/40
So, the percentage
= 24/40 ×100
= 60%
Hence, the percentage of the members of the band won a medal is 60%.
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Answer:
Step-by-step explanation:
24/40=60%
Answer:
Option a. is the correct answer.
Step-by-step explanation:
The cost of stereo system = $1,750.00
You have to put down payment = 25% of 1750
= 0.25 × 1750 = $437.50
therefore the balance amount for installments = 1,750 - 437.50 = $1,312.50
Now clerk tells you that you will pay a total finance charge = $112.00
so it would be added to balance amount
= 1,312.50 + 112.00 = $1,424.50
So the down payment would be $437.50 and total amount financed incuding the finance charge would be $1,424.50.