Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.A. Yes, because the sum of any two multiples of 4 is also a multiple of 4.

B. Yes, because the sum of any two multiples of 4 is also a multiple of 8.

C. No, and a counterexample is –4 + (–8) = –12.

D. No, and a counterexample is 26 + 16 = 42.

Answers

Answer 1

Answer: The right answer for the question that is being asked and shown above is that: "B. Yes, because the sum of any two multiples of 4 is also a multiple of 8." the set of multiples of 4 closed under addition

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What value of x satisfies the equation 7/3(x+9/28)=20

Answers

the value of x is 8.25
x+9/28 = 20*3/7
x=60/7 - 9/28
x = 33/4
x= 8.25

Make c the subject of the formula:
A=b+cd

Answers

The answer is c=(a/d)-b

If f(x)=x^2-5 and g(x)=6x then g(f(x)) is equal to

Answers

g(x) = 6x

g(f(x))
= 6((x^2) - 5)
= (6x^2) - 30

so its equal to
(6x^2) - 30

Plug f(x) as x in g(x) and you get 6(x^2-5), which is g(f(x)) = 6x^2-30.

the ratio 1mm represents 1cm is the same as 1:10 complete the following the ratio 1cm represents 1km is the same ratio as 1:

Answers

Answer: 1:100

Explanation: If 1cm is 10 and there is 1mm for every 10cm, and the unit that is after centi- is kilo- then all you’d have to do is put another zero.

Final answer:

Given that 1 km is equal to 100000 cm, the ratio of "1 cm represents 1 km" is identical to the ratio of "1:100000."

Explanation:

The ratio in the question has been adjusted from millimeters to centimeters and is presently being altered from centimeters to kilometers. In light of the fact that 1 centimeter is equal to 0.00001 kilometers, the original ratio of 1cm:1km can be restated as 1:100000. In other words, 1cm represents 1km is the same ratio as 1:100000. This is a demonstration of how units of measure can impact ratios and proportions in mathematics.