Is 3pi/2pi a rational number or an irrational number? Explain your reasoning

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

It is rational

Step-by-step explanation:

The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1

Therefore,

(3pi)/(2pi) = (3/2)*(pi/pi)

(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above

(3pi)/(2pi) = 3/2

we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.

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Marta's jump rope is 10" shorter than four times the length of Dilbert's rope. If both their ropes laid together end to end and

sladkih [1.3K]

Answer:

Marta's rope is 94"

Step-by-step explanation:

D = dilberts rope length

M = marta's rope length

Marta's jump rope is 10" shorter than four times the length of Dilbert's rope

M = 4D-10

both their ropes laid together end to end and measured 120" long

M+D = 120

Substitute 4D-10 for M in the second equation

4D-10 + D = 120

Combine like terms

5D-10=120

Add 10 to each side

5D-10+10 =120+10

5D =130

Divide by 5

5D/5 = 130/5

D =26

Now we need to find M

M+D = 120

M +26 = 120

Subtract 26 from each side

M = 120-26

M = 94

3 0

3 years ago

Since Beth was born the population of her towns has increased at a rate of 850 people per year. On beths 9th birthday the total

Lana71 [14]

Answer:

313,600

Step-by-step explanation:

Let t represent number of years after Beth's 9th birthday.

We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be $850t$ .