if you could show me how to and answer any/all of these that would be great

1. ed is thinking od a number from 1to 25 inclusive. Erin asks him wheter the number is a multiple of thee whether itis a perfect cubeand whether it is prime. fter hearing the answer to all three questions, erin knows what the number is. What is the Number? show work and explain thinking

2.
0 is less than or equal to x which is less than or equal to 2pi
log(2sinx)+log(sqrtof 3 +2sinx) = log6
find x as a multiple of pi
(i kno you can take away the logs but after that?)

3. find sin(2arctan3)
no calculators

4. for a given arithmetic sequence the sum of the first 50 terms is 200, the sum of the next fifty terms is 2700. What is the first term of the sequence

5. a garden hose is wound on a reel
the first 8 turns are each of length 21 inches, the next 8 turns are each of length 23 inches, the next 8 turns areeach of length 25 inches and so on. Fin the total number of turns required to roll up a 200-ft hose

if u could explain how to answer any of these that would be great
———-

14.
in rectangle abcd ab=10 bc=15
a point p inside the rectangle is such that pb=12 and pc=9
whant is the length of pa
————

15
a garden hose is wound on a reel. the first 8 turns are each of length 21 inches, the next 8 turns are each of length 23 inches, the next 8 turns are wach of length 25 inches, and so on. find the total number of turn required to roll up a 200 foot garden hose
—————–

16.
for a given arithmetic sequence , the sum of the first 50 terms is 200 and the sum of the next fifty terms is 2700. What is the first term in the sequence

My 5 yr old spilt the beans that my darling husband has bought me (gasp) a hose reel for Christmas. I found a receipt in the trash that confirms it. To put it in perspective, I do not enjoy gardening - although I do it so our yard doesn’t look appalling. We also already own a hose reel and several hoses. This tops the year he bought me an iron and an ironing board. What’s the most unromantic and unwanted thing your partner has ever bought you?

1. 8&1/5 - 3&4/5

2. 3/4 x 5/2

3. How many 1/2 are in 2/5? (2/5 divided by 1/2)

4. 30 divided by d = 0.6

5. Mary wound a garden hose around a circular reel. If the diameter of the reel was 10 inches, how many inches of hose was wound on the first full turn of the reel? Round the answer to the nearest whole inch. (Use 3.14 for pi.)

6. How many square inches are needed to cover a square foot?

7. One centimeter is what fraction of one meter?

8. Mentally calculate each answer. Describe how you performed each mental calculation.
(a) 6.25 x 10
(b) 6.25 divided by 10

9. With one toss of a single number cube, what is the probability of rolling a number less than three?

10. Compare: (0.8)² is greater than, less than, or equal to 0.8

11.Nefertiti could pronounce her name in six tenths of a second. At this rate, how many times could she pronounce her name in 15 seconds? (Write and solve a fraction division problem to answer the question.)

12. One eighth is equivalent to 12&1/2%. To what percent is three eighths equivalent?

13. Mentally calculate the total cost of 10 gallons of gas priced at $1.599 per gallon. Describe the process you used.

14. Arrange these three numbers in order from least to greatest:
3/4, the reciprocal of 3/4, 1

15. If P = 2l + 2w, and if l = 4 and w = 3, what does P equal?

THANKS!
I already did them, but i want to make sure i’m right.
Please explain to me what you did, when you anwser. I want to make sure i know how you did it. :]
It’s not all of my homework :\. It’s only the ones i had trouble with. And i’m not sure how to check it. I can’t check all of them with a calculator.

if i have a garden hose still half coiled up on a hose reel, and iam pumping water through it. does the pump work harder to push around the coil or not?
no- there isnt any kinks. i know the further the distance, the more torque i need. but i wondered whether the water going up hill through the coil would regain the spent energy on the downhill return.

I work with my hands a lot outside. I was unraveling the garden hose and it was tangled on the reel. I pulled it hard and my finger smashed against the deck. My nail’s first few layers came off! Now all that’s left is one tiny layer and the rest of my nail is jagged and thin! Will nail polish strengthen it? I am so afraid I end up seriously hurt or that it bleeds. Suggestions?

I live in an area with a BUNCH of large frogs. Is there anything out there that will scare away the frogs from getting into my belongings in my yard? They are living in my hose reel, and it’s so gross to see them every time I pull my garden hose out to water my plants. They also get into my garage and anything else that is out. If you know any tricks to scare them away, please help!