SOLUTION: Hi, Can someone please help me, I have tried to answer these problem and since I have been out of school for 15 years I lost. 1. Make a conjecture about the relationship bet

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Question 206045This question is from textbook
: Hi,
Can someone please help me, I have tried to answer these problem and since I have been out of school for 15 years I lost.
1. Make a conjecture about the relationship between the original number and the final number in the following process.
Pick a number
Multiply the number by 5
Add 10 to the product
Divide the sum by 5
Subtract 1 from the quotient

This is the answer I got but I think it wrong
Answer:
Pick a number: let X be number
Multiply the number by: 5*X
Add 10 to the product: 5*X + 10
Divide the sum by 5: I get 1*X +10
Subtract 5 from the quotient: I get 1*X+5 so the original number X and the output is 1*X+5

2. Estimate: 0.5162 + 9.436 + 350.12 + 800. 25 + 25.78
Answer: 1186

3.Estimate: 3004 x 5982
My Answer: estimation 18000000
4. Estimate the area of the rectangle in square units. Each square represents 1 square unit.
Answer:
I do not know how to answer this question
Thank you
Sammie This question is from textbook

Found 2 solutions by jim_thompson5910, NaturalBornNerd:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
# 1

I'll follow your work and make notes:

Pick a number: let X be number .... correct. note: usually, variables are in lower case, but that's ok.

Multiply the number by: 5*X .... good.

Add 10 to the product: 5*X + 10 ... good

Divide the sum by 5: I get 1*X +10 .... incorrect. you forgot to divide 10 by 5 to get 2. So you should have X + 2

Finally, you forgot to subtract 1 from X+2 to get (X+2)-1=X+1

So the final result is the original number X plus 1. In other words, the result is simply the next integer.

Ex: Pick a random number (say 12)
Multiply by 5: 12*5=60
Add 10: 60+10=70
Divide by 5: 70/5=14
Subtract 1: 14-1=13

So picking the original number 12 results in the answer of 13 (which is 1 more). Go ahead and pick any other number and test it yourself.

# 2

Correct. Good Job

# 3

Correct again. Good Job

# 4

I have no idea either since I'm missing either the problem itself or the picture that you're looking at. So you need to include more info.

Answer by NaturalBornNerd(5) (Show Source):
You can put this solution on YOUR website!
I get x + 1 as an answer for your first question.
Pick a a number:x
Multiply that number by 5: 5x
Add ten to the product: 5x + 10
Divide the sum by 5: (5x + 10) / 5 = (5x/5)+(10/5)= x + 2
Subtract 1 from the quotient: x + 2 -1 = x + 1
As for the other questions, I don't understand what you mean by 'estimate'.
Those problems could be solved directly by addition and multiplication.