Question

Negative one times the sum of twice a number and 3 is equal equal to two times the difference of-4 times the number and 3. What is the number?

Answer 1

write and equation and solve

Answer 2

hi. are u still here?

Answer 3

yes

Answer 4

okay. so what do you think the equation might look like?

Answer 5

-1*3n=2*(-4*3n)

Answer 6

i think you are close, but we need you to get closer.

Answer 7

is it -1(3+n)=2(-4*3n)

Answer 8

so lets take the left hand side of the equation the first part. it says -1 times the sum of 2 times a number and 3. you are closer. just the left side first.

Answer 9

equals -3+-n

Answer 10

i think it would be -1(2n+3)= for the left hand side. that gives -1 times the entire sum of 2n (2 times a number) and 3. the and implies addition

Answer 11

do you see that?

Answer 12

i am sorry. the sum implies addition

Answer 13

please feel free to ask questions

Answer 14

how did u get the 2n to the left side

Answer 15

Reread the first part of the problem

Answer 16

that isnt part of the question

Answer 17

oh

Answer 18

wht will be on the right side

Answer 19

it is ok
i know these can be confusing

Answer 20

wht grade r u in

Answer 21

sorry, my computer froze

Answer 22

i am a math teacher

Answer 23

now, what do you think the right hand side of the equation looks like?

Answer 24

u still there candence?

Answer 25

hello?

Answer 26

yes my computer froze 2

Answer 27

lol

Answer 28

so before it happens again, what do you think the right hand side of the equation looks like? give it your best guess

Answer 29

i thing it is 2-4(3n)

Answer 30

your clue here is that it is two times the difference. that means that the 2 multiplies the difference. the difference is in the parentheses.

Answer 31

try that

Answer 32

so if you can figure out how to write the difference of -4 times n and 3, you can solve for the answer

Answer 33

2(-4*3-n)

Answer 34

closer. 2(-4n-3) is the right side

Answer 35

now put the left and right hand sides together to solve for n.

Answer 36

that means just put an equals sign in between them

Answer 37

so it should look like this. -1(2n+3)=2(-4n-3)

Answer 38

is it 0.5

Answer 39

yes. that is what i got

Answer 40

thank u

Answer 41

wait

Answer 42

you still there candence?

Answer 43

yes

Answer 44

it should be -0.5

Answer 45

your final steps should be -2x-3=-8x-6 and then 6x=-3 and then dividing by 6 gives x=-.5

Answer 46

yea but i did it different

Answer 47

-2n-3=-8n-6
+2n +2n
-3=-6n-6
+6 +6
3=-6n
- ---
-6 -6
n=-0.5

Answer 48

perfect. you got the negative sign in there. good job of showing all your work. if you do problems like that on your tests, your teacher will love you.

Answer 49

thanks

Answer 50

is there anything else i can help you with?

Answer 51

yes

Answer 52

admission for a water park is $17.50 per day. a season pass cost $125. a locker rental costs $3.50 per day.
1)hat is an equation that represents the relationship the cost of a daily pass and season pass cost?
2)how many days would you have to go to the water park for the season pass to save you money?

Answer 53

ok

Answer 54

any ideas for the cost if you do a daily pass?

Answer 55

i think the equation is d(17.50+3.50)= 125+3.50d

Answer 56

you are absolutely correct, yayyy!! remember that the left hand side of your equation is the cost for a daily pass and the right hand side of your equation is the cost of a season pass.

Answer 57

so then i solve

Answer 58

for d

Answer 59

yes

Answer 60

did you have an answer for d?

Answer 61

no

Answer 62

take your time

Answer 63

i got 7.1

Answer 64

so for the first part of the question, the cost using a daily pass is c=d(17.50+3.50) and the cost using a seasonal pass is c=125+3.50d. Be sure you write that too because that answers the first part of the question. right now you are answering the second part.

Answer 65

yea

Answer 66

well, to solve for d, you have what you wrote above, which after using the distributive property and simplifying becomes, 125=17.50d

Answer 67

i got 7.1

Answer 68

you may have made a small error. i got 125/7, which means that you would have to use the seasonal pass at least 18 days before it paid off

Answer 69

oh my bad

Answer 70

do you see where you turned left instead of right?

Answer 71

yes

Answer 72

so you got 17. something
close to 18

Answer 73

yes

Answer 74

i dont have my calculator lol

Answer 75

nice candence. very nice
you did really well.

Answer 76

thank u

Answer 77

i hope to help you again some time. Unfortunately, i must leave now. i hope you have a wonderful evening . take care

Answer 78

you 2

Answer 79

:))