math hw help plzzz?

Question

4) The sum of three consecutive even numbers is 78.
a) Let n represent the first even number. Write expressions for the next two even numbers.
b) Write and solve an equation to find the three numbers.

5)A video distributor has 800 copies of a new video to distribute among four stores. She plans to give the first two stores the same number of copies. The third store will recieve three times as many videos as either of the first two. The fourth store will recieve 20 more than either of the first two.

a) How many copies will each store recieve?
b) The distributor has 700 copies of another video that she wants to distribute using the same rules. How many copies do you think she should give to each store? Explain your answer.

plzz help and illl give u the best answer award i really nned help

Answer 1

4a
n+2 and n+4

4b
(n)+(n+2)+(n+4)=78
3n+6=78
3n=72
n=24
n+2=26
n+4=28


5a

let x=# to first two stores, then 3x goes to store 3, x+20 goes to store4

so,

(x)+(x)+(3x)+(x+20)=800
6x+20=800
6x=780
x=130

so store 1 gets 130, store2 gets 130, store 3 = 390, 4 gets 150

5b substitute 700 for 800 in 5a

6x+20=700
x = 680/6 = 113 2/6

since you can't distribute fractions of a video i would suggest she keeps two copies and only distribute 678 in which case store 1 = 113, store 2 = 113, store 3 = 339, store 4 = 133

Answer 2

4) a) n, n+2, n+4
b) n+(n+2)+(n+4)=78
combine like terms.....3n+6=78
subtract 6 from both sides.....3n=72
dived both sides by 3....n=24
solve for other terms......(n+2)=26......(n+4)=28
check: 24+26+28=78

5) a) let store #1 = x, store #2 = x, store #3 = 3x, and store #4 = x+20.
Then, x+x+3x+(x+20)=800
combine like terms....6x+20=800
subtract 20 from both sides....6x=780
divide by 6... x=130
stores 1 & 2 get 130 copies, store 3 gets 3(130) = 390
store 4 gets 150.
check: 130+130+390+150=800
b) same setup....6x+20=700
6x=680
x= 113.33, obviously you can't give out partial tapes, so you'd have to arbitrarily give out the remaining tapes.
For now ignore the partial tapes and stores 1 & 2 get 113 copies, store 3 gets 3(113) = 339 & store 4 gets 133
check: 113+113+339+133=698, you have 2 tapes left over. I'd give them to store #3 since they are by far the busiest store and could probably handel the extra 2 tapes.

Answer 3

4. 24, 26, 28
a. n+2s s= the number of consecutive you go into like n+2 to the first power would be 26, n+2 to the second power would give you 28
b. n(=24) + 2 to the first power = 26, n(=24)+2 to the second power = 28
5. a. the first 2 stores will recieve $130, the third store $390, and fourth $150.
b. 113.35 for the first 2, 3rd 340.05, 4th 133.35
it is a process of guess and check

I think b is right
i hope i helped

Answer 4

1. n+n+2+n+4=78
so 3n+6+78
3n=78-6
3n=72
n=24
next is 26 then 28.

2.n+n+3n+n+20=800
6n+20=800
6n+800-20
6n=780
n=130
so the first two gets 130, next one gets 390, last one gets 150

3. Last answer just do the same thing and use 700 instead of 800. It equals 113.33 videos for the 1st two(so just say 113), then 2nd one gets 339.99(400) and the last one 133.33(but say 134) that way it can actaully equal 700.

Answer 5

4a) n + (n+2) + (n +4)
b) n + (n+2) + (n +4) = 78
3n + 6 = 78
3n = 72
n = 24
n + 2 = 26
n + 4 = 28

Answer 6

4) like people above said



5) the first store gets x number of copies
the second store also get x number of copies
the third store gets 3x number of copies
the four store gets x + 20 number of copies

a) x+x+3x+x+20 = 800
6x = 780
x = 130

first: 130
second: 130
third: 3x130 = 390
four: 130 + 20 = 150

b) use can use the method above to solve for this one

hope this helps

Answer 7

4
a)24, 26, and 28
b) n+(n+2)+(n+4)=78