Answer:
5 snack bags and 6 juice boxes.
Step-by-step explanation:
The least common multiple of 12 and 10 is 60. If he buys 5 snack bags and 6 juice boxes, he will have 60 of each. 12 goes into 60 5 times, and 10 goes into 60 6 times.
Answer:
She can cut 24 ribbon from this long strip.
Step-by-step explanation:
Given that,
Bella needs identical strips of ribbon measuring 3.5 feet each.
She has 85 feet of ribbon.
3.5 feet is length of 1 ribbon.
1 feet is length of
ribbon
85 feet is length of
ribbon
≈24.28

7) 170(24
14
_______
30
28
______
2
So, she can cut 24 ribbon from this long strip.
The general solutions always have some additive/multiplicative constant, that you must fix in the particular solution.
In order to do so, you need to impose that the particular solution passes through a certain point. In your case, you have

and you want

Put everything together, and you have

Since the cosine is zero in the chosen point. So, we've fixed the value of the constant, and the particular solution is found:

Thhe easiest way would be to solve for y first
4x=3y-7
add 7
4x+7=3y
divide both sides by 3
(4x+7)/3=y
try each
x=4
(4(4)+7)/3=y
(16+7)/3=y
(23)/3=y
7 and 2/3=y
(4,7.66666)
x=5
(4(5)+7)/3=y
(20+7)/3=y
(27)/3=y
9=y
(5,9)
x=6
(4(6)+7)/3=y
(24+7)/3=y
(31)/3=y
10 and 1/3=y
(6,10.333)
(4,7.66666)
(5,9)
(6,10.333)
when x=4, y=7 and 2/3
when x=5, y=9
when x=6, y=10 and 1/3