The question is an illustration of equivalent ratios.
- 3 cups of dark orange require 3 ounces of yellow paint
- 3 cups of light orange require 19.5 ounces of yellow paint
1 cup of dark orange requires
To make 3 cups, we simply multiply by 3, because 
So, we have:
2 cups of light orange require
To make 3 cups, we simply multiply by 1.5, because 
So, we have:
Hence:
- 3 cups of dark orange require 3 ounces of yellow paint
- 3 cups of light orange require 19.5 ounces of yellow paint
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Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.
No the gardens are not going to be the same because Jamal' s garden is bigger than marks garden
Answer:
1st box: (-5,-2)
2nd box: up and down
3rd box: 8
4th box: +-4/3
5th box: y+2 = +-4/3 (x+ 5)
Step-by-step explanation:
Just took the k12 unit test, hope this helps!
Answer:
an = 6 +5(n-1)
an = 1 +5n
Step-by-step explanation:
The equation for an arithmetic term is
an =a1 +d(n-1)
where a1 is the 1st term and d is the common difference
an = 6 +5(n-1)
We can distribute the 5
an = 6+5n-5
an = 1 +5n
