Answer:
Let fertilizer be F
and peat moss be P
since F is proportional to P
F = kP
where, k = constant of proportionality
k = F/P
putting in the values,
k = (3/4) /12
k = 3/4 * 1/12
k = 1/16
Therefore the constant of proportionality is 1/16.
Answer:
Divisible by 3 is the answer
Step-by-step explanation:
First get everything to have the same base of 5
25^11 - 5^19
(5^2)^11 - 5^19
5^(2*11) - 5^19
5^22 - 5^19
Now factor out the GCF 5^19 to get
5^22 - 5^19
5^(19+3) - 5^(19+0)
5^19*5^3 - 5^19*5^0
5^19(5^3 - 5^0)
5^19(125 - 1)
5^19*(124)
At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4
Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4
Since 31 is a factor of the original expression, this means the original expression is divisible by 31.
Answer:
32 minutes
Step-by-step explanation:
49 - 17 = 32
Timothy spent 32 minutes on his math homework.
The average speed of Martha and Sarah is 32 km/h.
We need to know about the speed to solve this problem. Speed can be determined as the distance traveled divided by time. It can be written as
v = s / t
where v is speed, s is distance and t is time.
From the question above, we know that:
t sarah = 3 hours
t martha = 5 hours
v sarah = 40 km/h
By using the speed equation, we get the distance
vsarah = s / tsarah
40 = s/3
s = 120 km
Find Martha's speed
vmartha = s / tmartha
vmartha = 120 / 5
vmartha = 24 km/h
Find average speed
v = (vsarah + vmartha)/2
v = (40 + 24) / 2
v = 32 km/h
Hence, the average speed of Martha and Sarah is 32 km/h.
Find more on speed at: brainly.com/question/6504879
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Answer:
(2,3)
Step-by-step explanation:
