Answer:
1) x= 3/2= 1 1/2
2) x= 2/3
Step-by-step explanation:
1)How many times as heavy as Whiskers is Piglio?
a) Write a multiplication equation for the question.
2 2/3 kg * [x]= 4kg
b) Write a division equation for the question.
4/ 2 (2/3) = x
c) Is the answer greater than 1 or less than 1?
Ans) Greater than 1
d) Find the answer
4/ 8/3= x
x= 3/2= 1 1/2
Pigilo is 1 1/2 times as heavy as whiskers
2)How many times as heavy as Piglio is Whiskers?
a) Write a multiplication equation for the question.
4 kg * [x]= 2 2/3 kg
b) Write a division equation for the question.
2 (2/3)/4 = x
c) Is the answer greater than 1 or less than 1?
Ans) Less than 1
d) Find the answer
8/3/4= x
8/3 * 1/4= x
2/3= x
Whiskers is 2/3 times as heavy as Pigilo.
In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;
In accordance, we can say:
(2p + 7q)x = 4x [1]
(p + 8q)y = 5y [2]
2q - p + 1 = 2 [3]
All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):
Rearrange in terms of p:
p + 8q = 5 [2]
p = 5 - 8q [2]
p + 2 = 2q + 1 [3]
p = 2q - 1 [3]
Now equate rearranged [2] and [3] and solve for q:
5 - 8q = 2q - 1
10q = 6
q = 6/10 = 3/5 = 0.6
Now, substitute q-value into rearranges equations [2] or [3] to get p:
p = 2(3/5) - 1
p = 6/5 - 1
p = 1/5 = 0.2
Answer:
2 containers should be used
As the system improves, neither more or fewer containers be required
Step-by-step explanation:
According to the given data we have the following:
D=83 pieces per hour.
T=80 minutes=1.33 hour
X=0.18
C=53
In order to calculate how many containers should be used we would have to use the following formula:
Number of containers=<u>DT(1+X)</u>
C
Number of containers=<u>(83)(1.33)(1+0.18)</u>
53
Number of containers=2.45=2
2 containers should be used.
As the system improves, neither more or fewer containers be required
