The unit rate is 0.25 kilograms per year.
Step-by-step explanation:
Lets define unit rate first
Unit rate is the change in quantity per unit time.
Given
Weight = w = 5 kg
Time = t = 20 years
So,

Hence,
The unit rate is 0.25 kilograms per year.
Keywords: Unit rate, rate of change
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System of Equations
Let:
x = number of people that can be seated at a table
y = number of people that can be seated at a booth
The first plan consists of 23 tables and 10 booths and then 228 people could be seated, thus:
23x + 10y = 228
The second plan consists of 12 tables and 12 booths and that way 180 people could be seated, thus:
12x + 12y = 180
The method of elimination requires equating the coefficients of one variable and eliminating it by adding the equations.
Multiply the first equation by 12:
276x + 120y = 2736
Multiply the second equation by -23:
-276x - 276y = -4140
Add the last two equations (the variable x cancels out):
120y - 276y = 2736 - 4140
Simplifying:
-156y = -1404
Dividing by -156:
y = -1404/(-156)
y = 9
Substitute this value in the first equation:
23x + 10(9) = 228
Operate:
23x + 90 = 228
Subtract 90:
23x = 138
Divide by 23:
x = 138/23
x = 6
Every table can seat 6 people, and every booth can seat 9 people
Answer:
x= 3.5 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
thanks for the free points
Step-by-step explanation:
<h2>
Answer: 67</h2>
Step-by-step explanation: 6.7 x 10^1 = 67