They are supplementary angles because their sum equals 180 degrees, and they are adjacent because they share a side.
If you distribute -5 to the things in the parenthesis you would get 10k-20 which is the same as -5(-2k+4)
Answer:
31.5 hours studying English
Step-by-step explanation:
2 math hours = 3 english hours
21 math hours = ? english hours
21/2 = 10.5
10.5 * 3 = 31.5
Answer:
One variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.
Step-by-step explanation:
lets assume the variable for total daily allowance
lets say total daily allowance of fat = x grams
Fat consumed at dinner = 48 grams
Fat consumed at dinner in percentage = (Fat consumed at dinner/total daily allowance of fat) × 100
= (48 grams/x grams)×100=(4800/x)%
so (4800/x)%
So one variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.
lets take one example
lets says total daily allowance of fat for Emily = 100gm
so from derived equation that is 4800/x , we can get required percentage by putting x = total daily allowance of fat = 100gm
=4800/100 = 48%.
you can change value of variable x according to total daily allowance and get the required dinner intake percentage by equation 4800/x.
The correct format of the question is
At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?
(A) 291
(B) 691
(C) 1040
(D) 1440
Answer:
The increase in the population at the end of 2009 is 291 people
Step-by-step explanation:
We are given the equation as
where
P = No of People
t= No of Years
it is given that in the year 2006 the population is 400
this will only happen when we take t= 0
so for
Year value of t
2006- t = 0
2007- t = 1
2008- t = 2
2009 t = 3
No of people in 2009 will be
= 400*1.728
P = 691.2
Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691
Increase = P(2009) - P(2006)
= 691 - 400
= 291
The increase in the population at the end of 2009 is 291 people.