Answer:
Step-by-step explanation:
You need to add the amount Shawna & Ryan ate together, then subtract it from 1 to find the amount of pizza that was left for Dominic to eat.
+ 
= ?
Make all the denominators the same to add fractions.
is 
is 
+ = 
1 - =
Answer:
Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t.
This means that the population growth is modeled by the following differential equation:
Which has the following solution:
In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The population has doubled in 10 years
This means that 
. We use this to find r.
So the equation that will estimate the population of the community in t years is:
I think he lost $375 because I'm pretty sure your supposed to multiply 55 and 7
Answer:
Step-by-step explanation:
The upper right angle is supplement to 130° and a corresponding angle to (3x + 5)
130 + (3x + 5) = 180
3x + 5 = 50
3x = 45
x = 15
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
