To solve this problem, create two equations with x and y. The pieces of information that we know are that the first child is 3 times older than the second child. Therefore if we assign child #1 the variable of x and child #2 the variable of y, we could get the following equation:
3x = y
Now, we also know that together their ages equal 50 months. Therefore:
x + y = 50 (months)
So, using these two equations you can use either substitution or elimination to find the values of x and y. You would first need to rearrange the first equation to 3x - y = 0 (just moving the y to the other side).
Then, you could add the equations together as followed:
3x - y = 0
x + y = 50
___________
4x = 50
x = 12.5
And then fill that value in to one of the equations to find y.
3x = y
3(12.5) = y
y = 37.5
So, one child is 12.5 months old and the other is 37.5 months old!
Answer:
x = 19
Step-by-step explanation:
3x - 3 = [6 (x - 10)]
3x - 3 = 6x - 60
3x - 6x = - 60 + 3
- 3x = - 57
- x = - 57/3
- x = - 19
x = 19
Answer:
a. 21 2/6
Step-by-step explanation:
5 2/6 multiplied by 4 is 21 2/6
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:
Step-by-step explanation:
The digital root of a number is the single digit that you get by adding all of the digits of the original number together. If the result of that is multiple digits, you add those digits together, repeating the process until you get a single digit. That digit is the digital root of the original number.
example given
257520643
2+5+7+5+2+0+6+4+3
7+12+2+10+3
7+1+2+2+13
8+4+1+3
8+4+4
12+4
16
1+6=7
