Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
Answer:
4 bottles
Step-by-step explanation:
Let o represent the number orange juice bottles Megan bought. Then the total number of juice bottles is ...
o + 12 = 4o
12 = 3o . . . . . . . subtract o
12/3 = o = 4 . . . . divide by the coefficient of o
Megan bought 4 bottles of orange juice.
26,300 = 1/2x + 3200......with x being last years population
To get the percent of increase, we will follow these steps:
1- get the difference between the two numbers:
difference = 1.8 - 1.2 = 0.6
2- divide the difference from step one by the original number (the number before the increase) and then multiply the quotient by 100 to get the percent as follows:
% of increase = (0.6 / 1.2) * 100 = 50%
Based on the above calculations, the percent of increase in the amount of iron is 50%
Answer:
slope = 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (10, 3 ) and (x₂, y₂ ) = (7, 0 )
m = 
= 
= 1
