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:
Step-by-step explanation:
First you distribute so two times 4Y is 6Y then you multiply the two in the five which gives you 2Y -5 equals 70
Answer:
Henry does not make money if he does not sell any apples.
Step-by-step explanation:
Henry sells apples. The graph of the relationship between the price of apples and their total weight passes through the point (0,0) or origin.
Now, we have to clarify the meaning of the point (0,0) on the graph.
We choose from the options that Henry does not make money if he does not sell any apples.
Therefore, option D will be the correct one. (Answer)
N(n-1)/2
for any integer n, n to the 3rd power > 0. (-2)^2 = -2 *-2=-8
each angle in a right triangle has a different measure.
both fractions reduce to 1/3