Answer:
Son's age is 14 and father's age is 38
Step-by-step explanation:
The question in English is
Ten years ago my son's age was 1\7 of the father's. Now his ages add up to 52. What is the son's age?
Let
x -----> son's age
y ----> father's age
we know that
------> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (14,38)
see the attached figure
therefore
son's age is 14 and father's age is 38
Answer:
4,3
Step-by-step explanation:
4,3
Answer:
36 points each day.
Step-by-step explanation:
We have been given that we must accumulate 790 points to achieve our goal this month.
To find the number of points earned each day, on average, we will divide total number of points achieved in a month by number of business days we worked.
If we need an integer answer, we can round 35.91 to 36. Therefore, we must earn 36 points each day, on average to meet our goal.
Answer:
Step-by-step explanation:
Let's look at a few examples where we know the number of movies. Let's say just 1 movie is rented. Well, then there's the subscription charge of 4 dollars and then 2.25 for the one movie. Two movies would be 4+2.25+2.25. 3 would be 4+2.25+2.25+2.25. So the number of 2.25s increases with each movie. You could brute force it and just keep adding 2.25 until you get 31, but there's a better way.
Multiple additions like this is of course multiplication. so one movie is 1*2.25, two is 2*2.25 and so onwe want to know how many were bought, so let's call that number something we don't know, x. Also, you want to take into account the 4 dollar subscription fee. This leaves us with an equation that looks like this.
4+2.25x = 31
Now, to solve for x we can do a few things to this. I'm assuming you are new to this so I will take it slow. Let's say it was a simpler problem. 5+x=10. Or five plus something equals 10. You might be able to figure it out super easily and just know that 5+5 is 10. A way to solve it with our problem though is to take the euations 5+x=10 and manipulate it on each side of the equation. Here, 5 is being added to x, but what if we subtract 5? well, 5+x-5=x. Since we did that to one side of the equation though we have to do the ame to the other side. so 10-5. Or in other words we subtracte 5 from both sides.
5+x=10
-5 -5
x = 5
So that's ne part of how we are going to find x in 4+2.25x = 31
4+2.25x = 31
-4 -4
2.25x = 27
Now, in the last part 5 was being added so we subtracted. Here, 2.25 is being multiplied so we divide. If we divide both sides by 2.25 we get x = 12, so that's the answer.
