y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
Answer:
Therefore no of apples in that group is 18
Step-by-step explanation:
Given:
No. of apples = 36
No. of pears = 20
Also it is given that grocer arranges the fruit into groups that have the same ratio of apples to pears as the whole collection of fruit.
first we find the ratio of apples and pears in whole collection which is given below
No. of apples/No. of pears = 36/20 = 9/5
Now its a problem of ratio
It is given that no of pear in one group is 10
Let the no of apples in that group be X
According to the question
No. of apples in whole collection/ No. of pear in whole collection = No. of apples in the group/ No. of pears in the group -------------> A
9/5 =X/10
=> X = (9*10)/5 = 18
Therefore no of apples in that group is 18.
Hey mate!
You stuck?
2= Ones' place
2= Tens' place
4= Hundreds' place
7= Thousands' place
8= Ten thousands' place
3= Hundred thousands' place
Now that you know the places, 387,422 can be rounded to 400,000. The reason why is because the (87) in 387 is closer to the next hundred. As you may know that anything 5 and greater can be rounded to the next hundred.
Hope this helps!
Answer:
variables :)
Step-by-step explanation: