Alright, lets get started.
Sophie has 5 pieces of string that are 4 yards each.
1 yards = 3 feet,
So, 4 yards = feet
Total number of string she has = 5 piece
So, total length she has = feet
It means she had 60 feet string in starting.
Now, She uses 3 pieces that are each 3 feet long, means
She uses = feet
So, remaining string length will be = feet
Means 51 feet string does Sophie have. : Answer
Hope it will help :)
Answer:
1) (2.2, -1.4)
2) (1.33, 1)
Step-by-step explanation:
Question 1)
Two lines, with their corresponding equations are given and we have to find the solution to the system of equations.
The given lines are:
Equation of Line 1:
This line passes through the points: (0, 2.5) , (2.2, -1.4)
Equation of Line 2:
This line passes through the points (0, -3) , (2.2, -1.4)
By looking at the graph/given data we have to find the solution of these linear equations.
Remember that the solution of linear equations is an ordered pair, through which both the lines pass i.e. the point at which both the given lines intersect is the solution of the linear equations.
From the given data we can see that both the lines pass through one common point, (2.2, -1.4). Since, both lines pass through this point, this means this is the point of intersection of the lines and hence there solution.
So, the answer to this questions is (2.2, -1.4)
Question 2)
The given equations are:
y = 1.5x - 1 Equation 1
y = 1 Equation 2
We can solve these equations by method of substitution.
Substituting the value of y from Equation 2, in Equation 1, we get:
1 = 1.5x - 1
1 + 1 = 1.5x
2 = 1.5x
x = 2/1.5
x = 1.33
y = 1
Thus, the solution of the given linear equations is (1.33, 1)