Answer:
22 hours
Step-by-step explanation:
So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.
Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:
Write the augmented matrix for the system of equations
Find the reduced row-echelon form of the augmented matrix for the system of equations:
Thus, the system of three equations is
From the last equation:
Substitute it into the second equation:
Substitute y = -6 and z = -3 into the first equation:
The equation of the line going through (-6, 0) and (0, -3) is y = -(1/2)x - 3
The equation of the line going through (0, 3) and (-4, -5) is y = 2x + 3
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The equation of the line going through (-6, 0) and (0, -3) is:
y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))
y = -(1/2)x - 3
The equation of the line going through (0, 3) and (-4, -5) is:
y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)
y = 2x + 3
Find out more on equation at: brainly.com/question/2972832
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This involves quite a lot of arithmetic to do manually.
The first thing you do is to make the first number in row 2 = to 0.
This is done by R2 = -3/2 R1 + R2
so the matrix becomes
( 2 1 1) ( -3 )
( 0 -13/2 3/2) (1/2 )
(5 -1 2) (-2)
Next step is to make the 5 in row 5 = 0
then the -1 must become zero
You aim for the form
( 1 0 0) (x)
(0 1 0) (y)
(0 0 1) ( z)
x , y and z will be the required solutions.
He has $90 in total to spend
He spent (31/45) of this money on ticket
so money spent on ticket =(31/45) *90 =2790/45 =62
Now money left with him is 90-62 =28 $
Now it says that he spent (3/7) of this remaining money at concession stand
so money spent on concession stand =(3/7)*28 =84/7 =12
Now money left with him = 28-12 =16
So money left with him is $16 but hat costs for $18
So Mr. O'Connor didnt have enough moeny to buy the hat
