Answer: The number is 27
The system of equations is: 7x - 2y = 0
-9x + 9y = 45
<u>Step-by-step explanation:</u>
Let x represent the number in the tens place and y represent the number in the ones place. <u>x</u> <u>y</u>
Then 10x + y = 3(x + y)
When the digits are reversed: 10y + x = 10x + y + 45
Simplify each of the above equations and then create a system of equations:
10x + y = 3x + 3y → 7x - 2y = 0
10y + x = 10x + y + 45 → -9x + 9y = 45
9( 7x - 2y = 0) → 63x - 18y = 0
2(-9x + 9y = 45) → <u> -18x + 18y </u>=<u> 90</u>
45x = 90
x = 2
Input x = 2 into either equation to solve for y:
7x - 2y = 0
7(2) - 2y = 0
14 = 2y
7 = y
Answer:
y=5/3x -1
Step-by-step explanation:
you have 2 points: (0, -1) and (3, 4)
slope is the rise/run
so -1-4/0-3
=-5/-3
1 2/3
Step-by-step explanation:
Recognize the relation between the graph and the slope–intercept form of an equation of a line
Identify the slope and y-intercept form of an equation of a line
Graph a line using its slope and intercept
Choose the most convenient method to graph a line
Graph and interpret applications of slope–intercept
Use slopes to identify parallel lines
Use slopes to identify perpendicular lines
Answer:
C. 
Step-by-step explanation:
We have been given a table showing rates of time taken by Judy and Sam to complete a puzzle.
We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.
Since Judy completes the puzzle in 3 hours, so part of puzzle completed by Judy in one hour would be
, therefore, correct choice is option C.
Answer:
9.72 approximately
Step-by-step explanation:
Given triangles are similar, to solve 9/10=8.75/EC we cross multiply expressions:
9EC = 87.5 now divide both sides by 9
EC = 9.72 approximately