Total length of the board = 30 inch
Length of,
-- First piece = x
-- Second piece = 4x
-- Third piece = 5x
5x + 4x + x = 30
10x = 30
x = 3
Therefore, the lengths of:
-- First piece = 3 inch
-- Second piece = 4*3 = 12 inch
-- Third piece = 5*3 = 15 inch
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
A negative and a negative together make a positive so you are basically adding. so you have to find a common denominator which is 8 so you end up with 5/8 + 6/8 = 11/ 8 = 1 and 3/8
Answer:
9
Step-by-step explanation:
Answer:
Y= 2x+10
Step-by-step explanation:
(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)
You add 2 every time
