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
Answer:
c. 24 is a solution
Step-by-step explanation:
Given equation:

To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable
and see if it satisfies the equation.
1) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement can never be true and hence 22 is not a solution.
2) 

The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement is always true and hence 24 is a solution.
4) 

The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
Answer:
I can't see the picture sorry
Step-by-step explanation:
Answer:
The correct answer is 12.
To get this you will divide 60minutes into 5.
You will get the answer "12"
Thus, there are 12, 5 minute segments, in one hour.
Hope this helps, good luck!
Answer:114% percent of her budget is used to entertain
Step-by-step explanation: You just add up all the money and minus it by 40%