The person has 1 5/6 cake left because 3 2/4 - 1 2/3 = 1 5/6! Hope this helps ^0^
Explanation
Rewriting Expression in different parts.
= 3 + 2/4 + 1 + 2/3.
Solving The Whole Number Parts.
3 + 1 = 4
Solving The Fraction Parts.
2/4 + 2/3 = ?
Find the LCD of 2/3 and 2/4 and Rewrite to solve with equivalent Fractions.
LCD = 12
6/12 + 8/12 = 14/12
Simplify the Fraction Part.
14/12 = 7/6
Simplify The Fraction Part Again.
7/6 = 1 1/6
Combining The Whole Numbers With The Fractions.
4 + 1 + 1/6 = 5 1/6
Hope this helps ^0^! ;D
Answer:
Expected value would be $ 0.896
Step-by-step explanation:
Given,
The price of the lottery ticket = $44800000,
Also, the probability of winning the grand prize = .000000020,
Thus, the expected value of the lottery ticket = value of the lottery ticket × probability of getting the lottery ticket
= 44800000 × .000000020
= $0.896
Note : value of lottery ticket = prize amount - cost of each ticket,
Here the cost price of a ticket is not given,
That's why we did not consider it.
Answer:
the slope of the line is the rate of change
Step-by-step explanation:
Answer:
(-2, -4)
Step-by-step explanation:
Given:
The system of equations to solve is given as:
In order to solve this system of linear equations, we use substitution method.
In substitution method, we substitute the value of any one variable in the other equation.
So, we substitute the value of 'y' from first equation in the second equation.
This gives,
Dividing both sides by 3, we get:
Now, 
Therefore, the solution is (-2, -4)
Answer:
Distance is greater than the displacement.
Step-by-step explanation:
We are given that a train on a straight track goes in the positive direction.
We have to find that distance covered by the train is greater than, lees than or equal to its displacement.
Train covered distance in positive direction=6.7 km
Train covered distance in back=4.0 km
Distance covered by the train=6.7+4=10.7 Km
Because distance is the length of path covered by object.
Displacement =Final position -Initial position
Displacement =6.7-4=2.7 km
10.7 > 2.7
Distance > Displacement
Hence, Distance is greater than the displacement.
