Answer:
150 pennies were lost altogether
Step-by-step explanation:
Let the initial number of pennies owned by Dante be x pennies
Let the initial number of pennies owned by Mia be y pennies
Mathematically ;
x + y = 350 •••••••(i)
So after losing half, dante will have x/2 pennies left.
Mia lost 1/3 so she will have 2/3y left
So after all the losses, they both had equal amount of pennies
This means that;
x/2 = 2y/3
Cross multiply;
3x = 4y •••••••(ii)
Let’s solve both equations simultaneously;
From i , x = 350-y
Substitute this into equation ii
3(350-y) = 4y
1050-3y = 4y
7y = 1050
y = 1050/7
y = 150
since x = 350-y
x = 350-150 = 200
Now Dante loss x/2 = 200/2 = 100
Mia lost 1/3y = 1/3 * 150 = 50
Total pennies lost = 100 + 50 = 150
2/7 x 1/3 = 2/ 21
In simplest form 2/21 = 2/21
Answer + 2/21
It is given that P(A) = 1/2 and P(B) = 0
P(A Î B) = P (A ∩ B) / P(B) = P (A ∩ B)/0
As zero is in the denominator, the expression can't be defined.
In short, final answer is not defined.
Hope it helped.
Answer:
Step-by-step explanation:Simplifying
2a + 6b = 100
Solving
2a + 6b = 100
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-6b' to each side of the equation.
2a + 6b + -6b = 100 + -6b
Combine like terms: 6b + -6b = 0
2a + 0 = 100 + -6b
2a = 100 + -6b
Divide each side by '2'.
a = 50 + -3b
Simplifying
a = 50 + -3b
Answer:
6.44
Step-by-step explanation:
subtract 6.50 by 4 which will give you 6.44
