Answer:
the compound probability is 1/8.
Step-by-step explanation:
1/4 for the spinner x 1/2 for the coin
Melanie: 15 years old
Kevin: 5 years old
Assume Kevin's present age is x.
That means that 3 years ago, his age would be x - 3.
Melanie's age would be 6(x - 3).
Same thing for 5 years into the future:
Kevin's age would be x + 5.
Melanie's age would be 2(x + 5).
The two equations we have here are:
By subtracting both equations, we are simplified to:
8 = -4x + 28
By solving the equation, we get x = 5.
That means that Kevin's current age is 5 years old.
Melanie's age could be calculated by substituting Kevins'.
6(x - 3) --> 6(5 - 3) --> 12
Since that was 3 years ago, you need to add 3 to 12 to get her current age.
12 + 3 = 15
Melanie's current age is 15 years old.
Answer:
The two numbers are 37.5 and 25.5
Step-by-step explanation:
Comment
Let the two numbers be x and y
Equations
x + y = 63
x - y = 12
Solution
Add the two equations. The ys cancel out.
2x = 75 Divide by 2
2x/2 = 75/3 Do the division
x = 37.5
Now use one of the given equations to solve for y
x + y = 63
x = 37.5
37.5 + y = 63 Subtract 37.5 from both sides
37.5-37.5+y= 63 - 37.5 Collect the like terms on both sides
y = 25.5
Check
x - y =? 12
37.5-25.5 =? 12
12 = 12
(2x^3)*(5x^2)+(2x^3)*(4)+(1)*(5x^2)+(1)*(4)
10x^5+8x^3+5x^2+4
The amount of cash available for distribution to the partners is <u>$46,000</u>.
<h3>How is the amount of cash determined?</h3>
The amount of cash available for distribution to the partners is computed by summing the partners' capital balances.
From the scenario, Miguel owes the partnership $45,500. Since Miguel has not brought in this amount, the cash available for now is $46,000.
If Miguel cannot bring in $45,500, it implies that the other two partners will share the loss in their income-sharing ratio before distributing the remaining cash.
<h3>Data and Calculations:</h3>
Partners = Everett, Miguel, and Ramona
Income-sharing ratio = 1:2:3
Capital account balances:
Everett, $53,600 Cr.
Miguel, $45,500 Dr.
Ramona, $37,900 Cr.
Total = $46,000 CR
Thus, the amount of cash available for distribution to the partners is <u>$46,000</u>.
Learn more about partnership liquidation at brainly.com/question/17149203
#SPJ1
