*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - <span>£270
</span> Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus,
</span>
B + A + L = <span>£270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L</span> (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L </span>(EQUATION 3)<span>
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = </span><span>£270
</span> 9L = <span>£270
</span> L = <span>£30
So, Polly has </span><span>£30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
</span>
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
C because 5.26 x 10^3 is 5260
The Expected value of a draw from the given question is; A; 0.77
We are told the face cards are K, Q, J. This means that there are 3 face cards for each of the 4 suits.
Since you earn 10 points for each face card, it means that;
total possible gain = 10 × 3 × 4 = 120
In a deck of cards, there are a total of 52 cards.
This means that;
Number of cards that are not K, Q or J = 52 - (4 × 3) = 40
Since 2 points are lost for drawing any of this 40 cards, then;
Total possible loss = 40 × 2 = 80
Expected gain = 120 - 80
Expected gain = 40
Expected value of a draw = 40/52
Expected value of a draw = 0.77
Read more about expected value at; brainly.com/question/1450915
Answer:
Sum of interior angles of a triangle always = 180 degrees
add the individual ratios to get a sum composite ratio:
2+5+8 = 15
180 / 15 = 12
Multiply individual ratios:
{2:5:8} * 12 = 24:60:96
Check:
24 + 60 + 96 = 180
Step-by-step explanation:
I hope it's help
