Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
x = 12
Step-by-step explanation:
The diagram shows an equilateral triangle (because all angles are congruent). All sides in equilateral triangle are congruent, so
Solve the equation
Check this value:
Thus, 
Answer:
x=9
Step-by-step explanation:
90(the angle)-30=60
60-15=45
45/5=9
<u>(5(9)+15)+30=90</u>
Answer:
w² + 12w + 2
Step-by-step explanation:
( - 2w² + 5w - 4 ) + ( 3w² + 7w + 6 )
= 3w² - 2w² + 5w + 7w + 6 - 4
= 1w² + 12w + 2
= w² + 12w + 2
Answer:
im working on it
Step-by-step explanation:
