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: the first one is irrational because it is a repeating fraction.
the third is square root of 7 is less than 14/5
the fourth is negative 5 over 6, negative 5, negative 31 over 6, negative square root 26
Step-by-step explanation: Hope this helps !
5a(b-c)=d. Here, we are trying to isolate the variable b.
Divide both sides by 5a: b-c=d/(5a)
Add c to both sides: b=
<h3>
1)</h3>
• 6x -2(x -5) = -2 . . . . given
• 6x -2x +10 = -2 . . . . X Cameron errored here. When multiplying -2 by -5, the result is 10, not -10.
• 4x +10 = -2 . . . . . . x terms are correctly collected
• 4x +10 -10 = -2 -10 . . . . add the opposite of the constant on the left
• 4x/4 = -12/4 . . . . divide by the x-coefficient
• x = -3 . . . . . . . . . . simplify
<h3>2)</h3>
• 11x -10 = -34 . . . . combine like terms
• 11x -10 +10 = 34 +10 . . . . addition property of equality
• 11x = 44 . . . . . . . . simplify
• 11x/11 = 44/11 . . . division property of equality
• x = 4 . . . . . . . . . . . simplify