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
The answers are the following
1. B
2. A
3. B
4. A
Answer:
Step-by-step explanation:
Triangle GEF is a right angle triangle.
From the given right angle triangle
GE represents the hypotenuse of the right angle triangle.
With ∠E as the reference angle,
FE represents the adjacent side of the right angle triangle.
FG represents the opposite side of the right angle triangle.
To determine tan E, we would apply the tangent trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan E = 56/33
Tan E = 1.69697
It becomes 1.70 to the nearest hundredth.
Answer:
y = 8 !!! hope this helps !!
Step-by-step explanation:
380/14= 27.14 miles per gallon
27.14/2=13.57 miles
they wont reach the gas station
