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:
25
Step-by-step explanation:
p=1÷4pir+2r
1÷4×22÷7×7+2(7)
=11cm+14cm
=25
Volume of a pyramid is (L * w * h) / 3
L=10 and w=10
h can be found by using the Pythagorean theorem:
divide the base by 2 and we get 5. Then we have that the hypotenuse is 13 and the bottom of the right triangle we formed is 5. a= sqrt(c^2-b^2)
a=h=12
we plug these numbers into the formula for the volume of a pyramid and get:
400
Answer:
<em>The cost of a gallon of milk changed 31%</em>
Step-by-step explanation:
<u>Percent Change</u>
Is the difference between two values of the same variable in different times or conditions, expressed as a percentage of the original value.
The formula is:
Where
v1 = original value
v2 = final value
The gallon of milk cost v1=$2.90 in 2002 and v2=$3.80 in 2018. The percent change is:
Pc = 31%
The cost of a gallon of milk changed 31%
