M² is equivalent to the expression M x M .
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 value of t that makes the factor e^(.032t) have the value of 2 can be found using logarithms.
2 = e^(0.032t)
ln(2) = ln(e^(0.032t)) = 0.032t
t = ln(2)/0.032 ≈ 21.66
It would take 21.66 years for the cost to double.
First you want to turn 1/3 into 5/15.
You can multiply 5/15 x 2 = 10/15. Thats as far as you get.
12/15
-10/15
__________
2/15 Pounds of granola left.
Answer:
<em>Mechanic A worked for 5 hours</em> and <em>Mechanic B worked for 15 hours</em>
I hope my answer and explanation helped!
<u>okay to get started you need to make a system of equations:</u>
x= number of hours worked by mechanic A
y= number of hours worked by mechanic B
x + y= 20
95x + 60y= 1375
<u>substitute in an equation:</u>
x + y= 20
y= 20- x
95x + 60(20-x)=1375
<u>Solve for x</u>
95x + 1200 - 60x=1375
35x =175
x= 5
<u>plug in x to solve for y</u>
x + y= 20
5 + y= 20
y=15
<u>Check work</u>
then you're done :D
