6 and 1/2= 13/2. 13/2*1/6=13/12 so they spent 1 and 1/12 of an hour on recess
(37.5)(12.5)=x(15)
468.75=15x
x=31.25
she will have to work 31.25 hours in order to earn the same amount of money
So we just need to plug in our values and solve
we are given v is 369 so we have
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
so a temp of about 67 degrees C
Answer:
$20.60
Step-by-step explanation:
$25.75 x 20% = $5.15
$25.75 - $5.15 = $20.60
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
