9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
Answer:
$1269.23
Step-by-step explanation:
Since Sarah is paid biweekly (every 2 weeks), and there are 52 weeks in a year...
÷ 
Sarah is being paid 26 weeks out of the year.
Divide 33,000 by 26 (I only list 4 places after the decimal):
÷ 
Round 1269.2307 to the nearest cent (hundredth):

Answer:
0.093 ft/min
Step-by-step explanation:
V = 4/3 π r³
Take derivative with respect to time:
dV/dt = 4π r² dr/dt
Plug in values:
141 = 4π (11)² dr/dt
dr/dt = 141 / (484π)
dr/dt ≈ 0.093
The radius is increasing at 0.093 ft/min.
Answer:
(2,2) is the solution of the given lines.
Step-by-step explanation:
Given that,
y = x ..(1)
y = 3x-4 ...(2)
We need to find the coordinates of the point of intersection.
From equation (1) and (2).
x=3x-4
4 = 3x-x
4 = 2x
x = 2
Also,
y = 2
<h3>Hence, the coordinates of the point of intersection is (2,2).</h3>