Answer:
The two numbers are:
30 and 18
Step-by-step explanation:
a + b = 48
a - b = 12
From the first eq.
a = 48 - b
Replacing this last value in the second eq.
(48 - b) - b = 12
48 - 2b = 12
48 - 12 = 2b
36 = 2b
36/2 = b
18 = b
from the first eq.
a + 18 = 48
a = 48 - 18
a = 30
Check:
from the second eq.
a - b = 12
30 - 18 = 12
Part A.
Amount of money earned = Regular rate per hour *
Number of working hours
M = 12 x
Part B.
Amount of wages earned = Regular rate per hour *
Maximum number of regular working hours + Overtime rate per hour * Excess
working hours
T = 12 * 30 + 16 * y
T = 360 + 16 y
or
T = 16 y + 360
Part C.
Given T = 408, find y:
408 = 16 y + 360
y = 3 hrs
Therefore the total hours Gary worked that week
is,
<span>x + y = 30 + 3 = 33 hrs </span>
<span>(x = 30 since that is the maximum limit for regular working
hours)</span>
Answer:
8 - i
General Formulas and Concepts:
<u>Algebra I</u>
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(3 - 4i) + (5 + 3i)
<u>Step 2: Simplify</u>
- Combine like terms (Z): 8 - 4i + 3i
- Combine like terms (i): 8 - i
Answer:
the y intercept are 0,0 the x intercepts are -8 '3
Step-by-step explanation:
remember solpe equal rise over run an m = x2 - x1
over
y2 - y1
