Answer:
Step-by-step explanation:
T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.
8 x - 4 (5 - x) = -44
mutiply the bracket by -4
(-4)(5) = -20
(-4)(-x)= 4x
8x-20+4x= -44
8x+4x-20= -44 ( combine like terms )
12x-20= -44
move -20 to the other side
sign changes from -20 to +20
12x-20+20= -44+20
12x= -44+20
12x= -24
divide both sides by 12
12x/12= -24/12
Answer: x= -2
Answer:
Length of the canal on the map is 16.4 centimeters.
Step-by-step explanation:
If actual length of Panama Canal = 20 kilometers
and length of the canal on map = 4 centimeters
Then scale factor = 
= 
= 
If the actual length of Panama Canal = 82 kilometers
Then the length of canal on the map = Actual length × Scale factor
= 
= 16.4 centimeters
Therefore, length of the canal on the map is 16.4 centimeters.
X/3 +4 = 5+x/6
6(x/3 +4 = 5+x/6)
2x+ 24 = 30 +x
x= 6
Answer:
88
Step-by-step explanation:
Given:
(h⁴ + h² – 2) ÷ (h + 3).
We could obtain the remainder using the remainder theorem :
That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).
Using the reminder theorem,
Equate h+3 to 0 and obtain the value of h at h+3 = 0
h + 3 = 0 ; h = - 3
Substituting h = - 3 into (h⁴ + h² – 2) to obtain the remainder
h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88
Hence, remainder is 88
