Let us take the second equation first
2a + 2b = 6
Dividing both sides by 2 we get
a + b = 3
a = 3 - b
Putting the value of a in the first equation we get
3a + 4b = 9
3(3 - b) + 4b = 9
9 - 3b + 4b = 9
b = 9 - 9
= 0
Now putting the value of b in the second equation we get
a + b = 3
a + 0 = 3
a = 3
So the value of the unknown variable a is 3 and the value of the unknown variable b is 0.
Anywhere from 7 - 13 hours
Answer:
Rate of change = 0.5
Initial value = 120
Step-by-step explanation:
(10 , 125) ; (30 , 135)
Slope = 

Rate of change = 0.5
Initial value = 120
Answer:
39.75
Step-by-step explanation:
First, subtract 50 from both sides
200z + 50 - 50 = 8000 - 50
200z = 7950
Then isolate the variable by dividing both sides by 200
200z/200 = 7950/200
z=39.75
Answer:
1.55 feet.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle R = 24°
Hypothenus = RS = 3.8 feet
Opposite = ST = x
The value of x can be obtained by using the sine ratio. This is illustrated below:
Sine R = Opposite / Hypothenus
Sine 24 = x / 3.8
Cross multiply
x = 3.8 × Sine 24
x = 3.8 × 0.4067
x = 1.55 feet
Thus, the Lenght ST is 1.55 feet.