Answer:
x = 14
Step-by-step explanation:
Solve for x:
4 x - 2 (x - 8) = -12
-2 (x - 8) = 16 - 2 x:
4 x + 16 - 2 x = -12
4 x - 2 x = 2 x:
2 x + 16 = -12
Subtract 16 from both sides:
2 x + (16 - 16) = -16 - 12
16 - 16 = 0:
2 x = -16 - 12
-16 - 12 = -28:
2 x = -28
Divide both sides of 2 x = -28 by 2:
(2 x)/2 = (-28)/2
2/2 = 1:
x = (-28)/2
The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:
Answer: x = -14
Answer:
Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:
Solving (a): Represent as a linear equation
First, we calculate the slope:
This gives:
The linear equation is then calculated using:
Where
Make F the subject
Solving (b): The value of F when C = 30
Substitute 30 for C in
Answer:
Write a time equation, time = dist/speed
:
go time + return time = total time
d%2F16 + d%2F15 = 7.75 hrs
multiply equation by the least common multiple 240, cncel the denominators:
15d + 16d = 240(7.75)
31d = 1860
d = 1860/31
d = 60 km one way
total dist = 120 km
:
Check this, find the actual time each way
60/16 = 3.75 hrs
60/15 = 4 hrs
-----------------
total time 7.75 hrs
Step-by-step explanation:
Answer:
14π
Step-by-step explanation:
The equation for circumference is
C = π* diameter
AB is the diameter, so the circumference is 14π
