You ANSWER : x=10 Let's solve !
Explanation : Let's solve your equation step-by-step.
1
3
(
2
x
−
8
)
=
4
Step 1: Simplify both sides of the equation.
1
3
(
2
x
−
8
)
=
4
(
1
3
)
(
2
x
)
+
(
1
3
)
(
−
8
)
=
4
(Distribute)
2
3
x
+
−
8
3
=
4
Step 2: Add 8/3 to both sides.
2
3
x
+
−
8
3
+
8
3
=
4
+
8
3
2
3
x
=
20
3
Step 3: Multiply both sides by 3/2.
(
3
2
)
*
(
2
3
x
)
=
(
3
2
)
*
(
20
3
)
x
=
1
Answer:
b = 30
Step-by-step explanation:
The sum of the 2 angles above the line will equal the angle below the line
3b + b - 15 = 2b + 45
4b - 15 = 2b + 45 ( subtract 2b from both sides )
2b - 15 = 45 ( add 15 to both sides )
2b = 60 ( divide both sides by 2 )
b = 30
8 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:the rate of the plane in still air is 830 km/h
the rate of the wind is 160 km/h
Step-by-step explanation:
Let x represent the speed of the plane in still air.
Let y represent the speed of the wind.
Flying against the wind, an airplane travels 3350 kilometers in 5 hours. It means that the total speed of the airplane would be x - y
Distance = speed × time
Therefore
3350 = 5(x - y)
3350 = 5x - 5y - - - - - - - - - - - - 1
Flying with the wind the same plane travels 7920 in 8 hours. It means that the total speed of the airplane would be x + y
Therefore
3350 = 8(x + y)
7920 = 8x + 8y - - - - - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 5, it becomes
26800 = 40x - 40y
39600 = 40x + 40y
Adding both equations, it becomes
66400 = 80x
x = 66400/80
x = 830
Substituting x = 830 into equation 1, it becomes
3350 = 5 × 830 - 5y
3350 = 4150 - 5y
5y = 4150 - 3350 = 800
y = 800/5 = 160
