Answer:
x=3+3/4
Step-by-step explanation:
1+4x/6=3.5
We move all terms to the left:
1+4x/6-(3.5)=0
We add all the numbers together, and all the variables
4x/6-2.5=0
We multiply all the terms by the denominator
4x-(2.5)*6=0
We add all the numbers together, and all the variables
4x-15=0
We move all terms containing x to the left, all other terms to the right
4x=15
x=15/4
x=3+3/4
Answer:
Step-by-step explanation:
Given that
Slope m=-3
A point (x, y)=(4,-2)
Equation of a line can generally be written as
y=mx+c
Where, m is the slope
And c is the intercept on y-axis
Since we are given m=-3
Then, y=mx+c becomes
y=-3x+c
To get c, let substitute the point given, i.e x=4 and y=-2
y=-3x+c
-2=-3(4)+c
-2=-12+c
-2+12=c
c=-2+12
c=10
y=mx+c, then m=-3 and c=10
Then, the equation the line becomes y = -3x + 10
This is the required line equation
Answer:
kinda hard
Step-by-step explanation:
Answer:
b~ 32
Step-by-step explanation:
Answer:
rate of motorboat: b
rate of current: c
So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$
Step-by-step explanation:
d = rt
200 = (b - c)\cdot 5
200 = (b + c)\cdot 4
b - c = 40
b + c = 50
Adding these equations, we get:
2b = 90
b = 45
So
c = 50 - 45 = 5
<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>
Hope this helps :)