Answer:
Step-by-step explanation:
- 5/6 x 48 =
- 5 x 48/6 =
- 5 x 8 =
- 40
Distance = rate times time.
Let the first cyclist's rate be r1 and the 2nd cyclist's rate be r2.
Let r2 = r1 + 10 (km per hour).
The total distance between them after 3 hours is 174 km; using the distance= rate times time formula, we also get:
r1(3 hrs) + r2(3 hrs) = 174 km
Then
r1(3 hrs) + (r1+10)(3hrs) = 174 km
Then 3r1 + 3r1 + 30 = 174
6r1 = 144, and r1 = 24 km/hr. Then r2 = (24 + 10) km/hr = 34 km/hr.
Answer:
I solved it and my answer is - 2
Step-by-step explanation:
5x+6=8x+12
5x-8x =12 - 6
-3x =6
Divide by - 3
X=-2
Answer:
y =
x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - 2y = - 6 into this form
Subtract 3x from both sides
- 2y = - 3x - 6 ( divide all terms by - 2 )
y =
x + 3 ← in slope- intercept form
with slope m = 
• Parallel lines have equal slopes, hence
y =
x + c ← partial equation of parallel line
To find c substitute (4, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y =
x - 4 ← equation of parallel line

the values of x are -7/5 and -7/8 .