Answer:
x = 1/2 or 0.5
Step-by-step explanation:
3x - 4 = x +5 (1) subtract x
2x - 4 = 5 (2) subtract 5
2x + 1 (3) divide by 2
x = 1/2 or 0.5
Answer:
$1.95
Step-by-step explanation:
notebook = n
pencil = p
3n + 2p = 5.10
2n + 3p = 4.65
multiply top equation by 2 and bottom by 3
6n + 4p = 10.20
6n +9p = 13.95
subtract bottom equation from the top equation
-5p = -3.75
divide by 5, negatives cancel out
p = 0.75
sub p into either equation, I chose the original top equation
3n + 2(0.75) = 5.10
3n + 1.50 = 5.10
subtract 1.50 from both sides
3n = 3.60
divide both sides by 3
n = 1.20
p = 0.75
n + p = 1.95 (the fourth option)
Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
<u>Time (trip)</u> = t + 1 = 4 + 1 = 5 hours
Yes -4 is a interference number
Answer:
the slope of line j is -1/8, the slope of lines m and n are both 8.
Explanation step by step:
Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:
1. line j is perpendicular of line m, so j*m= -1
2. J is perpendicular of line n, so j*n=-1
3. m and n and parallel so m=n
As we want to know the slope of j we clear the equations presented to us in order to find it.
(1) m* n* j = -8, since n=m we have 
* j = -8.
we clear j; 
replacing in the equation n*j = -1 we get
n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.
