<span>Equation (1) x + y = 200
Eauation (2) x = y - 40
x represents the distance from the original location to the firstt city
y represents the
distance from the first city to the second city.
Solution:
(1) x + y = 200
(2) x - y = - 40
----------------------
2x = 200 - 40
2x = 160
x = 160 / 2
x = 80
x + y = 200 => y = 200 - x = 200 - 80 = 120
Therefore the solution (x,y) is (80,120)
Answer: the pair of coordinates that represents the solution (in miles) to this system of
equations is (80, 120) </span>
Answer: 20.833mph.
Step-by-step explanation:
Using the motion Formula,
speed = distance/time.
This means:
distance = speed * time.
To find the value of "s" in the question, we have to calculate the distance both trains travelled in terms of "s" and sum it to give us 300miles.
For train A,
Speed = S miles per hour
time taken to reach current position= 7hours.
Hence, the distance travelled by train A
Distance A = 7s.
For train B,
Speed= (S + 10)miles per hour.
time taken to reach current position= 5hours (since train B left two hours after the departure of train A)
Distance = speed * time
Distance B = (S + 10) * 5
Distance B = 5s + 50.
Hence, adding both distance to sum up to 300miles, it becomes:
300 = 7s + 5s + 50
300-50 = 12s
250 = 12s
s = 20.833mph.
The answer to this question is "you gained profit". The amount of money you gain from selling the stocks now is higher compared to the amount you spent a year ago. The amount you gain from the shares is ($62.25) x 723 = $45006.75. The amount you spent last year is ($47.75) x 723 = $34523.25. The difference between the values is $10483.47. Thus, you gained $10483.47.
Answer:
2/3
Step-by-step explanation:
32(4x – 1) – 3x = 54 –(x + 2)
⇒ 32×4x-32-3x= 54-x-2 (using the distributive property)
⇒ 128x-32-3x=54-x-2
Taking terms on x on one side and constant term on other, we get
128x-3x+x= 54-2+32
⇒ 126x= 84
⇒ x= 84/126
⇒ x= 2/3
ik this might not make sense but hope this helps
The perimeter of the larger Pentagon is 35in. You do 7 times the number of sides (7×5), because all the sides are congruent, which should equal 35.