Answer:
Yes. Distributive property
Step-by-step explanation:
3(a + b)
Opening bracket
= 3(a) + 3(b)
= 3a + 3b
Answer:
Interval notation: 
Step-by-step explanation:
<u>First inequality:</u>
<u />
Therefore, this inequality restricts:
<u>Second inequality:</u>
Therefore, this inequality restricts:
Therefore, with both of these restrictions together, we have:
.
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
Answer:
Paco contributed = 360pesos
Juan contributed = 504pesos
Question:
Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.
Step-by-step explanation:
Let the common factor between each brother = p
Paco gave = 5×common factor = 5p
Juan gave = 7×common factor = 7p
Total money contributed by both brothers = 864
Total money contributed by both brothers = 5p + 7p
5p + 7p = 864
12p = 864
p = 864/12
p = 72
Paco contributed = 5p = 5×72 = 360pesos
Juan contributed = 7p = 7×72 = 504pesos
