Solve for b in y = mx + b.
Subtract b from both sides, then subtract y from both sides.
-b = mx - y
C) mx - y = -b
Answer:
x = 7
Step-by-step explanation:
the smallest common denominator between 2 3 and 6 is 6. Multiply the original equation by 6
- 6(x/3 + x/6 = 7/2)
- 6(x / 3) = 2x
- 6(x/6) = x
- 6(7/2) = 3*7 = 21
Result
- 2x + x = 21
- 3x = 21
- 3x/3 = 21/3
- x = 7
Check
- 7/3 + 7/6 = 7/2
- 14/6 + 7/6 = ? 7/2
- 21/6 =? 7/2
- 21/6 = 3.5
- 7/2 = 3.5
Answer: x = 7
Letter C is true. Hope this helped!
Answer:
if a group of 6 friends wanted to share 48 cookies evenly wiht everyone, each friend would get 8 cookies
Step-by-step explanation:
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
