Answer:
x = 2.25, y = 2.5
Step-by-step explanation:
-2x + 2y = -2 .............equ (1)
2x + 3y = 12 .............equ (2)
equ (1) + equ (2)
-2x + 2y = -2
+ 2x + 2y = 12
=> 0 + 4y = 10
=> 4y/4 = 10/4
=> y = 2½
Substitute for y in equ (2)
i. e, 2x + 3y = 12
=> 2x + 3(10/4) =12
=> 2x + 30/4 = 12
=> 2x = 12 - 30/4
=> 2x = (48 - 30)/4
=> 2x = 18/4
=> 8x = 18
=> x = 18/8
=> x = 2^2/8 or 2.25
x = 2.25, y = 2.5
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.
Answer:
6 units by 7 units should be the dimensions
Please mark brainliest
Answer:
9c^2
Step-by-step explanation:
12× fraction (-5c)(-3c^5) over (20c^4)
Multiply the top of the fraction
12× fraction 15c^6 over 20c^4
divide the top number and bottom number by 5
12× fraction 3c^6 over 4c
multiply 12 with the fraction
12/1 × 3c^2/4 = 36c^2/4
divide each side by 4
36c^2/4 ÷ 4 =9c^2/1
The answer is 9c^2.
Formula for the surface area of a hexagonal prism: A = 6
* a * h + 3
* a^2
