Answer:
The next time both will leave the bus station at the same time is 7:15 a.m.
Step-by-step explanation:
Since 15 and 75 are multiples to each other.
So, L.C.M. of 15 and 75 is 75.
So, after 75 minutes both buses will leave the station at the same time.
Also since buses begin their routes at 6 a.m.
So, next time they will meet at
6 hours 0 minutes + 75 minutes = 7 hours 15 minutes = 7:15 a.m.
I think it's equal
____________
Answer:
46.95 in.²
Step-by-step explanation:
Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H
Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²
Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.
Height of prism (H) = 10 in.
Plug in the values
Surface area = 1.95 + 4.5*10 = 46.95 in.²
Answer:
Step-by-step explanation:
1 n=0
1 1 n=1
1 2 1 n=2
1 3 3 1 n=3
1 4 6 4 1 n=4
1 5 10 10 5 1 n=5
1 6 15 20 15 6 1 n=6
This is where n is the exponent in
.
Now we want to expand:
or we we can rewrite as 
.
Let's replace 
with 
and 
with 
in the expansion:
Let's simplify a bit:
Good morning ☕️
______
Answer:
x=4
___________________
Step-by-step explanation:
-Solving:
2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4
2x + 5 – 6x + 21 = 6x – 10 – 4
-4x + 26 = 6x - 14
10x= 26+14
10x=40
x=4
-Checking:
x=4
2(4) + 5 – 3 (2(4) - 7) = 8+5-3(8-7) = 13-3(1) =13-3=10
2 (3(4) – 5) – 4 = 2(12-5)-4 = 2(7)-4=14-4=10.
_______________________________
:)
