- The answer is A = x since the opposite sides of a rectangle are the same length.
- We'll have B = 9x+2 since this must add to x+4 to result in 10x+6. You could also do (10x+6) - (x+4) and you'll end up with 9x+2.
- On the far left side, (5x-3)+A = 5x-3+x = 6x-3. The far right side must add to this. So, x+C+x-2 = 6x-3 turns into C = 4x-1 after isolating C.
- Multiply out (5x-3) with (9x+2) to get the full area of 45x^2-17x-6. The steps are shown below
(5x-3)(9x+2)
5x(9x+2)-3(9x+2)
45x^2+10x-27x-6
45x^2-17x-6
You could also use the FOIL rule to get this answer. The box method is another alternative.
The inequality
gives the least number of buses, b, needed for the trip. The least number of buses is 9
<u>Solution:</u>
Given that, There are 412 students and 20 teachers taking buses on a trip to a museum.
Each bus can seat a maximum of 48.
We have to find which inequality gives the least number of buses, b, needed for the trip?
Now, there are 412 students and 20 teachers, so in total there are 412 + 20 = 432 travelers
<em><u>The number of buses required “b” is given as:</u></em>


Number of buses required ≥ 9 buses.
But least number will be 9 from the above inequality.
Hence, the inequality
gives least count of busses and least count is 9.
It's C. In order to be in standard form you have to have all your exponents in descending order. They don't all have to be there in order, the ones that are just have to go from highest to lowest.
Answer:
30 m/s
Step-by-step explanation:
<em>p = mv</em>
<em>momentum</em><em> </em><em>=</em><em> </em><em>mass</em><em> </em><em>×</em><em> </em><em>velocity</em>
<em>here</em><em> </em><em>the</em><em> </em><em>momentum</em><em> </em><em>is</em><em> </em><em>60kgm</em><em>/</em><em>s</em>
<em>mass</em><em> </em><em>is</em><em> </em><em>2kg</em>
<em>substitute</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equation</em>
<em>6</em><em>0</em><em> </em><em>=</em><em> </em><em>2v</em>
v= 30m/s