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.
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
Based on the picture, we know that ED is equal to DB. Therefore:
2 times ED=EB
2(10)=20
EB is 20
Answer:
0 in²
Step-by-step explanation:
Maybe it would help to show some lines or something shape-like.
Answer:
X=151
Step-by-step explanation:
1. 61+90= 151
-Combine the two given angles
2.180-151= 29
-Subtract the total of the two combined from 180 because all 3 angles of a triangle add up to 180.
-29 is your difference which is also the angle next to X.
3.180-29= 151
-To find angle X you subtract 29 from 180 because angle X and 29 are supplementary angles that add up to 180.
-Therefore X=151
