Answer:
Step-by-step explanation:
<u>The area of the tabletop:</u>
- A = πr² = πd²/4 = 3.14*4²/4 = 12.56 ft²
<h3>
Answer:</h3>
It would be 21b² -32b -5
<h3>
Step-by-step explanation:</h3>
By using the FOIL method, you can simplify the equation.
<em>The Foil Method is </em><u><em>ac + ad + bc +bd</em></u><em>, or </em><u><em>First, Outer, Inner, Last.</em></u>
First, you multiply the first term in each bracket.
3b * 7b = 21b²
Next, you multiply the outer term in each bracket.
3b * 1 = 3b
Then, you multiply the inner term in each bracket.
-5 * 7b = -35b
After that, you multiply the last term in each bracket.
-5 * 1 = -5
Lastly, you combine like terms.
21b² + 3b -35b -5 ---> 21b² -32b -5
<em>21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.</em>
4th option is correct: 16 R5
Answer:
a)
Lowell: 4 counselors
Fairview: 9 counselors
b)
2 new counselors
Step-by-step explanation:
How many counselors should be assigned to each school using Hamilton's method?
Number of students
Lowell: 3584
Fairview: 6816
Total number of students: 10400
Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800
<u>Temporal assignment</u>
3584/800 = 4 + 0.48 ==> 4 counselors for Lowell
6816/800 = 8 + 0.52 ==> 8 counselors for Fairview
There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.
<u>Final assignment</u>
Lowell: 4 counselors
Fairview: 9 counselors
The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school
1824/800 = 2 + 0.28
<em>Two new counselors should be hired.</em>
Answer:
^4
−
9
^
3
+
2
7
^2
−
4
0
+4
8
Step-by-step explanation: