Hi there!
Let t be the number of teachers
Let a be the number of administrators
t+a=24
35,000t+40,000a=860,000
a=24-t
35,000t+40,000(24-t)=860,000
35,000t+960,000-40,000t=860,000
35,000t-40,000t=860,000-960,000
-5,000t=-100,000
t=-100,000/-5,000
t=20
a=24-t
a=24-20
a=4
Therefore there are 4 administrators and 20 teachers.
Hope this helps!
Answer:
Sum of two interior angles=exterior angle




Done!
ΔABC has two congruent angles. Therefore, it is an isosceles triangle.
Therefore we have the equation (1) 3x - 5 = y + 12.
All angles of the ΔDBC are congruent. Therefore it is an equilateral triangle.
Therefore we have the equation (2) 3x - 5 = 5y - 4
From (1) and (2) we have the equation:
5y - 4 = y + 12 <em>add 4 to both sides</em>
5y = y + 16 <em>subtract y from both sides</em>
4y = 16 <em>divide both sides by 4</em>
y = 4
Substitute the value of y to (1):
3x - 5 = 4 + 12
3x - 5 = 16 <em>add 5 to both sides</em>
3x = 21 <em>divide both sides by 3</em>
x = 7
<h3>Answer: x = 7 and y = 4</h3>
Answer:
about 30
Step-by-step explanation:
Convert 74% to a decimal by dividing by 100 or by moving the decimal two places left.
74.% = 0.74
Multiply
0.74 x 40 = 29.6
Round to the nearest whole number
29.6 = 30
It is incorrect because 20 + (-2) = 18, which is rational.