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:
m<23 = 57° & m<24= 33°
Step-by-step explanation:
You have to create an equation that equals 90°.
(x+24)+x=90
2x+24=90
2x=66
x=33
m<23 = 33+24= 57° so m<23= 57°
m<24= 33°
Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 4(1 + 3i) – (8 – 5i)
= 4 + 12i - 8 + 5i
He did not distribute the subtraction sign correctly for 8 – 5i.
= -4 + 17i
Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ1
First off, remember PEMDAS. Then replace the variables with the values.
3(2x3)^2
First distribute the exponent to the value on the inside.
3(4x9)
Then multiply the 4 and 9.
3(36)
After that just distribute the 3.
3x36 = 108.
By the Triangle Angle-Sum Theorem, all the angles in a triangle have to add up to equal 180. Therefore, 180-35-88=57, second choice down.