Answer:
450 students
Step-by-step explanation:
Let s = number of students
1/2 are Americans 1/2s are Americans
s -1/2s = number of students left
1/2 s = number of students left
1/3 of the students left are Europeans
1/3 (1/2s) = 1/6s are Europeans
The rest are Australians = 150
Students = Americans + Europeans + Australians
s = 1/2s + 1/6s + 150
Combine like terms
s = 1/2*3/3 *s + 1/6s +150
s = 3/6s + 1/6s +150
s = 4/6s + 150
Subtract 4/6s from each side
s -4/6s = 150
6/6s - 4/6s = 150
2/6s = 150
1/3s = 150
Multiply each side by 3
3* 1/3s = 150*3
s = 450
There are 450 students
Answer:
23
Step-by-step explanation:
25.73−2.19
=25.73−2.19
=25.73+−2.19
=23.54
Answer:
4th degree polynomial with leading coefficient of 1.
As x goes to negative or positive infinity, y goes to positive infinity in both cases.
Step-by-step explanation:
The degree of a polynomial is the highest exponent on the variable. Here it is 4.
The leading coefficient is the coefficient on the the term with the highest degree, Here there is none so it is 1.
The end behavior is how x and y behave at negative and positive infinity. When graphed, this equation has a W shape. This means at each end y goes to positive infinity.
Well -12 * i is equal to -12 √-1
Answer:
137°
Step-by-step explanation:
All angles in a triangle add up to 180° always.
Now imagine the two smaller shapes as a bigger triangle, CED. The measure of angle CED is 89°, and CDE is 48°. Do the math, and angle DCE is 43°.
But notice how the corresponding sides of the two smaller shapes are congruent. (CX=XE, and DY=YE) Meaning, the measure of angle C is equal to the measure of angle YXE.
We're almost there. CXY (what we're looking for) and YXE are supplementary angles, meaning the angle measures add up to 180. 180-43 = 137°.
