Step-by-step explanation:
<u>5 teachers for every 115 students </u>
- 1 teacher for every 115/5 = 23 students
<u>3 tutors for every 27 students</u>
- 1 tutor for every 27/3 = 9 students
<u>If there are 90 students, then number of tutors:</u>
Answer:
The reference angle is 
Step-by-step explanation:
The given angle is 
The reference angle is the acute angle, that a given angle makes with the x-axis.
First let us make a sketch of the given angle. <em>See diagram in attachment.</em>
Let 
be the reference angle of
Then, from the diagram, we need to subtract from 
to get to 
.
We can therefore write the following equation and solve for .
We group like terms to get,
We collect LCM to get,
We simplify to get,
We divide through by 
to get,
The correct answer is D.
Answer:
149 whole pastries with an extra .45 cents
or 148.78 for exact money
Step-by-step explanation:
plato
A) x=23-17=6
b) x=29-11=18
c) x x = 4 ---> x=+2or-2
d) x=75/3=25
e) x=42(37)=1554
Answer: 21/400
Step-by-step explanation:
Multivitamin:
8 cherry, 5 grape, and 7 orange
Total fruits in Multivitamin container :
(8 + 5 + 7) = 20
P(orange) = Total required outcome / Total possible outcomes)
P(orange) = 7/20
Calcium vitamin :
11 berry, 3 lemon, and 6 pineapple
Total fruits in calcium vitamin container:
(11 + 3 + 6) = 20
Probability of picking a lemon:
P(lemon) = Total required outcome / Total possible outcomes)
P(lemon) = 3/20
Therefore, probability of picking an orange and a lemon equals:
P(orange) × p(lemon) = (7/20) × (3/20) = 21/400
