Answer:
8 or 9
Step-by-step explanation:
So, you first need to take 4/5 of 400 (320). Then, you can count by 75s for a bit
75students; 2chaperones
150; 4
225; 6
300; 8
now, you have 20 students left over...since one chaperone would watch about 37 kids, you can either divide the remaining kids up among the other chaperones, or you can add one more chaperone to watch the 20 kids. i don't know what the teacher wants, so either 8 or 9 chaperones
Answer:
5 presents
Step-by-step explanation:
40 presents in 2 hours
20 presents in 1 hour (divide by 2)
20 presents in 60 minutes ( 1 hour is 60 minutes )
5 presents in 15 minutes ( divide by 4)
Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
![\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}](https://tex.z-dn.net/?f=%5Cfrac%7Bcosx%281-cos%5E2x%29%7D%7Bsinx%7D%5B%2Ftex%20%3D%20%5Btex%5D%5Cfrac%7Bcosxsin%5E2x%7D%7Bsinx%7D)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × 
= sinx
= sinx( 
+ 
)
= + 
= tanx + 1 = right side ⇒ verified
110x0.7= 77
110-77= 33
so 33 is your answer
Answer: 3/10
Step-by-step explanation: (1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or
3/10 gallons fills a whole bin...
