Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6
Answer:
60%
Step-by-step explanation:
The fraction 12/20 in simplest form would be 6/10 which come be converted to a percentage. (6x10)/(10x10)=60/100 or 60%.
Answer:
look at explanation
Step-by-step explanation:
To solve all of these questions you just need to scale. While scaling you can divide or multiply.
1. 
(divide by 4 to get unit rate)
unit rate = 
2. If it takes one hour to travel 40 miles, then we don't have to scale or anything. We know 
, the answer is...
"It'll only take one hour to travel 40 miles. This is correct because the unit rate is . "
3. Knowing that the constant speed of the plane is 
, we can scale then add half of the unit rate to get our answer.
x 3 = 
800 x 3 = 2400
then add half of unit rate which is 
![\sqrt[2]{800}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B800%7D)
= 400
so, our answer is 
4. 
<--- ( divided by 2) 
( multiplied x 2.5) ---> 
To get an easier way to find the answer, if possible you can scale back farther than the 1 hour mark.
Elmer would take 2 and a half hours to ride 15 km.
5. The boys speed is 
. All we need to do is divide by 2. ![\sqrt[2]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B8%7D)
= 4
Answer:
8.95feet
Step-by-step explanation:
The set up is a right angled triangle where;
The camera's horizontal distance from the focus point = 26feet = Adjacent;
The height of the camera above the floor = Opposite = x
Angle of elevation = 19°
According to TOA in trig identity;
Tan theta = opp/adj
Tan 19 = x/26
x = 26tan 19
x = 26(0.3443)
X = 8.95feet
Hence the camera is placed at a height of 8.95feet above the floor
