Answer:
x > ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Step-by-step explanation:
![\frac{5(9-x)}{3+1}](https://tex.z-dn.net/?f=%5Cfrac%7B5%289-x%29%7D%7B3%2B1%7D%3C11)
Add 3 and 1 to get 4.
![\frac{5(9-x)}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%289-x%29%7D%7B4%7D%3C11)
Use the distributive property to multiply 5 by 9−x.
![\frac{45-5x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B45-5x%7D%7B4%7D%3C11)
Subtract 45/5 from both sides.
![-\frac{5}{4}x](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B4%7Dx%3C11-%5Cfrac%7B45%7D%7B4%7D)
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
![-\frac{5}{4} x](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B4%7D%20x%3C-%5Cfrac%7B1%7D%7B4%7D)
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
![x>-\frac{1}{4} (-\frac{4}{5} )](https://tex.z-dn.net/?f=x%3E-%5Cfrac%7B1%7D%7B4%7D%20%28-%5Cfrac%7B4%7D%7B5%7D%20%29)
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
![x>\frac{-(-4)}{4 x 5}](https://tex.z-dn.net/?f=x%3E%5Cfrac%7B-%28-4%29%7D%7B4%20x%205%7D)
![x>\frac{1}{5}](https://tex.z-dn.net/?f=x%3E%5Cfrac%7B1%7D%7B5%7D)
Well, we need to find the area of the cake. 22.5 times 10 is 225. That is the area then we need to find the area of each piece of cake. 2.5 times 2.5 is 6.26.
so divide the area of the cake by the area of each piece to find how many pieces can be cut.
225/6.25=36 36 pieces of cake can be cut from the cake
The descent rate is 7 feet/second. the subs elevation would be 7 x 10(60) which is 7x 600the sub's elevation would therefore be 4,200 feet below sea level
Therefore the hour hand travels 40.192in in 5 hours
<h3>
How to calculate the area of a sector</h3>
A sector is said to be a part of a circle made of the arc of the circle along with its two radii.
The formula for calculating the area of a sector is expressed as;
A = r²β/2
where
r is the radius of the circle
β is the angle subtended
Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;
β = 360/5
β = 72 degrees
Given the following parameters
r = 16/2
r = 8in
Substitute into the formula
A = 8²(72π)/360
A = 40.192in
Therefore the hour hand travels 40.192in in 5 hours
Learn more on area of a sector here: brainly.com/question/22761976
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Answer:
1/4
Step-by-step explanation: