Mike sold 99 bags of caramel corn,60 bags of buttered popcorn,and 109 bags of lighted buttered corn
Make sure you study, and if necessary, do some practice problems. Then, check to make sure you are right, and if not, find out why, and correct your mistakes.
Answer:
The correct option is C.
Step-by-step explanation:
The bike shop owner rents out bikes and scooters.
The cost to rent a bike is $15 plus $8 per hour for each hour the bike is rented.
Rent of bike = Fixed rent + Variable rent
The rent function of a bike is
Where, t is number of hours.
The cost to rent a scooter is $35 plus $5 per hour for each hour the scooter is rented.
The rent function of a scooter is
Where, t is number of hours.
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
So by slope intercept form the rate of change of bike is $8 and rate of change of scooter is 5.
8>5
Therefor option C is correct.
The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.
<h3>How to calculate the area of the sector?</h3>
The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is
A = (θ/360) πr² sq. units
<h3>How to calculate the area of a triangle with an angle?</h3>
The area of the triangle with measures of two sides and an angle between them is
A = 1/2 × a × b × sinC sq. units
Where a and b are the lengths of sides and ∠C is the angle between those sides.
<h3>Calculation:</h3>
It is given that,
The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².
Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,
Area of the shaded region = Area of the sector - Area of the triangle
⇒ 78.6794 - 70.4956
⇒ 8.1838 cm²
Therefore, the required area of the shaded region is 8.1838 sq. cm.
Learn more about the area of a sector here:
brainly.com/question/22972014
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Answer:
-19
Step-by-step explanation:
4x-8(2-x)
4x-16+8x
12x-16
12(-1/4)-16
-12/4-16
-3-16
-19
