Answer:
1 69/145 cups
Step-by-step explanation:
We can use ratio's to solve this problem. We will put water over time
214 cups x cups
--------------- = --------------
145 hours 1 hours
Using cross products
214 *1 =145 x
Divide both sides by 125
214/145 = 145x/145
214/145 = x
145 goes into 215 1 time with 69 left over
1 69/145
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
Answer:Ava will have a total of 8 trips to make to total of 25 kilometers
Step-by-step explanation:
Total distance that Ava has already cycled this year is 9 kilometers.
she plans to cycle 2 kilometers during each trip to work.
Let x represent her number of trips to work. Therefore, for Ava to make a total of 25 kilometers, it means that
2x + 9 = 25
Subtracting 9 from both sides of the equation, it becomes
2x + 9 - 8 = 25 - 9
2x = 16
x = 16/2 = 8
7 months because after the 100 dollars u add u 25 7 times to get 275
