Answer:
I believe it's A) 5x + 6y = 58 8x + 11y = 97
Step-by-step explanation:
Reason is, adult tickets and child tickets are two different things, so they require two different variables, and two different equations because they have two different sums. (This was probably already obvious to you though).
Hope this helps :)
I tried my best to explain.
Answer:
1.7
Step-by-step explanation:
1. Find the volume of Glass 2 (volume of a cone = 1/3πr² ·h)
1/3 · 3.14 · 2.5² · 6 = 39.25 cm³
2. Subtract the volume of Glass 2 from the amount of water poured
60 - 39.25 = 20.75 cm³
3. Set up the equation for Glass A using x for the height being solved for (volume of a cylinder = πr² · h)
3.14 · 2² · x = 20.75
12.56x = 20.75
4. Solve for x by dividing both sides by 12.56 (round to the nearest tenth)
x = 1.7
Answer:
a) 45 g
b) greater (make the graph youself on desmos or something)
c) 9/4
Step-by-step explanation:
area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9
mass = density * area = 5 * 9 = 45 grams
area = y*deltax = x^2*deltax
x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4
Answer:
The answer is given in the graph attached.
Step-by-step explanation:
i) The answer is given in the graph attached.
Answer:
The reasoning here is that the price should be based on the volume.
for a cylinder it's pi * r² * height
for a cone it's 1/3 * pi * r² * height
you'll notice that the formulas are the same, except that the cone is just one third of the cylinders volume.
so a fair price should be 70ct, ignoring packaging of course.