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-Dominant- [34]
3 years ago
9

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea

should the caterer bring if there are 16 cups in one gallon?
Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0
1 min = 4cups
60 min = 1hr
4×60 =240
1hr=240 cups
2hrs = 480 cups
1 gallon = 16 cups
480/16 = 30 gallons

The caterer should bring 30 gallons of tea
Nat2105 [25]3 years ago
4 0
In 2 hours you would need 30 gallons of tea.
Explanation:
4cups/per minute x 1 gallon/16cups x 60minutes/1 hour = 240gallons/16hours
240gallons/16hours = 15gallons/1 hour
15gallons/1 hour x 2 = 30 gallons/2 hours
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x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

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35 × tan40° = x , then

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(b) Find the intersections of the line y=1 with y=e^{2x-x^2}.

1=e^{2x-x^2}\implies 0=2x-x^2\implies x=0,x=2

So the area of S is given by

\displaystyle\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}(2-1)\,\mathrm dx+\int_{1+\sqrt{1-\ln2}}^2\left(e^{2x-x^2}-1\right)\,\mathrm dx
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Answer: x = 13.4

Step-by-step explanation:

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2. Using Laws of Sine, plug in the known elements of the triangle:

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3. Cross multiply, this will leave 16sin(57) = xsin(90)

4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))

5. Plug this into a calculator and your final answer should be 13.4

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