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Mila [183]
3 years ago
11

A teacher has a 2-gallon (32-cup) container of juice. She gives each student One-half cup of juice. Which equation represents th

e amount of juice that remains, y, after x students are served?
Mathematics
1 answer:
Talja [164]3 years ago
4 0

Answer:

Step-by-step explanation:

You would need to figure out how many students, so for example let's say 24 students, if she gives each student half a cup (a pint) and there is 32 cups 32 x 2 = 64, Then you would want to divide 64 by 2, that would give you 32 pints. So each student gets 32 pints of juice. Could be different if the number of students weren't 24. You're welcome!

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The population of a town increases by 4 % every year . In the last year the population of the town was 110000.
TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

P(y) represent the total population, and y represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

P(y)=110000(1.04)^y

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

P(1)=110000(1.04)^1=114400

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

P(2)=110000(1.04)^2=118976

The population next year will be 118,976 people.

3 0
3 years ago
Explain why a-e are false statements
poizon [28]

Step-by-step explanation:

If g(a)=0, the limit necessarily doesn't have to not exist. If a limit approach an asymptote, it would approach positive infinity or negative infinity.

5 0
1 year ago
An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away
daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85

Therefore, the height of the airplane above the tower is 1,819.85 feet.

8 0
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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

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X=(b/2m)*y-e is the answer I believe.
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