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Paha777 [63]
3 years ago
10

The Hamptons family has a fish tank holding 10,450 ml of water. The water is leaking at a rate of 270 ml per minute. Define the

input and output in the given scenario
Mathematics
2 answers:
Serggg [28]3 years ago
3 0

The input is any variable which goes into the system. In this case there is no input.

 

<span>While the output is any variable going out of the system. In this case the output is the amount of water which leaked out.</span>

lesya692 [45]3 years ago
3 0

Answer:

The number of minutes represents input and remaining water represents output.

Step-by-step explanation:

Given,

The original quantity of the water in the tank = 10,450 ml,

Also, the quantity of the water leaked per minute = 270 ml,

Thus, the quantity water leaked in x minutes = 270x

∵ Remaining water in the tank ( say y ) = Original water - leaked water

⇒ y = 10450 - 270x,

Which is the equation that shows the given scenario.

In this equation, x represents the input value and y represents the output value,

Hence, the number of minutes represents input and remaining water represents output.

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Micah is saving for a new skateboard. It costs $65, including tax. Micah has already saved $37. What in the equation?
RSB [31]

Answer:

x + 37 ≥ 65

Step-by-step explanation:

Given:

Money Micah wants = $65

Money Micah had = $37

Find:

Money Micah need

Computation:

Money Micah need(x)

x + 37 ≥ 65

So,

Money Micah need = 65 - 37

Money Micah need = $28

5 0
3 years ago
Which of the following are attributes of the function f(x)= |4(x-8)|-1 ?
disa [49]

Answer:

Step-by-step explanation:

8 0
3 years ago
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If you bought a car five years ago for $15,000 and today you can sell for $7000 what was its rate of depreciation
Natalka [10]
<h2>Answer:</h2><h2>The rate of depreciation of the car is 14%</h2>

Step-by-step explanation:

The price of car purchased 5 years ago = 15000

The price of car sold = 7000

By compound depreciation,

Pn = P (1 - R/100) ^ T  ... (1)

where Pn = 7000

P = 15000

R = rate of interest to be calculated

T = 5 ( number of years)

substituting the values in equation (1), we get

7000 = 15000 (1 - R/100) ^ 5

0.46 =  (1 - R/100) ^ 5

0.858 = 1 - R/100

0.858 is rounded off as 0.86

R/100 = 0.14

By simplifying the above equation, we get

Rate of depreciation = 14%

4 0
4 years ago
By the age of 21, the best violinist and pianist will have practiced at least 10,000 hours. If you practice and instrument 45 mi
Alika [10]

Answer:

273.94 hours.

Step-by-step explanation:

1 day = 0.75 hours of practicing in a day.

365.25 = x

1/365.25 = 0.75/x        Cross multiply

x = 0.75 * 365.25        Combine

x =  273.94 hours

8 0
3 years ago
there are 5 cookies on a plate. Alicia eats 1 1/2 cookies stuart eats 2 1/3 cookies how many cookies are left on the plate?
MAXImum [283]

Step-by-step explanation:

Alicia eats 1 and 1/2 (Which means 1 cookie and a half of a cookie, or 0.5.)

Stuart eats 2 and 1/3 (Which means 2 cookies and one third of a cookie, or 0.3333+. Basically, 1/3 means let's say you have a pie. You cut the pie into 3 separate pieces. You eat 2 seperate pieces. You have one left. You have one out of the three, which means 1/3.)

So, you want to  add both of those up.

1 + 2 = 3

1/2 + 1/3

To add fractions, you have to get the denominators (Bottom number of the fraction) equal.

So, the least common multiple (LCM) is 6.

Why? let's lay them out.

2: 2, 4, 6

3: 3, 6

These are the <u>LEAST</u> common multiple.

So, you should have

1/6 and 1/6.

Now add the amount of times you did to the numerator (Top number)

So, 1/2

2 + 2 + 2 = 6

3 times, so multiply the numerator by 3.

1 x 3 = 3

3/6

So next, 1/3.

3 + 3 = 6

2 times, so multiply the numerator by 2.

2/6.

Add them both

2/6 + 3/6 = 5/6 (Do not add denominator if they are equal)

+ 3

3 and 5/6 cookies eaten, so

5 - 3 5/6 = 1 & 1/6

1 and 1/6 cookies are left on the plate.



8 0
3 years ago
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