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vaieri [72.5K]
3 years ago
7

The length of a rectangular plot is expressed as x²m and the breadth is xm if the area of the rectangular plot is 5832 sq cm the

n find it’s length and breadth
Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

442

Step-by-step explanation:

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A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach
Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\  \end{gathered}

Let's evaluate the value of k for each day.

Thus, on monday,

\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Tuesday:

\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Wednesday:

\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}

Thursday:

\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0
1 year ago
If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.​
Alex73 [517]

Hi

7 = 14.70

15= X

so :  X =  15*14.70 /7 = 31.5

15 liters  of petrol cost  31.5

5 0
4 years ago
Read 2 more answers
What is x squared 6x - 7 factorised?
lilavasa [31]
The factors would be (x +7) and (x - 1)
3 0
3 years ago
What is the answer to this problem its too hard -36= - w/8
Hoochie [10]

Answer:

w=288

Step-by-step explanation:

-36=-w/8

-36•8=-w

-288=-w

w=288

6 0
3 years ago
23.5 in expanded form
Harman [31]

Answer:

 20  

+ 3  

+   0.5

 100  

+ 60  

+ 4  

+   0.3

+   0.08

200  

+ 0  

+ 9  

+   0.1

+   0.00

+   0.006

Step-by-step explanation:

Hope this helps :D

3 0
4 years ago
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