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3 years ago

6

the are of a rectangular tablecloth is 4 1/6 square meters. the width of the tablecloth is 1 1/4 meters. what is the length of t

he table cloth?

1 answer:

shtirl [24]3 years ago

4 0

3 1/3 is the length of the table cloth

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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.

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1 year ago

the radius and height of a solid right circular cone are in the ratio 5 : 12. If its volume is 314 cm cube. find total surface a

navik [9.2K]

Answer:

Step-by-step explanation:

Idk

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3 years ago

In a mall, 1/15 of the stores sell shoes. There are 180 in total. How many stores sell shoes?

8090 [49]

12 stores sell shoes.

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3 years ago

Are the following functions linear or nonlinear?

exis [7]

Answer:

The chart is linear, the graph is not.

Step-by-step explanation:

Because the graph is curved and not straight, it is non-linear. You can also tell that this is non-linear because the rate of change, or slope, is inconsistent. The chart is linear because it has a consistent slope. I hope this helps, have a nice day. :-)

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3 years ago

PLEASE ANYONE?: A number is chosen at random from a set of whole number from 1 to 50. Calculate the probability that the chosen

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Answer:

10

Take 10 and add it 5 times

Step-by-step explanation:

5 divided by 50 is 10

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1 year ago

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