Ask question

Ask question

All categories

2 years ago

14

A regular tank measuring 30 cm by 10 cm by 20 cm is 2/3 filled with water. Calculate the volume of water in the tank in litres.

( 1 litre = 1000 cm 3 )

1 answer:

koban [17]2 years ago

8 0

Answer:

4 litres

Step-by-step explanation:

First, find the volume of the entire tank using the given measurements:

$30 cm*10cm*20cm=6000cm^3$

To find the amount of water in cubic centimetres, simply multiply $\frac{2}{3}$ with 6000:

$\frac{2}{3} * 6000cm^3=4000cm^3$

Now, we need to convert to litres. You can easily see just by looking at the numbers that the volume is 4 litres, however we will do the full conversion just to show you how it's done:

$\frac{1 Litre}{1000cm^3} *\frac{4000cm^3}{1} \\$

Now, the cubic centimetres cancel out as there is one on the bottom of the first fraction and one on the top of the second fraction. Anything divided by itself is one, including units, so the 1000 cubic centimetres from the first fraction and the 4000 cubic centimetres from the second fraction are multiplied by one. They therefore remain the same but without the unit of centimetres cubed:

$\frac{1 Litre}{1000} *\frac{4000}{1}\\\\\frac{4000 Litres}{1000}\\\\4 Litres$

You might be interested in

Sumalee and Jennifer are selling flower bulbs for a school fundraiser. Customers can package of tulip bulbs and bags of daffodil

Alecsey [184]

Answer:

<u>tulips bulbs cost $5; and daffodil bulbs costs $8 </u>

Step-by-step explanation:

Variables can be used to create equations and set up a system of equations. I used the following variables:

Tulip bulbs= t

Daffodil bulbs= d

We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.

Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.

6t+ 6d= 78

Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.

6t+ 4d= 62

Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.

(substitution)

Isolate one of the variables in the first equation.

6t+ 6d-6t = 78-6t

6d/ 6= (-6t+78)/6

d= -t+13

Substitute d= -t+13 into equation 2 replacing variable d. Using the order of operations solve for t.

6t+ 4(-t+13) = 62

6t- 4t+52 = 62

2t = 10

<u>t= 5</u>

Substituting t=5 for the value of t in equation 1, and solve of d.

6(5)+ 6d= 78

30+ 6d= 78

6d=48

<u>d=8</u>

<u>This means one package of tulips bulbs cost $5, and one bag of daffodil bulbs costs $8 </u>

4 0

3 years ago

My digits are consecutive numbers.

Alchen [17]

Answer:

456 is the number you are looking for.

Step-by-step explanation:

Consecutive numbers are numbers which continuously follow each other in the order from smallest to largest.

Have a nice day!

6 0

2 years ago

Suppose 60 cars start at a car race. in how many ways can the top 3 cars finish the race?

lapo4ka [179]

60 different cars could finish first place
of the 59 that didn't win, any of the 59 could.
finish second
of the remaining 58, any could finish 3rd, or 58
possibilities.

This our answer is 60*59*58=205,320

5 0

3 years ago

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

geniusboy [140]

Answer:

The best measure of center for this data set is the median and its value expressed up to one decimal place is 37.50

Step-by-step explanation:

The best measure of center for this data set is the MEDIAN , and its value expressed up to one decimal place is 37.50.

We have given the data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

The data set is:

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Let us find the median of this data set.

Arrange the values in ascending order:

{16,18,28,29,35,36,37,38,40,41,44,66,68,72}

Median = average of middle entries

Median = 37.5

Therefore the best measure of center for this data set is the median and its value expressed up to one decimal place is 37.50 ....

7 0

3 years ago

Read 2 more answers

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

$A(t) = P(1 + \frac{r}{n})^{nt}$

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

3 years ago