what are dense rational numbers

Answer:

13%

Step-by-step explanation:

Given:

Apply discount:

Add VAT:

Solving the quadratic equation we get:

Then

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex] \frac{j}{k} - 0.2k = \frac{25}{5} - 0.2(5) = 5 - 1 = 4[/tex]

Answer:

5x = 45

Step-by-step explanation:

x represents marcos

4x represents Share

5x = 45

x = 9

4x = 36

Share is 36 and Marcos is 9

Answer:

4x+x =45

Step-by-step explanation:

x would be marcos, since we do not know his age, and share is 4x that amount, so you would have 4x(shares age) plus x(marcos age) to get your answer.

Answer:

Expression for perimeter of rectangle is:

[tex]\bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]

Step-by-step explanation:

Width of rectangle is given as [tex]( 3.1 s - 1.6 )[/tex] centimeters and

length  of the rectangle is given as [tex](7.2s - 4.6)[/tex] centimeters.

To find:

The expression to represent the perimeter of rectangle in centimeters.

Solution:

First of all, let us have a look at the formula to calculate the perimeter of a rectangle.

Perimeter of a polygon is equal to sum of all the sides.

In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.

Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.

So, formula:

[tex]Perimeter = 2(l+w)[/tex]

Where [tex]l[/tex] is the length of rectangle and

[tex]w[/tex] is the width of rectangle.

Putting the values of length and width as given in the question statement to find its perimeter:

[tex]Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]

Answer:

Just do what you did in school

Step-by-step explanation:

Like example you did algebra exercise 1 2 and 3

do the same at home by yourself

Answer:

-39

Step-by-step explanation:

just took the quick check

Answer:

y = 3/2

Step-by-step explanation:

5(2y - 1) - 2(3y) = 1

First we use distributive property:

10y - 5 - 6y = 1

because 5 × 2y = 10y

and -2 × 3y = -6y

Now we combine the like terms:

4y -5 = 1

because 10y - 6y = 4y

Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)

4y = 1 + 5

Again we combine the like terms:

4y = 6

(because 5 + 1 = 6)

Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)

y = 6/4

and we simplify:

y = 3/2

And we cannot simplify or do anything else. So that is the answer.

Hope that helped!

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

The given coordinates are, P(-2,3) and Q(5,4).

Now, finding the P' and Q'.

Reflection on x- axis .

P(x,y)---------> P' (x,-y)

P (-2,3)----------> P'(-2,-3)

Now, let's find Q'

Reflection on y-axis.

Q(x,y)----------> Q'(-x,y)

Q(5,4)---------> Q'(-5,4)

Now, The points are P'(-2,-3) and Q'(-5,4)

By distance formulae,

[tex]P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Putting their values,

[tex]P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } [/tex]

[tex]P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } [/tex]

Simplifying them we get,

[tex]pq = \sqrt{58} [/tex]

Therefore, the distance between P'and Q' is root under 58 units.

Hope it helps...

Answer:

it makes the goals easier to reach

Step-by-step explanation:

you dont want to say you need 1,000 dollars.. you would want to say you are going to save 5 dollars a week till you reach it.

5 benefits of breaking down ones periodic savings have been listed below.

Breaking down the amount one will need to save on a daily, weekly or monthly basis is simply called budgeting.

Now, budgeting is very important because it helps to do the following;

- Helps to ensure you spend money appropriately on things that you really need and not just wants.

- Helps you to effectively monitor your spending habits/patterns.

- Helps you to meet your financial goals.

- Helps you to make good decisions on things that involve finance.

- Helps you to monitor your progress in savings or interest as the case may be.

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The total lease cost assuming that the deposit is nonrefundable is $14046.

The term "Leasing Costs" refers to all fees paid or benefits granted to a tenant under an existing lease or a new lease, including I commissions for leasing or brokerage services, (ii) direct payments, tenant improvement allowances, work letters, or free rent, and (iii) rent allowances or rent credits.

Given:

Length of lease: 24 months

MSRP of the car: $21,400

Purchase value of the car after lease: $17,100

So, Monthly payment= $479

So, Monthly payment after 24 month

= 11496

Thus, total lease cost =  Down payment + Security deposit + Acquisition

                                                                                                             fee

                                                               + payment for 24 months

Total lease cost = 1500+ 350+ 700+ 11496

                           = $14046

Hence, the lease cost is $14046.

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Answer:

7.000l is a terminatin decimal.

Step-by-step explanation:

It is an terminating decimal because it stops right at 1, and the one is not repating too. If it was repeating it would be a repating decimal. We know it's not also an integer because we dont see a ngegative sign next to the seven.  

Therefore, 7.0001 is a terminating decimal.

Answer:

A scientific idea can become a theory when you have enough prove to back it up and when it is supported by other scientists.

Answer:

1/5

Step-by-step explanation:

5^-1/5^0

=5^-1/1

=1/5

Answer:

A) 20+0.6[tex]x[/tex]

B) range is [0, 50] (i.e. both inclusive)

C) 8.33 litres

Step-by-step explanation:

Given that concentration of acid in 50 litre container is 40%.

Amount of acid in the container = 40% of 50 litres

Amount of acid in the container = [tex]\frac{40}{100} \times 50 = 20\ litre[/tex]

[tex]x[/tex] litres are removed.

Amount of acid removed = 40% of [tex]x[/tex] litre.

Now, remaining acid in the container = (20 - 40% of [tex]x[/tex]) litre

Now, replaced with 100% acid.

So, final acid in the container = (20 - 40% of [tex]x[/tex] + 100% of [tex]x[/tex] ) litre

Amount of acid in the final mixture:

[tex]20 - \dfrac{40}{100} \times x + \dfrac{100}{100} \times x\\\Rightarrow 20 +\dfrac{100-40}{100}x\\\Rightarrow 20 +\dfrac{60}{100}x[/tex]

Answer A) Amount of acid in the final mixture = 20+0.6[tex]x[/tex]

Answer B) [tex]x[/tex] can not be greater than 50 litres (initial volume of container) and can not be lesser than 0 litres.

so, range is [0, 50] (i.e. both inclusive)

Answer C)

Given that final mixture is 50% acid.

amount of acid = 50% of 50 litres = 25 litres

Using the equation:

[tex]20+0.6x =25\\\Rightarrow 0.6x =5\\\Rightarrow \bold{x =8.33\ litres}[/tex]

◈ LHS :

[tex]:\implies\tt\:sin60\degree[/tex]

[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]

◈ RHS :

[tex]:\implies\tt\:\dfrac{2tan30\degree}{1+tan^230\degree}[/tex]

[tex]:\implies\tt\:\dfrac{2\times \dfrac{1}{\sqrt{3}}}{1+{\large(}\dfrac{1}{{\sqrt{3}}}{\large)}^2}[/tex]

[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{3+1}[/tex]

[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{4}[/tex]

[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]

Hence Proved !!

Answer : The value of x is 100.

Step-by-step explanation :

According to the question, the FH makes a line in which point G is present in between the line FH.

The diagram is shown below.

Given:

FG = (2x) meters

GH = 1000 meters

FH = 1200 meters

Now we have to calculate the value of x.

As we know that:

FH = FG + GH

Now putting all the given values in this expression, we get:

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100

Therefore, the value of x is 100.

Answer:

The answer to this problem is x = 3 and y = -2.

Step-by-step explanation:

To solve this problem, we first have to remember how to solve problems using substitution.  We first solve one equation completely in terms of another variable.  In this case, this has already been done for us - the first equation is in the form y = f(x).  Next, we should substitute this "value" or function for y into the other equation.  This process is modeled below:

y = -4x + 10

y = -6x + 16

If we substitute, we get:

-4x + 10 = -6x + 16

Now this is a simple one variable equation that we can solve easily.  First, we should add 6x to both sides, giving us:

2x + 10 = 16

Then, we should subtract 10 from both sides, yielding:

2x = 6

Finally, we can divide both sides by 2 to get:

x = 3

Now, we must plug in this value for x into one of our original equations (it doesn't matter which one we choose) to solve for the other variable, y.

y = -4x + 10

y = -4(3) + 10

y = -12 + 10

y = -2

Therefore, the answer to this problem is x = 3 and y = -2.

Hope this helps!

Answer:

x = 3

y = -2

Step-by-step explanation:

y = -4x + 10       first equation

y = -6x + 16        second equation

from the second equation:

6x = -y + 16

x = (-y + 16) / 6       third equation

substituying the value of the third equation into the first equation:

y = -4(-y+16)/6 + 10

y - 10 = -4(-y+16(/6

6(y-10) = -4(-y+16)

6*y + 6*-10 = -4*-y -4*16

6y - 60 = 4y - 64

6y - 4y = 60 - 64

2y = -4

y = -4/2

y = -2

from the third equation:

x = (-y + 16) / 6

x = (-(-2) + 16) / 6

x = (2+16)/6

x = 18/6

x = 3

Check:

from the first equation:

y = -4x + 10

-2 = -4*3 + 10

-2 = -12 + 10

Answer:

one

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Postulate 3: Through any two points, there is exactly one line.

Answer:

yes

Step-by-step explanation:

Answer: Yes it is, because this is written as a simple fraction. A non-simple fraction would be something like 2 1/2. Having that extra whole number in front makes it complex!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

2x + 8y = 12 ......... Equation 1

x - 2y = 0 .............. Equation 2

Make x the subject in equation 2 and substitute it into equation 1

That's

x = 2y

We have

2(2y) + 8y = 12

4y + 8y = 12

12y = 12

Divide both sides by 12

y = 1

Substitute y = 1 into x = 2y

That's

x = 2(1)

x = 2

The answers are

x + y = 7......... Equation 1

2x + y = 5 ......... Equation 2

Make y the subject in equation 1 and substitute it into equation 2

We have

y = x - 7

2x + x - 7 = 5

3x = 7 + 5

3x = 12

Divide both sides by 3

x = 4

Substitute x = 4 into y = x - 7

y = 4 - 7

y = - 3

We have the answers as

y = -1/2 + 1 ......... Equation 1

2x + 3y = 6 ........ Equation 2

From equation 1

y = 1/2

Substitute y = 1/2 into Equation 2

So we have

2x + 3(1/2) = 6

2x + 3/2 = 6

2x = 6 - 3/2

2x = 9/2

Divide both sides by 2

x = 9/4

The answers are

2x - 1/3y = - 9.......... Equation 1

-3x + y = 15 ........... Equation 2

Make y the subject in equation 2 and substitute it into equation 1

That's

y = 15 + 3x

2x - 1/3( 15 + 3x) = - 9

2x - 5 - x = - 9

x = - 9 + 5

x = - 4

Substitute x = - 4 into y = 15 + 3x

That's

y = 15 + 3(-4)

y = 15 - 12

y = 3

The answers are

Hope this helps you

[tex]8f+7-2f=16\\6f=16-7\\6f=9\\f=\frac{9}{6}[/tex]

We know f, now we want the 12f+1

Therefore, Substitute f = 9/6 in 12f+1

[tex]12(\frac{9}{6})+1\\ = 2*9+1\\=18+1\\=19[/tex]

If you are wondering where 2*9 comes from, it comes from the 12(9/6) and 12 is divided by 6 then we get 2 and multiply the 9 as we get 2*9.

Answer:

5 feet 1 inches

Step-by-step explanation:

if 1 foot is 12 inches.

Then, 60 ÷ 12

= 5

So, 61 inches tall = 5 feet 1 inches.

The answer is 5 feet 1 inches.

The Height of Alex in feet is 5.0833 feet.

To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in 1 foot.

Let's denote the height of Alex in inches as H in and her height in feet as H ft.

H in = 61 inches

H ft = ?

The equation to convert inches to feet is:

H ft = H_ in / 12

Substituting the value of H in into the equation, we have:

H = 61/12

H ft ≈ 5.0833 feet

Therefore, Alex's height is 5.0833 feet.

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Answer: I think it's C

Step-by-step explanation: hope it helps

Answer:

Binomial

Step-by-step explanation:

how many terms are in the equation?

2 = Binomial

Answer: Binomial

Step-by-step explanation:

It contains two terms in 6p-8 (6p, and 8)

Thus it is binomial

Monomial: contains one term

binomial: contains two terms

trinomial: contains three terms

Hope this helps!! :)

Please let me know if you have any question

Answer:

1

Step-by-step explanation:

The coefficient is the number in front of the variable.  Since there is not a number written, there is an implied 1

x+4

1x+4

The coefficient is 1