What is the smallest number you can make out of 1 8 4 6

Answer:

Step-by-step explanation:

Let the number of CD's = c

Let the number of tapes = t

Total  number of CD's and tapes = 9

c + t = 9   --------------- (i)

Cost of 'c' CD's = 7*c = 7c

Cost of 't' tapes = 6*t = 6t

Total cost = $ 68

7c + 6t = 58 -----------------(ii)

Multiply the first equation by (-6) and then add the equations.

(i)* (-6)       -6c - 6t = - 54

(ii)               7c + 6t =  58    {Now add. here t will be cancelled}

                   c         = 4

Number of CD's  = 4

Plugin c = 4 in equation (i)

4 + t = 9

     t = 9 - 4

     t = 5

Number of tapes = 5

Solution:

The rationalisation factor for [tex] \frac{1}{ a - \sqrt{b} }[/tex] is [tex]a + \sqrt{b} [/tex]

So, let us apply it here.

[tex] \frac{1}{5 - \sqrt{2} } [/tex]

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

[tex] = \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23} [/tex]

Answer:

[tex] \frac{5 + \sqrt{2} }{23} [/tex]

Hope you could understand.

If you have any query, feel free to ask.

Answer:

[tex]\frac{5+\sqrt{2} }{23}[/tex]

Step-by-step explanation:

To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.

the conjugate of 5 - [tex]\sqrt{2}[/tex] is 5 + [tex]\sqrt{2}[/tex] , then

= [tex]\frac{1(5+\sqrt{2}) }{(5-\sqrt{2})(5+\sqrt{2}) }[/tex] ← expand denominator using aFOIL

= [tex]\frac{5+\sqrt{2} }{25-2}[/tex]

= [tex]\frac{5+\sqrt{2} }{23}[/tex]

Perimeter of the figure = 26.5 m

Area of the figure = 59.68 m².

Perimeter of a figure is the length around the borders of the figure.

Find the Perimeter of the Figure:

Perimeter = 3.9 + 7.4 + 10.6 + 4.6 = 26.5 m

Area of the Figure:

Decompose the figure into two rectangles, rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 10.6 × 4.6 = 48.76 m².

Area of rectangle 2 = length × width = 3.9 × (7.4 - 4.6) = 10.92 m².

Area of the figure = 48.76 + 10.92 = 59.68 m².

Learn more about perimeter and area of a figure on:

https://brainly.com/question/10061869

Answer:

first was the tan4cot

second was (-g,f)

Answer:

Depth of the pond: 4494 m

Explanation:

Steps:

Answer:

$142.03

Step-by-step explanation:

15% Gratuity on the Bill=

$123.50 X 0.15 =$18.525

Add this to the bill cost to find the total cost.

$123.50+$18.525

=$142.03

Answer:

468mm^2

Step-by-step explanation:

1/2 x 8 x 27=108 triangle area

12 x 30 = 360 rectangle area

108+360=468mm^2

Answer:

3x + 0.8y

Step-by-step explanation:

1- Reorder and gather like terms

2- Collect coefficients of like terms

3- Calculate the sum or difference

Let

10years ago

10years after

ATQ

[tex]\\ \tt\hookrightarrow 6x+20=2(x+20)[/tex]

[tex]\\ \tt\hookrightarrow 6x+20=2x+40[/tex]

[tex]\\ \tt\hookrightarrow 4x=20[/tex]

[tex]\\ \tt\hookrightarrow x=5[/tex]

▪︎If ten years ago , the age of daughter was x years , then , ten years ago the age of her father was 6x years ▪︎

Ten years after ,

According to the question,

▪︎6x + 20 = 2 ( x + 20 )

Therefore , Present age of the Father = 6x + 10 = 6 × 5 + 10 = 40 years and present age of the daughter,

hence , the age of his daughter is 15 years

Hope it helps ~

Answer:

44%

Step-by-step explanation:

100 + 20 = 120/100

(1.2)^2=1.44

144 - 100 = 44%

Answer: X=57

Step by Step Explination: 132 divided by X is 57 which means 57 is X if they can make a problem

Answer: 12/81 or 15%

Step-by-step explanation:

If you want an explanation you can ask

Answer:

{ 3x - y = 6

{ x + 2y = 16

Step-by-step explanation:

1- Simplify

*The Graph is in the attachment, hope this helps :)

Answer:

11, 18, -7

Step-by-step explanation:

Sum: 2 + 9 = 11

Product: 2 x 9 = 18

Difference: 2 - 9 = -7

Answer:

x^2+6x+9

Step-by-step explanation:

(x+3)^2=

(x+3)(x+3)=

x^2+3x+3x+9=

x^2+6x+9

Hi there!

I will help you with joy!

Arabic numbers - 1, 2, ..., 10,..; Roman numerals: I, II, ... X, ..

Match the Arabic numerals to Roman numerals.

I = 1

V = 5

X= 10

L = 50

C=100

D=500

M = 1,000

Hope it helps!

Enjoy your day!

Ask me if you have any questions.

~Misty~

Answer:

Could you rephrase the question

Step-by-step explanation:

Answer:

D) 3x + y = -4

5x + y = -8

Step-by-step explanation:

since it's per annum, we'll assume is compounded interest.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 3550\\ r=rate\to 3.05\%\to \frac{3.05}{100}\dotfill &0.0305\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=3550\left(1+\frac{0.0305}{1}\right)^{1\cdot 5}\implies A=3550(1.0305)^5\implies A\approx 4125.42[/tex]

Answer:

$6.6

Step-by-step explanation:

This is what we know:

You can say that they are proportional because there is a unit price for each pound.

There are a couple of ways to do this but I'll show you this one:

Ratio and proportion:

Step-by-step explanation:

https://brainly.com/question/2438420

answer is x= 6.6

Answer:

$18.25

Step-by-step explanation:

25x$0.25+20x$0.60= $18.25

Answer:

15.0721 quarts

Step-by-step explanation:

20 cups= 5.0721 quarts

10 quarts+5.0721=15.0721 quarts

if you need to convert the quarts just search 15.0721 quarts to whatever you need to convert it too.

hope this helps

Answer:

25 km

Explanation:

                                  Distance = speed * time

We have change time which are given in minutes to hour. As the speed is mentioned in kilometre per hour.

For part A:

[tex]\rightarrow Distance = speed * time[/tex]

[tex]\hookrightarrow Distance = 40 * \frac{15}{60}[/tex]

[tex]\hookrightarrow Distance = 10[/tex] km

For part B:

[tex]\rightarrow Distance = speed * time[/tex]

[tex]\hookrightarrow Distance =60 * \frac{15}{60}[/tex]

[tex]\hookrightarrow Distance = 15[/tex] km

Total distance covered:

part A + part B

10 km + 15 km

25 km

25 km

Speed of the car in first 15 mins ,

The car is moving in the speed of 40 km/h for 15 mins.

Speed of car in next 15 mins ,

again ,

now , total distance covered = ( 10 + 15 ) km = 25 km

Hope it helps~

Hey there mate!

Please check the attached image of question for the answer with explanation.

Hope it helps ...

Answer:

5

Step-by-step explanation:

6x-4=26

6x = 26+4

6x= 30

x= 5

Answer:

A = 73°

Step-by-step explanation:

A + B = 180 because of alternating interior angles

Substitute each angle

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 162

x = 18

Substitute A

A = 6x - 35

A = 108 - 35

A = 73

Hope this helps

Have a great day!

Answer:

2,541 minutes

Step-by-step explanation:

i hope this helps