explain how to get the variable alone in the equation. 4x = 32

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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: X=57

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

Answer:

a) (2,9); b) no points of intersection

Step-by-step explanation:

a)

Set the two equations equal to each other

7x - 5 = -2x + 13

Rearrange collecting like terms and solve

9x = 18

x = 2

Sub in x = 2 into either of the equations and it should yield the same result

Eq.1 y = 7(2) - 5 = 9

Eq.2 y = -2(2) + 13 = 9

Therefore the point of intersection is (2,9)

The graph confirms this result (see graph 1 with red and blue lines)

b)

As the gradients are the same, we can tell straight away that the two lines should be parallel and never intersect, but we'll try to solve it algebraically using the same method as in part a.

3x - 1 = 3x + 2

When rearranging, the x's cancel out which can be seen when subtracting 3x from both sides

-1 = 2

This equation is clearly incorrect. This means that there are no values of x at which the two equations are equal. Graphically, this means that the two lines are parallel and there are no points of intersection (see graph 2 with purple and green lines)

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]

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

Answer:

44%

Step-by-step explanation:

100 + 20 = 120/100

(1.2)^2=1.44

144 - 100 = 44%

Hey there mate!

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

Hope it helps ...

Answer:

2,541 minutes

Step-by-step explanation:

i hope this helps

Answer: 12/81 or 15%

Step-by-step explanation:

If you want an explanation you can ask

Answer:

$18.25

Step-by-step explanation:

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

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:

Depth of the pond: 4494 m

Explanation:

Steps:

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]

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:

{ 3x - y = 6

{ x + 2y = 16

Step-by-step explanation:

1- Simplify

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

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:

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~

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

Answer:

11, 18, -7

Step-by-step explanation:

Sum: 2 + 9 = 11

Product: 2 x 9 = 18

Difference: 2 - 9 = -7

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:

5

Step-by-step explanation:

6x-4=26

6x = 26+4

6x= 30

x= 5

Answer:

first was the tan4cot

second was (-g,f)

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:

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:

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

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