Find the weight of pure gold in 10 grams of 20 carat. It is given that 24 carat gold is cent-percent pure gold.​

Answer:

[tex]\sqrt{6} -3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{150} -\sqrt{96} -\sqrt{162} +\sqrt{72}[/tex]

[tex]=\sqrt{25\cdot6} -\sqrt{16\cdot6} -\sqrt{81\cdot2} +\sqrt{36\cdot2}[/tex]

[tex]=\sqrt{25}\sqrt{6} -\sqrt{16}\sqrt{6} -\sqrt{81}\sqrt{2} +\sqrt{36}\sqrt{2}[/tex]

[tex]=5\sqrt{6} -4\sqrt{6} -9\sqrt{2} +6\sqrt{2}[/tex]

[tex]=\sqrt{6} -3\sqrt{2}[/tex]

Answer:

See below.

Step-by-step explanation:

a) √2 + √50 + √98

= √2 + 5√2 + 7√2

= 13√2

c) 5√7 + 2√5 - 3√28

= 5√7 + 2√5 - 6√7

= 2√5 - √7

e) √150 - √96 - √162 + √72

= 5√6 - 4√6 - 9√2 + 6√2

= √6 - 3√2

g) 7√3 - 2√8 + √12 + 3√8

= 7√3 - 4√2 + 2√3 + 6√2

= 9√3 + 2√2

i) 3√49 + 2√288 - √144 - 2√18

= 21 + 24√2 - 12 - 6√2

= 9 + 18√2

= 9(1+ √2)

Answer:

1.63

Step-by-step explanation:

-31 + 7 = -24

[tex]\sqrt{-24}[/tex]  = 4.9

4.9/3 = 1.63 (rounded down from 1.6333333)

Answer:

[tex]x = 2 \sqrt{2} i \: or \: x = - 2 \sqrt{2} i[/tex]

Step-by-step explanation:

• Add 7 to both sides.

[tex]3x {}^{2} - 7 + 7 = - 31 + 7[/tex]

• Simplify

[tex]3x {}^{2} = - 24[/tex]

• Divide both sides by 3

[tex] \frac{3x {}^{2} }{3} = \frac{ - 24}{3} [/tex]

• Simplify

[tex]x {}^{2} = - 8[/tex]

• Find the solution

[tex]x = \sqrt{ - 8} \: and \: x = - \sqrt{ - 8} [/tex]

• Simplify

[tex] \sqrt{ - 8} = 2 \sqrt{2i} [/tex]

[tex] - \sqrt{ - 8} = - 2 \sqrt{2i} [/tex]

ANSWER:

[tex]x = 2 \sqrt{2} i \: and \: x = - 2 \sqrt{2} i[/tex]

Given parameters:

Bearing of the tree from the house  = 295°

Unknown:

Bearing of the house from the tree = ?

Solution:

This is whole circle bearing problem(wcb). There are different ways of representing directions from one place to another. In whole circle bearing, the value of the bearing varies from 0° to 360° in the clockwise direction.

To find the back bearing in this regard, simple deduct the forward bearing from 360°;

    Backward bearing  = 360° -295°

                                    = 65°

The bearing from house to the tree is 65°

9514 1404 393

Answer:

  {1, 5, 7}

Step-by-step explanation:

For x=0, y = 2·0 +1 = 1

For x=2, y = 2·2 +1 = 5

For x=3, y = 2·3 +1 = 7

The range is the list of y-values, so is {1, 5, 7}.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x(x + 6) - 2(x + 6)}\\\mathsf{\rightarrow x(x) + x(6) - 2(x) - 2 (6)}\\\mathsf{\rightarrow x(x) + 6(x) - 2(x) - 2(6)}\\\mathsf{\rightarrow x^2 + 6x - 2x - 12}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow x^2 + (6x - 2x) - 12}\\\mathsf{\rightarrow x^2 + 4x - 12}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x^2 + 4x - 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

∞

Step-by-step explanation:

Let both be x and y

So

[tex]\\ \rm\Rrightarrow 6x+8y=1[/tex]

[tex]\\ \rm\Rrightarrow 6(4y/3)+8y=1[/tex]

[tex]\\ \rm\Rrightarrow 8y+8y=1[/tex]

[tex]\\ \rm\Rrightarrow y=1/16[/tex]

[tex]\\ \rm\Rrightarrow y=0.0625[/tex]

Answer:

7

Step-by-step explanation:

the remainder is 2, so you do not have enough roses for another arrangement

Answer:

It's The following options -

Step-by-step explanation:

A

B

C

D

Are correct

A logarithm function is a function that uses the log keyword, and it is the opposite of an exponential function

Assume the logarithm function is:

[tex]y = a\log_b(x - h) + k[/tex]

Where b represents the base of the function.

The first step is to determine the vertical asymptote of the function

The vertical asymptote of [tex]y = a\log_b(x - h) + k[/tex] is:

[tex]x = h[/tex]

The second step is to determine the x-intercepts

To do this, we set the function to 0

i.e. [tex]a\log_b(x - h) + k = 0[/tex]

The next step is to determine the y-intercepts

To do this, we set the x to 0

i.e. [tex]y = a\log_b(0- h) + k[/tex]

The next step is to plot the vertical asymptote, the intercepts and few points on the graph

Lastly the points that were plotted on the graph must be connected

Read more about logarithm function at:

https://brainly.com/question/13473114

Answer:

-7

Step-by-step explanation:

-9 - (-2)

If there is a negative sign in front of a negative number in parenthesis, then that makes it a positive number.

-9 + 2 = -7

Complementary angles have sum 90°

[tex]\\ \rm\Rrightarrow 5x+7x-6=90[/tex]

[tex]\\ \rm\Rrightarrow 12x-6=90[/tex]

[tex]\\ \rm\Rrightarrow 12x=96[/tex]

[tex]\\ \rm\Rrightarrow x=8[/tex]

Answer:

x = 8

Step-by-step explanation:

Complementary angles are two angles with measures that sum to 90°

Given:

⇒ m∠C + m∠D = 90°

⇒ 5x + 7x - 6 = 90

⇒ 12x - 6 = 90

⇒ 12x = 96

⇒ x = 8

Answer:

Step-by-step explanation:

let the amount spent on popcorn be x and amount spent on drinks be y

If the total bill paid is  $17.94, then x+y =  $17.94

If she spend twice as much on popcorn as on drinks, then y = 2x

Substitute y = 2x into the original equation

x+y =  $17.94

x + 2x =  $17.94

3x =  $17.94

x =  $17.94/3

x = $5.98

Since y = 2x

y = 2($5.98)

y = $11.96

Therefore she spent  $5.98 on popcorn and $11.96 on drinks

[tex]x = y - 14[/tex]

[tex]x = - \frac{y}{12} - \frac{7}{12} [/tex]

[tex]x = - 2y - 14[/tex]

Answer:

Go on brainly,cymath,calculator soup to find the answer

Step-by-step explanation:

Answer:

Then he should have 524,296 books left

Answer:

True

Step-by-step explanation:

Because -5 x -5 = -25

Answer:

slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the formula: y = mx + b

where:

y = how far up the line goes

m = slope or gradient

x = how far along

b = Y-intercept

Answer:

Check your mathematics Text book...Then you can see heading True conditional statement..Check the example question then i am sure you will get the correct answer...

Answer:

The volume of a prism is given by ...

 V = Bh

Step-by-step explanation:

Here, the base is an equilateral triangle with side length 3 in. The area of such a triangle is given by

 A = (√3)4*s²

where s is the side length.

Your triangular prism has a base area of ...

 B = (√3)/4*(3 in)² = (9/4)√3 in²

so the volume is

 V = ((9/4)√3 in²)(6 in)

 V = (27/2)√3 in³

 V ≈ 23.383 in³

:)

Answer:- 29

false

Step-by-step explanation:

Applying the trigonometry ratio and rationalization, the missing lengths are:

1. x = 12/√3; y = 2√3

2. x = 5√2; y = 5√2

3. b = 24

4. 4√3

5. 5√3

The trigonometry ratios are represented as follow:

1. To find x, apply SOH:

opp = 6

hyp = x

adj = y

∅ = 60°

Equation:

sin 60 = 6/x

x = 6/sin 60

x = 6/√3/2 (sin 60 = √3/2)

x = 6 × 2/√3

x = 12/√3

Rationalize

x = 12/√3 × √3 /√3

x = 12√3/3

x = 4√3

To find y, apply TOA:

tan 60 = 6/y

y = 6/tan 60

y = 6/√3 (tan 60 = √3)

Rationalize

y = 6/√3 × √3 /√3

y = 6√3 / 3

y = 2√3

2. To find x, apply SOH:

opp = x

hyp = 10

adj = y

∅ = 45°

Equation:

sin 45 = x/10

x = (10)(sin 45)

x = 10 × 1/√2 (sin 45 = 1/√2)

x = 10/√2

Rationalize

x = 10/√2 × √2 /√2

x = 10√2/2

x = 5√2

To find y, apply CAH:

cos 45 = y/10

y = (10)(cos 45)

y = 10 × 1/√2 (cos 45 = 1/√2)

y = 10/√2

Rationalize

y = 10/√2 × √2 /√2

y = 10√2/2

y = 5√2

3. To find b, apply Pythagorean theorem:

b = √(25² - 7²)

b = 24

4. 12/√3

Rationalize

12/√3 × √3 /√3

12√3/3

4√3

5. 15/√3 × √3 /√3

15√3 /3

5√3

Learn more about trigonometry ratios on:

https://brainly.com/question/10417664

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Ok so since this is an area question we should begin with writing the correct formula for it. This says it's rectangular pool so we'll be using our rectangle formula, which is...

[tex]A=lw[/tex]

Now we plug in what we know...

[tex]length=30\frac{1}{3} \\width=12\frac{1}{2}[/tex]

Now we solve...

[tex]A=lw\\A=(30\frac{1}{3})(12\frac{1}{2})\\A=379\frac{1}{6}[/tex]

So the area is.... [tex]379\frac{1}{6}[/tex] feet ²

or if you want an improper fraction....[tex]\frac{2275}{6}[/tex] feet²

or a decimal... [tex]379.1666667=379.17[/tex] feet².

Answer: its A

Step-by-step explanation:

Answer:

33.3 % of the dodgeball team consist of boys.

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

18 muffins for Millie,

18 muffins for August,

18 muffins for herself,

80 muffins for a church,

18+18+18+80 = 134 muffins in total

Answer: C. perpendicular to Earth and the sun

Step-by-step explanation: I studied astronomy. :)

Answer:

Step-by-step explanation:

area of a triangle = 12 in²

area of a trapezoid = 24 in²

just combine the two shape (see image)

then add the area.

total area = 12 + 24

                = 36 in²

Answer:

92%

Step-by-step explanation:

368+32=40

368*100=36800 36800/400=92