In 2016, the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?

Answer:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Step-by-step explanation:

Given

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Required

Convert to radical form

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Evaluate the exponents

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}[/tex]

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}[/tex]

Split the exponent

[tex](x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}[/tex]

Apply the following law of indices

[tex](x^a)^\frac{1}{b} = \sqrt[b]{x^a}[/tex]

So, we have:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Answer:

B

Step-by-step explanation:

If you separate it it's the number 13 so it has to be correct. :) it always works for me....well only like 70% of the time but it' better than nothing.

Answer:

5

Step-by-step explanation:

,

Answer:

Expected value of package = $0.04 (Approx.)

Step-by-step explanation:

Given:

30 packages at $0.65 each

10 packages at $0.60 each

15 packages at 0.30 each

Pick up price for random one = $0.50

Find:

Expected value of package

Computation:

Total cost of 30 package = 30 x 0.65

Total cost of 30 package = $19.5

Total cost of 10 package = 10 x 0.60

Total cost of 10 package = $6

Total cost of 15 package = 15 x 0.30

Total cost of 15 package = $4.5

Total cost = 19.5 + 6 + 4.5

Total cost = $30

Cost of random package = 30 / [30+10+15]

Cost of random package = $0.54

Expected value of package = 0.54 - 0.50

Expected value of package = $0.04 (Approx.)

Answer:

3.1

Step-by-step explanation:

Answer:

-12y=5y-68     true for all X

Step-by-step explanation:

-3x4y=(4+5y)-72

simplify:

-3x4y=12y

simplify:

(4+5y)-72

remove parentheses:

4+5y-72

subtract the numbers:

4-72= -68

=5y-68

-12y=5y-68

Answer:

the answer would be 4

Step-by-step explanation:

−3(4y)=4+5y−72

−12y=4+5y+−72

−12y=(5y)+(4+−72)(Combine Like Terms)

−12y=5y+−68

−12y=5y−68

Step 2: Subtract 5y from both sides.

−12y−5y = 5y−68−5y

−17y= −68

Step 3: Divide both sides by -17.

−17y                    -68

------------       =   -----------

-17                        -17

y = 4

Answer:

You have my profile picture

Step-by-step explanation:

Answers:

1. The volume of the carry-on baggage check box is 2772 inches³

2. The volume of the leather bag is 1728 inches³.

3. The volume of the canvas bag is 2700 inches³.

4. The leather bag will definitely fit into the check box.

Hope this helps!

When answering, make sure to put the units, which is inches cubed, which you always use for finding the volume of a figure.

Happy learning,

Applepi101

Answer: I believe its 64 cubic in

Step-by-step explanation:

Answer:

-53-27x

Step-by-step explanation:

Answer attached...

Hope it helps :)

Answer:

Heyyy

Step-by-step explanation:

Answer:

GRAPH B

Step-by-step explanation:

I GOT IT CORRECT ON KAHN!!!!

Answer:

8.94

Step-by-step explanation:

Distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(3 - (-5))^2 + (2-6)^2}[/tex]

[tex]d = \sqrt{(64 + 16)}[/tex]

[tex]d= \sqrt{80}[/tex]

[tex]d= 8.94[/tex]

Answer:

15 pi.

Step-by-step explanation:

2/5=6/x

x=15

This is how I would answer it, but there is an error with the question. The measure of the central angle of an arc is supposed to be equal to the length of the arc.      

Answer:

18x^2 - 30x

Step-by-step explanation:

Distribution:

You just have to distribute 6x by each term in the parenthesis.

Equation: 6x(3x-5)

(You can also think of it as: 6x * 3x + 6x * -5)

18x^2 - 30x

This is as simplified as can it can be.

(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).

Answer:D

Step-by-step explanation:

Convert 100 yards to feet, which becomes 300 feet.

6 inches into feet, 0.5 feet.

18 feet times 300 feet times 0.5 feet is 2700 cubic feet.

Divide 2700 by 250 and you get 10.8. Meaning, you need 11 trucks since there is a remaining 0.8.

The minimum number of truckloads required to completely cover the section of road to a depth of 6 inches should be 11.

Since

The section is 100 yards long and 18 feet wide. The company's truck can haul 250 cubic feet of gravel per load.

So here first we have to convert 100 yards to feet so it should be 300 feet.

Now 6 inches into feet should be 0.5 feet

Now the total be like

= [tex]18 \times 300 \times 0.5[/tex]

= 2700

Now the minimum number should be

= [tex]2700 / 250[/tex]

= 10.8

= 11

Learn more about number here: https://brainly.com/question/24585170

answer is 7.5

[tex] {9}^{2} = {5}^{2} + {x}^{2} \\ 81 = 25 + {x}^{2} \\ - 25 \: \:- 25 \\ 56 = {x}^{2} \\ \sqrt{56} = \sqrt{x} \\ 7 .4833... \\ 7.5[/tex]

Answer:$175

Step-by-step explanation:

The amount of his paycheck would be $ 784.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given that Josh used one hundred dollars less than three-fourths of his paycheck to buy a new N the cost of the new TV was $488.

Let P = pay amount

3/4 P  -100  = 488    

Now add 100 to both sides of the equation

3/4 P  = 588            

Then multiply both sides of the equation by 4/3;

P =  $ 784

The amount of his paycheck would be $ 784.

Learn more about solving equations here:

https://brainly.com/question/13072448

#SPJ2

Answer:

8

Step-by-step explanation:

Answer:

Approximately mMK is 53 degrees

Step-by-step explanation:

Here, we want to find the length of MK

As we can see, we have a right triangle at LNK

so

let us find the angle at L first

9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L

so the trigonometric identity that connects adjacent to the hypotenuse is the cosine

It is the ratio of the adjacent to the hypotenuse

So;

cos L = 9/15

L = arc cos (9/15)

L = 53.13 degree

Approximately, L = 53 degrees

so now, we want to get the arc length MK

We are to use the angle-arc relationship here

Using this; arc length MK is equal to the measure of L at the center which is 53 degrees

Answer:

i can't see anything

Step-by-step explanation:

Answer:

y = -28

Step-by-step explanation:

y=-4x

Let x=7

y = -4*7

y = -28

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

Answer:

B. 9/40

Step-by-step explanation:

just got the answer

The value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric ratio:

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

sinθ = 9/41

sin is the ratio of the side opposite to the hypotenuse.

From the Pythagoras theorem:

Adjacent side² = hypotenuse² - opposite²

Adjacent side² = 41² - 9²

Adjacent side = 40

tan is the ratio of the side opposite to the adjacent

tanθ = 9/40

Thus, the value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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Answer : y = - 8

3/4y+6=0

Step 1: Subtract 6 from both sides :

3/4y + 6 - 6 = 0 - 6

3/4y = -6

Step 2: Multiply both sides by 4/3 :

( 4/3 ) × ( 3/4y ) = ( 4/3 ) × ( -6 )

Final answer is y = - 8

Answer:

2) -47, 33, -243, 907, -88

4) C & D

5) 30, 45, 0, -10

6) B

Answer:

1.)-47

33

-243

907

-88

2.)c, d

3.)Lighthouse=45

Answer:

Y=7

Step-by-step explanation:

(X,Y) or (-2,?)

X=-2

4×(-2)-4y=20

-8-4y=20

-4y=20+8 /÷(-4)

Y=7