solve the questions it is direct and indirect variations

Solve The Questions It Is Direct And Indirect Variations

Answers

Answer 1

Answer:

v = $312.5

Step-by-step explanation:

Let

Value of the gem stone = v

Weight of the gemstone = w

v = k * w²

Where,

k = constant of proportionality

w = 4 carat

v = $200

v = k * w²

200 = k * 4²

200 = k * 16

200 = 16k

k = 200/16

k = 12.5

Find v when w = 5 carat

v = k * w²

= 12.5 * 5²

= 12.5 * 25

= 312.5

v = $312.5


Related Questions

The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?​

Answers

Basically that’s it but write it down by yourself

The perimeter of the rectangle is 70cm.

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

What is the formula for the perimeter of square?

Perimeter of the square is given by

P = 4a

where,

a is the side length of the square.

P is the perimeter of the square.

What is the formula for the perimeter for the rectangle?

Perimeter of the rectangle is given by

P = 2( l + b)

Where,

l is the of the rectangle

b is the breadth of the the rectangle

According to the given question.

We have the perimeter of the square is 20cm.

⇒ 4a = 20

⇒ a = 5cm

⇒ Each side length of the square is 5cm

And a rectangle made of 10 squares.

⇒ length of the rectangle = 5×5 = 25cm

and the breadth of the rectangle = 2 × 5 = 10cm

Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm

Hence, the perimeter of the rectangle is 70cm.

Find out more information about perimeter of square and rectangle here:

https://brainly.com/question/17055034

#SPJ2

In triangle XYZ, XY¯¯¯¯¯¯¯¯=15, YZ¯¯¯¯¯¯¯=8, ∡X=(3w−35)°, and ∡Y=52°. In triangle RST, RS¯¯¯¯¯¯¯=15, RT¯¯¯¯¯¯¯=8, ∡R=(w+17)°, and ∡S=52°. Find the angle measure for each of the four angles whose measures are not known.



A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°


B. ∡R=64°, ∡T=64°, ∡X=64°, ∡Z=64°


C. ∡R=35°, ∡T=93°, ∡X=35°, ∡Z=93°


D. ∡R=52°, ∡T=76°, ∡X=52°, ∡Z=76°

Answers

Answer:

A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle XYZ, we can find XZ using cosine rule:

[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

∠X + 52 + 85 = 180

∠X + 137 = 180

∠X = 43°

∠X = 3w - 35

3w - 35 = 43

3w = 78

w = 26

In triangle RST, using sine rule:

∠R = w + 17

∠R = 26 + 17

∠R = 43°

∠R + ∠S + ∠T = 180° (sum of angles in a triangle)

43 + 52 + ∠T = 180

∠T + 95 = 180

∠T = 85°

Write the equation of a vertical line running through the point (-2,-10)

Answers

Equation would be x=-2. That creates a vertical line where all x values are -2 and therefore inclusive of (-2,-10).

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3

50 points! Help fast it’s due soon

Answers

-3, 2 would be the new coordinates of point A.

Answer:

A' = (-3, 2)

Step-by-step explanation:

Reflection over y-axis results in:

(x, y) → (-x, y)

Point A is (3, 2)

It's reflection is:

(3, 2) → (-3, 2)A' = (-3, 2)

Andy played with Buzz 65% of the time. How many times did andy play with Buzz if her played with his toys 20 times?

Answers

Answer:

13

Step-by-step explanation:

yes.

Step-by-step explanation:

65/100×29

13

plz make me brainlest

I want to know if 1/324 is equal to -324, and why.

Answers

Answer:

It’s not

Step-by-step explanation:

1/324 is betwen 1 and 0, -324 is 324 numbers below zero

(Write an equation to go with the problem) Miranda goes to the store to buy 3 apples and some rice. The total was 6.50. If the rice cost $5.00, what was the cost per Apple?

Answers

Answer:

14.15 is the answer..comment it if that subtraction or multiple division

Answer:   3x + 5 = 6.50  is the equation where x represents the cost per apple and the cost per apple is 50 cents.

Step-by-step explanation:

In this situation we will represent the cost per apple by the variable x.

If she bought 3 apples, then 3 has to be multiply by x to find the cost so we will have the expression 3x

The rice cost $5  and she spend a total of 6.50  so  3x has to be add to 5 and it has to equal 6.50.

3x + 5 = 6.50  You can now solve for x in the equation to find the cost per apple

3x + 5 = 6.50

     -5       -5

 3x = 1.5

x= 0.5  

This means  the cost of an apple is 50 cents.

If ya dont mind can u help me .....thanks


Today 108 people visited a water park during the first hour that the park was open.

This number of people is 40% of the number of people who visited the water park

during the first hour yesterday.




How many people visited the water park during the first hour yesterday?

F 148

G 270

H 292

J 151

Answers

Divide the people who costed today by the percentage:

108/0.40 = 270

The answer is G. 270

a triangle has sides measuring 31 in 18in and 25 in what is the perimeter of the triangle​

Answers

31+18+25=74 inches in total :)

What is the solution to the equation? 13 3/4+X= 7 1/ 4​

Answers

Answer: x=-6 1/4

Step-by-step explanation:

What’s the answer laaalalalalalaaaaaa

Answers

Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4

Step-by-step explanation:

Cole's Computer Company charges $50 for a service call to your home to repair your computer system, and he charges $12 per hour, h, for labor for any repair. Cole uses this formula to calculate the total cost, t.


50 + 12h = t


Mr. Greene paid Cole a total of $86 for a repair. How many hours did it take to finish the job?


Group of answer choices


a. 3


b. 7


c. 5


d. 4

Answers

Answer:

3 hours

Step-by-step explanation:

50+12h=86

-50 on both sides

12h=36

divide by 12 on both sides

h=3

Answer:

3 hours

Step-by-step explanation:

50 + 12h = 86

12h = 36

h = 3

Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?

A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers

Answers

Answer:

A. President Millard Fillmore

The answer is letter A !

cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))

Answers

Answer:

Answer below

Step-by-step explanation:

I really hope it works

13 POOINNTSSS PLEASE HELP ON 6-10 AND 13 TIMED TYSM IF U ANSWER

Answers

Answer:

The answer is 12.8.

Step-by-step explanation:

0.16 times 80 = 12.8

What is the slope of the graph?

Answers

Answer:

The slope of the graph is 10.

Use complete sentences to describe why postulates are helpful.​

Answers

Postulates are statements that are assumed to be true with out proof

Can i pls have help with is soooooooooo confused

Answers

500.

Solution:  210 is 42% of X  

Equation: Y = P% * X  

Solving our equation for X

X = Y/P%

X = 210/42%  

Converting percent to decimal:

p = 42%/100 = 0.42  

X = 210/0.42  

X = 500

Please help me solve this

Answers

Its 70% because 7/10 is .7

I need help with this!! A good explanation is HIGHLY appreciated! <3

Answers

Answer:

Step-by-step explanation:

1.3-y/0.2=1.8

-y/0.2=0.5

y=-0.1

Answer:

y = -0.1

Step-by-step explanation:

1. subtract 1.3 from both sides 1.3 - y/0.2 - 1.3 = 1.8 - 1.3

2. simplify -y/0.2 = 0.5

3. multiply both sides by 0.2 0.2(-y/0.2) = 0.5 x 0.2

4. simplify -y = 0.1

5. divide both sides by -1 -y/-1 = 0.1/-1

and you’re done! c:

You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?

Answers

Answer:

8

Step-by-step explanation:

Answer:

Candy bars: $13

Step-by-step explanation:

$3 magazine + $13 total of candy bars = $19

If x : 3 = 5 : 7 , then x = ………

Answers

Answer:

the answer is A which 2(1/7)

Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form

Answers

Answer:

y = 3x -2

Step-by-step explanation:

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

For the equation given;

y = 3x -5

the slope from here is 3

If two lines are parallel, they have equal slopes

This mean that the slope of the line we want to calculate too is 3

Now we can use the point slope format to get the correct equation

y-y1 = m(x-x1)

y+ 5. = 3(x+ 1)

y = 3x + 3 -5

y = 3x -2

Find a value of M that will give you a system of equations with exactly one solution.
Y=6x+1
Y=mx+1

Answers

Given:

System of equations is

[tex]y=6x+1[/tex]

[tex]y=mx+1[/tex]

To find:

A value of M that will give you a system of equations with exactly one solution.

Solution:

A system of equation has exactly one solution if the graph of the equation is neither parallel nor coincident.

Slope of parallel lines are same. But in the given equations if slopes are same then both the system of equations have two same equations which represent coincident lines.

For one solution, [tex]m\neq 6[/tex].

So, the value of m can be any real number except 6 because for m=6.

Thus, [tex]m=R-{6}[/tex].

1 is a real number which is not equal to 6.

Therefore, one possible value of m is 1.

select all relations that are functions from the choices below.

Answers

The correct answer is A

i need help can someone help me

Answers

Answer:

D) infinite real solutions

Step-by-step explanation:

-6(5x+10) = -3(10x+20)

-30x-60 = -30x-60

simplifying:

x=x

When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!! ‍
False

True

Answers

It is true it is a known and common fact

At Target you can buy 45 oz. of Sprite for

$2.79, and at Walmart you can buy 65 oz.

of Sprite for $2.75. Compute which

option is the better buy and by how

much.

Answers

Answer:

walmart

Step-by-step explanation:

Walmart is better because you get 20 oz extra for 4 cents cheaper than target which gives you less oz for almost the same price

5.02 Which equation does the graph below represents?

1. y = -1/2x
2. y = -2x
3. y = 1/2x
4. y = 2x

Answers

y= 2x because it’s 8/4 which can be divided by 4 and it equals 2x

Answer:

2. y= -2x

Step-by-step explanation:

When the line is on an exact point like it is on (-4, 8), we can simplify it by going rise/run

Rise is the same as y (8), and your run is x (-4)

When you divide 8/-4, your answer will be -2

Therefore, the answer is y= -2x

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