The value of y varies directly with x. If x = 3, then y = 18. What is the value
of x when y = 84

Answers

Answer 1

The value of x when y = 84 is 14

From the question,

The value of y varies directly with x

That is,

y ∝ x

Introducing the constant of proportionality, k

We get,

y = kx

Also, from the question

If x = 3, then y = 18

Putting these values into the equation, we can determine the value of k

[tex]y = kx[/tex]

[tex]18 = k \times 3[/tex]

Now, divide both sides by 3

[tex]\frac{18}{3}=\frac{k \times 3}{3}[/tex]

[tex]6 = k[/tex]

∴ k = 6

Now, to determine the value of x when y = 84

We will put y = 84 and the value of k =6 into the equation

[tex]y = kx[/tex]

[tex]84 = 6 x[/tex]

Divide both sides by 6

[tex]\frac{84}{6} = \frac{6x}{6}[/tex]

[tex]14 = x[/tex]

∴ [tex]x = 14[/tex]

Hence, the value of x when y = 84 is 14

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Related Questions

What is 10% of 30 plz help I am stuck in this answer

Answers

the correct answer is 3

Answer:

it's 3

Step-by-step explanation:

In a survey taken 6/10 of students chose to attend in person learning on Mondays. 3/10 of students chose Tuesdays. How many students chose Monday or Tuesday?

Answers

Answer:

9/10 students chose Monday or Tuesday.

or

90% of students chose Monday or Tuesday

Explanation:

We add both fractions 6/10 + 3/10 which equals 9/10

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Answer:

right triangle

Step-by-step explanation:

Answer:

Right triangle is your answer ☺️☺️☺️

Which of the equations below has no solution?

Answers

The last choice.

I have solved all of the problems and the last choice is the only one that has no solution.

The height of a cone is 10 inches and the radius of the cone is 4 inches. What is the approximate volume golf the cone?

Answers

Answer:

V = 167.55 inches^3

Step-by-step explanation:

[tex]v = \frac{1}{3} \pi {r}^{2} \times h \\ v = \frac{1}{3} (3.14) \times ( {4})^{2} \times (10) \\ v = 167.55 \: \: \: {inches}^{3} [/tex]

I hope that is useful for :)

Just need to sub into the formula

suppose the length of the pool in Example 1 is
3 times the width. How does the function that
represents the combined area of the pool and
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Answers

do they have a picture which comes w it

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4). If a translation of is applied to square ABCD, what is the y-coordinate of B'?

Answers

Answer:

The y coordinates of B' is: 8

Step-by-step explanation:

Given

[tex]A = (-5,2)[/tex]

[tex]B =(1,2)[/tex]

[tex]C = (-4,1)[/tex]

[tex]D = (-5,-4)[/tex]

Translation of (x, y) → (x + 6, y – 10)  ---Missing from the question

Required

Determine the y coordinates of B'

We have:

(x, y) → (x + 6, y – 10)  

And

[tex]B =(1,2)[/tex]

So the translation from B to B' is:

[tex]B (1,2) \to B'(1+6,2-10)[/tex]

[tex]B (1,2) \to B'(7,-8)[/tex]

So, we have:

[tex]B' = (7,-8)[/tex]

The y coordinates of B' is: 8

Answer:

-2

Step-by-step explanation:

What is the relationship between ratios and rates?

Answers

Answer:

The relation ship between ration and rates is they compare numbers

Step-by-step explanation:

Please give brainliest

Answer:

Ratio is comparing 2 things like apples to oranges and rates is how much is it like a percentage for example there is 4% oranges.

Step-by-step explanation:

Three of the flowers in the bouquet are lilies. There are a dozen flowers total. What percent of the flowers were lilies?

Answers

Answer:

25%

Step-by-step explanation:

In the figure to the right, if AC = 21 and BC = 18, what is the
radius?

Answers

Triangle is missing, so i have attached it.

Answer:

Radius = 10.82

Step-by-step explanation:

From the image attached, the triangle is obviously a right angle triangle and therefore, the missing side (AB) which is the radius can be found via pythagoras theorem.

We are given;

AC = 21

BC = 18

Thus;

|AC|² = |AB|² + |BC|²

21² = |AB|² + 18²

|AB|² = 441 - 324

AB = √117

AB = 10.82

Answer: The answer is 10.8    mathxl/pearson2022

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°

Answers

Answer:

14.2cm

Step-by-step explanation:

Complete question:

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.  

Rounded to the nearest tenth of a centimeter, what is the length of arc LMN?  

Find the diagram attached

arc LN= arc  LM + arc MN

First we need to get the arc MN

length of an arc = theta/360 * 2πr

length of arc MN = 75/360 * 2(3.14)(6)

length of arc MN = 0.20833*37.68

length of arc MN = 7.85

Hence;

arc LN = 6.3 + 7.85

arc LN = 14.15cm

Hence the length of arc LN is 14.2cm

the diameter of a sphere is 15 inches. what is the volume of the sphere?

Answers

Answer:

22222222222222222222222

Step-by-step explanation:

The answer is 2 hope this helps

Solve each system of equation Y=x+12 y=-18

Answers

i think it is x = -30
Hey! DONT let math ruin ur life go live ur dreams and enjoy them
Have a great day!

Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.

Answers

Answer:

She didn’t use the correct formula for area of a triangle.

Step-by-step explanation:

edg 2021 Sorry for the late answer.

Question 3
The equation y = 3x − 3 can be used to find y when x is given. Which question can be answered using this equation?
Select one:

Daniel is 3 years younger than 3 times Allison's age. How old is Daniel?

The cost of the necklace is more than 3 times the cost of the earrings. What is the cost of the earrings?

Mr. Byrd worked 3 hours less than 2 times his regular shift on Tuesday. How many hours is his regular shift?

Jacqui and Alex spent 3 hours more than 3 times the original time planned to build the new deck on their house. How much time did they spend?

Answers

g 168729 ahhw 67888 keep moving to the left

Kim wants to solve the equation 538+ 223= x. How should Kim rewrite the sum in order to solve for x?

Answers

Answer:

x = 761

Step-by-step explanation:

x = 538 + 223

x = 761

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Answers

Answer:

3. 52(1).93 + (7).1

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What is (-7)^2 simplified?

Answers

Answer:

the answer is 49

Step-by-step explanation:

(-7) x (-7) = 49 positive not negative

Pls help with my homework,
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Answers

These will be the answers

Find the values of x and y.

Answers

Answer:

Step-by-step explanation:

y = 5

All sides measure the same So 8y= 40          y = 5

x = 30 degrees

The straight line of 40+40 is a straigth angle of 180 Each angle of equilateral triangle is 60 degrees.So its supplementary is  120.The other 2 angles need to add to 60 (30 each) to sum 180 in a triangle

(HELP ILL GIVE BRAINLY IF YOU WANT! ITS A MULTIPLE CHOICE)

Answers

Answer:

2(x²-13)

Step-by-step explanation:

the expression above gives 2x²-26

when expanded we get 2(x²-13)

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Answer:

Step-by-step explanation:

i dont have edg but i use ap'ex and i hate it so much

Answer:

MEE I am so behind. Latterly why do they give us so many lessons a day. I am just doing well I am online. I can't what until I go back to my normal school

Step-by-step explanation:

B!!! i don’t understand it!!! by tonight please

Answers

Answer:

x = 7

y = 25

Step-by-step explanation:

First, we know that x=7 because has the same hypotenuse (the long side) and also has a right angle.

Now, to find out y. The equation for discovering the hypotenuse is:

c = √(a² + b²)

C is the hypotenuse.

A is one of the shorter sides.

B is also one of the shorter sides.

NOTICE: THIS EQUATION ONLY WORKS FOR RIGHT TRIANGLES.

So, now you just need to fill the equation in:

c = √(7² + 24²)

c = √(49 + 576)

c = √(625)

c= 25

So, now we have y, the hypotenuse!

Hope this helped :D

pls help me I have no idea what I'm doing​

Answers

Answer:

3.2mm ^3

Step-by-step explanation:

First find the scale factor to get the height of the smaller figure

SF= 1/5 or 0.2

Then use the Volume equation for triangular pyramid 1/3*(base area)*(height)

Your equation should look like this:

1/3 (4)(2.4)

9.6/3

Volume= 3.2 mm ^3

Hurry Please!!!!!
When a rectangle is cut diagonally, two congruent right triangles are formed. Which expression shows how to use the area of the rectangle to find the area of one of the right triangles?

Answers

Don’t use his link! It’s a fake website to get you a virus

A circle is centered at M(0,0)M(0,0)M, left parenthesis, 0, comma, 0, right parenthesis. The point B(-4,\sqrt{5})B(−4, 5)B, left parenthesis, minus, 4, comma, square root of, 5, end square root, right parenthesis is on the circle.
Where does the point A(5,-1)A(5,−1)A, left parenthesis, 5, comma, minus, 1, right parenthesis lie?

PLSSS HELPPP. PLS SEND PIC OR TYPE THE ANSWER. IT IS ON KHAN ACADEMY AS WELL

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Answer:

outside

Step-by-step explanation:

desmos

Answer:

C, outside

Step-by-step explanation:

Need help with number 6 please.

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Answer: D

Step-by-step explanation:

36.20/10= 3.62

3.62x7= 25.34

$25.34

A skateboard ramp at a park has an inclination of 54º and its base is 12 feet long. What is the length of the ramp?​

Answers

The length of the skateboard ramp at the park is 20.4 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let x represent the length of the ramp, hence using trigonometric ratio:

cos(54) = 12/x

x = 12/cos(54)

x = 20.4 feet

The length of the skateboard ramp at the park is 20.4 feet.

Find out more on trigonometric ratio at: https://brainly.com/question/4326804

If six pairs of jeans cost $235.74, how much would 2 pairs of jeans cost?

Answers

Divide the cost of jeans time the pairs

Answer:

$78.58

Step-by-step explanation:

First you divide 235.74 by six to find the individdual   jean price (235.74/6=39.29)   Then you add 39.29+39.29 =  78.58

A triangle has angle measuring 40 and a right angle. what is the measurement of the triangle's third angle?

Answers

Answer:

50 degrees

Step-by-step explanation:

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