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

Find the equation of the line which passes through the point A(2,1) and is parallel to the line 2x + 3y = 5

Answers

Answer: Find the slope of the original line and use the point-slope formula Y - Y^1 = M (X - X^1) to find the line parallel to 2 x + 3y =5

Step-by-step explanation:

Y= -2/3 x + 7/5

solve the inequality. 2y ≥ 4​

Answers

Answer: y≥2

Step-by-step explanation:

Step-by-step explanation:

[tex]2y \geqslant 4[/tex]

[tex]y \geqslant \frac{4}{2} [/tex]

[tex]y \geqslant 2[/tex]

To win a trivia game, Nevan must score 90 points. Each correct
answer is worth 1 3/4 points, and each incorrect answer is worth
- 1/4 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?

Answers

Answer:

Nevan does not win

He scored 74 points

Step-by-step explanation:

First, find how many points he gets from 58 correct questions:

Multiply 1 3/4 by 58:

58(1.75)

= 101.5

Then, find how many points he loses from 22 incorrect questions:

Multiply -1 1/4 by 22:

22(-1.25)

= -27.5

Then, subtract 27.5 from 101.5 to find how many points he scored:

101.5 - 27.5

= 74

Since he needed 90 points to win, he did not win because he only got 74.

Step-by-step explanation:

What is 1/10=4/5y ?????

Answers

Answer:

y = 1/8

Step-by-step explanation:

Divide both sides by 4/5, 1/10 divided by 4/5; 4/5y divided by 4/5. In 4/5y divided by 4/5, the two 4/5s cancels out, leaving y alone. 1/10 divided by 4/5 equals to 1/8. Now you have, 1/8 = y, which is the same thing as y = 1/8. Therefore, the value of y is 1/8.

Answer: 1/8

Step-by-step explanation:

4/5y=1/10

*multiply both sides by 5, and you'll get

4y=1/2

*divide both sides by 4

y=1/8

Helpppppppppp meeeeeeeeee

Answers

Answer:

Step-by-step explanation:

Hi, I am struggling on this math question. Can someone help me out please? I more so need how to set up the equation than the answer.
The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium?

Answers

Answer:

18 green fish and there are 12 yellow fish

The perimeter of a triangle is 17x−5 units. One side is 3x+5 units and another is 8x−3 units. How many units long is the third side?

Answers

9514 1404 393

Answer:

  6x -7 units

Step-by-step explanation:

Let c represent the length of the third side. The perimeter is the sum of the three side lengths.

  P = a + b + c

  (17x -5) = (3x +5) +(8x -3) +c

 17x -5 = 11x +2 + c . . . . . . . . . . . . collect terms

  6x -7 = c . . . . . . . . . . . . . . subtract 11x+2

The third side is 6x -7 units.

A car covers the distance between two cities in 6 hours. A van covers the same distance in 5.5 hours by travelling 4 km/h faster than the car. What is the distance between the two cities? Find the speed of the car and the van.​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A car covers the distance between two cities in 6 hours.

A van covers the same distance in 5.5 hours.

The speed of the van is 4 km per hour faster than the speed of car.

Let assume that

Speed of the car be x km per hour

So,

Speed of van is x + 4 km per hour.

Let further assume that

Distance between two cities be y km.

We know, Distance covered = Speed × Time.

➢ Now, Distance (y) covered by car at the speed of x km per hour in 6 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 6x}} - - - - (1)[/tex]

➢ Also, Distance (y) covered by van at the speed of x + 4 km per hour in 5.5 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 5.5(x + 4)}} - - - - (2)[/tex]

So, from equation (1) and (2), we have

[tex]\rm :\longmapsto\:6x = 5.5(x + 4)[/tex]

[tex]\rm :\longmapsto\:6x = 5.5x + 22[/tex]

[tex]\rm :\longmapsto\:6x - 5.5x = 22[/tex]

[tex]\rm :\longmapsto\:0.5x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{5}{10} \times x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{1}{2} \times x = 22[/tex]

[tex]\bf\implies \:x = 44[/tex]

On substituting the value of x, in equation (1), we have

[tex]\rm :\longmapsto\:y = 6 \times 44[/tex]

[tex]\bf\implies \:y = 264[/tex]

So,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{Distance \: between \: cities = 264 \: km} \\ \\ &\sf{Speed \: of \: car \: = \: 44 \: km \: per \: hour}\\ \\ &\sf{Speed \: of \: van \: = \: 48 \: km \: per \: hour} \end{cases}\end{gathered}\end{gathered}[/tex]

Which of the following statements are not true?

Answers

Answer:

1.false. 2.true 3.false 4.true

what's the distance between each pair of points R(0,5), S(12,3)

Answers

Answer:

square root of 369

Step-by-step explanation:

Choose the correct description of each system of equations.
3x + y = 3
x - 2y = 4

Answers

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Given the system of equation expressed as:

3x + y = 3

x - 2y = 4

Solve simultaneosly;

3x + y = 3 ............. 1 * 1

x - 2y = 4 ...............2 * 3

_________________________

3x + y = 3

3x - 6y = 12

Subtract

y-(6y) = 3 - 12

7y = -9

y = -9/7

Substitute y = -9/7 into the equation to get x

x - 2y = 4

x - 2(-9/7) = 4

x + 18/7 = 4

x = 4 -  18/7

x = 3/7

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

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What is the rounded number when 4 872 is rounded to the nearest hundred?

Answers

Answer : 4900

(The answer is 4900, that’s what i got)

Perform the indicated operations. Reduce your answer to it's lowest term. ​

Answers

Step-by-step explanation:

15 1/2+ 3/4=16 1/4

to add fractions what you want to do is this:

so you want them as the same denominator, a way to do this is multiply one denominator with another (ex, 2 in 1/2. you want to multiply 4 with 2 which equals 8 and 2 with 3. this together equals 6/8. do the same thing with 1/2. 1×4=4 2×4=8. 4/8)

so, whats 4/8 and 6/8? just adding it like usual, it'll be 10/8, or 1 2/8.

15+1 2/8=16 2/8

16 2/8 simplified (just divide by 2 until you make it to where you cant anymore)

16 1/4

do the same with the other adding ones.

23 1/6+8 3/4=23 11/12

15 2/5+ 2 2/6= 17 11/15

now, do the same way as showed before but except subtract.

9/10 - 3/5 = 15/50

7 3/4 - 5 5/8 = 1/8

20 5/8= 1/8

A car is traveling at a steady speed. It travels 1 ¾ miles in 2 ⅓ minutes. How far will it travel in 41 minutes? In 1 hour?

Answers

Answer:

What can I do for you?

Step-by-step explanation:

After running
7/8 mile in a horse race, a horse ran an additional 3/8 mile to cool down. How far did the horse run altogether?

Answers

Answer:

1 2/8 (simplified 1/4)

Step-by-step explanation:

Well indicating that you have to add

7/8+3/8

7+3= 10

don't add the bottom numbers

10/8 simplify that

1 2/8

simplify

2/8, which is 1/4

Gives you the answer of

1 1/4

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{7}{8}+\frac{3}{8} = \frac{10}{8}= 1\frac{2}{8}divided by 2 = 1\frac{1}{4}[/tex]

answerrrrrrrrrrrrr plzzzzzzzzzzzzz

Answers

Answer:

65°

Step-by-step explanation:

2x= 130° (vertically opposite angles)

x= 130/2

x= 65°

Answer:

x = 65

Step-by-step explanation:

hello,i need help with this question:

The sum of the measures of angle M and angle R is 180⁰.

• The measure of angle M is (5x+10)⁰.

• The measure of angle R is 55⁰.

What is the value of x?

Answers

Answer:

x = 23

Step-by-step explanation:

If the sum of angles is equal to 180 then we can write and equation to find the value of x

5x + 10 + 55 = 180 add like terms

5x + 65 = 180 subtract 65 from both sides

5x = 115 divide both sides by 5

x = 23

A company spent 20% of its annual budget developing a new machine. What fraction of the company’s budget was spent developing the new machine?
A. 1/20
B. 5/15
C. 1/5
D. 3/19

Answers

Answer:

c

Step-by-step explanation:

20/100 can be simplified to 2/10, which can be simplified further to 1/5

Franklin starting playing video games as soon as he got home from school. He played video
games for 54 minutes. Then Franklin helped clean the kitchen for 1 hour. After the kitchen
was clean, it took Franklin 57 minutes to finish his homework. wWhen Franklin finished his
homework, it was 5:56 P.M. What time did Franklin get home from school?

Answers

Answer:

3:05

Step-by-step explanation:

Answer: he got home at 3:05 pm!

Step-by-step explanation:

working backwards from the time stamp 5:56pm, we can just subtract the time he spent gaming and doing chores:

5:56

-0:54 mins games

-1:00 cleaning

-0:57 for homework= the time he got home, but lets make it easier!

54+57=111, in total, that's 1:51 time wise, so that simplifies it a little, be we can simplify it further, by adding the hour spent cleaning.

1:51 on homework n games + 1:00 on cleaning = 2:51 spent on home stuff in general

so lets go back to our subtraction:

5:56 pm -time stamp after all his chores

-2:51 spent on home stuff

= 3:05 pm the time he left school

7x^2 -3x-6
7x
2
−3x−6

Answers

Answer:

7x⋅2−3x−6=11x−6

Step-by-step explanation:

5 - (x - 2)^2 for x = -1

Answers

Step-by-step explanation:

the answer is 8

5-(-1-2)

5-(-3)

5+3

=8

The Equation of line u is y =-8/9x+5/4. The equation of line v is y =9/8x+7/4. Are line u and line v parallel or perpendicular?

Answers

Answer:

when two lines are parallel the two slopes are equal (m1 =m2)

when two lines are perpendicular the product of the slopes is equal to -1( m1m2= -1)

m1 =1st slope

m2= 2nd slope

using the formula y= mx +c

m1= -8/9

m2= 9/8

since m1 is not equal to m2 and -8/9 × 9/8 = -1

It is perpendicular

Step-by-step explanation:

PLS MARK BRAINLIEST

Can someone help please

Answers

1) 50

2) 45

3) 135

4) 63

helppp please;;o8naeoicnpinepicanpinpaivandipsonasicnascicnqneci
qncoieafnpinpnasicnpiipceamcaoepcje

Answers

Answer:

See below.

Step-by-step explanation:

First question:

Think of the x-axis as a mirror. Quadrilateral is above the x-axis. Quadrilateral is below the x-axis. Quadrilateral ABCD was reflected across the x-axis. Quadrilateral A'B'C'D' is a mirror image of quadrilateral ABCD.

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral A'B'C'D'.

Second question:

Quadrilaterals ABCD and A"B"C"D" are both turned the same way. Quadrilateral A"B"C"D" is just moved left and down from quadrilateral ABCD. That transformation is called a translation.

Quadrilateral ABCD undergoes a translation 7 units left and 1 unit down to form quadrilateral A"B"C"D".

Each year a certain amount of money is deposited in an account which pays an annual interest rate of so that at the end of each year the balance in the account is multiplied by a growth factor of x = 1 + r. $300 is deposited at the start of the first year, an additional $500 is deposited at the start of the next year, and $400 at the start of the following year.

A) Write an expression for the value of the account at the end of three years in terms of the growth factor .

B) What is the amount (to the nearest cent) in the account at the end of three years if the interest rate is 2%?

Answers

Answer: 5%

Step-by-step explanation:

Can someone help me do this

Answers

Answer:

5x +2 = 87

So X = 17

3y = 42

So Y = 14

Find all real square roots of - 144​

Answers

Answer:

The square roots of 144 are 12 and -12 which are rational numbers.

Step-by-step explanation:

Triangle XYZ has points X = (–4,4), Y = (0,1), and Z = (4,4). Triangle X'Y'Z' has points X ’= (–5,–4), Y’ = (–1,–1), Z’ = (3,–4). What is the transformation of XYZ to X'Y'Z'?

Answers

so they moved down one and reflected over the y axis

Which one is this answer for this can someone help me pzl

Answers

Answer:

66

Step-by-step explanation:

The red mark with "22" indicted that's 22, So you can remove 44(A) and 66(D), It cant be 22(B), Its Cleary 11.5(C)

Can someone explain how to write a fraction in simplest form? Example: 5/8-(7/8) I’ll mark as brainliest!!!!

Answers

Answer:

-2/8 or 1/4

Step-by-step explanation:

5/8-7/8, u sbtract the numerator then divide

subtract the numetrator=5-7=-2

divide= -2/8=-1/4

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