Suppose y varies jointly as × and z. What is y when × = 2 and z = 3, if y = 20 when × = 4 and z = 3?

Answers

Answer 1

Answer:

y = kxz

Step-by-step explanation:

(Find K)

20 = k(4) (3)

20/12 = k

k = 5/3

(Find Y)

y = (5/3)(2)(3)

y = 10

I hope this helps.


Related Questions

Directions: Transform the following equations into standard form.
1. x2 + 2x = -1
2. 4 + x2 = 7x
3. x2 - x = 1
4. x2 + 9x = 10
5. 4x + 3 = x2
6. x2 + 5x +5
7. 2x5 + 7x = 3x
8. x2 = 3x + 8
9. x(x + 3) = 1
10. x2 - 3x = -2
11. y2 - 7y = -6
12. z2 - 5z = -4

Answers

The standard form is:

ax² + bx + c = 0

Convert each equation:

1. x² + 2x = -1                        add 1 to both sides

⇒ x² + 2x + 1 = 0

2. 4 + x² = 7x                        add - 7x to both sides and rearrange

⇒ x² - 7x + 4 = 0

3. x² - x = 1                            add - 1 to both sides

⇒ x² - x - 1 = 0

4. x² + 9x = 10                       add - 10 to both sides

⇒ x² + 9x - 10 = 0

5. 4x + 3 = x²                        add -4x - 3 to both sides

⇒ x² - 4x - 3 = 0

6. x² + 5x = 5                        add -5 to both sides

⇒ x² + 5x - 5 = 0

7. 2x² + 7x = 3                      add -3 to both sides

⇒ 2x² + 7x - 3 = 0

8. x² = 3x + 8                        add -3x - 8 to both sides

⇒ x² - 3x - 8 = 0

9. x(x + 3) = 1                         distribute and add - 1 to both sides

⇒ x² + 3x - 1 = 0

10. x² - 3x = -2                       add 2 to both sides

⇒ x² - 3x + 2 = 0

11. y² - 7y = -6                        add 6 to both sides

⇒ y² - 7y + 6 = 0

12. z² - 5z = -4                       add 4 to both sides

⇒ z² - 5z + 4 = 0

Answer: ^^

1. x2 + 2x + 1 = 0

2. x^2 - 7x + 4 = 0

3. x^2 - x - 1 = 0

4. x^2 + 9x - 10 = 0

5. -x^2 + 4x + 3 = 0

6. x^2 + 5x - 5 = 0

7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0

8. x^2 - 3x - 8 = 0

9. x^2 + 3x - 1 = 0

10. x^2 - 3x + 2 = 0

11. y^2 - 7y + 6 = 0

12. z^2 - 5z + 4 = 0

Step-by-step explanation:

:)

Are these parallel or perpendicular or neither? 8x-2y=4 and x+4y=-12

Answers

Answer:

perpendicular

Step-by-step explanation:

(x+4y=-12) = (y = − 1 /4 x − 3)

(8x-2y=4) = (y = 4 x -2)

(Please please, actually type the answer and dont send it in a file because it wont work)

A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?

Answers

Answer: like 36 i think

Step-by-step explanation:

Answer:

14168

Step-by-step explanation: just multiple

785 to the nearest 10​

Answers

785 to the nearest ten is 790
If the last number is above 4 you round up :)

Jada, Elena, Lin walked a total of 37 miles last week. Jada walke 4 miles in Elena, and Lin walked 2 more miles than Jada.
Click on picture for more info :333









I AM BEING NICE TODAY. DONT I REPEAT DONT TAKE THE POINTS AND ANSWER A NONSENSICAL ANSWER. THIS WILL END UP IN AN REPORT LIKE BIG TIME >:<
I AM GIVING 100 POINTS AND BRAINLIEST. PRIZE GOES TO ONE WHO ANSWER FIRST AND CORRECTLY.

Answers

Elena walked=mJada walked=m+4Lin walked=m+6

ATQ

[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]

[tex]\\ \sf\longmapsto 3m+10=37[/tex]

[tex]\\ \sf\longmapsto 3m=27[/tex]

[tex]\\ \sf\longmapsto m=9[/tex]

Elena=9miJade=13miLin=15mi

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

81 x² - 4 y²

Answer C is correct.

Step-by-step explanation:

First, you have to find the area of the larger square.

Area of the larger square = (9x) × (9x)

                                          = 81 x²

Then you have to find the area of the un shaded square,

Area of the unshaded square = (2y) × (2y)

                                                  = 4 y²

Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.

Area of the shaded region = Area of the larger square - Area of the unshaded square

                                            = 81 x² - 4 y²

Hope this helps you.

Let me know if you have any other questions :-)

Round 5.456 to the nearest tenth.​

Answers

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

We use the hundredths place, so 5.

5 gets rounded up, so we have 5.5

10+ Points)
Which is the graph of a proportional relationship?

Answers

Answer:

A

Step-by-step explanation:

The graph representing a proportional relationship is a straight line graph passing through the origin.

This is shown in graph A

The answer is A i I’m think but not sure

⦁ You started with $300, and you spent $115 on Jake. You also set aside money to cover the sales tax on $300. Now it’s your turn to decide exactly what you will purchase with the money you have left. You calculated the costs and best prices for sheets, shoes, dressers, and peaches, but you didn’t buy anything yet. Now it’s time to make your purchases. Make a list of the things you will buy and how much each items cost. Explain your purchasing decisions. PLEASE HELP ME THIS IS FOR MATH AND I AM GOOD AT MATH BUT NOT AT WRITING PLEASE HELP.

Answers

Answer:Twin Bed – $60.48

Shoes - $20

Dresser, Mirror, Bookshelf - $82.11

Blanket, Clothes, Toys, Diapers - $277

Step-by-step explanation:

This gives us a total of 439.59

The cube less the square of a number is twice the number. If x is a positive integer, what is its value

Answers

Answer:

2

Step-by-step explanation:

let 'x' = number

x³ - x² = 2x

x³- x² - 2x = 0

x(x² - x - 2) = 0

x(x - 2)(x + 1) = 0

x = -1, 0, 2

the only positive solution is the number 2

You are choosing between two health clubs Club A offers membership for a fee of $21 plus a monthly fee of $20. Club B offers
membership for a fee of $35 plus a monthly fee of $13. After how many months will the total cost of each health club be the same?

Answers

Answer:

$$x=5$$, so after five months the costs would equal each other

Step-by-step explanation:

i think pls mark brainliest

find the lowest common multiple of: 10 ,15 and 18​

Answers

Answer:

90

Step-by-step explanation:

solve pls brainliest

Answers

1 no
2 no
3 no
4 no
Hope it helps! :)

Answer:

0.92 can be written as a fraction, because it is a terminating decimal. ( See the following. )

[tex] \frac{23}{25} [/tex]

0.777... can't be wrtten as a fraction, because it is a repeating decimal.

0.444... can't be written as a fraction, because it is a repeating fraction.

0.5813.. can't be written as a fraction, because

it is a decimal that neither terminates nor repeats.

For example : Root numbers don't terminates or repeats.

[tex] \sqrt{ 2} = 1.41421...[/tex]

I hope it helps.

Tim buys a book for $50.38. If he paid 3% in sales tax, then what did the book cost
before tax?

Answers

Answer:

Total cost of the book = $51.89

Step-by-step explanation:

Total cost of the book = Cost of the book + (cost of the book × sale tax %)

Total cost of the book = $50.38 + ($50.38 × .03)    3% = .03 as a decimal

 Total cost of the book =$50.38 + $1.5114)

  Total cost of the book = $51.8914

   Total cost of the book = $51.89

The difference of two numbers is 3. Their sum is - 24. Find the numbers.

Answers

Answer:

y = -13.5

x = -10.5

Step-by-step explanation:

Hi there!

Let the two numbers be equal to x and y.

The difference of two numbers is 3 ⇒ x - y = 3

Their sum is - 24 ⇒ x + y = -24

Solve using elimination:

x - y = 3

x + y = -24

Add the two equations:

x + x - y + y = 3 - 24

2x = -21

x = -10.5

Solve for y:

-10.5 - y = 3

- y = 3 + 10.5

y = -13.5

I hope this helps!

The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.

A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes

Answers

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

i need help please, i need the answer now!

Answers

The answer is 200, if it’s wrong I’m sorry

Who has the best conclusion?
A.Sheryl said the lowest grade was a 70 and the highest grade was a 92.
B.Shania said the highest grade was a 100.
C.Andrea said the lowest grade was a 68 and the highest grade was a 92.
D.Allen said the range of the scores was 32.​

Answers

Answer:

B. Shania's conclusion is the only accurate one.

Step-by-step explanation:

If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?​

Answers

Answer:

see below

Step-by-step explanation:

the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11

Work out the value of R
Give your answer in standard form to an appropriate degree of accuracy.

Answers

Step-by-step explanation:

R = x²/y

Substitute

R = (4.8×10⁵)²/2.8×10⁴

= 4.8²×10¹⁰/2.8×10⁴

= 23.04×10¹⁰/28000

someone please help ​

Answers

Step-by-step explanation:

polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).

so,

A is not.

(x + 2)³ = x³ + 8

(x+2)(x+2)(x+2) = x³ + 8

(x² + 4x + 4)(x+2) = x³ + 8

x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8

x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8

B is not.

x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)

x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x

x⁶ + x = x⁶ - x

that is definitely not generally equal.

C is an identity

(x² - 1)(x⁴ + x² + 1) = x⁶ - 1

x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

D is not.

(x+1)⁴ = x⁴ + x³ + x² + x + 1

(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1

(x²+2x+1)² = x⁴ + x³ + x² + x + 1

x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =

x⁴ + 4x³ + 6x² + 4x + 1

that is definitely not generally the same as

x⁴ + x³ + x² + x + 1

E is an identity

(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1

x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =

x⁵ + 1 = x⁵ + 1

yes, identical.

F is an identity

(x³-1)(x³+1) = x⁶ - 1

x⁶ + x³ - x³ - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

What is an equation of the line perpendicular to
y=1/5x+2 that contains (15,-4)

Answers

Answer:

y + 4 = -5(x - 15)

Step-by-step explanation:

The given line has a slope of 1/5.  Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5:  -5.

Use the point-slope equation of a line:  y - k = m(x - h), where (h, k) is the point through which the new line passes.  Here h = 15 and k = -4, so we have:

y + 4 = -5(x - 15)

This line is perpendicular to the given line and also passes through (15, -4).

Put 62%, 0.71, 0.8, 5/8 in ascending order

Answers

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

Find 1 2··31 1 22 1··22. Show your work

Answers

1 = 1 = 1 < 2 < 22

1 is equal to 1 is equal to 1 is less than 2 is less than 22

1 = 1    =1    < 2   < 22                                                                                                                1       1       1       1        1        hope help mark brain.....?

find the gradient and y- intercept of the line with equation 2x+3y-7=0

Answers

Answer:

Gradient = -2/3

y-intercept = 7/3

Step-by-step explanation:

Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept

2x + 3y = 7

3y = -2x + 7

y = -2/3x + 7/3

cost $ 99.99 Markup rate 10 %
!!!!!!!10 POINTS TO WHO EVER ANSWER I WILL BE GIVING MORE ON THE NEXT QUESTION!!!!!!!

Answers

Answer: %0.00100010001

Step-by-step explanation:

hello guys I need help, the things in parenthesis is just me talking) Your friend writes 0.86 as a percent. 0.86 = 00.86=0.0086% 86 Is your friend correct? (picked no) Explain your reason ( I don't know how to explain it)​

Answers

Answer:

0.86 as a percent is 86%.

Step-by-step explanation:

Have a great rest of your day

#Nova

P.S

give the braineist to the other person pls

The radius of a vegetable garden is 63m. If 1188m pf wire is given to fence around it, how many rounds of fencing can be made

Answers

Answer:

3 rounds

Step-by-step explanation:

Circumference of the garden is:

C = 2πrC = 2*3.14*63 = 395.64 m

Number of rounds:

1188 / 395.64 = 3

Radius=63m=r

Circumference

[tex]\\ \sf\longmapsto 2πr[/tex]

[tex]\\ \sf\longmapsto 2(3.14)(63)[/tex]

[tex]\\ \sf\longmapsto 6.28(63)[/tex]

[tex]\\ \sf\longmapsto 395.6m[/tex]

Wire=1188m

Rounds:-.

[tex]\\ \sf\longmapsto 1188/395\approx 3[/tex]

Theo leased a corvette for his wedding. The total cost (C) was $777. Find out how many hours the corvette was leased using the equation: C = 10h + 75

I MIGHT GIVE BRAINLY PLS HELP 100 POINTS

Answers

Answer:

70.2

Step-by-step explanation:

777 = 10h + 75

=> 702 = 10h

=> h = 70.2

Therefore, it took 70.2 hours to lease the corvette.

Hoped this helped.

The tape diagram represents an equation.
р
p
36
Find the value of p that makes the equation true.

Answers

Answer:

It's 6

p=6

Step-by-step explanation:

Other Questions
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