Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54

Answers

Answer 1

Answer:

z = 2.25xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 3, y = 8 and z = 54 , then

54 = k × 3 × 8 = 24k ( divide both sides by 24 )

[tex]\frac{54}{24}[/tex] = k = 2.25

z = 2.25xy ← equation of variation


Related Questions

The area of a square is 161 m2. Which of the following best represents the perimeter of the square?

Answers

Answer:

322m for perimeter

Step-by-step explanation:

161/2 = 80.5

80.5*4 = 322

i think

Solve using the Quadratic Formula:

a) -7x^2 + 7x + 1 = -8

b) -6x - 1 + 5x^2 = 8x^2

Show your work.

Answers

A. - 7x² + 7x + 1 + 8 = 0

- 7x² + 7x + 9 = 0

x = - b ± √b² - 4ac / 2a

= - 7 ± √7² - 4 (-7) (9) / 2 (-7)

= - 7 ± √49 + 252 / - 14

= - 7 ± √ 301 / - 14

x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14

= 10.349 / - 14 = - 24.349 / - 14

= - 0.739 = - 1.739

B. 8x² - 5x² + 6x + 1 = 0

3x² + 6x + 1 = 0

x = - b ± √b² - 4ac / 2a

= - (-5) ± √-5² - 4 (3) (1) / 2 (3)

= 5 ± √25 - 12 / 6

= 5 ± √ 13 / 6

x = 5 + 3.606 /6 x = - 5 - 3.606 / 6

= 8.606/6 = - 8.606/6

= 1.434. = - 1.434

please re-check the answers hope this helps

expand 7(2x+7). need help quickly if possible

Answers

Hello there! :)

To expand this expression, we have to use the Distributive Property, which states:

a(b+c)=ab+ac

7(2x+7)=14x+49

Hence, 14x+49 is the expression (Answer)

Hope it helps you!

~A lonely teen who helps others and listens to her favourite song "How Far I'll Go

-Grace ;-)

Good luck.

7 (2x + 7)

= (7 × 2x) + (7 × 7)

= 14x + 49

_____

Hope it helps ⚜

PLZ HELP
fill in the blanks ​

Answers

Answer:

Step-by-step explanation:

First, to solve the problem, you must distribute the 5 to the (2 + 9). Which ends you up with 10 + 45. Which would give you 55, but we aren't solving it.

So instead, when you are distributing, you are taking the number next to the parentheses (5) and multiplying it into the parentheses like this:

(5 x 2) + (5 + 9).

That is your answer. Hope this helps.

5 x (2 + 9) = (5 x 2) + (5 x 9)
Ok done. Thank to me :>

What does a fraction represent

Answers

A fraction represents a part of a whole or any numbers of equal parts

the temperature of the fish tank must be atleast 68F but no more than 77F

Answers

Answer:

72 f

Step-by-step explanation:

40% of 58 and 34% of 76

pls subscribe to aphmau it'll help her alot

Answers

Answer:

See below

Step-by-step explanation:

40% of 58 = 0.40(58) = 23.2

34% of 76 = 0.34(76) = 25.84

Answer:

23.2

25.84

Step-by-step explanation:

To calculate percentage, multiply the number by the percentage's decimal.

for example, 20% of 300

20%-->20/100---->0.20

300×0.20=60

40% of 58--->

40/100--->0.40

58×0.40=23.2

34%--->34/100--->0.34

0.34×76=25.84

Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?

A.
x + y = 13
0.25x + 0.5y = 3.55

B.
x + y = 13
0.25x + 0.05y = 3.55

C.
x + y = 13
25x + 5y = 3.55

D.
x + y = 3.55
0.25x + 0.05y = 13

Answers

Answer:

The answer is B

x + y = 13 0.25x + 0.5y

A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.

Answers

The regular hexagon has 6 reflectional symmetries.

A regular hexagon has 6 congruent sides.

The number of sides of a polygon is the number of reflectional symmetry the polygon have.

Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.

Read more about reflectional symmetry at:

https://brainly.com/question/24584937

Answer:

It´s 6

Step-by-step explanation: Hope it helps ^w^

If 35 liters of petrol cost $21.00, what is the price per liter?

Answers

Step-by-step explanation:

if 21 dollars = 35 liters

the ? dollars = 1 litre

it will be less so more which is the 35 divides

so we have

1/ 35 ×21

21/35

0.6

If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7

Answers

[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]

F(x)=3x-1
-7=3x-1
-6=3x
-6/3=x
X=-2


HELP PLEASE
I NEED TO CHECK OFF THE TWO FUNCTIONS USED TO CREATE THE GRAPH BELOW

Answers

linear and trigonometric

100,105,110.25… recusive formula

Answers

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]

answer this as quick as possible

Answers

Step-by-step explanation:

For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).

The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).

For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.

Same for the - but it goes backwards

Hope that helps

​Mr. Allen says that the equation y=2x+1 has a solution of (4, 9). Is Mr. Allen right or wrong?​

Answers

Answer:

right

Step-by-step explanation:

y=2x+1

9=2(4)+1

9=8+1

9=9

Hep help help math math math

Answers

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?

Answers

Step-by-step explanation:

the slower truck travels x miles in 5 hours.

the faster truck travels x + 5×2 = x + 10 miles in 5 hours.

so,

x + x + 10 = 315 miles

2x = 305 miles

x = 152.5 miles (in 5 hours)

therefore, the slower truck's speed was 30.5 mph.

the faster truck's speed was 30.5 + 2 = 32.5 mph.

Java 1
Question 20
What will be printed by the following code?

String str = "Have a nice day!";
System.out.println(str.length());

a. Have a nice day
b. 16
c. 13
d. Have
e. 4

Question 21
Examine this code:

String str = "Hello World!" ;

What is the index of the character 'W'?

a. 6
b. 7
c. 5
d. 8
e. 2

Answers

Answer:

Q20     b.16

Q21      a.6

Step-by-step explanation:

count charcters  Have a nice day!  ==16

Q21    why 6

because index start with 0 and not 1

just count

H ==> 0

e==> 1

l==> 2

.

.

W=>6

Question is on the picture ​

Answers

Answer:

B. 30/65 and experimental

Step-by-step explanation:

30/65 is your answer

4x + 5y = 18.5
2x + 4y = 13
Work out the values of x and y.

Answers

Answer:

x = 1.5 , y = 2.5

Step-by-step explanation:

4x + 5y = 18.5 → (1)

2x + 4y = 13 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the x- term

- 4x - 8y = - 26 → (3)

add (1) and (3) term by term to eliminate x

- 3y = - 7.5 ( divide both sides by - 3 )

y = 2.5

Substitute y = 2.5 into either of the 2 equations and solve for x

Substituting into (1)

4x + 5(2.5) = 18.5

4x + 12.5 = 18.5 ( subtract 12.5 from both sides )

4x = 6 ( divide both sides by 4 )

x = 1.5

Solve X 4x+5y=18.5 Solve Y

4x+5y=18.5 move the 4x+5y=18.5
to the right Divide side by 5
4x=18.5-5y Divide by 4 5y=18.5-4x
5 4
X=4.625 - ——y y=3.7 - ——x
4 5

Jimez has $27 in his pocket. Which is the least number of bills that he can have, assuming he could possibly have $1, $5, $10, and $20.
(A) 3
(B) 4
(C) 5
(D) 8​

Answers

Answer:

4, because he could have a 20 a 5 and two ones.

Step-by-step explanation:

3 one bills assuming he has a twenty and a five

The sum of 3 and m
A.x-3
B.1/2y
C.3+m
D.14+3x
E.x+5
F.14+4x

Answers

Answer:

C

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

first of all thank you for reading this

it's addition which 3 + m

What is the radical form of the expression 4 3/2

Answers

The last option. The top part of the fraction becomes s the exponent of the number inside the root. And the bottom part of the fraction is on top part of the root symbol. With square roots you don’t write the number 2. That’s why there is no number in the last option because that means it is square root (2)

Pls help me asap don’t put any links and pls show me how you got that answer I will give brainliest

Answers

It has infinite solutions so there is no single solution for the first part

6x - 1 = 2x + 5 + 4x - 6

Add same ( right side )

2x + 4x = 6x
5 - 6 = -1

Put that in to the equation


6x - 1 = 6x - 1

Because of this x could be anything since both sides of the equation are the same

5 kilometers in 30 minutes how many kilometers can she run in 45 minutes

Answers

8 kilometers

1 kilometer every 6 minutes

If you could please help, what is the missing answer?

Thank you to anyone who helps out!

Answers

Answer:

48

Step-by-step explanation:

let s be the snowman, g be the girl, and t be the christmas tree

2s+g=24

2t+2ts=132

3t+2g=26

subtract 2 times the first equation from the third one to get

3t-4s=-22

from the second equation we can deduce

2t(1+s)=132

t(1+s)=66

t=66/(1+s)

Substitute:

3(66)/(1+s)-4s=-22

3(66)/(1+s)=4s-22

3(66)=(4s-22)(1+s)

3(66)=-18s+4s^2-22

4s^2-18s-220=0

using the quadratic formula, we get s = 10, s = -5.5.

2(10)+g=24

g=4

2t(1+10)=132

2t=12

t=6

So 2s+t*g= 20+6*4=48

you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r

Verify whether:
p(x)= 3x+1 has x=-1/3 as a factor​

Answers

Hey there!

p(x) = 3x + 1

y = 3x + 1

y = 3(-1/3) + 1

y = -1 + 1

y = 0

Therefore, your answer SHOULD be: y = 0

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

2² + 2[2(3+1)(3-2)-1]

Answers

Answer:

18

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

−x<−29 solve for X just please commet fast im on khan right now

Answers

Answer:

x > 29

Hope you level up in khan :)

[tex]-x <-29 <=>\frac{-x}{-1} >\frac{-29}{-1} <=>x >29[/tex]

Ok done. Thank to me :>

Find the slope of the line that contains (−5,4) and (2,4).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answers

Answer:its a zero slope or you can do  x2-x1 and y2-y1 and if its an even fraction try simplifying it .

Step-by-step explanation:

The slope of the coordinates is 0.

what is slope?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

So, Slope = m = tan θ

slope = (y2 - y1)/(x2 - x1)

given coordinates:

(−5,4) and (2,4)

So, slope = (y2 - y1)/ (x2 - x1)

slope = (4- 4)/ (2 - (-5))

slope = 0 / 7

slope = 0

Hence, the slope of the coordinates is 0.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

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