Suppose y varies jointly as x and z. If y=15 when x=1/2 and z=6, what is the constant of variation?

Answers

Answer 1

Answer:

y= 15

Step-by-step explanation:

Y= Kxz

y=6  x=1/2   z=6

15= K (1/2) (6)

15= K (3)

K= 5

SO

y= (5) (1/2) (6)

Y= 15

Answer 2

Answer:

k = 5

Step-by-step explanation:

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

y = kxz ← k is the constant of variation

To find k use the condition y = 15 when x = [tex]\frac{1}{2}[/tex] and z = 6 , then

15 = k × [tex]\frac{1}{2}[/tex] × 6 = 3k ( divide both sides by 3 )

5 = k


Related Questions

Write the number below in scientific notation.
450,000,000
O A. 4.5 x 107
B. 4.5 x 108
O C. 4.5 x 10‐⁷
D. 4.5 x 10​⁹

Answers

Answer:

B: 4.5 * 10^8

Step-by-step explanation:

I did the test and got it right

what is 2.58 divided by 3

Answers

0.86 is your answer

Answer:

0.86

Step-by-step explanation:

Kadeem keeps track of the number of people inside a music hall to attend a concert
by looking at the number of scanned tickets. He plotted the data on the graph below,
where 2 = O represents the time at 6 p.m., then drew a line of best fit. If we extended
the line, what would the value of y tell us when x = 3?

Answers

Answer:

A prediction of how many people will be in the music hall at 9 o'clock.

Step-by-step explanation:

Can someone plz help me with this one problem plzzzzz I’m marking brainliest!!!

Also when you pick the graph just say 1st or 2nd graph!!!

Answers

Answer:

1st

Step-by-step explanation: i think

I think it’s the first graph and you would put 6,7,8,9 for the box

Fill in the blanks with a number that will make the equation true. The number you pick for the blank must be the same in each blank of that problem. 3 + (______) = 5 + (_______)

Answers

Answer:

Just messing with you but:

3 + ∞ = 5 + ∞

which functions can generate all the values in table 2​

Answers

Answer:

animania-1.12.2-1.6.2.jar

find the degree of the polynomial 2x^6+x^3+5

Answers

Answer: The degree is 6

Answer:

6

Step-by-step explanation:

Highest power of the variable is the degree of the polynomial

2x⁶ + x³ + 5

Degree = 6

2x + 4y = 22
What is the answer?

Answers

Answer:

Step-by-step explanation:

y=-\frac{1}{2}x+\frac{11}{2}

Answer:

See Picture

Step-by-step explanation:

Can you mark me Brainliest for this?

What is the explicit formula for the sequence 18, 9, 9/2, 9/4, 9/8

Answers

an = 18(1/2)^(n-1)

Alternatively, you could also do:

an = 36(1/2)^n

Michael has 105 credits at an arcade. He wants to purchase a drink and play his favorite video game with his credits. If the drink cost 63 credits and his favorite game charges 3.5 credits each time. how many times can Michael play his favorite video game

Answers

He can play his game 12 times
Explanation: 105-63=42
42 divided by 3.5=12

at silver gym membership is $30 per month and personal training sessions are $35 each. at fit factor, membership is $50 per month, and personal training sessions are 25 each. in one month how may training sessions would sarah have to buy to make the two gyms equal​

Answers

Answer:

Step-by-step explanation:

if you see a person that sends you a sketchy link dont click it is an ip grabber.

Answer: 2 training sessions

How:
With the info given, you create the equation...
35x + 30 = 25x + 50

The first thing you would do is subtract 25x from both sides since it’s the lesser value, giving you...
10x + 30 = 50

After that, you want to isolate the 10x by subtracting 30 on both sides, giving you...
10x = 20

The last thing you would do is divide both sides by 10 in order to completely isolate the value, giving you your final answer of...
x = 2

In other words, this means it would take 2 training sessions for both the gyms to reach equal value in a month.

Yall plzz helpp I dont want to fail math "what is the longest walking stick that can be placed in the bottom of a truck of length 80 cm and width 60cm"

Answers

Given:

Length of the truck = 80 cm

Width of the truck = 60 cm

To find:

The longest walking stick that can be placed in the bottom of a truck.

Solution:

The longest walking stick that can be placed in the bottom of a truck is the diagonal of the truck.

We know that, the diagonal of a rectangle is:

[tex]d=\sqrt{l^2+w^2}[/tex]

Where, l is the length and w is the width.

Putting [tex]l=80[/tex] and [tex]w=60[/tex], we get

[tex]d=\sqrt{(80)^2+(60)^2}[/tex]

[tex]d=\sqrt{6400+3600}[/tex]

[tex]d=\sqrt{10000}[/tex]

[tex]d=100[/tex]

Therefore, the length of the longest walking stick that can be placed in the bottom of a truck is 100 cm.

Please help!!! I would rlly appreciate it!

Answers

The answer is number 6

Answer:

A, B, C are correct

Step-by-step explanation:

D)  sin P = 12/13

E)  tan R = 5/12

PLZZ HELP IN THIS :((

Answers

Answer:

4 i think i did this yesterday

Step-by-step explanation:

solve for a using the pythagorean theorem SOMEONE HELP PLZZZ

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{(5)^{2}-(3)^{2} }=4[/tex]

Solve the inequality

Answers

Answer:

[tex]x \leq 0\\or\\1 \leq x \leq \frac{3}{2}[/tex]

Step-by-step explanation:

[tex]2x^3-5x^2+3x \leq 0\\\Rightarrow x.(2x^2-5x+3) \leq 0\\\Rightarrow x.(2x^2-2x-3x+3) \leq 0\\\Rightarrow x.[2x(x-1)-3(x-1)] \leq 0\\\Rightarrow x(x-1)(2x-3) \leq 0\\Therefore\\ x \leq 0\\or\\1 \leq x \leq \frac{3}{2}[/tex]

ABCD is a square.
Need help ASAP.

Answers

The answer is is 45 (the second choice)

The distance traveled by Earth in one orbit around
the Sun is about 580,000,000 miles. Earth makes
one complete orbit around the Sun in one year. Of
the following, which is closest to the average speed of
Earth, in miles per hour, as it orbits the Sun?

Answers

Answer:

Step-by-step explanation:

v=d/t

v=(580000000mi/y)(y/365d)(d/24h)=66210 mph (rounded to nearest mph)

Which of the following add carbon dioxide to the atmosphere

Answers

Answer:

Carbon dioxide is added to the atmosphere naturally when organisms respire or decompose (decay), carbonate rocks are weathered, forest fires occur, and volcanoes erupt. Carbon dioxide is also added to the atmosphere through human activities, such as the burning of fossil fuels and forests and the production of cement.

Step-by-step explanation:

Answer:

Step-by-step explanation: The first one on the left

Points are (0, 11) and (2' 1100)

Answers

Answer:

whats the question

Step-by-step explanation:

The approximate areas of two states are listed below.

Texas: 2.69×10^5 square miles
Rhode Island: 1.21×10^3 square miles
Determine the difference, in square miles, between the area of Texas and the area of Rhode Island. Write your answer in scientific notation.

Answer: _________________ square miles

Answers

Answer:

2.6779*10^5

Step-by-step explanation:

2.69 * 10^5 - 1.21 * 10^3

This is 2.6779*10^5 :)

The difference between the areas of Texas and the area of Rhode Island is given by equation A = 2.6779 x 10⁵ miles²

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the area of Texas be p = 2.69 x 10⁵ miles²

Let the area of Rhode Island be q = 1.21 x 10³ miles

Now , the difference of areas A = p - q

On simplifying the equation , we get

The difference between the area of Texas and the area of Rhode Island A = 2.69 x 10⁵ miles² - 1.21 x 10³ miles

A = 2.69 x 10⁵ miles² - 1.21 x 10³ miles

A = 10³ ( 2.69 x 100 - 1.21 )

On further simplification , we get

A = 10³ ( 269 - 1.21 )

A = 267.79 x 10³

A = 2.6779 x 10⁵ miles²

Hence , the difference in areas is 2.6779 x 10⁵ miles²

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

HELP ASAP I GIVE BRAINLIEST

Answers

Answer:

The correct answer is C. 1,601,000

On a map of Florida, the legend reads 1 inch = 25 miles. If The distance between Tallahassee and Jacksonville is approximately 160 miles, in inches, between the two cities?

A. 6 4/25 inches
B. 6 1/4 inches
C. 6 2/5 inches
D. 6 1/2 inches

Answers

Answer:

1 inch = 25 miles

x inches = 160 miles

1/25 = x/160

160=25x

x=6 2/5 inches

C is correct.

Let me know if this helps!

The answer would be 1in =25 miles

please help. Which scale factors produce an expansion under a dilation of the original image?

Select each correct answer.


0.3

0.75

2

3

Answers

Answer:

It's 2 and 3

Step-by-step explanation:

Hope this helps

O valor de x e y, na figura a seguir é, respectivamente:

A) 35° e 155°
B) 45° e 55°
C) 35° e 45°
D) 55° e 145°

Answers

Answer:

B) 45° e 55°

Step-by-step explanation:

gracias

What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?
2 x- y. 8 = 0
X-2 y. 8 = 0
2 x - y - 8 = 0

Answers

Hard to tell the answer choices so here’s what I get. See if if either of these are an answer choice.

2x + y - 8 = 0

Or

-2x - y + 8 = 0

The equation of a line in general form with a slope of - 2 and y-intercept of 8 is -2x- y + 8 = 0

Equation of a line in general form

The equation of a line in slope intercept form can be represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore,

y = -2x + 8

The general form equation of a line is as follows:

Ax + By + C = 0

where

A, B and C are constant

Hence,

-2x- y + 8 = 0

learn more on equation on a line here:  https://brainly.com/question/2535631

#SPJ2

Please answer this ill give brainliest to the best

A student worked out the following problem: Solve: 8x + 10 – 6x + 4 = 24 Step 1: 2x + 14 = 24 Step 2: 2x = 38 Step 3: x = 19

A) There is an error in step 1
B) There is an error in step 2
C) There is an error in step 3
D) There is no error

Answers

Answer

b

Step-by-step explanation:

Answer:

B) There is an error in step 2.

Step-by-step explanation:

When solving 8x+10-6x+4=24, you have to first combine your like terms. These are 8x and -6x (giving you 2x) and 10 and 4 (giving you 14).

After combing your like terms, you now have the equation 2x+14=24.

You need to get x alone and the first step to do that is to subtract 14 from both sides of the equation. This cancels out 14 from the side with x on it and leaves you with 10 on the other side. Your equation is now 2x=10

This is where the student made the mistake. Instead of subtracting 14, they added 14.

The final step would be to divide by 2 on both sides.

At the end of the problem, you are left with x=5.

please help with graph (will mark brainliest!!)

Answers

Answer:

The answer is in the screenshot.

Step-by-step explanation:

What are two numbers that add to 45 and multiply to 500

Answers

Answer:

It would be the numbers 20 and 25.

Solve the equation below.
2.3.= p + 0.6

Answers

Answer:

p = 1.7

Step-by-step explanation:

Other Questions
How did political machines gain and maintain power? Is Figure B a scale copy of Figure A?~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~A: YesB: No In order for a cell to function efficiently, it must have: *Small surface area, small volumeSmall surface area, large volumeLarge surface area, small volumeLarge surface area large volume Which factors contributed to the start of World War I? Select three options.expansion of countries empiresavoidance of international relationsinfluence of military leaderspride and confidence in ones countrycost of consumer products around the worldwill give brainlyist sorry that it is not spelled right 8 less than a number Write - 1.5y = 4.5x - 9 in standard form . Why does Anne feel a sense of responsibility towards Peter? Jane is applying for an entry-level position as a support specialist at an IT firm. She is creating a rsum and needs to add her current skills.Which of the following is most relevant to the job?A. ComputerB. CreativityC. MathD. Sensitivity what is 3/4 years converted into months. Plsssss help) Which word is a synonym of green?inexperiencedseasonedflimsySubmit How fast must Larry travel to go 678 mi. in 12 hrs? Sa iyong sariling pananaw, bagamat napakabata pa para sa kaniyang edad, wasto ba ang hakbang na isinagawa ni Jonalyn para sa kaniyang mga kapwa katutubo?please dont give a link economic importance of lizard in agriculture Solve for x and y Pls help its timed HELP ME PLEASE I NEED THE ANDEER NOW Find the following rates. Round your answer to the nearest hundredth. a. ? % of 75 = 5 b. ? % of 28 = 140 c. ? % of 100 = 40 d. ? % of 200 = 15 20.34 divided by 18.5 Which of the following explains the role of Pi (1) in finding the circumference of a circle?Pi is the ratio of the radius of a circle to the diameter of a circle.BPi is the ratio of the radius of a circle to the circumference of a circle.Pi is the ratio of the diameter of a circle to the circumference of a circle.DPi is the ratio of the circumference of a circle to the area of a circle. 4w2 + 3w - 15w - 2Area Someone answer and explain ILL MARK BRAINLIEST!!!!!!!!!!!!!