y varies jointly as x and z. If y = 5 when x = 3 and z= 4, find y when x = 6 and z = 8.

Answers

Answer 1

Answer:

y = 20

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 = 5 when x = 3 and z = 4

5 = k × 3 × 4 = 12k ( divide both sides by 12 )

[tex]\frac{5}{12}[/tex] = k

y = [tex]\frac{5}{12}[/tex] xz ← equation of variation

When x = 6 and z = 8 , then

y = [tex]\frac{5}{12}[/tex] × 6 × 8 = [tex]\frac{5}{12}[/tex] × 48 = 5 × 4 = 20


Related Questions

w+(−2.8)=4.3 whats the answer

Answers

Answer:

w=7.1

Step-by-step explanation:

Answer:

w=7.1

Alternate form

w= [tex]\frac{71}{10}[/tex] ,  w= 7[tex]\frac{1}{10}[/tex]

solve pls brainliest

Answers

Answer:

c

Step-by-step explanation:

The results of a survey about favorite lunch choices are shown.
Which lunch was chosen most often? : Please help!! here’s the chart btw —>

Answers

Answer:

Grilled cheese 1/10

Step-by-step explanation:

If you divide the rest of the fractions you get decimals and since 1/10 is still 10 grilled cheese is the favour lunch

Find the common denominator for all three of them and find the largest one. You do the rest yourself

If 40 hours is a full work week and any thing over 40 is overtime or time and a half. If u worked 50 hours one week, and 55 hours the second week how much would ur pay check be

Assuming u make 15 dollars a hour for normal pay?

Answers

Answer:

first week would be $750 second week would be $825

If your pay is every two weeks it would be $1575

Step-by-step explanation:

What is the measurement of this angle?

Answers

The measurement of all angles is 180, so just subtract the other two angles from 180

180 - 59 - 67 = 54 degrees

Answer:

54°

Step-by-step explanation:

All the angle measures of a triangle must add up to equal 180°. So,

59°+67°+x°=180°

x=54°

About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering​ students, how many will probably need a refresher mathematics​ course?

I need a answer asap

Answers

i think it’s 485 sorry if i’m wrong

what is the weight of a square if a triangle weighs 4 grams ​

Answers

Answer:

8 grams

Step-by-step explanation:

Given the formula for area of a triangle versus a square:

Square = bh

Triangle = 1/2bh

A triangle has half of the area of a square, therefore it should weigh half as much. Multiply the weight by 2.

4 * 2 = 8

hoy guys bilangin nyo to pag mali sagot nyo report ko!!

Answers

Answer:

there is 114 in there

(ig?)

PLEASE HELP!!

Rewrite the equation to represent the resistance of resistor 2, R2, in terms of RT and R1; see image below :

Answers

Rewriting the equation, it is found that the resistance [tex]R_2[/tex] is given by:

[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]

The equation given for [tex]R_T[/tex] as function of [tex]R_1[/tex] and [tex]R_2[/tex] is:

[tex]R_T = \frac{R_1R_2}{R_1+R_2}[/tex]

Applying cross multiplication:

[tex]R_TR_1 + R_TR_2 = R_1R_2[/tex]

[tex]R_1R_2 - R_TR_2 = R_TR_1[/tex]

[tex]R_2(R_1 - R_T) = R_TR_1[/tex]

[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]

A similar problem is given at https://brainly.com/question/24272167

BRAINLIEST
I’ve posted this over 5 times please help me

Answers

Answer:

I don't know just guess sorry

find the length of segment AB

Answers

Answer:

35

hope this helps you!!

The product of 6 and the sum of a number and 3 is 60

Answers

Answer:

8(x+3) is the answer

Step-by-step explanation:

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The product of 6 and the sum of a number and 3 is 60.

Let the number be 'x'. Then the equation is written as,

6(x + 3) = 60

Simplify the equation, then the value of the variable 'x' will be calculated as,

6(x + 3) = 60

x + 3 = 60 / 6

x + 3 = 10

x = 10 - 3

x = 3

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

2x - 3y = -24 solve for y
x + 6y = 18 solve for x when y= 2
I need the answer

Answers

01.

2x-3y=-24

-3y=-2x-24

3y=2x+24

y=(2x+24)/3

02.

x+(6*2)=18

x=18-12

x=6

Answer: y =  2/ 3 x+8, and x = 6

Step-by-step explanation: 2x−3y+−2x=−24+−2x                                                   −3y /−3  =  −2x−24 /−3                                                                                                     y =  2/ 3 x+8                                                                                                                           x+(6)(2) = 18                                                                                                                          x+12+(-12) = 18+-12                                                                                                                x = 6

       

11. In right triangle CAT, angle. If CA = 6 and CT = 8, find AT.

Answers

Answer:

AT=5.29 or 2√7

Step-by-step explanation:

Pythagorean  theory

a²+b²=c²

CAT means ∡ A is 90°

so CA is one of the leg (a) and AT the other leg (b)

CT is the (c)

6²+b²=8²

b²=64-36

b=√28

=5.29

Monica deposits ​$300 into a savings account that pays a simple interest rate of ​3.9%. Paul deposits ​400$ into a savings account that pays a simple interest rate of ​3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

Answers

Answer:

For Monica : Principle = $300 rate : 3.4% time 1 yr

Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2

For Paul : Principle = $400 rate : 2.8% time 1 yr

Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2

Step-by-step explanation:

79 percent of 67 miles is what

Answers

Answer:

52.93

Step-by-step explanation:

use the distributive property:
(x-5)(-2)

Answers

Answer:

10-2x

Step-by-step explanation:

(x-5) (-2)= x(-2) -5(2) = -2x - 10 = 10-2x.

Answer:

-2x+10

Step-by-step explanation:

(x-5)(-2)

(x×-2) (-5×-2)

= -2+10

Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?

Answers

you’re answer is 5x-10=y i think.

Please help me marking brainless

Answers

Answer:

9/12 & 5/12

Step-by-step explanation:

You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12

Please answer quick!

Answers

Answer:

that must be bad, bro I need help to

Answer:

A, B and D are equations

please help..
Evaluate
10 % of 9900

Answers

Answer:

990

Step-by-step explanation:

9900 * 10/100

= 990

Hello there!

First, divide by 100:

99

Now, multiply by 10:

990 is the answer.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Dan was thinking of a number. Dan doubles it and adds 0.8 to get an answer of 58.9. Form an equation with
x
from the information.

Answers

Answer:

2x + .8 = 58.9

His number, x, is 29.05

Step-by-step explanation:

2x + .8 = 58.9

2x = 58.1

x = 29.05

PLS HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

a2 + 4a + 16

Step-by-step explanation:

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value

BRAINLIEST?

I need help with this question;(

Answers

Answer:

J

Step-by-step explanation:

Find the nth term for 17,12,7,2

Answers

Answer:

22-5n

Step-by-step explanation:

What is the answer to this

Answers

what is the answer is 34 lekende eza

Answer:

Yes

Step-by-step explanation:

This is a function because  every value in set A has only 1 value in set B.

Write using a fractional exponent.

Answers

Answer:

a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator

therefore the denominator will be three and numerator will be one

x²×⅓= x⅔

Do all direct proportional graphs need to start from the origin?

Answers

Answer:

Direct proportional graphs do not need to start from the origin.

Step-by-step explanation:

Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.

Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).  

As a proof, the attached screenshot shows the graph of three equations of direct variations.  The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.

The area of a square is 36 cm² what is the length of each side of the square

Answers

Answer:

6 cm

Step-by-step explanation:

take the sqaure root of 36 and get 6

Answer:

6 cm

Step-by-step explanation:

Formula for Area of A Square Is: [tex]A = s^2[/tex]

s - given side

We would need to take the square root of 36 to get the side length.

[tex]36 = s^2\\\\\sqrt{36} = \sqrt{s^2}\\\\\boxed{6 = s}[/tex]

Each side length should be 6 cm.

given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
PLEASE HELP

Answers

Answer:

k=5

Step-by-step explanation:

The graph of g(x) is raised by 5 units so k is 5

Other Questions
In a right triangle, the measures of the legs are 8 and x + 6,and the measure of the hypotenuse is x + 8. Find the value of x. what are the 4 macromolecules found in a cell that you can get from food? At what holiday celebration do people perform a show in the costume of a long dragonA. Forbidden City festivalB. Dragon king celebrationC. Dragon boat festivalD. Spring festivalplease I need help Work out the mean for the data set below:3.4, 5.2, 4.7, 3.5, 0.5Give your answer as a decimal. 2. Which is the best summary of the selection?A.B.Leaves are something to be thankful for because they produce carbohydrates.Leaves conduct photosynthesis, which converts energy from the Sun into chemical energythat is useful and important to humans.Photosynthesis is a vital part of the food chain.Radiant energy is the most important part of photosynthesis. It is energy from the Sun,which leaves are thankful for.C.D. What did Texas struggle with after achieving its independence?A. Not enough landB. Labor storageC. Too much landD. Debtno links please. :) A yellow solid, W is soluble in water. Which method of separation can be used to obtain the solid W from an aqueous solution? A Neutralisation B Chromatography Distillation D Crystallisation show your work3|n-4| = 18 Erikah has just arrived at the funeral. A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers. x + y 200 4x + 3y 750 x + y 750 4x + 3y 200 x + y 200 3x + 4y 750 x + y 750 3x + 4y 200 I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation. Question 7 of 15Which speaker is offering an opinion, rather than a fact about a historicalevent?Speaker A: Spanish military forces overthrew both the Aztec and Inca empiresin the 16th centurySpeaker B: The arrival of Europeans in North America beginning in the 15thcentury caused smallpox to spread rapidly among American Indiancomrhunities.Speaker C: The English treated American Indians much more fairly than anyother European colonial power did in the 17th century.Speaker D: Many Europeans traveled to the Americas in the 16th centuryhoping to persuade American Indians to become Christians.O A. Speaker BB. Speaker AO C. Speaker CD. Speaker D What do Denmark, NorwayFinland, Sweden and Switzerland have in common? whats the formula for lithium nitride Can someone draw me a picture of 2 horses doing a little dance while a freddy faz bear feeds them? Describe what the Indians thought Nirvana was. (Dont include references to the rock band) All types of exercise are appropriate at any age.Please select the best answer from the choices provided. F why do you think the fall of the Berlin Wall important to the end of the overall Cold War HELP WHAT IS 22 + 5/8 x -1/2I will give brainliest! A __________ refers to a communication structure in which team members freely communicate with one another and arrive at decisions together. a. decentralized network b. centralized network c. circular network d. linear network e. gossip structure