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

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

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.

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

find the length of segment AB

Answers

Answer:

35

hope this helps you!!

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

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°

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

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.

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?

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

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

Answers

Answer:

I don't know just guess sorry

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]

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:

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

       

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

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

Answers

Answer:

there is 114 in there

(ig?)

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

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]

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:

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!!

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

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

I need help with this question;(

Answers

Answer:

J

Step-by-step explanation:

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

Please answer quick!

Answers

Answer:

that must be bad, bro I need help to

Answer:

A, B and D are equations

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

Answers

Answer:

22-5n

Step-by-step explanation:

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.

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

79 percent of 67 miles is what

Answers

Answer:

52.93

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

c

Step-by-step explanation:

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