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

9 is multiplied by the cube of a number.

Answers

Answer:

81

Step-by-step explanation:

9×9=81

also known as 9²

A number b subtracted from seven is greater than eight. What is the sentence as an inequality?

Answers

Answer:

7 - b > 8

Step-by-step explanation:

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

https://brainly.com/question/11989726 click the link change your country to Philippines you will the answer there
The answer should be 27.295

942 flowers in157 vases= flowers per vase

Answers

Answer : 942/157 = 6

If you divide them it’s

6 flowers per vase

y=2x-7
y=3x
can someone help solve for x and y

Answers

Put 3x in for y, so the equation will be 3x=2x-7. Then solve. once you find “x”, plug it back into one of the original equations. And then you have x and y

Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.

Answers

Answer:

and wht is the question?

Kk but how far did she go Bc that would be the way to get to the question

Solve for x with 10x+10 and 17x+8

Answers

Answer:

here is the answer

Step-by-step explanation:

I don’t understand please help

Answers

Answer:

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base  

( 5 )  of the left side  ( 25 )  equals the exponent  ( 2 ) .   log 5 ( 25 ) = 2

Use the definition of a logarithm,  

log b ( x ) = y  ⟹  b y = x , to convert from the logarithmic form to the exponential form.

32  4/ 5 = 16

PLS help me pls no links 15 points in total

Answers

Answer:

A and B are correct

Step-by-step explanation:

A)

Regular price=$24.30

Markdown=15%

Markdown Price=$24.30 * 15%

Markdown price=$3.645

Sale Price=$24.30-$3.645

Sale Price=$20.66

B)

Regular price=$66.50

Markdown=15%

Markdown price=$66.50 * 15%

Markdown price=$9.975

Sale Price=$66.50-$9.975

Sale Price=$56.53

If you need to ask any question, please let me know.

(3x-6)/(x^2+2) what is the answer

Answers

If you are asking to simplify the answer is

What is the mean absolute deviation of the data set? {12, 4, 30, 16, 18} 2. 8 5 2006. 4 16.

Answers

Answer:

12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13

write a funny statement

Answers

Answer:

haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Type the missing digit below
6,387,_36 is divisible by 8.

Answers

The missing digit is: any odd number from 1-10. Only odd so: 1,3,5,7,9 would work! Hope this helps!! :)

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 54.5°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )

I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?

Answers

Answer:

0.4

Step-by-step explanation:

it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4

Can y’all figure this out while I help my fam hang up a chrismus tree :)

Answers

it’s C. Parsimony means extreme unwillingness to spend money or use resources.

An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

10 feet long and 5 feet wide. What is its area?

Answers

Answer:

50 square feet

Step-by-step explanation:

Length x width

Answer:

50

Step-by-step explanation:

10 times 5 = 50

Solve:
(a+b+c) (a+b-c)

Answers

Answer:

a²+2ab+b²-c²

Step-by-step explanation:

Solve:

(a+b+c) (a+b-c)=

(a²+ab-ac+ab+b²-bc+ac+bc-c²)=

a²+ab-ac+ab+b²-bc+ac+bc-c²=

a²+2ab+0ac+b²+0bc-c²=

a²+2ab+b²-c²

Answer:

The answer is a² + 2ab + b² - c²

Step-by-step explanation:

(a + b + c) × (a + b - c)

a² + ab - ac + ba + b² - bc + ca + cb - c²

a² + ab + ba - ac + ca + b² - bc + cb - c²

a² + 2ab + b² - c²

Thus, The answer is a² + 2ab + b² - c²

-TheUnknownScientist 72

in a certain game, a fair die is rolled and a player gains 20 points if the die shows a 6. if the die does not show a 6, the player loses 3 points. if the die were to be rolled 100 times, what would be the expected total gain or loss for the player?

Answers

The expected gain or loss is an illustration of mean and expected values.

The expected total gain is 83 points

The given parameters are:

Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6

The probability of rolling a 6 in a fair die is 1/6.

The probability of not rolling a 6 in a fair die is 5/6.

So, the expected gain in each game is:

[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]

[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]

Take LCM

[tex]\mathbf{E(x) = \frac{5}6}[/tex]

[tex]\mathbf{E(x) = 0.83}[/tex]

The number of games is 100.

So, the expected gain is:

[tex]\mathbf{Gain = 100 \times 0.83}[/tex]

[tex]\mathbf{Gain = 83}[/tex]

Hence, the expected total gain is 83 points

Read more about expected value at:

https://brainly.com/question/13499496

Soooo I’m kinda confuzzled, I have trouble simplifying decimals..does anyone mind giving a helping hand??

Answers

Answer:

65 miles per gallon.

Step-by-step explanation:

Scale it down. [tex]78:1.2 = x:1.0[/tex] or, solving for x, [tex]x= \frac{78\cdot 1.0}{1.2} = 65[/tex] miles per gallon.


2. Ms.A buys 7 boxes of snacks. Each box has 12 packets of fruit snacks and 18 packets of cashews.
How many snack packets does she buy altogether?

Answers

Answer:  210

Explanation:

Each box has 12 packets of fruit snacks and 18 packets of cashews. That gives 12+18 = 30 packets overall per box. Since we have 7 boxes, that tells us the total count is 7*30 = 210

210
7 times 12 equals 84
7 times 18 equals 126
126 Plus 85 equals 210

angle x and angle y are complementary angles. angle x is eight times larger than angle y. what are the measurements of angle x and angle y?

Answers

Answer:

x=80

y=10

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

1.8333

Step-by-step explanation:

find the mode of the following set data

3, 10, 36, 26, 19, 2, 2, 40

Answers

Answer:

2

Step-by-step explanation:

it is the only number that occurs more than once

What is the sum of the first 12 terms in the series shown below?

1.5 - 4.5 + 13.5 - 10.5 +

Answers

0 i believe is the answer

Write a linear equation that describes the problem.

Answers

What problem. You didn't attach anything or put it in the question.

41 divided by 533 estimate it and its long division and I have to find the R

Answers

Answer:

12 R20

Step-by-step explanation:

changed 41 to 40 and 533 to 500. work is in file above.

Jayden’s rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area, in square feet, of the garden

Answers

Answer:

The area is 25.875 square feet. Or it can be written as [tex]25\frac{7}{8}[/tex]

Step-by-step explanation:

You would simply multiply them by each other. 5 3/4 is aso 5.75. And 4 1/2 is also 4.5. So simply multiply 5.75 by 4.5

5.75*4.5 to get 25.875

Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?

600 students

300 students

450 students

800 students

which one?

Answers

Answer:

600

Step-by-step explanation:

Take the number that answered lavender and divide by total # of students surveyed

49/75 = .653333 or 65.3%

then take the total # of students and multiply by .6533333

908x .6533333 = 593.22

so the closest estimate is 600

-- Gage Millar, Algebra 1/2 tutor

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