Suppose y varies jointly as x and z. What is y when x = 2 and z = 3, if y = 20 when x = 4 and z = 3?

Answers

Answer 1

Answer:

y = 10

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 = 20 when x = 4 and z = 3 , then

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

[tex]\frac{20}{12}[/tex] = k , that is

k = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] xz ← equation of variation

When x = 2 and z = 3 , then

y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 ×  2 = 10


Related Questions

If 5 gallons of gas cost $7.79, how much
will 7 gallons cost?

Answers

Answer:

$10.91

Step-by-step explanation:

7 gallons cost:

[tex](\frac{7.79}5}) (7)=\frac{(7.79)(7)}{5} =10.906[/tex]  

rounded to cents: 10.91

I hope this help you

the answer is $10.91 for seven gallons, if u divide 7.79 by 5 it will give you the cost per gallon then once multiplied by how many gallons you will get the correct answer.

Find the perimeter. Simplify your answer.

Answers

Step-by-step explanation:

perimeter =

2(L+B)

=2× (7z+3 +3z+5)

2×10z +8

=20z+16

answer this question

Answers

First we need to solve the inequality

[tex]\\ \sf\longmapsto 2x-8<4x+5[/tex]

[tex]\\ \sf\longmapsto -2x=13[/tex]

[tex]\\ \sf\longmapsto x=-\dfrac{13}{2}[/tex]

[tex]\\ \sf\longmapsto x=-4\dfrac{3}{4},6.5[/tex]

An animal hospital advertises a veterinarian’s starting salary as $50,000 for the first year, with increases of $1,500 each year for the next nineteen years. The total salary is represented by the series shown. (first image)

Which is equivalent to the series? Check all that apply.

Answers

Answer:

A B & D

Step-by-step explanation:

Edge 2021

Answer:

Part 1: A, B, and D

Part 2: $1,285,000

Step-by-step explanation:

Edge 2022 :)

Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.

Answers

Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.

Step-by-step explanation:

had this question

which product is greater (-4) x (-6) or (-7) x (-8) explain how

Answers

Answer:

(-7) × (-8)

Step-by-step explanation:

(-4) × (-6) = 24

(-6) × (-7) = 42

the Arizona Cardinals won 10 games out of 16 games during the 2009 regular season. At this rate, how many games do they need to play to win 50 games?

Answers

For every 10 games they won they lost 6:

50 wins/ 10 wins = 5

5 x 6 loses = 30 loses

50 wins + 30 loses = 80 total games

Answer: 80

What is hypothesis and axioms?​

Answers

Answer:

Hypothesis-  scientific prediction that can be tested or verified

Axioms- statement which is assumed to be true

Step-by-step explanation:

what is 45x32 please help me
i need help asap

Answers

Answer:

1440

Step-by-step explanation:

Answer:

1440 is the answer to 32 x 45

Math pls I need help

Answers

Answer:

24

Step-by-step explanation:

First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24

Find the perimeter. Simplify your answer.

Answers

Answer:

10u-16

Step-by-step explanation:

Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:

2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16

Answer:

10u - 16

Step-by-step explanation:

Perimeter = 5u - 10 + 5u - 10 + 2 + 2

= 10u - 16...ans

Hope it Helps you!!

Find the perimeter. Simplify your answer.

Answers

Answer:

6z-30 :D

Step-by-step explanation:

Step-by-step explanation:

The perimeter of a square is just all the sides added up together. To do this we can make an equation.

2(z-5) + 2(2z - 10)

This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.

2z - 10 + 2(2z - 10)

We then use the distributive property by multiplying 2z - 10 by 2.

2z − 10 + 4z − 20

We then combine 2z and 4z to get 6z.

6z − 10 − 20

Subtract 20 from 10 to get -30.

6z-30.

Breanna thought of a number, divided it by 5, and then added 7 to her answer. She got a final number of 11. What was her starting number?

Answers

Answer:

the answer is 20

Step-by-step explanation:

got it yw man<333333

Cindy saves 420 each month her monthly salary is 2100 what is the ratio of the amount Cindy saves to the amount she earns each month?

Answers

the ratio of 2100 salary to 420 saved is 15:3 each month

parallel perpendicular or neither

Answers

Answer:

parallel

Step-by-step explanation:

4-2/-9-0= 2/-9

6-8/4+5= -2/9

he 134 sixth grade students sit together in the auditorium. Each row has 12 seats. How many rows do the sixth graders need

Answers

Answer:

Approximately 11.1666666667 rows

Step-by-step explanation:

134/12= 11.1666666667

Answer:

  12 rows

Step-by-step explanation:

  (134 students) / (12 students/row) = 11 2/12 rows

The 6th-graders will need 12 rows of seats. The last row will not be filled.

A 0;2;4;6;8
;
B 3;4;5;6;7

Answers

Answer:

A    -4; -2; 0 ; 2 ; 4 ; 6 ; 8 ; 10

B   1; 2; 3; 4; 5; 6; 7; 8

cuantos segundos tiene una hora

Answers

Answer:

3600

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

verificando :)

500 dollars divided by 3:7

Answers

Answer:

150:350

Step-by-step explanation:

3:7 = 3+7=10

500:10=50

3x50=150

7x50=350

150:350

Hope this helps :)

500 divided by 3 is equal to 166 with a remainder of 2: 500 / 3 = 166 R.

You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100?

Answers

Answer:

It would take 20 chores.

Step-by-step explanation:

1 chore = $5

=> 1 x 20 = $100

=> 20 chores = $100

Therefore, it would require me 20 chores to save $100 and buy that Lego set.

Hoped this helped.

find the gradient and y- intercept of the line with equation 2x+3y-7=0

Answers

Answer:

Gradient = -2/3

y-intercept = 7/3

Step-by-step explanation:

Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept

2x + 3y = 7

3y = -2x + 7

y = -2/3x + 7/3

go ahed and try im confuesd

Answers

Answer:

a and c and e

Step-by-step explanation:

Answer: I believe its proportional

Step-by-step explanation:

What is the base of the expression 6^-4?

Answers

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

The width of a rectangle measures (7f-4)(7f−4) centimeters, and its length measures (2f+5)(2f+5) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

Perimeter is 18f+2

Step-by-step explanation:

Given : rectangle having width (7f-4) and length (2f+5)

To Find : Expression For Perimeter = ?

Solution : We know that, perimeter  of rectangle is 2(L+B)

-> 2(7f-4+2f+5)

-> 2(9f+1)

-> 18f + 2

I hope this helps.

Round 0.817446 to the ten-thousandths place.

Answers

Answer:

0.8174

Step-by-step explanation:

You just round up to the 4th to the right

Which product is greater than 63?

7/8 x63
3/2 x 63
4/5 x 63
2/3 x 63

Answers

Answer:

The answer is 3/2 x 63

Step-by-step explanation:

3/2*63 = 189 / 2 = 94.5

7/8*63 = 441 / 8 = 55.125

2/3*63 = 126 / 3 = 42

4/5*63 = 252 / 5 = 50.4

Therefore the answer is 3/2 x 63 because it’s product is greater than 63.

Find the length of side x to the nearest tenth.
309
X
60°

Answers

X = 1/cos(30)
X = 1.154700538
X = 1.2 (nearest tenth)

Sam has 3 more than twice the number of baseball cards that Catherine has. Together Sam and Catherine have 51 baseball cards. How many cards do Sam and Catherine each have? ​

Answers

Answer:

catherine has 16 card and sam also has 16 card

there are 6 marbles if 5 are needed, how many different alternatives are there

Answers

Answer:

30

Step-by-step explanation:

5x6=30

i’m physically begging for someone to help i do not understand

Answers

Answer:

Step-by-step explanation:

Other Questions
Evaluate. 84 A.65,536 B. 4096 C. 512 D.32PLZZZZZZ HELP and rate my rovlox fit Which solution has the same number of moles of KCl as 75.00 mL of 0.250 M solution of KCl?25.0 mL of 0.175 M solution of KCl129 mL of 0.145 M solution of KCl20.0 mL of 0.200 M solution of KCl50.0 mL of 0.125 M solution of KCl100 mL of 0.0500 M solution of KCl what should be the role of every individual in implementing peoples constitution drafted by the historic constituent assembly in a real sense???please answer this question fast guys please Explain how you determine the freezing point of a solution that does not have a well-defined transition in the cooling curve. The relationship of operant conditioning to classical conditioning is the same as the relationship of _____ responses to _____ responses. Solve the equation: 3.017 + k = 5.134 In a video game, a guppy that escapes a net turns into three goldfish. Each goldfish can turn into two betta fish. Each betta fish can turn into two angelfish. Enter and evaluate an expression for the number of angelfish that can be formed from one guppy.What is an expression?Setup _=_ please help me on this 102 > 6x + 3 ( 4- 8x ) Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1 can someone please help me!! this assignment is due at 11:59 I need this done What happens if the president is not dead but too sick to do the job? where can you find a carbon atom 4 answers:1. plants2. ?3. ?4. ? is dream over rated?... What expression is equivalent to 5(x+7) What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x 4)2 6 g(x) = (x 6)2 4 g(x) = (x 6)2 4 g(x) = (x 4)2 6. Who were the three Presidents of the 1920s? are the four components of your personal brand? Question 2 (3 points)Which impact on the environment is positive and has resulted from populationgrowth?increased use of solar panelsO clearing of more forests for farmlandfactory chemicals added to waterwaysO expanded drilling by miners Add (8y - 2x) + (-4y - 3x) A. 4y - 5xB. -4y - xC. -4y - 5xD. -32y + 6x