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

Maria scar' gets 28 miles to the gallon. How many miles is her round trip to work

Answers

Yk que han dicho nada de la que ha dicho la gente no se han dado la cara

What is a_50 of the arithmetic sequence 45, 40, 35, 30.

Answers

Answer:

5s

Step-by-step explanation:

45-5=40

Which of the following ordered pairs
make this equation true?
y =
= 10x - 30
A. (1, -12)
B. (8, 1)
C. (4, 10)
D. (6, 20)

Answers

The ordered pairs  that make this equation true is (4, 10)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the linear equation: y = 10x - 30:

At (1, -12): y = 10(1) - 30 = -20 ≠ -12

At (8, 1): y = 10(8) - 30 = 50 ≠ 1

At (4, 10): y = 10(4) - 30 = 10

At (6, 20): y = 10(6) - 30 = 30 ≠ 20

The ordered pairs  that make this equation true is (4, 10)

Find out more at: https://brainly.com/question/13911928

-8 + x - 2 - 5x
Plssss

Answers

Answer:

-4x-10

Step-by-step explanation:

This is the answer if you are simplifying the expression.

Answer:

−  4    −  8

Step-by-step explanation:

Jessica is a custodian at Oracle Arena. She waxes 20 square meters of the floor in 3/5 of an hour. She waxes the floor at a constant rate.

At this rate, how many square meters can she wax per hour?

Answers

divide 20 by 3 to see how much she would wax in 1/5 of an hour.
20/3= 6.66666667
6.66666667 * 5 =
33.3333333
i think :)

PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3

1- how much time will it take for elena to pay back all the money she borrowed

Answers

Answer:

Well according to the graph it took Elena 6 weeks to pay her brother back

Step-by-step explanation:

Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.

3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks

help me please i’ll give you a brain list thingy thank youu

Answers

Answer:

Are the triangles similar?

1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate

2) SAS Postulate

3) congruent by ASA Postulate

4) SSS Postulate

5) congruent by AAS Postulate

6) SAS Postulate

Isosceles and Equilateral Triangles

1)  by isosceles something triangle theorem

if two angles of opposite sides are congruent the sides opposite of those are congruent.

4x-12=20

x=8

2) Triangle Sum Theorem - all angles add up to 180.

with Isosceles triangle theorem.

x= 70 degrees

y= 40 degrees

3)  2x-14 = x+17 ( I think )

x=34

4) The picture is cut out.

Step-by-step explanation:

factorize the expression below pls help giving brainliest

Answers

Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

[tex]2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)[/tex]

[tex]8a^2b^3 - 4ab^4 = XaY^3(z - b)[/tex]

[tex]4ab^3(2a-b) = XaY^3(z - b)[/tex]

X = 4

y = b

z = 2a

Could you please help me
Thank you x

Answers

Answer:

25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145

you are welcome

regards

reedemk

Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.​

Answers

Solving the inequality, it is found that the correct interpretation of the solution is:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

The amount x of miles they can still travel is modeled by the following inequality:

[tex]221 + x \leq 304[/tex]

To solve it, we treat it similarly to an equality, hence:

[tex]x \leq 304 - 221[/tex]

[tex]x \leq 83[/tex]

Hence:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

A similar problem is given at https://brainly.com/question/11713066

The answer prior to this is WRONG. The correct answer is "at most 83" miles.

Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen Chocolate Breezes. The bakery must make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of Chocolate Blizzards requires 5 ounces of flour while each dozen of Mint Breezes requires 9 ounces of flour. The bakery only has 315 ounces of flour available. If a dozen Chocolate Blizzards generates $2.92 in income, and a dozen Mint Breezes generates $2.11 in income, how many dozen of each dessert should Kelly make to maximize profit? Show all work. I just need the equations I would need to get this answer.

Answers

Yeah Thanks I love to see that and the answer A

Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?

243/15
11
-15/243
33​

Answers

From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.

The average rate of change of a function p(x) over an interval [a,b] is given by:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].

The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].

Hence:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

[tex]A = \frac{204 - 39}{20 - 5}[/tex]

[tex]A = 11[/tex]

The average daily change in the share price from d = 5 to d = 20 is of 11.

A similar problem is given at https://brainly.com/question/20732437

Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?

Answers

Mr. Smith needs to buy 56 sweets for the whole class to have two pieces of the sweets.

(3 questions for 40 points)

7. Given XPS = DNF, find the values of x and y

8. Given MTW = BGK, find the values of x and y

9. Given PRS = CFH, find the values of x, y, and z

Answers

7. X= 54/17 Y= 57/4
8. X= 12 Y= 35/11
9. X=23 Y= 7 Z= 11

what’s the system for 5x+21y=103 and -5x+23y=29

Answers

y=3 and x=10 (you can get y by adding the 2 equations and then you can get x by substituting the value of y)

……………………………..

BRAINLIEST
Solve for X. Round to the nearest tenth.

Answers

Answer:

12

Step-by-step explanation:

there is no x in the question

A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?

Answers

13.01 ounces are left

Which set of ordered pairs (x,y)(x,y) could represent a linear function?

Answers

The answer is B!

Tell me if you want me to explain!

Hope this helped!! :)

A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?

Answers

Answer:

Step-50*t + 30*m = 1500,   (1)   (pounds)

4*t +  3*m = 138.    (2)   (cubic feet)

From (2), express 3m = 138 - 4t, and substitute it into (1). You will get

50t + 10*(138-4t) = 1500,  or

10t = 1500 - 1380  --->  10t = 1120  --->  t = 112 TVs.

From this point, find the number of microwaves on your own.

step by-step explanation:

What is an equation of the line that passes through the points (0, 0) and (- 4, - 5) ?​

Answers

Answer:

y=5/4x  

Step-by-step explanation:

(A fraction)

what is the answer??????​

Answers

Answer:

1) B. 1 1/32

2) A. 1.8

Solution:

2 3/4 as an improper fraction is 11/4.

2 2/3 as an improper fraction is 8/3.

11/4 ÷ 8/3

11/4 ÷ 3/8 (reciprocal method)

11/4 × 3/8 (change the operation to multiplication)

11/4 × 3/8 = 33/32 (multiply)

33/32 ⇒ 1 1/32 (simplify)

1 4/5 as an improper fraction is 9/5.

9/5 ⇒ 1.8

To show that triangle RPQ=triangle PSR by SSS, what must be the value of x?

Answers

If RQ and SP are congruent, then 2x+3=4x-7.
3=2x-7
10=2x
x=5

im literally on my last braincell please help omg

an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term

Answers

Answer:

its going up by 5 every time

Step-by-step explanation:i think that would help i dont know if it was obvious

Juana buys a computer for $785.00. Her local sales tax is 6.85%. How much does Juana pay for the computer, including tax?

Answers

Answer:

838.7725

Step-by-step explanation:

Sheila predicted that the Doja cat concert would have 310 people attend. Only 220 attended. Find the percent Error Show your work

Answers

Answer: 29%

Step-by-step explanation: 220 out of 310 attended. This mean the error percentage is 90/310. Dividing 90 by 310, we get the answer of around 29%.

Would appreciate brainly <3

Do not round your answer. Type in just the number. 0.48 is what percent of 1.6

Answers

Answer:

30 percent

Step-by-step explanation:

That is not rounded. Just straight, plain, 30 percent.

2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.

Answers

Answer:

length=10inches

width=18inches

Step-by-step explanation:

length=x

width=x+8

perimeter=2l+2b

56=2x+2(x+8)

56=2x+2x+16

56-16=4x

4x=40

x=40/4

x=10

what does the slope of jessicas function represent?
tyia

Answers

Answer:

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

Step-by-step explanation:

So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.

What is the value of x?


A hexagon (6 sides)

133°
112°

120°
128°
100°


please help asap, no links

Answers

Answer:

X is 120° I hope this helps you

What is the sum for:
(2x−6)+4(x−3)

Answers

Answer:

6x - 18

Step-by-step explanation:

2x - 6 + 4x - 12 = 6x - 18

First, distribute the 4 and then combine the like terms to get 6x - 18.

Answer:

x=-2

Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.

(2x-6)+4(x-3)

(2x-6)+4x-12

Then we combine like terms.

(2x-6)+4x-12

6x-6-12

6x-18

Finally we divide both sides by 6.

6x-18

6x/6-18/6

x=-2

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