Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54

Answers

Answer 1

Answer:

z = 2.25xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 3, y = 8 and z = 54 , then

54 = k × 3 × 8 = 24k ( divide both sides by 24 )

[tex]\frac{54}{24}[/tex] = k = 2.25

z = 2.25xy ← equation of variation


Related Questions

Cherie has 4 gift cards. Each gift card is worth $10. If she spends $23, how much will she have left?

Answers

Answer: She'll have $17 left.

Step-by-step explanation:

4 * 10 = 40

40 - 17 = 23

Hope this helps!

If triangle ABC is equal to triangle DFE, find the value of x, y, and z.

Answers

Answer:

x=10

z=2

y=5

Step-by-step explanation:

since they are equal, set the sides up as equal to one another and use pemdas to solve.

EX; x+15=2x+5

     -x        -x

15=x+5

-5     -5

10=x

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.

Answers

Answer:

The answer is 11.6 cm

Step-by-step explanation:

The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)

Now we must input 16 cm into c and 11 cm into either a or b.

a^2+11^2=16^2 which is equal to a^2+121=256.

subtract 121 from both sides to get a^2 by itself

a^2+(121-121)=(256-121)

a^2=135

to get "a" by itself, we must find the square root of 135.

√a^2=√135

a=11.6

There are visitors at home. Michelle made 10 and 3/5 cups of tea while Leslie made 9 and 2/5 cups of tea. How many cups of tea did the two sisters make for the visitors? *

Answers

Answer:

20 cups

Step-by-step explanation:

Michelle: 10 3/5 cups made

Leslie: 9 2/5 cups made

Steps:

First, let's turn each number into decimal form.

10 3/5 = 10.6

9 2/5 = 9.4

Then, add

9.4 + 10.6 = 20

Conclusion

They made 20 cups in all

Note:

Hope this helped :)

Have a nice day

Reply with any questions or concerns please :D

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

A rectangular plot of land is 64 ft long and 80 ft wide. On a map, the length is 2.8 in. Identify the width on the map.

Answers

Answer: 3.5"

64:80::2.8":x

[tex]\frac{64}{80}[/tex][tex]\frac{2.8}{x}[/tex]    

2.8x80=224

224/64=3.5"

Answer:

3.5

Step-by-step explanation:

that's what the other dude said

I REALLY NEED HELP ON THIS

Answers

Answer:

It's D. 53.1°

Step-by-step explanation:

1/2-1/3x=-4 solve the equation

Answers

Answer: x=-21/2

Step-by-step explanation:

1

2

1

1

3

Answer:

x=27/2

Step-by-step explanation:

1/2-1/3x=-4

subtract 1/2 from both sides

1/2+-1/3x -1/2=-4 -1/2

Group like terms

-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2

Combine the fractions

-1/3 ⋅ x+0=-4 -1/2

Convert the integer into a fraction

-1/3 ⋅ x=-8/2 -1/2

Combine.

-1/3 ⋅ x= -9/2

Isolate the x:

-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1

1x=-9/2 ⋅ 3/-1

x= -9 ⋅ -3/2

x=27/2 as your answer

a coin is tossed 4 times. what is the probability of getting heads each time

Answers

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

is this correct ? if not what’s the correct answer?

Answers

Answer:

yes

Step-by-step explanation:

Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75. How much would Marco spend on 5 bags of cat food? ​

Answers

Answer:

26.25

Step-by-step explanation:

26.25

Answer:

5 bags = $26.25.

Explanation

First, you need to find out how much $ it takes to buy ONE(1)  bag of cat food. To find out, you have to do 15.75  divided by 3 bags = $5.25.

Thats how much cash($) it takes to buy ONE(1) BAG. To buy FIVE(5) bags, you have to multiply 5.25 x 5 = $26.25.

If each bag of cat food is = $5.25 dollars each, how much dollars will he have to pay for 5 bags?

Situation

5.25 x 5 = 26.25

Function project a day of fun

Answers

i mean i dont know what you want me to help but good luck

please helppppppppppppppppppppppppppppppp

Answers

Answer:

i think the answer would be 1/6 hope this helps!

Answer:

1/12

Step-by-step explanation:

Probability = # of events / # of possible outcomes.

We want to find the probability of flipping a tails and then rolling a two.

When flipping a coin there are only two possible outcomes, getting a head or a tails.

So the probability of flipping a tails would be 1/2.

When rolling a dice there are 6 possible outcomes.

So the probability of rolling a two is 1/6

We then multiply the two probabilities to get our answer.

[tex]\frac{1}{2} =\frac{1}{6} =\frac{1*1}{2*6} =\frac{1}{12}[/tex]

The answer is 1/12

Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?

Answers

Answer:

12.76

Step-by-step explanation:

because 510.44 x 2.5%= 510.44 x 0.025= 12.76

hope this helps you guys have a great day to all of you guys

The finance charge would be the amount of $6.64 on Lauren's February statement.

What is the finance charge?

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of  $510.44, and the monthly periodic rate is 1.3%.

The finance charge =  $510.44 x 1.3%.

The finance charge  = $6.635

Round the nearest to the hundredth,

The finance charge  = $6.64

Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.

Learn more about the finance charges here:

brainly.com/question/808640

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Estimate the area please. will give brainliest.​

Answers

Answer:63

Step-by-step explanation:

Hey ya'll I need help on this question

Answers

Answer:

285.2

Step-by-step explanation:

2852.1/10 = 285.21

but rounded to the nearest tenth is 285.2

Answer:

285.2

Step-by-step explanation:

After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.

Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?

Answers

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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4x²-8xy
factorise completely

Answers

Answer:

4x (x - 2y)

Step-by-step explanation:

Pull out what factors they both have and put it outside the parentheses, put the rest inside after dividing.

The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

INTRODUCTION~Algebraic Forms and their Elements

Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.

Elements of Algebra:

1. Variables, Constants and Coefficients

Pay attention to the algebraic form 3x + 2y + 3

From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.

And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.

2. Terms and Factors

» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.

Example: 2x, 2a², -4xy, . . .

» Term two is an algebraic form that is connected by an operation of sum or difference.

Example: 2x + 3, a² - 4, 3x² - 4x, . . .

» Similar terms in algebraic form are terms that have the same variable and the same power.

Example:

2a is similar to 3a, 4a, etc.

» Factors are part of the algebraic form that is restricted to multiplication operations.

Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.

Calculation Operations on Algebraic Form

1. Addition and subtraction of algebraic forms can only be done on similar terms.

2. Multiplication and division of algebraic forms.

Multiply two terms by constants or variables.

Example:

3 (4y + 5)

= (3 × 4y) + (3 × 5)

= 12y + 15

Division of two terms with a variable or constant, for example:

(8y+4)/2 = 8y/2 + 4/2 = 4y + 2

DISCUSSION

4x² - 8xy

= 4xx - 8xy

= 4xx + 2 × 4xy

= 4x (x - 2y)

Conclusion:

So, The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

Learn More:

(mampir ke indo:v)

Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780

_____________

Answer Details:Class: 7 Middle SchoolSubject: MathMaterial: Chapter 2.1 -Operations of Algebraic FormsCategorization Code: 7.2.2.1Keywords: Factor algebra

Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Both still have the same profit. $2 for sandwiches and $3 for wraps. The only reason why there is a difference in the total amount is the change in number of sandwich or wrap sold in a given month. Therefore, next month's total sale is higher than last month's total sale making it safe to assume that the sale of sandwich or wrap is higher than last month's sale.

{hope this helps}

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Answers

Answer:

I don't know (-_-)  HAHAHAHA

Step-by-step explanation:

The graph shows that f(x)={is translated
horizontally and vertically to get the function

Answers

Answer: 3

Step-by-step explanation:

HELLLLLLLLLLLLLPPPPPPPPPP

Answers

The first option. 100% correct.

[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]

someone please help me! the question is 18.

Answers

3/5 is closer to 1/2

HELPP ME PLEASE I FORGOT HOW TO DO THIS !

Answers

Answer:

10.5 in

Step-by-step explanation:

2 triangles put together is a rectangle so you have to multiply the area by 2

31.5×2= 63

divide by 6, your width

10.5 in

9. 25 students each paid $6.50 to go to the museum. How much did they all pay together?​

Answers

Answer:

They paid 247 dollar.

Step-by-step explanation:

They paid 247 dollar

Answer:

Step-by-step explanation:

1 student paid 6.50

25 students paid x

1/25 = 6.50 / x                     Cross multiply

x = 25 * 6.50

x = 162.50  

The total for all 25 came to 162.50 dollars.

The table shows the amount of applesauce made from one apple from each size Patrice has 17 medium apples and 23 large apples was the total amount of applesauce that you can make with these apples

Answers

Hope I helped! Have a wonderful day!

solve for x -22=-7+3/5x

Answers

X-22=-7+3/5x
Answer x= 75/2
Explanation:

X-22=-7+3/5x multiply both sides of the equation my 5
5x-110= -35+3x

Move the variable to the left-hand side and change its sign
5x-110-3x= -35

Move the constant to the right-hand side and change its sign
5x-3x= -35+110

Collect like terms
2x= -35+110

Calculate the sum
2x=75

Divide both sides of the equation by 2
x=75/2

Answer x=75/2

Help help help math math

Answers

Answer:

739 x 4

2926 ft³ is your answer

Answer:

Step-by-step explanation:

radius=18/2=9 ft

[tex]V=\frac{4}{3} \pi r^3\\=\frac{4}{3} \pi (9)^3\\\approx \frac{4}{3} \times 3\times 729\\\approx 4 \times 729\\\approx 2916 ~ft^3[/tex]

8 x 1/2=4 simplified

Answers

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

check attachment for question

Answers

Answer:

[tex]\displaystyle 3x^2 + x[/tex]

Explanation:

All you are doing is combining like-terms:

[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]

I am joyous to assist you at any time.

The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students

Answers

Answer:

5 students; $90

Step-by-step explanation:

A-P-E-X

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