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

Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?​

Answers

each class will get about 37 pizzas

Java 1
Question 16
Examine the following code:

int count = 0;
while ( count <= 6 )
{
System.out.print( count + " " );
count = count + 3;
}
System.out.println( );

What does this code print on the monitor?

a. 1 2 3 4 5 6
b. 0 1 2 3 4 5 6
c. 0 3 6
d. 0 1 2 3 4 5
e. 0 3

Answers

Answer:

the answer is c.036

Step-by-step explanation:

it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well

10 + (-3 3/8) = i need the answer

Answers

Answer:6 . 625 or 6 5/8

Step-by-step explanation

10 + (-3 3/8)         (adding a negative is like subtracting a positive)

10 - 3 3/8

6 5/8

3+1-4+7=?
I need help with this

Answers

The answer is 7, 3 plus 1 equals 4 minus four equals zero plus 7= 7

Answer:

Step-by-step explanation:

first step:    3 + 1 =  4

second step:  4 - 4 = 0

third step:   0 + 7 = 7  (the answer is 7 )

Define a variable for the number of cars, and define a variable for the number of vans or trucks. You will need to choose x for one and y for the other.

Answers

Answer:

See below!

Step-by-step explanation:

I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!

You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.

For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:

miles=2x

Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.

Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.

For your question, you could use:

#of cars=x

#of trucks/vans=y

I need help on this assignment

Answers

[tex]\text{Apply Pythagorean theorem,}~ \text{Hypotenuse side}^2 = \text{Opposite}^2 + \text{Adjacent side}^2[/tex]

[tex]12^2 =y^2 +8^2\\\\\implies y^2 = 12^2 -8^2 \\\\\implies y^2 = 80\\\\\implies y =\sqrt{80} = \sqrt{16\times 5}= 4\sqrt 5~~ \text{Units}[/tex]

U need to search up the hypotenuse theory

Factorize: 2ay + 10ax - 3by - 15bx​

Answers

Answer:

(2a-3b)(y+5x)

Step-by-step explanation:

2ay + 10ax - 3by - 15bx

2a(y+5x)-3b(y+5x)

(2a-3b)(y+5x)

Answer:

(y+5x) (2a - (3b))

Step-by-step explanation:

2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)

2a (y+5x) + 3b (-y - (5x))

(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)

what's the Answer ?

[tex] \tiny\sf{6 + 6 \div 3}[/tex]

Answers

Answer: 8

Step-by-step explanation:

PEMDAS

division first

6 + 2

8

Answer:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

6/3 = 2

6+2 = 8

HAVE A NICE DAY

Jackie, Maria, and Nadia all live on the same straight road. Jackie marks the location of Maria's home and the location of Nadia's home on a number line, using her own home's location as 0.

She marks Maria's home at −10.7 and Nadia's home at 4.9.

What is the distance between Maria's home and Nadia's home on Jackie's number line?

Enter your answer as a decimal in the box.

Answers

Answer:

15.6

Step-by-step explanation:

10.7+4.9=15.6

Answer:

15.6

Step-by-step explanation: I took the test

FLOORING Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot

What is the range of the actual cost of putting the flooring in the hallway?

OA) $316.47 and $372.64

OB) $372.64 and $431.55

O C) $362.64 and $382.64

OD) $316.47 and $431.55

Answers

A I think yup it's A good luck

Step-by-step explanation:

Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot

What is the range of the actual cost of putting the flooring in the hallway?

OA) $316.47 and $372.64

OB) $372.64 and $431.55

O C) $362.64 and $382.64

OD) $316.47 and $431.55

Find the Product of (s^2+5s)(s^3+4s^2).

Answers

The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

The product is given as:

[tex](s^2+5s)(s^3+4s^2)[/tex]

Rewrite as:

[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]

Expand the expression on the right-hand side

[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]

Distribute the expressions

[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]

Evaluate like terms

[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]

Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

Read more about products at:

https://brainly.com/question/24963015

PLS help me 20 points in total

Answers

Answer:

-3.5 is the answer

I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .

Which describes 4x and -7x in this
expression?
4x - 5 - 7x
-
a constants
b. variable terms
c. like terms
d. coefficients

Answers

Answer:

B. Variable terms

Step-by-step explanation:

The 4 and -7 both have an x on them. The x is a variable.

Out of 74 students in the gym, 55 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the total number of student?

Answers

Answer:

19:74

Step-by-step explanation:

74-55=the people sitting on floor=19

19:74



Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent

Answers

Answer:

R3. alternate interior angles

( alternate interior angles are always congruent )

S4. AC = CA

R5. ASA triangle congruence property

( you have 2 angles and the included side, so you know they're congruent )

lmk if you want an actual explanation

Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.

Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.

Answers

Based on the information that's given, the account balance after the years given will be $27654.20.

The formula for simple interest is calculated as:

= PRT / 100

where,

Principal = $22825

Rate = 4.03%

Time = 5 years, 3 months = 5.25 years

Therefore, the simple interest will be:

= ($22825 × 4.03 × 5.25) / 100

= $4829.20

Therefore, the amount will be:

= $22825 + $4829.20

= $27654.20

Learn more about simple interest on:

https://brainly.com/question/25747402

Answer:

The amount will be $27654.20

Step-by-step explanation:

Plzzzz help meeeeee plzzzzzzz

Answers

the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120

Answer:

120

Step-by-step explanation:

To find the answer, multiply 300 with 0.40

To confirm this answer, divide 120 by 0.40

can i please have help with this question branliest for the correct answer

Answers

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )

m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line

3927283+8093
Help pls

Answers

Answer: 3935376

Step-by-step explanation: 3927283+8093

3935376

The answer when added correctly is 3,935,376

The world’s two highest dams are both in Tajikistan. The Rogun dam is 35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the height of the Nurek dam

Answers

Answer: Rogun dam is 335m tall and Nurek dam is 300m tall

Step-by-step explanation:

I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.

The system of equations is as follows:

[tex]r+n=635[/tex]

[tex]r-n=35[/tex]

From the second equation, we can rearange it to be:

[tex]r=35+n[/tex]

Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]

[tex](35+n)+n=635[/tex]

[tex]35+2n=635[/tex]

[tex]2n=600[/tex]

[tex]n=300[/tex]

This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:

[tex]r+300=635[/tex]

[tex]r=335[/tex]

A line has slope 56 and y–intercept −3.

Which answer is the equation of the line?




y=56x+3

y=−3x+56

y=56x−3

y=3x+56

Answers

Answer:

c

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=56

b=-3

y=56x-3

teheheh help please :)

Answers

Answer:

Solid line

Step-by-step explanation:

This means that it is equal. The line under the less than sign means it would be a solid line.


Simplify.
√44
O 4√40
O 2√11
O 2√22
o 4√11

Answers

Answer:

It is the second option

[tex]2 \sqrt{11} [/tex]

What is the distance between 10 and 17 on the number line?

Answers

Find the difference:

17 - 10 = 7

So the distance between 10 and 17 is 7 on a number line.

The difference between 10 and 17 on a number line is 7.
17 - 10 = 7
The difference is 7

The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.

The lenghts of the sides of a small cube are 1/4 ft each.

Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)​

Answers

Answer:

See below

Step-by-step explanation:

Dimensions given:

l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

Length

2 1/4 : 1/4 = 9/4 * 4 = 9

Width

1 : 1/4 = 1 *4 = 4

Height

1 1/4 : 1/4 = 5/4 * 4 = 5

Part A

Number of small cubes would be:

9*4*5 = 180

Part B

Each small cube has volume:

V = (1/4)³ = 1/64 ft³

The volume of the prism in terms of small cubes is 180 as we found above.

The volume in terms of unit cube:

V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³

AMMA
Richard owned n cows
Ellis had exactly 4 times as many cows as Richard,
Richard buys 13 extra cows.
Ellis sells 9 of his cows
Ellis still has more cows than Richard
Form an inequality, in terms of n
Solve the inequality to find the least value of n
You must show all your working

Answers

Answer:

n ≥ 8

Step-by-step explanation:

Let R and E stand for the number of cows owned by Richard and Ellis, respectively.

We are told that:

R = n

E = 4n

Then:

R = n+13   [Bought 13 cows]

and

E = 4n-9  [Sold 9 cows]

Still:

E > R  [Ellis still has more cows]

Therefore:

4n-9 > n+13

3n  > 22

n > 7 1/3

Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number.  The least value of n is therefore 8 cows or higher.  Since 8 is a valid number, change the > inequality to ≥.

n ≥ 8

pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS

Answers

Answer: where’s the question??

NEED ANSWER QUICKLY PLEASE

Answers

(3x -11) + 44 + (4x-7) = 180

3x - 11 + 44 + 4x - 7 = 180 like terms

7x +26 = 180

7x = 154

X = 22

Angle 1
3(22) -11
55
Angle 2
4(22) -7
81
So the largest angle is 81 degrees!

Hope this helps!
Brainliest is much appreciated!

One summer, an ice cream truck driver sold 381 Popsicles and 76 ice creams. How many treats did the driver sell in all?

Answers

The answer is 457 because when you add 381 and 76 together you get 457
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