When a company runs all 50 of its machines, it takes 72 hours to finish a job. If the company only runs 30 of its machines, it takes 120 hours to finish the same job. An equation for the inverse variation between the number of machines, x, the company runs and the time, y, in hours, it takes to finish the job is y=k/x . What is the value of K?

Answers

Answer 1

Answer: 3600

Step-by-step explanation: If y = k/x is the formula, solving for k gives xy = k, so 72(50) = 3600; or 30(120) = 3600.


Related Questions

y -1/4 x = -1
y - 2 = 4x
A no solution
B infinite solutions
C one solution

Answers

c it’s one solution

Answer:

x=-4/5, y=-6/5. (-4/5, -6/5).

Step-by-step explanation:

y-1/4x=-1

y-2=4x

--------------

y=4x+2

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

4x-1/4x=-1-2

16/4x-1/4x=-3

15/4x=-3

x=-3/(15/4)

x=(-3/1)(4/15)

x=-12/15=-4/5

y-2=4(-4/5)

y-2=-16/5

y=-16/5+2

y=-16/5+10/5

y=-6/5

Can 7 cm 8 cm 11 cm form a triangle?

Answers

No, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side for a triangle to be formed.

In order to determine whether 7 cm, 8 cm, and 11 cm can form a triangle, we must first consider the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side in order for a triangle to be formed. Therefore, in order for 7 cm, 8 cm, and 11 cm to form a triangle, the sum of any two sides must be greater than 11 cm. Since

7 cm + 8 cm = 15 cm,

which is less than 11 cm, 7 cm, 8 cm, and 11 cm cannot form a triangle.

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Which of the following statements is true?

Computers depend on your input.
Computers understand emotions.
AI is very expensive and is used only by businesses.
Modern computers use more energy than humans.

Answers

Answer:

I think it's clear that it's A. Computers depend of you input

I have a tape diagram it is, there is 1 bus for every 32 students on a field trip. there are 96 students on a field trip how many buses are needed?

Answers

Answer: 3

Step-by-step explanation:

32 x 3 = 96

what is the exact length of third side

Answers

Answer:

Step-by-step explanation:

The sum of the squares of the shorter sides is equal to the square of hypotenuse!

solve the compound inequality n+2≤−5 and n+6≥−6

Answers

Answer:

-12<=n<=-7

Step-by-step explanation:

40
24
Solve for x.
60
X
x = [?]
Enter the number that belongs in the green box.

Answers

On solving the provided question we can say that the value of x is in parallel line is  equal to 36.

Example of a parallel line.

Real-world examples of parallel lines include railroad tracks, sidewalk margins, street markings, zebra crossings, the surfaces of pineapple and strawberries, stairs, railings, etc. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.

All three line are parallel to each other. so, that ratio of 40/24 is equal to 60/x.

40/24 GO/x

x = (60 24)/40

x=36

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How do you multiply integers in 7th grade?

Answers

To begin, determine the absolute value of each integer. After that, multiply or compute the product of the absolute numbers. Finally, identify the final answer's sign. According to the rule, if the signs of the two numbers vary, the final result will be negative.

What is integer?

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule. A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of whole numbers and their inverses is known as the integers. The set of integers does not include fractions or decimals.

Here,

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule.

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Convert this equation into standard form

Answers

The equation into standard form is x = 4

How to convert the equation into standard form

From the question, we have the following parameters that can be used in our computation:

0 = x - 4

A linear equation in standard form is represented as

Ax + By = C

So, we have

0 = x - 4

Rewrite as

x - 4 = 0

Add 4 to all sides

x = 4

hence, the equation is x = 4

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Is A ={ x x 2 )= 4 and 3x 9 an empty set justify your answer?

Answers

The value of 'x' is not same in both cases, so this is a empty set.

How to calculate A={x x 2}=4  and 3*9 an empty set?

step1

Because here square of element of set should be 4 then element should be 2 or -2 but when 2 or -2 multiplied by 3 gives 6 or - 6 which is not equal to 9. So, no element exists which can satisfy both conditions.

A={x x 2}=4 and 3x=9 is not empty set because there is no element we can say that is an empty set but there is an element, so it is not an empty set.

step2

X^2=4

Therefore only 2's square is 4

In first equation X=2

But in second equation

3x=9

Therefore here X=3

One variable has only one value

Therefore it is an empty set

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Use the Distributive Property to expand 6(-4x + 3y)

Answers

Answer: -24x+18y

Step-by-step explanation:

6(-4x+3y)

=6*(-4x)+6*(3y)

=-24x+18y

Answer:

6(-4x + 3y)

Step-by-step explanation:

-24x + 18y

6(-4x + 3y)

y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.

y = 16 when x = 27. Find the value of y when
x = 18.

y = 3.2 when x = 30. Find the value of x when
y = 8.

Answers

The equation of variation is xy = 96. The value of y when x = 18 is 16/3 and the value of x when y = 8 is 12.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

y inversely varies as x.

That means, y ∝ 1/x.

So, y = kx, where k constant of variation.

Then, x × y = k

When y = 16, x = 6.

k = 6 × 16 = 96

So, the equation of variation is xy = 96.

When x = 18,

18y = 96

⇒ y = 96/18

⇒ y = 16/3

When y = 3.2,

3.2(30) = 96

When y = 8

8x = 96

⇒ x = 12

Therefore, the values are  y = 16/3 and  x = 12.

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Joseph has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $42.05? Round to the nearest cent.

Answers

The total cost of good will equals to $33.64 after considering the 20% discount he had at the pharmacy.

What is a loyalty card?

A loyalty card is an identity card issued by a retailer to its customers as a form of consumer incentive scheme in which credits are accumulated for future discounts with each transaction.

Now, we will have to calculate the total cost of all the items he wants to buy after considering the 20% discount.

First, we will calculate the discounted amount:

= 20% * $42.05

= $8.41

Second, we will calculate the new amount of cost:

= $42.05 - $8.41

= $33.64

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Someone please help me !

Answers

Answer:

x² + 6² = 17²

6² + x² = 17²

Step-by-step explanation:

Pythagoras Theorem defines the equation of opposite² + adjacent² = hypotenuse². To make it simple, it's basically base² + height² = slope². Therefore:

[tex] \displaystyle{ {x}^{2} + {6}^{2} = {17}^{2} }[/tex]

Or you can also form as

[tex] \displaystyle{ {6}^{2} + {x}^{2} = {17}^{2} }[/tex]

Therefore, there are two correct answers here.

Leo designs a banner for class elections. His banner has 3 congruent circles glued on a rectangular length of butcher paper. The circles touch the edges of the paper and do not overlap. VOTE FOR LEO! If the butcher paper is 24 inches long, what is the area of one circle? Use 3 for pi

Im having issues with this question does anyone know this question STEP BY STEP ​

Answers

The area of one circle is 48 in² if the butcher paper is 24 inches long.

What is area?

The area of a two-dimensional figure is the total area it takes up. It is the quantity, in other words, that counts the number of unit squares that cover the surface of a closed figure.

Square units—commonly expressed as square inches, square feet, etc.—are the accepted unit of area.

Given that:

3 congruent circles are perfectly fitted in the rectangular banner of length 24 inches,

⇒ diameter of each circle =  length of rectangular banner/3

⇒ d =  24/3

⇒ d =  8

⇒ r =  8/2

⇒ r =  4

Area of circle, A = π r²

A = 3× 4 × 4        (used pi as 3 as instructed in the question)

A = 48 in²

Thus, the area of one circle is 48 in² if the butcher paper is 24 inches long.

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Kaj signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost per month is given by
the equation c = 1.5x + 6.99, where X represents the number of songs she
downloads and c represents the total cost, in dollars and cents. What could the
number 1.5 represent in the equation?

Answers

In the equation for total cost c = 1.5x + 6.99, 1.5 represents the cost of per song downloaded.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation for total cost per month is c = 1.5x + 6.99.

Where x represents the number of songs Kaj downloads and c represents the total cost, in dollars and cents.

So, c and x are variable components of the equation.

There are only two fixed components in the equation 1.5 and 6.99.

Since number of songs downloaded x is multiplied by 1.5, so 1.5 is the cost of per song downloaded.

Hence, 6.99 becomes the fixed monthly membership cost of the music service.

Therefore, 1.5 is cost of per song downloaded.

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Best Buy is selling a 62" TV for $1,250. The TV is on sale for 15% off and there is a 6% sales tax. What is the final cost of the TV? Please help me I don't know how to do it

Answers

Answer:

final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56

Step-by-step explanation:

final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56

The final cost of the TV would be $1,063.50.

To calculate this:

First, calculate the discount by multiplying the original price of the TV ($1,250) by 15% (0.15). This equals $187.50.

Subtract the discount from the original price of the TV ($1,250 - $187.50 = $1,062.50)

Next, calculate the sales tax by multiplying the price after the discount ($1,062.50) by 6% (0.06). This equals $63.75

Finally, add the sales tax to the price after the discount ($1,062.50 + $63.75 = $1,063.50)

A ratio of 4 to 5 may be written as all of the following except:
4:5
4/5
8/10
5/4
16/20

Answers

Answer:

5/4

Step-by-step explanation:

A ratio can be written with a colon or as a fraction. Fractions can also be simplified further into the desired ratio.

4 to 5 can be written as 4:5.4 to 5 can also be written as 4/5 or [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{8}{10}[/tex] because when 8 and 10 are divided by 2 you get [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{16}{20}[/tex] because when 16 and 20 are divided by 4 you get [tex]\frac{4}{5}[/tex].4 to 5 cannot be written as 5/4 because [tex]\frac{5}{4} or 5:4[/tex] is 5 to 4 NOT 4 to 5. Additionally, the complex fractions above cannot be simplified into 5/4.

Please let me know if this helped!!!

If two lines are perpendicular, how many right angles are formed? Why?

Answers

Answer:

Hence we can see that, when two lines are perpendicular to each other, they form 4 right angles (90 degrees).

It would be four right angles because they all intersect with each other.

To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2023 is 20232023. Is there a positive integer whose echo is a perfect square? if so, how many such positive integers can you find? if not, explain why not.

Answers

To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

A perfect square is what echo number?

If the square root of an echo number is a natural number, the echo number has a perfect square. We discovered that echo number 202320232023202320232023  is a perfect square after a few iterations:

√202320232023202320232023 = 449800213454.

The perfect square of the integer 449800213454.1 is the echo number 202320232023202320232023.

Therefore,To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

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A rectangle playground has a width of 540 feet and

Answers

i think you’ve missed off most of the question

Tell whether the pairing is a function.

Answers

The relationship in this problem is a function, as each input is mapped to a single output.

When does a relation represents a function?

A relation represents a function when each input value is mapped to a single output value.

From the table, we have that:

The input 1 is mapped to the output 20.The input 2 is mapped to the output 21.The input 3 is mapped to the output 21.The input 4 is mapped to the output 22.

Each input is mapped to a single output, hence the table represents a function.

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Find the value of X………….

Answers

The bases of a trapezium are parallel to each other.

The line x is parallel in this trapezium.

Hence,

Given two sides

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)

I think you should provide extra information for correct answer.

that the angles etc.

Are triangles ABC and XYZ similar?

Answers

Therefore ,as a result, ABC is equivalent with XYZ, which is the answer to the triangle problem that was presented.

Tell us about the triangle.

Given its three sides and three vertices, a triangular is a polygon. This geometric shape is fundamental. Triangle ABC is a triangle that has the points A, B, and C as its corners. In geometric shapes, when four pieces are not collinear, a single plane and triangle are obtained. Polygons include triangles since they have three sides and a top right corner.

Here.

Therefore,

∠ A = ∠X because ABC is identical with XYZ.

∠B and ∠Y have the same meaning.

∠Z equals ∠C, and

Line ab has the same value as xy.

Line bc and yz are interchangeable.

Line ac corresponds to xz.

Cpct was employed to find a solution.

Triangle segments that are congruent are matched.

As a result, ABC is symmetrical with XYZ is the answer to the presented triangle problem.

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Complete question is: Are triangles ABC and XYZ similar?

HELP! Does the system shown always, sometimes, or never have a solution when a = b? a ≥ b? a ≤ b?

Answers

Answer: ok ok... If this is like pick one ima go for A. = b

Step-by-step explanation: i hope this helps<3

On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass

Answers

Answer:

50%

Step-by-step explanation:

Divide the number of glass beads by the total number of beads:

75 glass beads / 150 total beads =

75 glass beads / 150 beads =

75/150 =

1/2 =

0.5 =

0.5 * 100% =  ==> 100% = 1

50%

Mason spent $50 on school supplies. after buying 12 erasers for $17.88, he had $32.12 left over. How much did each eraser cost? Please help I need my grades up!

Answers

Answer:

$1.49

Step-by-step explanation:

17.88/12 = 1.49

Answer:

each eraser cost $1.49

Step-by-step explanation:

take how much it cost 17.88

divide by how much you have 12

get how much one unit or 1 of what you have

17.88/12=1.49

Help quick!
The figure is not drawn to scale.

Answers

Answer:

<f = 132°

Step-by-step explanation:

360 - 56 - 106 = f + g

f = 2g

198 = 3g

g = 66

f = 2g

f = 2(66)

f = 132

What value is equivalent to (8+2)2 + (6 − 4) × 3?
A.106
B.110
C.6
D.94
E.18

Answers

Answer:

A. 106

Step-by-step explanation:

Use the correct order of operations.

(8 + 2)² + (6 − 4) × 3 =

= 10² + 2 × 3

= 100 + 6

= 106

Does standard form have to be between 1 and 10?

Answers

No, standard form does not have to be between 1 and 10. Standard form refers to a way of writing a number in which the number is expressed as a decimal between 1 and 10, multiplied by a power of 10.

THE STANDARD FORM

Standard form, also known as scientific notation, is a way of writing a number that is a product of a decimal between 1 and 10, and a power of 10. The decimal part is called the coefficient, and the power of 10 is called the exponent.

For example, 12,000 can be written in standard form as 1.2 x 10⁴. Here, the coefficient is 1.2 (a decimal between 1 and 10) and the exponent is 4, indicating that the number is being multiplied by 10 raised to the power of 4 (10,000).

It is important to note that standard form is not limited to positive numbers and decimals between 1 and 10. A negative number or decimal less than 1 can also be written in standard form, but it would be multiplied by a power of 10 that is less than 1.

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