-4y-11x= 36
20=-10x-10y
Solve each system by elimination

The response we have is as follows to the query that was asked equation "Y varies directly as x and inversely as the square of z" can be translated as y = kx

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=).

If y varies directly as x and y = 24 when x = 6, we can use the formula for direct variation:

y = kx

where k is the variation constant. To find k, we can substitute the given values:

24 = k(6)

k = 4

So the equation of variation is y = 4x.

If x varies directly as y and x = 35 when y = 7, we can again use the formula for direct variation:

x = ky

To find k, we can substitute the given values:

35 = k(7)

k = 5

So the equation of variation is x = 5y. To find the value of y when x = 25, we can substitute x = 25 into the equation and solve for y:

25 = 5y

y = 5

If y varies inversely as x and y = 6 when x = 18, we can use the formula for inverse variation:

y = k/x

To find k, we can substitute the given values:

6 = k/18

k = 108

So the equation of variation is y = 108/x.

If y varies inversely as x and y = 10 when x = 2, we can again use the formula for inverse variation:

y = k/x

To find k, we can substitute the given values:

10 = k/2

k = 20

So the equation of variation is y = 20/x. To find y when x = 10, we can substitute x = 10 into the equation and solve for y:

y = 20/10

y = 2

If a varies jointly as b and c, and a = 36 when b = 3 and c = 4, we can use the formula for joint variation:

a = kbc

To find k, we can substitute the given values:

36 = k(3)(4)

k = 3

So the equation of variation is a = 3bc.

If z varies jointly as x and y, and z = 16 when x = 4 and y = 6, we can use the formula for joint variation:

z = kxy

To find k, we can substitute the given values:

16 = k(4)(6)

k = 2/3

So the equation of variation is z = (2/3)xy.

If z varies jointly as x and y and z = 60 when x = 5 and y = 6, we can use the formula for joint variation:

z = kxy

To find k, we can substitute the given values:

60 = k(5)(6)

k = 2

So the equation of variation is z = 2xy.

To find z when x = 7 and y = 6, we can substitute the given values into the equation we found in problem 7:

z = 2(7)(6)

z = 84

"y varies directly as x" can be translated as y = kx

"z varies inversely as the square of w" can be translated as z = k/w^2

"a varies jointly as b and c" can be translated as a = kbc

"Y varies directly as x and inversely as the square of z" can be translated as y = kx

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the correct question is -

1. If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.

2. If x varies directly s y and x = 35 when y = 7, what is the value of y when x = 25?

3. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.

4. If y varies inversely as x and y = 10 when x = 2, find y when x = 10.

5. Find the equation of variation where a varies jointly as b and c, and a = 36 when b = 3 and c = 4.

6. z varies jointly as x and y. If z = 16 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Solve for the value of constant of variation k.

7. z varies jointly as x and y and z = 60 when x = 5 and y = 6.

8. Find z when x = 7 and y = 6

9. Translate into mathematical equations using k as the constant of variation.

10. Y varies directly as x and inversely as the square of z.

11. If z varies directly as x and inversely as y, and z = 9 when x = 6 and y = 2, find z when x = 8 and y = 12.

Answer:

Volume or amount to f water in a jug

The size of a plot of land.

Step-by-step explanation:

The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).

The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.

Answer:

not perpendicular

Step-by-step explanation:

perpendicular line has opposite reciprocal slope

√3x-2√3 y=13

-2√3y=13-√3x

y=-13/(2√3)+√3 x/2√3

y=1/2 x-13/2√3  ( slope is 1/2)

6x-3y+11=0

-3y=-11-6x

y=-11/-3+6x/3

y=2x+11/3 slope =2

Answer:

Option D is correct.

A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.

Step-by-step explanation:

When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

Hope this Helps!!!

The degrees of freedom (df) for the within-groups scenario is 27.

In the F-test, which is used to compare variances between groups, the degrees of freedom consist of two components: the numerator df and the denominator df. The numerator df corresponds to the number of groups being compared, while the denominator df represents the total number of observations minus the number of groups.

In the given scenario, F(2,27) = 8.80 indicates that the F-test is comparing variances between two groups. The numerator df is 2, representing the number of groups being compared.

To determine the within-groups df, we need to calculate the denominator df. The denominator df is calculated as the total number of observations minus the number of groups. Since the denominator df is given as 27, it implies that the total number of observations is 27 + 2 = 29, considering the two groups being compared.

Therefore, the within-groups df is 27, as it represents the total number of observations minus the number of groups in the F-test.

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The fund balance at the end of 2019 will be $8,000.

The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.

Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.

Using the FVA of $1 table; Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $9,559

Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.

Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:

Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251

The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.

Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.

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Answer:

\( \boxed{3 :2 :4:1}\)

x = -8

3x = 3 · (-8) = -24

.......

Answer:

x=32

Step-by-step explanation:

Multiply both sides by 4.

(x/4)*(4) = (8)*(4)

Answer:

13n+33+2m

Step-by-step explanation:

=8n+5n+5+12+4+12+6m-4m

=13n+33+2m

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

A midpoint is simply a point that divides a segment into two equal halves.

Given the data in the question;

Given that K is the midpoint on segment JL, this means segment JK is divided into two equal halves, Segment JK is equal to Segment KL.

Segment JK = Segment KL

8x + 11 = 14x - 1

Collect like terms

8x - 14x = -1 - 11

-6x = -12

x = -12/-6

x = 2

Hence, the numerical values of Segment JK and Segment KL will be;

Segment JK = 8x + 11 = 8(2) + 11 = 16 + 11 = 27

Segment KL = 14x - 1 = 14(2) - 1 = 28 - 1 = 27

Since Segment JK and Segment KL makes up segment JL, the numerical  value of Segment JL is the sum of Segment JK and Segment KL.

Segment JL = 27 + 27 = 54

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

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According to the provided statement, a group of 6 will be charged a gratuity of $28.2 on a $141 transaction.

Restaurants traditionally have formed social relationships and satiated a biological that need connection in addition to serving food and beverages. Restaurants play a bigger role in defining the American economy as a whole as well as the character and constitution of our cities in the 21st century.

As stated; If a group consists of six or more persons, a restaurant will automatically add 20% gratuity.

The percentage, 20%, is expressed in decimal form on the party's bill of $141.

20/100\ = 0.20

To a party, gratuity is added: 0.20 x 141 = $28.2

Consequently, $28.2 is included as the gratuity.

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Answer:

20-p

Step-by-step explanation:

this is ur expression for how much change she will get back

Answer:

20-p

Step-by-step explanation:

cause she has 20 dollars and buys p notebooks so her total 20 dollars and -p note books

If they are parallel it would be 105

If its right please give brainliest

Cost function for both the conditions are as follows :

f(x) = 3.10 + 0.06747x is x ≤ 1100 .

f(x) = 77.317 + 0.05788(x - 1100) for  x > 1100

Here,

When x ≤ 1100 (customers using upto 1100KwHr )

Fixed charges = $ 3.10

Variable cost = 6. 747 cents/kwh

Total cost for x Kwh  ,

f(x) = 3.10 + 0.06747x is x ≤ 1100 .

Customers using more than 100 Kwh

Fixed charges = 77.317

Variable cost = 5.788 cents/Kwh

Total cost for x Kwh

f(x) = 77.317 + 0.05788(x - 1100) for  x > 1100

Thus the cost function is :

f(x) = 3.10 + 0.06747x is x ≤ 1100 .

f(x) = 77.317 + 0.05788(x - 1100) for  x > 1100

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Add 5 x 3 + 7

5 x 3 + 7
15 + 7
22

Answer:

Alternatively, you may use addition to solve

Step-by-step explanation:

5+5 = 10 and 5+7 = 12, and we know that 10+10 = 20

Just add the number 2 from the number 12 to 20, and you have the same answer

Answer:

a) y = 2x + 12. b) y = -1/2 x  -1/2.

Step-by-step explanation:

a) parallel to will have same gradient, ie gradient of 2.

y - y1 = m(x - x1)

y1 is y-coordinate of point, x1 is x-coordinate of point, m is gradient.

y - 2 = 2(x - -5) = 2 (x + 5) = 2x + 10

y = 2x +10 + 2

y = 2x + 12

b) gradient of perpendicular = -1/m = -1/2.

y - 2 = -1/2 (x - -5) = -1/2 (x + 5) = -1/2 x - 5/2

y = -1/2x  -5/2 + 2

y = -1/2 x  -1/2

Answer:

$124407.36

Step-by-step explanation:

Simple interest formula: I = P x R x T / 100

22 x 12 months = 264 months (=22 years)

7854 x 6 x 264 / 100 = $124,407.36

The y-intercept represents a. the maximum weight allowed in a shipment.

Given: The graph is between the Amount of allowed weight remaining Vs the Number of boxes included.

What is a graph?

A graph is a diagram or the representation of variations between two or more variables with respect to each other.

A graph consists of dependent and independent variables. We usually plot the response of the dependent variable with the change in the value of the independent variable.

What is y-intercept?

The y-intercept is the point on the y-axis that a given equation of line or a curve passes through when the value of x = 0. It can denote either the minimum value for a function is the function is increasing the the initial point is the y intercept or the maximum value for a decreasing function if the y-intercept is the initial point.

Let's solve the question:

It is given in the question that the graph is of  Amount of allowed weight remaining Vs the Number of boxes.

As it is "Amount of weight remaining", so we can interpret that it is a decreasing curve with the increase in the number of boxes or in simple words the value of y will keep decreasing with the increasing number of x value.

Therefore, for this graph the y-intercept will show the maximum weight remaining or as it is the y-intercept that is x = 0, which means when there are no boxes the maximum weight remaining is y-intercept. So it the maximum weight allowed in the shipment.

Hence the answer is a. the maximum weight allowed in a shipment.

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Disclaimer: The given question is incomplete. The complete question is mentioned below:

One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?

a. the maximum weight allowed in a shipment.

b. the minimum weight of a single box of screws.

c. the minimum number of screws in a single box.

d. the maximum number of single boxes for a shipment.

Answer:

b

Step-by-step explanation:

3-1/3=2.6 and that estimates to 3.0

There 5 5 dollars in the amount given by the teller to Neka

What is the  total value of a single denomination?

The total value of a single denomination is the number of that denomination received by Neka multiplied by the value of each denomination

In other words, the total value of 50-dollar is $50 multiplied by 2 since there 2 50- dollar bills, the same applies all other bills.

Total amount=($50*2)+($20*6)+($5*f)

total amount=$245

$245=($50*2)+($20*6)+($5*f)

$245=$100+$120+($5*f)

$245=$220+($5*f)

$245-$220=$5*f

$25=$5*f

f=$25/$5

f=5

In essence, there are 5 5 dollar bills

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Based on the attached graph, the point that is located at (5,-2) is point F

The graph that completes the question is added as an attachment

The point located at (5,-2) implies that the coordinates of the point are

x-coordinate = 5

y-coordinate = -2

From the attached graph, we can see that the point F has the following properties

x-coordinate = 5

y-coordinate = -2

This means that the point F is located at (5,-2)

Hence, the point that is located at (5,-2) is point F

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Answer:

x = 7 and x = -1/3

Step-by-step explanation:

To solve the quadratic equation 3x^2 - 20x - 7 = 0, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -20, and c = -7. Substituting into the quadratic formula, we get:

x = (-(-20) ± sqrt((-20)^2 - 4(3)(-7))) / 2(3)

Simplifying the expression inside the square root:

x = (20 ± sqrt(400 + 84)) / 6

x = (20 ± sqrt(484)) / 6

x = (20 ± 22) / 6

So, we have two solutions:

x = (20 + 22) / 6 = 7

x = (20 - 22) / 6 = -1/3

Therefore, the solutions to the quadratic equation 3x^2 - 20x - 7 = 0 are x = 7 and x = -1/3.

Answer:

She bought 3 large frames and 8 small frames.

Step-by-step explanation:

X= Large frames = $19

Y= Small frames  = $ 9

Total Frames Cost = $129

Total Frames = 11

Then, costs formula:

1) 19X + 9Y = 129

2) X + Y = 11

So here you have a equation system and we will solve it by substituion method:

2) Y = 11-X

replace Y in 1)

1) 19X + 9(11-X) = 129

19X +99 -9X = 129

10X = 129-99

10X = 30

X = 30/10

X = 3

Then

Y = 11-3

Y = 8

Answer:

a is the correct answer mh

Step-by-step explanation:

Step one:

given data

we are told that the expression is

v = 4.8m + 8.2

where  v is the volume of gas and

            m is the number of minutes it has been filling.

Step two:

Required

Asumming the volume is in Liters

the interpretation of the terms in the expression for the volume

4.8 means that  for every minute 4.8L of gas enters the gas tank

hence the rate of filling is 4.8L/min

8.2 means that there is 8.2L of gas already in the tank before the filling started.

we know that

The surface area of a square pyramid is given by the formula

where

B is the area of the square base

LA is the lateral area (area of the four triangular faces)

step 1

Find out the area of the square base B

step 2

Find out the area of one triangular face

the area of one triangular face is given by the formula

where

b=96 m

h=?

Applying the Pythagorean Theorem, find out the value of h

where

H=220 m (height of the building)

b/2=96/2=48 m

substitute

substitute

Multiply by 4 to obtain the Lateral Area

The surface area of the building is equal to

step 3

we know that

one gallon of cleaning solution -----> for every 250 square meters of surface

Applying proportion

1/250=x/52,450.56

solve for x

x=52,450.56/250

x=210 gallons

see the figure below to better understand the calculation to obtain the value of

h (the height of each triangular face)

\(\cfrac{22\pi }{3}\implies \cfrac{(3)(7)\pi +\pi }{3}\implies 7\pi +\cfrac{\pi }{3}\implies 6\pi +\pi +\cfrac{\pi }{3}\)

so the angle is really 3 revolutions plus another π plus a little bit more.  Check the picture below.

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.