A new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.

35.5 + 136.45w = 455.95; w = 9
35.5w + 136.45 = 455.95; w = 9
35.5w − 136.45 = 455.95; w = 17
35.5w − 455.95 = 136.45; w = 17

Answer:

(- 2, - 4 )

Step-by-step explanation:

- 4x + 4y = - 8 → (1)

4x - 6y = 16 → (2)

adding (1) and (2) term by term will eliminate x

0 - 2y = 8

- 2y = 8 ( divide both sides by - 2 )

y = - 4

substitute y = - 4 into either of the 2 equations and solve for x

substituting into (2)

4x - 6(- 4) = 16

4x + 24 = 16 ( subtract 24 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

solution is (- 2, - 4 )

All the points that will lie on the median through the point (7,4) are given as follows:

The median that passes through the point (7,4) is a linear function that also passes through the midpoint of the vertices (1,4) and (7,-2).

The midpoint of two points is given by the mean of it's coordinates, hence the midpoint of the vertices (1,4) and (7,-2) is calculated as follows:

Then the two points on the line are given as follows:

(4,1) and (7,4).

Given two points, the slope is calculated as the division of the change in y by the change in x, hence:

m = (4 - 1)/(7 - 4)

m = 1.

Hence:

y = x + b

When x = 4, y = 1, hence the intercept b is obtained as follows:

1 = 4 + b

b = -3.

Then the function is given as follows:

y = x - 3.

And the points that lie on the median are all the points for which the x-coordinate is 3 less than the y-coordinate.

The complete problem is given by the image shown at the end of the answer.

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Hello,

I hope you and your family are doing well!

To simplify the expression, you can combine like terms and simplify:

[tex](2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)[/tex]

[tex]= 2x^2+x+1 - x^2+x-7 - 4x^2-2x-8[/tex]

[tex]= (2x^2 - x^2 - 4x^2) + (x - x - 2x) + (1 - 7 - 8)[/tex]

[tex]= -3x^2 - 3x - 14[/tex]

Therefore, the simplified expression is [tex]-3x^2 - 3x - 14[/tex]

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Happy Holidays!

Answer:

Step-by-step explanation:

Oh I don't really know but I will find it out for you right now

Answer:

B second one

Step-by-step explanation:

2000-750/5=250

The axis of symmetry of equation y = 3x² - 18x + 5 is x = 3.

The object's shape becomes symmetrical when a straight line acts as the axis of symmetry. Each side of the axis of symmetry produces a perfect reflection of the other. It can be lateral, vertical, or any combination of the three.

Given equation:

y = 3x² - 18x + 5

The line symmetry of y =  [tex]ax^2+bx+c = 0[/tex]  is x = -b / 2a,

Hence, x = -(-18) / 2 × 3

Therefore, x = 3 is the axis of symmetry of equation y = 3x² - 18x + 5.

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Answer:

Adult:19

Child:18

Step-by-step explanation:

Adults: x

Children:y

Equation 1: 3x+4y=129

Equation: 2x+3y=92

Let's now graph our equations on the desmos graphing calculator!!!

Look for the points that meet each other on the graph which is (19,18)

So $19 for an adult and $18 for children

Answer:

B Not a Function. They are Coordinates

Answer:

$5.50

Step-by-step explanation:

Add 3.00 plus 2.50.Which is 5.50.

Just solve it? (Doing the same thing you did on my question.)

The value of that maximize the profit, und determine the corresponding price and total profit for the level of production is $52,500

Given,

Suppose that the demand equation for a monopolist is p=100−.02x and the cost function is C(x)=20x+10,000. Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production.

Here we need to find the value of that maximize the profit.

As per the Monopolist maximizes profit by setting marginal costs (MC) equal to marginal revenue (MR).

Here the Marginal revenue is the first partial derivative of Total revenue (TR) function.

And the total revenue is the quantity (X) times price (P):

TR = P⋅X

=> (100−0.01X) X

=> 100X−0.02X

Then we get get marginal cost, take the partial derivative of the cost function with respect to x:

=> MC=∂c(X)/∂X:50

=> MR=MC/100−0.02X=50/100−50

=> 0.02X

=> 2500units

Then the price of X, plug in the value of x in the inverse demand function and solve for price:

=> P=100−0.01(2500)=$75

And the profit is the difference between Total revenue and Total costs:

=> ∏=TR−TC/TR = P⋅X

=> $75 × 2500 = $187,500

Finally, the total costs, plug in the value of x in the total cost function:

=> TC = 50(2500)+10,000

=> $135,000

=> ∏ = $187,500−$135,000

=> $52,500

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The difference between the amounts Julia and Kellen will raise when they both read x pages is represented by the function j(x) - k(x) =  0.75x + 8.03. And if they both read 500 pages, the difference will be 383.03.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given, Julia and Kellen are participating in a read-a-thon to raise money for charity.

The money each of them raises will be a mix of fixed and per-page donations.

Function / models the total amount, in dollars, that Julia will raise if she reads x pages:

j(x) = 1.65x + 17.31.

Function k models the total amount,

in dollars, that Kellen will raise if he reads x pages:

k(x) = 0.90x + 9.28.

To find the difference between the amounts Julia and Kellen will raise when they both read x pages:

j(x) - k(x) =  1.65x + 17.31 - (0.90x + 9.28).

j(x) - k(x) =  1.65x + 17.31 - 0.90x - 9.28.

j(x) - k(x) =  0.75x + 8.03.

If they both read 500 pages, the difference will be;

j(500) - k(500) =  0.75(500) + 8.03 = 375 + 8.03 = 383.03

Therefore, if they both read 500 pages, the difference will be 383.03.

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The complete question is:

Select the correct answer from each drop-down menu.

Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page

donations.

Function / models the total amount, in dollars, that Julia will raise if she reads x pages:

j(x) = 1.65x + 17.31.

Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:

k(x) = 0.90x+9.28.

The function

If they both re

h(x)=0.75x+26.59

h(x) = 0.75x+8.03

h(x) = 2.55x+8.03

h(x) = 2.55x+26.59

represents the difference between the amounts Julia and Kellen will raise when they both read x pages.

ence will be $

Reset

Next

It should be noticed that the seat assigned to Jean as per the given data is 108 .

Jean seat =  108.

The seat numbers were either 53, 64, 108, or 216 based on the information.

The single seat with a factor of 16 went to Candice. The seat is 64 .

In the group of seats, Bill was given the seat with the highest multiple of 8. It's number 216.

Rose was given the sole prime number-containing seat number. It is 53.

Therefore, 108 is the sum that is left.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.

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The total displacement in km and vector form in the form of i and j is 35.8 a[x] km + 0 a[y] km.

According to the question,

We have the following information:

A cyclist rode his bike for 169 min at an average velocity of 3. 53 m/s on a bearing of 450.

Now, we know that the following formula is used to find the velocity:

Velocity = displacement/time

(We will convert time from minutes into seconds.)

Displacement = 3.53*(169*60)

Displacement = 35794.2 m

Now, the displacement in km will be 35.8 km approximately.

Now, let's take that the bike is moving along the positive x-axis. So, it would be written in the following expression:

Displacement = 35.8 a[x] km + 0 a[y] km

Hence, the total displacement in km and vector form in the form of i and j is 35.8 a[x] km + 0 a[y] km.

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Speed of Santa 's sleigh in air (X) is 6 units and the speed of the wind (Y) is 1 unit.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.

Main body:

Let 'y' stand for the speed of the wind and 'x' stand for the speed of Santa. We will use the general equation (distance)=(rate)(time) to write two equations from the given information:

With the wind:

35=(x+y)(5)                -------(1)

Against the wind:

35=(x-y)(7)                 --------(2)

using equation 1  ,we have

x+y = 7

using equation 2  ,we have

x- y = 5

now solving both equations , we get

x = 6 and y = 1

Hence , speed of Santa 's sleigh in air (X) is 6 units and the speed of the wind (Y) is 1 unit.

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Answer:

y≤-3

Step-by-step explanation:

the parabola is negative and the maximum is -3.

Check the picture below.

so hmmm let's only find the lines in red and add them up all

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-4}) ~\hfill d1=\sqrt{(~~ 1- (-2)~~)^2 + (~~ -4- (-1)~~)^2} \\\\\\ ~\hfill d1=\sqrt{( 3)^2 + ( -3)^2} \implies d1=\sqrt{ 18 }[/tex]

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) ~\hfill d2=\sqrt{(~~ 2- 1~~)^2 + (~~ 0- (-4)~~)^2} \\\\\\ ~\hfill d2=\sqrt{( 1)^2 + ( 4)^2} \implies d2=\sqrt{ 17 } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{4~~ + ~~4~~ + ~~3~~ + ~~\sqrt{18}~~ + ~~\sqrt{17}} ~~ \approx ~~ \text{\LARGE 19.4}[/tex]

Answer:

Ellie 69%

Kevin 78%

Therefore Kevin has the redder paint

Answer:y= -2/3+3 is the answer since you are just flipping the same line and move down by 1

Step-by-step explanation:

Answer:

$227

Step-by-step explanation: if the console gets marked downed $25 it will be $200 then the 12% increase which it $27 so that will be $227

The probability of getting a head given that probability of getting a tail is   0. 52 is  0.48.

Probability of getting at least one head is equal to the probability of all events (100 percent, or 1) less the likelihood of receiving all tails .

Therefore the probability of getting a head is ( 1 - 0.52)

= 0.48

A random event's occurrence is the subject of this area of mathematics. The range of the probability is 0 to 1.

The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:

$16.35 is jadas sister new hourly pay

Step-by-step explanation:

hope this helps

Waiting time follows an exponential distribution with mean

μ=60

μ=60 seconds. This implies λ=1μ=160λ= μ1= 601

Let X be the waiting time. for first we have to calculate the probability of customers who wait less than 30 secs.

a. X is less than 30 seconds, then we have to find ,

P(X<X1)=1−e−λX1⇒P(X<30)=1−e−λ×0

=1−e−160×30 =1−e−12=1−0.6065

=0.3935P(X<X 1)⇒

P(X<30)

​

=1−e −λX 1=

1−e −λ×30 1−e − 601×30 =

1−e − 21

=1−0.6065

=0.3935

​b. X is more than 120 seconds, then we have to find less than 120 sec

b. X is more than 120 seconds

P(X>X1)=1−P(X<X1)=1−(1−e−λX1)⇒P(X>120)=1−(1−e−λ×120=e−60×120=e−2=0.135

P(X>X 1)⇒P(X>120)=1−P(X<X 1)=1−(1−e −λX 1)=1−(1−e −λ×120= − 601×120 =e −2=0.135

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Answer:mutplion

Step-by-step explanation:

a. The constant of variation is 1.3.

b. Initially the tree is  29.1 cm.

c. The equation showing this relationship is y = 1.3x + 29.1.

d. After  12.2 weeks many weeks will the plant be 45 cm tall.

e. 16.85 weeks of time has gone by when the plant is 51.3 cm tall.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at

x = 0.

a. The constant of variation is (y₂ - y₁)/(x₂ - x₁) = (38.2 - 33)/(7 - 3).

= 1.3.

∴ 38.2 = (1.3)7 + b.

38.2 = 9.1 + b.

b = 29.1.

y = mx + 29.1.

b. Now initial constant of variation m = 0.

So, y = 29.1 (cm).

c. The equation showing this relationship is y = 1.3x + 29.1.

d. 45 = 1.3x + 29.1.

1.3x = 15.9.

x = 15.9/1.3.

x = 12.2 weeks.

e. 51 = 1.3x + 29.1.

1.3x = 21.9

x = 16.85 weeks of time have gone.

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Answer: It's in the picture.

Step-by-step explanation:

Fatima needs to carry 13 pails to fill the pool to a depth of 18 cm.

Cube and cuboid are three-dimensional shapes that consist of six faces, eight vertices and twelve edges. The primary difference between them is a cube has all its sides equal whereas the length, width and height of a cuboid are different. Both shapes look almost the same but have different properties. The area and volume of cube, cuboid and also cylinder differ from each other.

Volume of a circular pool to a depth of 18cm = Area of circular pool x depth

π[tex]r^{2}[/tex]h

where r = radius of circular pool which is 120/2 = 60cm

h = depth which is 18cm, [tex]\pi[/tex]( constant) = 3.14

Volume (V) = 3.14 x 60^2 x 18  which is  203472 cubic centimeters

volume of each rectangular pail = 30 x 22 x 24 which is 15840 cubic centimeters

If the volume of 1 rectangular pail is 15840 cubic centimeters then the number of pails to fill 203472 cubic centimeters will be

203472/15840 = 12.84 approximately 13 pails

In conclusion 13 pails is needed to fill the pool to the depth of 18cm

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The probability that either of spin two wheel lands on an odd value is 1.

For the stated question-

Total number marked on the wheel (1 to 6) = 6 numbers.

Total odd number (1, 3, 5) = 3 numbers

Probability of of getting odd number on one wheel = 3/6 = 1/2.

Let the probability of of getting odd number on one wheel P(A).

Then, Probability of of getting odd number on second wheel P(B).

Then,

Only only wheel have the odd number,

P(A∩B) = 0.

Thus,

Probability that either wheel lands on an odd value;

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 1/2 + 1/2 - 0

P(A∪B) = 1

Thus, probability that either wheel lands on an odd value is 1.

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The area of the semicircle is 39.275 square cm

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

Diameter = 10 cm

Start by calculating the radius of the semicircle

So, we have the following representation

radius = Diameter/2

This gives

radius = 10/2

Evaluate

radius = 5

The area of the semicircle is then calculated as

Area = πr²/2

So, we have

Area = 3.142 * 5²/2

Evaluate

Area = 39.275

Hence, the area is 39.275 square cm

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Hence, the 2 decimal places a possible value of the number is 5.25, 5.26, 5.27, 5.28, 5.29, 5.31, 5.32, 5.33, 5.34

What are upper and lower bounds?

The maximum and smallest values that a number may have before it was rounded are known as upper and lower limits. They are also known as accuracy limits. Error intervals can be utilised to write the upper and lower bounds.

Given, A number truncated to 1 d.p. gives 5.3

And, the number originally had 2 decimal places

Then, the number could have been

5.25, 5.26, 5.27, 5.28, 5.29, 5.31, 5.32, 5.33, 5.34

These are the possible value of the number.

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