Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Sidney wants to take group fitness classes at a nearby gym, but needs to start by selecting a
membership plan. With the first membership plan, Sidney can pay $36 per month, plus $2 for
each group class she attends. Alternately, she can get the second membership plan and pay
$35 per month plus $3 per class. If Sidney attends a certain number of classes in a month,
the two membership plans end up costing the same total amount. How many classes per
month is that? What is that total amount?
If Sidney attends
Submit
classes per month, each membership plan costs $

Answer: Answer B: m angle 5 = 152 because m angle 2 = m angle 5

Step-by-step explanation: im in 8th grade math in 7th grade

The type of software should Jace use will be "Entry level accounting system" as his company has 17 employees who work full time. The company has a number of very dedicated clients, and last year they generated $2 million in revenue.

Entry-level accounting includes typical accounting operations such as accounts payables and receivables, as well as basic financial reporting. These are, predictably, among the most affordable items; some sellers even provide an entry-level bundle for free for a brief time as a trial period. Entry-level accounting jobs are the initial level of accounting positions for people who are just starting out in their careers. Accounting Representative, Accounting Executive, Accounting Assistant, Accounting Associate, Entry-Level Accounting Clerk, Staff Accountant, and Bookkeeper are examples of entry-level occupations.

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For the given triangle JKL, the value of x is 10. An angle is a figure in Plane Geometry formed by two rays or lines that share a common endpoint.

Given information:

In  ∠J K L,JL is extended through point L to point M.

[tex]$&m \angle J K L=(2 x+14)^{\circ} \\[/tex]

[tex]$&m \angle L J K=(3 x+15)^{\circ} \\[/tex]

[tex]$&m \angle K L M=(7 x+9)^{\circ}[/tex]

See the attached figure.

At point L, the measure of angle JLK will be as,

[tex]$&m \angle J L K=180-m \angle K L M=180-7 x-9 \\[/tex]

[tex]$&=(171-7 x)^{\circ}[/tex]

Now, in triangle JKL, use the angle sum property to find the value of x as,

[tex]$$m \angle J K L+m \angle L J K+m \angle J L K=180[/tex]

[tex]$$$(2 x+14)^{\circ}+(3 x+15)^{\circ}+(171-7 x)^{\circ}=180$[/tex]

-2 x+200=180

2 x=20

x=10

Therefore, the value of x for the given triangle JKL is 10.

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The ratio Illustrated shows that the number of vanilla marshmallow is 121.

A ratio shows how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. It should be noted tjat.A/B will be the formula if one is comparing one data point (A) to another data point (B).

Let the vanilla marshmallow be represented be x.

Since the ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11, the vanilla will be:

= 11 / (5 + 11) × 176

= 11/16 × 176

= 11 × 11

= 121

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Complete question

The ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11. There are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?

Answer: Your answer is $7.30

Step-by-step explanation:

Finding the amount for a tip is simple!

all that's required is multiplying the bill (36.50) by the amount you want to tip (.20, because 20% is equal to .20)

36.50×.2= $7.30

The ordered pair which is a solution to the system of inequalities is: (-1, 0).

In order to determine which ordered pairs are true solutions based on the given system of inequalities, we would have to test each of the ordered pairs by substituting their values into the system of inequalities as follows;

For ordered pair (4, 3), we have:

-7x + 3y > -1

-7(4) + 3(3) > -1

-28 + 9 > -1

-19 > -1 (False).

For ordered pair (2, 8), we have:

-7x + 3y > -1

-7(2) + 3(8) > -1

-14 + 24 > -1

10 > -1 (True).

5x - 9y > -6

5(2) - 9(8) > -6

10 - 72 > -6

-62 > -6 (False).

For ordered pair (-1, 0), we have:

-7x + 3y > -1

-7(-1) + 3(0) > -1

7 + 0 > -1

7 > -1 (True).

5x - 9y > -6

5(-1) - 9(0) > -6

-5 - 0 > -6

-5 > -6 (True).

For ordered pair (-2, 2), we have:

-7x + 3y > -1

-7(-2) + 3(2) > -1

14 + 6 > -1

20 > -1 (True).

5x - 9y > -6

5(-2) - 9(2) > -6

-10 - 18 > -6

-28 > -6 (False).

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Answer:

x = 19/2 or 9.5

Step-by-step explanation:

a) Distribute.

(4)(x) + (4)(−5) = 18

4x + −20 = 18

4x − 20 = 18

b) Add 20 to both sides.

4x − 20 + 20 = 18 + 20

4x = 38

c) Divide both sides by 4.

4x/4 = 38/4

x = 19/2 or 9.5

Answer:

9.5 or 19/2

Step-by-step explanation:

4 ( x - 5 ) = 18

Step 1 : Divide 4 on both sides.

x - 5 = 18/4

x - 5 = 4.5

Step 2 : Add 5 on both sides.

x = 4.5 + 5

x = 9.5

Value of x in fraction = 95/10 = 19/2

Value of x in decimal = 9.5

The percentage of women that answered that they don't even like soccer is 85%

From the information, in the a survey of 500 women, 75 answered that they like soccer. Those that don't like soccer will be the difference between the values. This will be:

= 500 - 75

= 425

Therefore, the percentage of women that answered that they don't even like soccer will be:

= Those that don't like soccer / Total number × 100

= 425/500 × 100

= 85%

The percentage is 85%.

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Complete question

In a survey of 500 women, 75 answered that they like soccer. What percentage of women answered that they don't even like soccer?

For the given triangle, the value of x would be 12.

What is the geometric mean theorem of a triangle?

According to the geometric mean theorem, the length of an altitude drawn from a triangle's right angle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

For the given triangle, we can apply the geometric mean theorem,

                      By the geometric mean theorem, we can write

                                      6² = 3 * x

                                      36 =  3 * x

                                  ⇒ x = 36/3

                                  ⇒ x = 12.

Hence, for the given triangle, the value of x would be 12.

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Answer:

  -4.697 in/s

Step-by-step explanation:

You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.

The volume of a cone is given by ...

  V = π/3r²h

The rate of change is found by implicit differentiation:

  V' = (π/3)((2rr')h +r²h')

Here, the height is constant, so h' = 0. Solving for r', we find ...

  r' = 3V'/(2πrh)

Using the given values of V', r, and h, we find the rate of change of radius to be ...

  r' = 3(-541 in³/s)/(2π(5 in)(11 in)) = -1623/(110π) in/s ≈ -4.69652 in/s

The radius is decreasing at about -4.697 inches per second.

__

Additional comment

The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.

Answer:

2x^2

__________

x+3 | 3

2x + 2

3

- 2 x - 3

_________

R = - 1

Answer: 65°

Step-by-step explanation:

You can determine the total degree within a shape by using the formula 180°(n-2), where n is the number of sides of the shape. Thus, the total degree within the parallelogram is 360°.

Angles sum up to the total degree, meaning we need to add up all the angles we see and set them equal to the total degree. We have two (2x-15) and two x's.  

2(2x-15) + 2x = 360

Distribute the 2 to (2x-15), you will get 4x - 30.

4x - 30 + 2x = 360

Add like terms, 4x + 2x to get 6x.

6x - 30 = 360

Add both sides by 30 to isolate the 6x, because we are trying to determine the value of x, we need to isolate the term.

6x = 390

Divide both sides by 6, and you are left with the value of x being 65°

Hi, your answer will be 2.6 tons. Hope it helps.

Answer:

2.6 tons can be lifted by a rope with a diameter of 2 inches.

Step-by-step explanation:

2 = √39 / π

hope this helps you

As per the given equation in form of inequality 4x - 2y > 12 gives  the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.

As given in the question,

Given equation in inequality form is :

4x - 2y > 12

Simplify the given equation in intercept form we get,

2y < 4x -12

⇒ y < 2x -6

If we write this inequality in equation form we have,

y = 2x -6

slope of the line is 2

x -intercept is x = 3

y - intercept is y = -6

And in inequality form x > 3 and y < -6.

Therefore, for the given equation in form of inequality 4x - 2y > 12 gives  the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.

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Answer:i had forgot

Step-by-step explanation:

Answer:4

Step-by-step explanation:

u add den subtract den divide then there

Answer:

y=1/3x+6

Step-by-step explanation:

Use the formula "Y=mx+b"

Answer:

y= -1/3x - 6

Step-by-step explanation:

x+3y = -18

3y = -x -18

y= -1/3x - 6

The value of sec θ is -5/3 ,and  the value of cot θ is 3/4 in the unit circle.

Given:

The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.

here x = -3/5 and y = -4/5

radius r = [tex]\sqrt{(-3/5)^{2}+(-4/5)^{2} }[/tex]

= [tex]\sqrt{9/25 + 16/25}[/tex]

r = 1.(which is hypotenuse in unit circle).

sec θ = hypotenuse / adjacent

= 1/-3/5

sec θ = -5/3

cot θ = adjacent / opposite

= -3/5 / -4/5

= 3*5/5*4

= 15/20

cot θ= 3/4

Therefore the value of sec θ is -5/3 ,and  the value of cot θ is 3/4.

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Answer: No

Step-by-step explanation: to find out how much more money Eugene will be making we need to isolate the increased value provided by the raise and then add it to his already existing earnings. We do this by multiplying $2700 by 3.5%.

We would write this as 2700 x .035

This is because 100% can be converted to 1, for example if Eugene got a 100% raise we would multiply 2700 by 1 (which changes nothing) then add 2700 and 2700 together.

Since Eugene is only getting a 3.5% raise we would write it as .035 instead of 1

Now that we have our equation we first need to simplify. In this case it means we remove the two zero's from 2700 to make it 27. To make sure the answer does not get messed up will make the other side of the equation larger by moving everything two decimal points (one for each removed zero) like this.

27 x 3.5

This is much easier to work with but I will still show the steps I am using to prevent confusion.

27 x .5 = 13.5

27 x 3 = 20 x 3 + 7 x 3

20 x 3 = 60

7 x 3 =21

60+21 =81

81+13.5=94.5

Since 2700 + 94.5 = 2794.5 Eugene will not make more than $2800 dollars a month after his raise.

Answer:

(15-3x³) is the answer.

Step-by-step explanation:

2*15-2*3x³

which is 30-6x³.

Answer:

6 hours.

Step-by-step explanation:

Subtract initial fee from total. (67 - 19 = 48).

Divide by the hourly rate. (48 / 8 = 6).

The bike was rented for 6 hours.

The equation of line passes through the point (1, -5) will be;

⇒ y = - 3x - 14

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (1, -5).

And, The slope of the line is,

⇒ m = - 3

Now,

Since, The equation of line passes through the point (1, -5).

And, Slope of the line is,

⇒ m = - 3

Thus, The equation of line with slope - 3 is,

⇒ y - 1 = - 3 (x - (-5))

⇒ y - 1 = - 3 (x + 5)

⇒ y - 1 = - 3x - 15

⇒ y = - 3x + 1 - 15

⇒ y = - 3x - 14

Therefore, The equation of line passes through the point (1, - 5) will be;

⇒ y = - 3x - 14

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Answer:

15y

Step-by-step explanation:

3 times 5 is 15 with the variable

Second table represents an exponential function of the form y = b when 0

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered. In addition to many other applications, exponential functions are used to estimate populations, carbon date artefacts, assist coroners in determining the time of death, compute investments, and many more. Three of the most popular applications—population expansion, exponential decay, and compound interest—will be covered in this session.

Given,

Second table represents an exponential function of the form y = b when 0

Function: y = bˣ

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The deceleration of the train is -3 ms^-2.

Given:

A train is moving along a Straight track with a speed of 30 ms^-1 when it reaches point A. the driver applies the brakes and the train decelerates at a constant speed until it comes to a stop 150 m from point A

we know that:

v^2 - u^2 = 2as

where

v = 0

u = 30 ms^-1

s = 150 m

0^2 - 30^2 = 2a*150

0 - 900 = 300*a

-900 = 300*a

a = -900/300

a = -3 ms^-2

Negative acceleration is nothing but the deceleration so a = -3 ms^-2.

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The population in 208 years based on the information is 10193600.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Since the city doubles its size every 52 years. The number of times that it'll double in 208 years will be:

= 208 / 52

= 4 times

The population in 208 years will be:

= 637100 × 2⁴

= 637100 × 16

= 10193600

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Answer: $372

Step-by-step explanation:

330 + (1.5% of 330) = 334.95

334.95 + (1.5% of 334.95) = 339.97425

339.97425 + (1.5% of 339.97425) = 345.073864

345.073864 + (1.5% of 345.073864) = 350.249972

350.249972 + (1.5% of 350.249972) = 355.503772

355.503772 + (1.5% of 355.503772) = 360.836392

360.836392 + (1.5% of 360.836392) = 366.248398

366.248398 + (1.5% of 366.248398) = 371.742124

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The length of each wire is 12.8 feet

The television antenna makes an angle 90 with the ground

The height of the antenna is 10 feet

The wires are anchored to the base which is 8 feet

We need to calculate the length of the wires

The height of the wire can be calculated by using pythagoras theorem

h² = b² + p²

h² = 8² + 10²

h² = 64 + 100

h = √164

h = 12.8

Therefore, the length of each wire is 12.8 feet

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Answer:

LCM of 90 and 225 = 450

I'm not too sure I understand

2 x 3 x 3 x 5 = 90, and 3 x 3 x 5 x 5 = 225

90: 90, 180, 270, 360, 450

225: 225, 450

LCM = 450

Ethical research methods include D. doing your best to select an unbiased sample.

In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.

The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.

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