A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.

Answers

Answer 1

Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.

A linear equation is precisely what?

The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.

Here,

Given :

Case 1: flat rate of $201 a month and you get unlimited visits.

and

Case 2:pay only $33 per month, but must pay $8 for each visit to the club.

Thus,

To find at what number of visits both plan be equal is

Let x be the number of visit,

We get,

Case 1: 201

Case 2: 33 + 8x

For equlaity:

=>33+ 8x =201

=>8x =168

=> x =168/8

=> x =21

Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.

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Related Questions

Hi answer one and two plz




Answers

Answer:

1: 36 3/4

2: 26

Step-by-step explanation:

because I had that same question and got an A

Please help this is for my geometry final i will appreciate it so much :)

Answers

True
Hope this helps:)

Answer and Step-by-step explanation:

The answer is True.

This is because rain is falling water (precipitating water), and water makes things wet, so because it is raining, the outside is wet from the falling water.

#teamtrees #PAW (Plant And Water)

MULTIPLE CHOICE QUESTION
What does the "rise" represent?
The change in y axis
the change in x axis
Rewatch

Answers

The change in Y axis

Please help :( how you do the bottom part

Answers

Answer:

1. x = 14

2. (14, 115.18)

3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Step-by-step explanation:

The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.

To do the first question, you simply have to make the equation from the story problem.

These equations are usually in the slope intercept form, y = mx + b

C(x) is the same as y, so begin by replacing it for simplicity.

If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.

y = 7.87x + 5

Now we can substitute variables to solve the equation.

To find x when C(x) = 115.18, we substitute y for 115.18.

115.18 = 7.87x + 5

Subtract 5 from both sides:

110.18 = 7.87x

Divide both sides by 7.87:

14 = x

So we have our first answer. When C(x) = 115.18, x = 14.

The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.

This means, as an ordered pair, the answer is (14,115.18).

The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Hope this helped!

1
Q4. What is the length of the base of a triangle that has an area of 15 cm
and a height of 3 cm?
O A) 12 cm
B) 10 cm
C) 45 cm
D) 3 cm
Q5

Answers

A) 12 cm ..............

Answer:

Area of a triangle= b · h/2

b) 10 is the correct answer because 10 x 3/2 = 15

A city has 5 cm of snow on the ground before a snow storm. During the storm, the amount of snow on the ground increases by 2 cm an hour.
which table shows a smaller rate of change than the one described?
Time Snow on Ground
(hours) (cm)
0
3
1
9
2
15
3
21
Time
(hours)
0
A
Ос.
Snow on Ground
(cm)
5
10
15
1
2
3
20
Time
(hours)
0
B.
Time Snow on Ground
(hours) (cm)
0
4
1
6
2
8
3
10
Snow on Ground
(cm)
6
7
8
9
1
2
3

Answers

Answer:

The answer is D because the snow on the ground increases 1 cm every one hour rather than 2 cm every hour.

Step-by-step explanation:

13. Solve the simultaneous equations using an elimination method.
a) 2x + 5y = 27
2x - 3y = 3
You must show how you worked out your answers​

Answers

Answer:

X=6,y=3

Step-by-step explanation:

The ratio of pears in a fruit salad to people if will serve is 7:15. If Waldo wants to serve 105 people, how many pears will Waldo use?

Answers

Answer:

49

Step-by-step explanation:

7/15=x/105

15x=735

x=49

A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?

Answers

Answer:

For this example they are all the same thing.  

530:1 or 530 mph

Step-by-step explanation:

A unit rate is when the denominator is 1.  In this case, the denominator is already 1 hour.

What is the paradox in The Importance of Being Earnest?

Answers

The drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

What is a paradox?

A remark that logically contradicts itself or runs counter to one's expectations is referred to as a paradox.

It is a claim that, despite appearing to be supported by genuine premises and sound reasoning, leads to a logically untenable or self-contradictory conclusion.

One of the most straightforward yet well-known paradoxes is the liar paradox, sometimes known as the liar's paradox statement.

A paradox exists when someone says, "This statement is a lie" or "This statement is false," because if it were true, the statement would be speaking the truth.

In "The Importance of Being Earnest", the play has multiple contradictions.

Because the upper class is required to lead because it is the governing class, Algernon's dissatisfaction with the lower class for not setting a better moral example for the upper class is paradoxical.

Therefore, the drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

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Ty bought a notebook for $3 and pencils $2 if both items were on sale for 25%, what did Tyler spend​?

Answers

Answer:

2.25 + 1.50 = 3.75

he spent $3.75

hope this helped

Step-by-step explanation:

In an amphitheater, eat are aranged in 50 emi-circular rowfacing a dome tate. The firt row contain 23 eat, and each row contain4more eat than the previou row. How many eat are in the amphitheater?

Answers

In an amphitheater, seat are arranged in 50 semi-circular row-facing a dome Tate. The first row contain 23 seat, and each row contain 4 more eat than the previous row. Therefore, there are 6050 seat are in the amphitheater.

Given that:

There are total 50 semi circular row.

In the first row there are 23 seats.

The given problem is AP series:

Arithmetic Series:

An arithmetic sequence is defined as an algebraic sequence in which each successive term has an equal difference. It is obtained by adding a constant to any preceding term. For the first term 'a' and the tolerance 'd' of the AP, here is a list of commonly used arithmetic progressions to solve various AP related problems:

Common Difference of AP: d = a2 - a1 = a3 - a2 = a4 - a3 = an - a(n-1)  nth term of AP.AP: an = a + (n - 1)d of AP Sum of n terms: Sn = n/ 2( 2a+(n-1)d) = n/2(a + l),

where l is the last term in the arithmetic progression.

Now,

Sum of n terms  = n/2 [ 2a + (n-1)d]

                          = 50/2 [ 2× 23 + (50 -1)4]

                          = 25 [46 + 49×4]

                          = 25 × 242

                          = 6050

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A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove past her stretch of highway in a twenty minute period. She separated the results by whether the cars were traveling northbound or southbound. The histograms show the speed of each car that she recorded.
Which statement is an appropriate inference based on the median of each data set?

Question 4 options:

1.)The northbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
2.)The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
3.)The southbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
4.)The southbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.

Answers

Answer:

2.

Step-by-step explanation:

There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.

PLEASE I WATED SO MUCH POINTS ON PPL GIVEING ME LINK SO PLEASE DONT GIVE LINKS

Answers

Answer:

E

Step-by-step explanation:

Find the volume of the following figure.

(I need a answer to this very soon so if anybody can answer id really appreciate it :))

Answers

The volume of the prism is 103.32 cubic inches (optionD)

What is the volume of a prism?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

The base area of the prism = 4.1×7.2 = 29.52 inches squared.

The height of the prism is 3.5 inches

Therefore volume = base area × height

volume = 29.52× 3.5 = 103.32 cubic inches.

Therefore the volume of the shape is 103.32 cubic inches.

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Olivia is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $2. She will sell the cards for $6 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?

Answers

Answer:

$8

Step-by-step explanation:

need help with these three

Answers

19) Multiplication is the same as division just the other way around. When I say this I literally mean it like we could use 45 x 2 which equals 90. Now if we look at it from division we would have to divide the answer we got with the smaller number of the multiplication. That would be 2 in this case. So it would be 90 divided by 2 equals 45. Hope I helped!

Habib cut out a rectangle that ha a perimeter of 60 inche and a length of 16 inche. They cut out another rectangle that i the ame length and twice a wide

Answers

The required perimeter of the new rectangle is 66 inches.

What is a rectangle?

A quadrilateral with all of its angles equal, or right angles, is a rectangle.

In addition to having all equal angles, a square also has all equal sides.

Therefore, a particular case of a square is a rectangle.

To put it another way, a rectangle can also be a square (when all sides to are equal).

Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.

To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.

So, a perimeter equals 2(l+b).

50 is the circumference and 17 is the length here.

Suppose the breadth is x.

50 = 2(17+x)

50 = (2*17)+(2*x)

50 = 34 + 2x

50 - 34 = 2x

16 = 2x

16/2 = x

8 = x

The first triangle's width is eight inches.

We know that the length of the other rectangle is 17.

And that the width is two times that of the first triangle.

Length = 17, width = 2*8 = 16, etc.

For the border:

p = 2(l+b)

p =  2(17+16)

p =  (2*17)+(2*16)

p =   34+32

p  =   66

Therefore, the required perimeter of the new rectangle is 66 inches.

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Complete question:

Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?

You deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. What is the final balance after 4 years

Answers

Answer:

$3,153.32

Step-by-step explanation:

Given that

The deposited amount is $3,000

The annual interest rate is 1.25%

So, the semi-annual interest rate is 1.25% ÷2  = 0.625%

And, the time period = 4 × 2 = 8

We need to find out the final balance

So,

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $3,000 × (1 + 0.625%)^8

= $3,153.32

A sine function has an amplitude of 3, a period of π, and a phase shift of [tex]\frac{\pi }{4}\\[/tex]. What is the y-intercept of the function?


3

0

-3

[tex]\frac{\pi }{4}[/tex]

Answers

The y-intercept of the sine function is -3

We know that the standard form of the sine function is, y = a sin(bx + c) + d

where, amplitude = |a|

period = 2π/b

phase shift = -c/b

and vertical shift = d

Here, a sine function has an amplitude of 3, a period of π, and a phase shift of π/4

a = 3,

So, 2π/b = π

⇒ b = 2

And phase shift -c/b = π/4

⇒ -c/2 = π/4

⇒ -c = π/2

⇒ c = -π/2

So, a sine function would be,

y = 3 sin(2x + -π/2) + 0

y = 3 sin(2x + -π/2)

When x = 0,

y = 3 sin(0+ -π/2)

y = 3 sin(-π/2)

y = 3 × (-1)

y = -3

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Alma bought 6 gallons of gasoline for $19.14. What was the unit price of this gasoline?

Answers

Answer:

3.19

Step-by-step explanation:

Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.

Answers

The answer to the table is given below.

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given:

Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question

Drink mix     3     4     5      6    7

water cups   8     9     10     11   12

Hence, The complete table is shown above.

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How long will the other side be ?

Answers

Answer:

B

Step-by-step explanation:

answer : B

explanation:

HELP
ASAP FOR 20 POINTS!

Answers

Answer:

15.01

Step-by-step explanation:

If the radius of a new larger circle is 36 mm, what is the area of the larger circle with the same scale?

Answers

Answer:

4072.032mm^2

Step-by-step explanation:

Given data

Radius= 36mm

The expression for the area of a circle is

A= πr^2

Substititute

A= 3.142*36^2

A= 3.142*1296

A= 4072.032mm^2

Hence the area is 4072.032mm^2

3+ T/2 = 35  (Solve for T)

Answers

Therefore , the solution to the given problem of linear equation comes out to be T= 64.

Define a linear equation.

Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.

Here,

Given : 3+ T/2 = 35

thus,

=>  3+ T/2 = 35

=> T/2 = 35-3

=> T/2 = 32 *2

=> T= 64

Therefore , the solution to the given problem of linear equation comes out to be T= 64.

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Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?

Answers

Answer:

11 marbles

Step-by-step explanation:

Let x = no. of marbles-Alex

3x = no. of marbles-Billie

3x - 9 = no. of marbles-Chris

x + 3x + 3x - 9 = 68

7x - 9 = 68

7x = 77

x = 11

Alex will have 11 marbles out of a total of 68 marbles.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Alex has some marbles. Billie has three times as many marbles are Alex.

Chris has 9 fewer marbles than Billie.

In total, they have 68 marbles.

Let x = no. of marbles-Alex

3x = no. of marbles-Billie

3x - 9 = no. of marbles-Chris

The number of marbles will be calculated as,

x + 3x + 3x - 9 = 68

7x - 9 = 68

7x = 77

x = 11

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helppppppppppppppppppppppppppp meeeeeeeeeee find the area

Answers

Answer:

30.3/option 3

Step-by-step explanation:

Area of paralellogram:

((2+10)/2)*4

12/2*4

6*4

24

Area of semicircle

(pi*r^2)/2

3.1415*2^2/2

3.1415*4/2

6.283

Total:

24+6.283 = 30.283

Round it and it becomes 30.3 so option 3

plz mark brainliest if you find this helpful

Answer:

Half of 4 is 2

2^2 = 4

4 x 3.14 = 12.56, 12.56 divided by 2 = 6.28

10 + 2 = 12

12 x 4 = 48, 48 x 1/2 (basically just dividing by 2) = 24

Add the given areas:

24 + 6.28 = 30.28 m^2

Expanded and simplified form if 5 (m+2) + 9 (n+4)

Answers

Answer:

The answer expanded and simplified is

5m +9n +14

Can some one help me with this question its hard :( down below ill give brainliest

Answers

The answer is m^4.
An explanation is in the picture.
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