A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.

Answers

Answer 1

Answer:

7?

Step-by-step explanation:

Answer 2

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,

[tex]t_{1} =35+5c[/tex],  here c is the no. of classes.

Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,

[tex]t_{2} =10c[/tex].

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

[tex]t_{1} =t_{2}[/tex]

[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]

Hence for 7 of classes the programs cost the same.

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Related Questions

Do the ratios 18 7 and 2 1 form a proportion?

Answers

Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

[tex]\frac{18}{7}[/tex]  [tex]\frac{2}{1}[/tex]

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D

What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.

Answers

The remainder of the equation is [tex]\rm x+1[/tex].

Given that,

When the equation is [tex]x^3+1[/tex]  divided by [tex]x^2-x+1[/tex].

We have to determine,

The remainder for the equation?

According to the question,

The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]

Hence, The required remainder of the equation is [tex]\rm x+1[/tex].

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Answer: a

Step-by-step explanation:

on edge

What is the answer to this?

Answers

Answer:

[tex]\frac{12}5[/tex]

Step-by-step explanation:

The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]

We know

[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]

Now

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]

please help me :(
NO LINKS PLEASE

Answers

Answer:

Option A

Step-by-step explanation:

Given equation is:

[tex]x^2+1=2x-3[/tex]

Setting it up as a quadratic equation.

[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]

Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

No links or wrong answers please

Answers

Answer:

(x+1)(x−2)(x+3)(x−4)

Apply the distributive property by multiplying each term of x+1 by each term of x−2.

(x  

2

−2x+x−2)(x+3)(x−4)

Combine −2x and x to get −x.

(x  

2

−x−2)(x+3)(x−4)

Apply the distributive property by multiplying each term of x  

2

−x−2 by each term of x+3.

(x  

3

+3x  

2

−x  

2

−3x−2x−6)(x−4)

Combine 3x  

2

 and −x  

2

 to get 2x  

2

.

(x  

3

+2x  

2

−3x−2x−6)(x−4)

Combine −3x and −2x to get −5x.

(x  

3

+2x  

2

−5x−6)(x−4)

Apply the distributive property by multiplying each term of x  

3

+2x  

2

−5x−6 by each term of x−4.

x  

4

−4x  

3

+2x  

3

−8x  

2

−5x  

2

+20x−6x+24

Combine −4x  

3

 and 2x  

3

 to get −2x  

3

.

x  

4

−2x  

3

−8x  

2

−5x  

2

+20x−6x+24

Combine −8x  

2

 and −5x  

2

 to get −13x  

2

.

x  

4

−2x  

3

−13x  

2

+20x−6x+24

Combine 20x and −6x to get 14x.

x  

4

−2x  

3

−13x  

2

+14x+24

Step-by-step explanation:

i really dont know

What is the slope of the line2y+x=-3. Write your answer in simplest form.

Answers

Answer:

x+2y=-3

Step-by-step explanation:

12 5 x-10 what is the value of x

Answers

Answer:

X=23

Step-by-step explanation:

12²+5²=(X-10)²

144+25=(X-10)²

169=(X-10)²

√169=√(X-10)²

13=X-10

X=23

A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?

There are__?__ acres of old-grown trees.

Answers

Answer:

292 acres.

Step-by-step explanation:

OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".

6 - 3/8x = 15

what is x​

Answers

Answer:

Step-by-step explanation:

the answer is -480

Answer:

x = -24

Step-by-step explanation:

First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you

- 3/8x = 15-6

-3/8x = 9

Divide both sides by - 3/8

Then x = - 24

What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0

Answers

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?

Answers

Answer 2228 sq. ft.
I Hope This Helps

Tutorial
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this
data, how many of the next 12 shirts sold would you expect to be gray?
shirts

Answers

4 shirts would be gray

Wilson Green sells home security systems. He earns an 13% commission on every system he sells. Wilson's sales for this month totaled $6425. What is Wilson's commission? *

Answers

Answer

$835,25

Explanation

Total sales = $6425

Commission = 13%

100%  - $6425

13%     -  x

13 * 6425 = 83525

83525 \ 100 = 835,25

43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1


X-7y=8
5x+4y=20

Answers

1.

The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

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Math makes me think I shouldn’t be alive anyway the question is in the picture

Answers

Answer: y=(x)+40
First use rise over run which is 1/1
Next find the y-int which is 40
Answer is y=(x)+40.

I need help with this question ​

Answers

Answer:

The time may be calculated by making the equations equal each other:

2w +7 = .5w + 10

1.5w = 3

weeks = 2

Step-by-step explanation:


8
Find the arc length of the partial circle.
units

Answers

Answer:

How to solve ???

Arc Length = θ × (π/180) × r, where θ is in degree.

Radius and the sector area:-

Multiply the sector area by 2.Then divide the result by the radius squared (the units should be the same) to get the central angle in radians.Multiply the central angle by the radius to get the arc length.

Let's solve ur question :-

Answer :-

The Arc length of the given partial circle is 4π units or 12.56 units .

Used formulae :-

The length of the Arc is "I" units , the radius "I" units and the angle subtended by the Arc at the center is "X" is ( X° / 360° ) x 2πr units .

Circumference of the circle = 2πr units .

π = 3.14

Step-by-step explanation:

Ur answer with proof refer to above attachments .

Hope this helps you XD ✌️

Answer:

Step-by-step explanation:

Hope this helps!

How do you write 9,200 in scientific notation?

Answers

Answer:

9.2 x 10^3

Step-by-step explanation:

HOPE THIS HELPS and if it does brain pls thx

Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

please help, am not good at word problems. I will also give the brainliest answer.​

Answers

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's   9p + 10h = 213

                              - 4p + 10h = 178

5p = 35

p = 7  Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15  Holiday is $15

Write in point-slope form an equation of the line that passes through the
point (5, 9) with slope 7.

Answers

Answer:

y = 7x -26

Step-by-step explanation:

[tex]y-9=7(x-5)[/tex]

[tex]y=7x-35+9[/tex]

[tex]y=7x-26[/tex]

Hope this helps

5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180

Answers

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

Answer:

C. 150 times

Step-by-step explanation:

Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150

Suppose Viviana sent 100 text messages to her friend. She plans to send an additional 10
text to her friend per period. How many periods will it take Viviana to send 200 text
messages?

Answers

Answer:

20 More Periods

Step-by-step explanation:

Just Divide 200/10 and you get 20.

Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.

Answers

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

A similar question was answered here: https://brainly.com/question/5990973

Answer:

A. 42.5%

edge⬇️

Identify the error and fix the mistake

Answers

Answer:

x = (9 ±√201) ÷ 12

Step-by-step explanation:

6x² -5x -9 = 0 ( rearranged)

a = 6  b = -5  c = -9

- - 9 = 9

-9² = 81 (the 81 must be positive, this is one error)

-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)

120 + 81 = 201

x = (9 ±√201) ÷ 12

Sasha practices piano for 45 minutes, 6 days a week. How many minutes does Sasha practice in a week? Use an area model to solve.

Answers

Answer:

270

Step-by-step explanation:

Because i multiple 45 by 6

What is the percent of change if 18 is increased to
452

Answers

It’s 434


Mark as brainliest

Translate to an inequality. Use the variable x.
A number is less than 15.

Answers

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

Learn more about inequality here

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#SPJ2

Help help help help math

Answers

area=147 cm squared

7 x 7 = 49

49 x 3 = 147

find the sequence 5n+1

Answers

Answer:

Their are many answers for that seqence such as

1,6,11,16,21, etc..

Answer:

6,11,16,21,26,31,36...

Step-by-step explanation:

5x1=5 +1=6

5x2=10+1=11

...

Help me with this please!!!
Write the function for the graph!?!??

Answers

The y intercept is the y value when x is 0 which is shown on the graph as (0,4) making the y intercept is 4

The next point given is (1,8) which shows for every 1 increase in x (1-0 = 1) the y value increases by a multiple of 2 (4 x2 = 8)

The equation would be f(x) = 4 * (2)^x

The answer is B

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