One health club charges a $40 membership fee and $40 per month. Another club charges a $100 membership fee and $25 per month. Write and solve an equation to find the number of months that it will take for the two health clubs to be equal

Answers

Answer 1

Answer:

After 4 months, the charges will be same.

Step-by-step explanation:

Membership charges of club one = $40

Per month charges = $40

Let,

x be the number of months

y be the total amount

y = 40x + 40

Membership charges of club two = $100

Per month charges = $25

y = 25x + 100

For equal charges, both equations will be same

40x + 40 = 25x + 100

40x - 25x = 100 - 40

15x = 60

[tex]\frac{15x}{15}=\frac{60}{15}\\x=4[/tex]

Therefore,

After 4 months, the charges will be same.


Related Questions

find the missing side measure

Answers

Answer:

B) 178 mi

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]78^{2} + 160^{2}=c^{2}[/tex]

6084+25600=[tex]c^{2}[/tex]

31684=[tex]c^{2}[/tex]

[tex]\sqrt{31684} =\sqrt{c^{2}}[/tex]

178=c

is -8+(-9) a negative integer or positive ​

Answers

It is -17 so a negative integer

Answer:

Negative Integer

Step-by-step explanation:

-8 + (-9) can be rewritten as -8 - 9, which is -17.

Since -17 is a negative number, it is a negative integer

Hope this helps!

There are 14 rows of seats in a cinema.
There are 15 seats in each row.
A film was shown in the cinema on Saturday,
Each ticket for the film cost £6.50
The tickets that were sold cost a total of £1274
How many tickets were not sold?​

Answers

Answer:

24 tickets were not sold

Step-by-step explanation:

Here, we want to get the number of unsold tickets

In each row, there are 15 seats

In the Cinema, there are 14 rows

The total number of seats is thus;

15 * 14 = 220 seats

If all the 220 seats were booked, the total amount of ticket sales would have been;

220 * 6.5 = £1430

But in this case, the amount generated is £1,274

Hence, the difference in these amounts will be;

1430 - 1274 = £156

To get the number of tickets unsold, we have to divide the amount here by the price per unit ticket

Mathematically, we have this as;

£156/£6.5 = 24

Solve for the variable shown. Round answers to the nearest hundredth if needed.

Answers

Answer and Step-by-step explanation:

Question 4:

We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.

[tex]cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\[/tex]

Question 5:

We need to use the sine trig function, which is opposite divided by hypotenuse.

[tex]sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45[/tex]

#teamtrees #WAP (Water And Plant)

find the coordinates for P in the diagram given r=4 and theta=7pi/6
(the diagram is an empty unit circle)

Answers

Answer: can you please set this up differently?????

Step-by-step explanation:

How does the President interact with the judicial branch of government?

Answers

Answer:

The President nominates people for appointment as Federal Judges. The nominees are approved by the Senate, but the President picks the nominees. Federal Judges are appointed for life but can be impeached

Step-by-step explanation:

Jack's train arrived at the station at 8:30 in the evening. The train ride was 2 hours and 10 minutes.
What time did jacks family leave? ​

Answers

Answer:

6:20 PM

Step-by-step explanation:

They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.

Question 3
20 pts
True or False.
Trey can drive his car 130 miles on 4 gallons of gas. At this rate, Trey would need 5 gallons of gas to drive 165 miles.
True
False
207

Answers

Answer:

false

Step-by-step explanation:

He needs little over 5 gallons

The price of strawberries varies directly with the weight of the strawberries purchased. Two pounds of strawberries cost $6.

What is the cost of 7 pounds of strawberries?

Answers

Answer:

$21

Step-by-step explanation:

2Lbs. = $6

(2/2) = (6/2)

1Lbs. = $3

(1*7) = (3*7)

7Lbs = $21

Since strawberries are priced on weight, you first need to find the weight of one pound. The prices need to be proportional, so whatever you do to one side of the equal sign, you need to do to the other. Divide both numbers by 2. One pound costs three dollars. Then multiply both numbers by 7. Seven pounds of strawberries cost twenty-one dollars

Find,, the slope of the line through the points (2, 5) and (-4, 5)..

Answers

Answer:

[tex]a = \frac{y - y}{x - x} = \frac{5 - 5}{2 + 4 } = 0[/tex]

Step-by-step explanation:

I think that is the answer

Pls help fast !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

⅓×2

When multiplied by 2 will be;

[tex] \frac{1}{3} \times \frac{2}{1} [/tex]

So you 2×1=2

3×1 is equal to 3

So the final answer will be;

[tex] \frac{2}{3} [/tex]

Answer:

2/3

Step-by-step explanation:

1/3 × 2/1

1 × 2/ 3× 1

= 2/3

hope it helps!

PLEEASSEE HELP I WILL GIVE 15 Which number line could help you find the distance between (7,4) and (3, 4)? A number line going from 0 to 8 in increments of 1. Points are on 3 and 4. A number line going from 0 to 8 in increments of 1. Points are on 3 and 7. A number line going from 0 to 8 in increments of 1. Points are on 4 and 7.

Answers

a number line going 0-8 with points on 3 and 7

Answer: i dont know if this is the right Question but it is 7 and 9 on the one i was on

Step-by-step explanation:

NEED HELP PLZ ANSWER IMMEDIATELY IM GOING TO GET IN TROUBLE A jacket usually sells for $61.00. If the jacket is 40% off, and sales tax is 8%, what is the total price of the jacket, including tax?

Answers

Answer:

$39.528

Step-by-step explanation:

61*0.6 = 36.6

36.6*1.08 = $39.528

Answer:

39.53

Step-by-step explanation:

Multiply 61 by .4. The answer is 24.4. Subtract 24.4 from 61. This is the sale price after the discount but before the sales tax. The answer to that is 36.6. Multiply 36.6 by .08, the answer is 2.928. Round to the nearest hundreths. Add this to 36.6. You're final answer is 39.53.

The graph represents a functionE(t). Describe why the graph represents a function. Identify the
domain and range of the function.

please help it’s very late

Answers

Answer:

Domain: [0, ∞)

Range: [7850, ∞)

Step-by-step explanation:

A function is defined by the set of ordered pairs having different output values for every input value.

In the graph attached, for every input value (x-coordinates) there is a unique output (y-coordinates) value.

Therefore, graph represents a function.

Domain of the given function → [0, ∞)

Range of the function → [7850, ∞)

What ordered pair is the solution of x-y=-3 2x+y=0
A. (-3,0)
B. (1,4)
C. (0,0)
D. (-1,2)

Answers

Answer:

D

Step-by-step explanation:

Simplify
[tex] \frac{ {4}^{2} }{16} [/tex]

Answers

Answer: 1

Step-by-step explanation:

[tex]\dfrac{ {4}^{2} }{16}=\dfrac{16}{16} =1[/tex]

The answer is that u gotta simplify then u get the answer 1

2x+5x=60
Definition of arithemtic sequence


Did yall watch Cobra Kai yet?

Answers

Answer:

I watched cobra Kai and loved it. Still waiting on Netflix new season. Watched to where Miyagi-do and Eagle Fang members joined up. So wonderful that Demetrius and Hawk made up.

Step-by-step explanation:

Hope this helps.

Answer:

Yes i have watched the show.

If f(1) = 5 and f(n) = 5f(n − 1) then find the value of f (5).

Answers

Answer:

f(1)= 5

so x=1

f(5)= 5(5-1) = 20

The value of f(5) is 3125.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(1) = 5 and f(n) = 5f(n − 1)

Now, for finding the the 5 th term we have to find the remaining four term before the 5th term.

So, n=2

f(2) = 5f(1)

f(2)=  5(5)

f(2)=  25

Now, n=3

f(3) = 5f(2)

f(3)=  5(25)

f(3)=  125

Now, n=4

f(4) = 5f(3)

f(4)=  5(125)

f(4)=  625

Now, n=5

f(5) = 5f(4)

f(5)=  5(625)

f(5)=  3125

Hence, the value of f(5) is 3125.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Let A and B be two events. The probability that event B occurs is 0.72. The probability that events B and A both occur is 0.24.
What is the probability that event A occurs, given that event B has occurred?
A. 0.17
B. 0.33
C. 0.48
D. 0.67

Answers

C is the answer to this question. I hope this helps.

Answer:C

Step-by-step explanation:

Someone help me please!!!

Answers

19=4.35
11=3.31
7.66= 7.7

Help me plsss I need or I will fail

Answers

Answer:

1. the decimal point moves to the right 2 spaces

2. the decimal point moves to the right 4 spaces

3. the decimal point moves to the right 3 places

Lanya's house is located at (2 2/3, 7 1/3) on a map. The store where she works is located at (-1 1/3, 7 1/3). what is the distance from Lanya's home to the store?

Answers

Answer:

Option A: 4 units is the correct answer.

Step-by-step explanation:

Given that:

Layana's house is located at ([tex]2\frac{2}{3}, 7\frac{1}{3}[/tex])

Store is located at ([tex]-1\frac{1}{3},7\frac{1}3}[/tex])

We can find distance between two points by using distance formula.

S = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

S = [tex]\sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2[/tex]

S = [tex]\sqrt(\frac{8}{3}+\frac{4}{3}+0[/tex]

S = [tex]\sqrt{(\frac{8+4}{3})^2[/tex]

S = [tex]\sqrt{(\frac{12}{4})^2[/tex]

S = [tex]\sqrt{(4)^2[/tex]

S = 4 units

Hence,

Option A: 4 units is the correct answer.

PLEASE HELP URGENT!!!!
Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£ 21552.13

Step-by-step explanation:

P= £18790

r =4.9% = [tex]\frac{4.9}{100}=0.049[/tex]

t = 3 years

I = Prt

I = 18790 * 0.049 * 3

 =£ 2762.13

After 3 years , the amount in Dan's account = 18790 + 2762.13

                                                                         = £ 21552.13

Which is a fourth degree trinomial with a leading coefficient of 3?
A) x2 – 3x4 + 13x
B) 3x4 – 8x3 = x + 2
C) 3x3 – x2 =12
D) x - x2 + 3x4​

Answers

Answer:

B.

Step-by-step explanation:

A fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴-8x³=x+2].

What is a trinomial?A trinomial in elementary algebra is a polynomial made up of three terms, or monomials.An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z is x + y + z.A trinomial in one variable, 2a² + 5a + 7, exists.

So, we know that a trinomial is made up of 3 terms.

4th-degree trinomial means that it has a power of 4.And with a coefficient of 3.

So, such expression is: 3x⁴ - 8x³ = x + 2

Therefore, a fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴ - 8x³ = x + 2].

Know more about trinomials here:

https://brainly.com/question/27020215

#SPJ2

3/16 times 6 as a fraction

Answers

Answer:

18/6= 1 1/8

-----------------------

         

A very exclusive college accepts approximately 2 students out of 5 applicants. If there were 250 total applicants, how many students were not accepted?
150
155
200
100

Answers

150were not accepted I think I’m not that sure

Answer:

100

Step-by-step explanation:

A bag contains n counters.
One counter is blue and the rest are red.
cla
-1
Two counters are taken at random from the bag.
a) Express, in forms of n, the probability that a counter of cach colour is taken.
Give your answer as a fraction in its simplest form.

Answers

Answer:

favourable outcomes /total outcomes

put ur question in the above formula

I'll get ur ans

Original: 12 for $9.12
New Deal: 9 for

Answers

Answer:

6.84

Step-by-step explanation:

POSSIBLE POINTS
The Simpson's had the "Semi Scooper Sundae" with 10 scoops of icecream and 6 cherries. Homer yelled, "I want more!"
The Super Scooper Sundae had 15 scoops of icecream and 9 cherries
Is the ratio equivalent? Choose Yes or No.
SINASS

Answers

Answer:

Bot ratios are equivalent?  YES

Step-by-step explanation:

The Semi Scooper Sundae has 10 scoops of ice cream and 6 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{6}{10}[/tex]

Simplifying:

[tex]\frac{6}{10}=\frac{3}{5}[/tex]

Ratio= 3:5

The Super Scooper Sundae has 15 scoops of ice cream and 9 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{9}{15}[/tex]

Simplifying:

Ratio= 3:5

Bot ratios are equivalent?  YES

Jake has 6 quarters 2 dimes and a nickel does he have enough to buy a dog bone that costs 1.49?

Answers

Answer:

Jake does have enough to buy a dog bone that cost $1.49

Step-by-step explanation:

6 quarters = $1.50

2 dimes = $0.20

1 nickel = $0.05

So add it all together: $1.50 + $0.20 + $0.05 = $1.75

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