The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?

Answers

Answer 1
The cost of membership at gym A can be written as:
c
a
=
$
10
m
+
$
15
The cost of membership at gym B can be written as:
c
b
=
$
4
m
+
$
40
Where
c
g
y
m
is the cost after
m
months.
To find when the cost is equal, equate the right side of both equations and solve for
m
:
$
10
m
+
$
15
=
$
4
m
+
$
40
Next, subtract
$
15
and
$
4
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:

$
4
m
+
$
10
m
+
$
15

$
15
=

$
4
m
+
$
4
m
+
$
40

$
15
(

$
4
+
$
10
)
m
+
0
=
0
+
$
25
$
6
m
=
$
25
Now, divide each side of the equation by
$
6
to solve for
m
while keeping the equation balanced:
$
6
m
$
6
=
$
25
$
6
$
6
m
$
6
=
$
25
$
6
m
=
25
6
m
=
4.17
At 4 months the cost of the two gym memberships will be about the same.

Related Questions

pls answer ASAP

Select all that apply.

Which decimals in the list are repeating decimals?

Answers

Answer:

- 5/6

- 1/3

Step-by-step explanation:

Answer:

A and F

Step-by-step explanation:

5/6 and 1/3

263/4 plz answer thank you

Answers

Answer:

65.75

Step-by-step explanation:

All you do is divide.

Answer:

65.75

Step-by-step explanation:

Please give me Brainlest!

PLEASE HELP MATH HW DUE SOON​

Answers

Answer:

One number is 43 and the other is -29

Step-by-step explanation:

If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers

Find the length of the third side of the right angle

Answers

Answer:

54

Step-by-step explanation:

The Williams are buying a house that costs $323,000 and can afford a 10% down payment. If the Williams want the lowest monthly payment, which loan option would you recommend? 15 year fixed, 5% down at a fixed rate of 5.5% b. 30 year FHA, 3.5% down at a fixed rate of 6.25% 30 year fixed, 20% down at a fixed rate of 5.75% d. 30 year fixed, 10% down at a fixed rate of 6%​

Answers

Answer:

The awnser is D

Step-by-step explanation:

Edge 2020!

The loan option that has a 30 year period with the maximum down

payment the Williams can afford as well as a low rate is recommended.

Response:

The recommended loan option is option d. 30 year fixed, 10% down at a fixed rate of 6%.

Which factors gives the loan with the lowest monthly payments?

The given information are:

The amount at which the Williams are buying the house = $323,000

Percentage of down payment he can afford = 10%

Required:

The loan with the lowest monthly payment.

Solution:

The lowest fixed monthly payment is given by the loans that have the

longest period in which to pay back the loan, which includes the options;

b. 30 year FHA, 3.5% down at a fixed rate of 6.25%

c. 30 year fixed, 20% down at a fixed rate of 5.75%

d. 30 year fixed, 10% down at a fixed rate of 6%

Given that the Williams can afford a 10% down payment, option b. and

option c are the possible options.

The interest rate for option b is higher and option b has a lower down

payment than the interest rate and down payment for option c.

The lower the down payment, the higher the monthly payment.

Therefore;

The option that has the overall lowest monthly payment is option d.

d. 30 year fixed, 10% down at a fixed rate of 6%.

Learn more about monthly payment for a loan here:

https://brainly.com/question/2371137

What is the lcm of 84,102 and 100

Answers

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

LCM=2×2×3×5×7×17=7120

A particular asteroid moves at a speed of 55,000 miles per hour . How many hours will it take the asteroid to travel a distance of 4.62x 10^5 miles ?

Answers

Answer:

8.4 hours

Step-by-step explanation:

Given that:

Speed of asteroid = 55000 miles/hr

Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles

We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.

Formula for speed can be given as following:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

OR, the formula for time in terms of speed and distance can be given as following:

[tex]Time= \dfrac{Distance}{Speed}[/tex]

Putting the given values in the formula to find the Time:

[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]

Can someone please help me out with this question?

Answers

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x)  = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

      Volume  = L x W x H

Insert the parameters and solve;

      Volume  = (5x + 1)(2x - 8)(x + 5)

     Volume  = (10x² - 40x + 2x - 8)(x + 5)

     Volume = (10x² - 38x - 8 )(x + 5)

     Volume  = 10x³ - 38x² - 8x + 50x² - 190x - 40

     Volume  = 10x³ -38x² + 50x² - 8x - 190x - 40

    Volume  = 10x³ + 12x² - 198x - 40

A rectangular prism has a volume of 686 cubic units. How many unit cubes would fill the volume of the solid if they were packed without any gaps or overlaps?

Answers

Answer:

2 unit cubes of 7 units side length can fill the volume of the solid without overlap

Step-by-step explanation:

Volume of a cube is L^3

Let the number of cubes be n

Since the cubes are similar,

then;

nL^3 = 686

nL^3 = 343 * 2

By inspection

L^3 = 343 (since it is a perfect cube and the cube root is 7)

n = 2

slope = 3/4 , goes through the point (0, 6)

Answers

Answer:

y = 3/4x + 6

Step-by-step explanation:

The sum of a number g squared and 4 is greater than or equal to −5.

Answers

Answer:

g^2 + 4 > -5

Step-by-step explanation:

sum implies addition so add it with 4

i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol

Answer:

[tex]g\geq +/- 3i[/tex]

Step-by-step explanation:

Using clues given in the problem, we can set up a solvable inequality.

A number g squared: [tex]g^{2}[/tex]

The sum of a number g squared and 4: [tex]g^{2}+4[/tex]

Is greater than or equal to: [tex]g^{2}+4\geq[/tex]

Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]

Isolate [tex]g[/tex]:

[tex]g^{2}\geq -9[/tex]

Solve for [tex]g[/tex]:

[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]

This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].

[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]

[tex]g\geq +/-3i[/tex]

I hope this helps!

Find the area of a square is 12cm find the length​

Answers

Answer:

The length would be l=3.46

Step-by-step explanation:

Help solve this equation

Answers

Answer:

x=1

You solve for x by cross multyplying

the answer is x = 1

plz help out with this with steps to I have all of questions like this to answer if u can help with this I would be able to answer the rest it's for my little sis in (6 garde)​

Answers

2 is the ? Answer :)

5pm to 5 am how many hours

Answers

Answer:

12 hours

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

which expression is equivalent to (-60) divided by 5?

Answers

Answer:

Step-by-step explanation:

No choices are listed.

But -60 divided by 5 is -12

plz do this ill mark brainly ​

Answers

Answer:

1. Expression: y = 235x

Answer: 1,175

2. The cost of the shirts is 5 dollars. Alex has 15 dollars in his wallet. He wants to buy 3 shirts. Write an expression that represents this problem.

Step-by-step explanation:

5. 235 per second

5 x 235 = 1,175

Expression: y = 235x

A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?

Answers

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

y=mx+b
answer fast, please!

Answers

Answer: y = -1x + 3

Step-by-step explanation:

it's going through the y intercept ( 3 )

and down ( negative by 1 )

you can also write the answer as y = -x + 3

either one, its the same.

y=-1x + 3 is the answer

Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11

Answers

Answer:

2; 5; 8

Step-by-step explanation:

To fill in the table, we need to generate an equation to represent the relationship between x and y.

First, find the slope using the two pairs given, (5, -1) and (25, 11):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]

m = ⅗.

Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.

[tex] y - y_1 = m(x - x_1) [/tex]

Where,

[tex] x_1 = 5, y_1 = -1 [/tex]

m = ⅗.

Plug in the values

[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3x}{5} - 3 [/tex]

Subtract 1 from both sides

[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]

[tex] y = \frac{3x}{5} - 4 [/tex]

Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.

✔️When x = 10:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]

[tex] y = 2 [/tex]

✔️When x = 15:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]

[tex] y = 5 [/tex]

✔️When x = 20:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]

[tex] y = 8 [/tex]

Answer:

2,5,8

Step-by-step explanation:

The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.5 ounce. ​(a) What is the probability that a randomly selected carton has a weight greater than 13.14 ​ounces? ​(b) A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 13.14 ​ounces?

Answers

Answer:

The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun

Mark bought a fishing rod with an original price of $125.99. He has a 20% coupon that he plans to use. What will his discount amount be? Round your answer to the nearest cent (hundredths place) and include the $ sign How much will Mark pay for the fishing rod after the discount? Round your answer to the nearest cent (hundredths place) and include the $ sign

Answers

Answer:

$25.2

Step-by-step explanation:

Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.

Have a fantastic day!!!!!!!!!!!!!!

Find the Area of the figure below, composed of a parallelogram and two semicircles.
Round to the nearest tenths place.
32
16
11

Answers

Two needed formulas,:

To find the area of a parallelogram, use

A = bh.

To find the area of a semicircle, use

Area = (πr^2)/2.

The area of the parallelogram is 11 x 32 or 352.

The two semicircle have the same measure.

The radius of the semicircle is (1/2)(16) or 8.

Area = (π8^2)/2

Area = 64π ÷ 2

A = 32π

There are two semicircle.

So, the area of both semicircle combined is

2(32π) or 64π.

Area of figure = 64π + 352.

Area of figure = 553.0619298304

We now round to the nearest tenths to get

Area of the figure = 553.06.

Calculate the following speed Distance of 20 meters, time is 2 seconds.

Answers

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

Jimmy scored 49 goals in soccer this season. Tommy scored 7 times fewer goals. how many goals did Tommy score

Answers

Tommy scored 42

49 -7 = 42

The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
_ pounds of sugar candies
=OWO=

Answers

Answer: 9 pounds of chocolate and 6 pounds of sugar candies

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Step-by-step explanation:

By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.

Let's define two variables:

x = pounds of chocolate candies usedy = pounds of sugar candies used.

Then, using the given information, we will have that:

x + y = 15

x*$7.00 + y*$2.00 = $5.00*15

If we isolate x in the first equation we get:

x = 15 - y

Now we can replace that in the second equation to get:

(15 - y)*$7.00 + y*$2.00 = $75

$105 - y*$5.00 = $75

$105 - $75  = y*$5.00

$30 = y*$5.00

$30/$5 = y = 6

So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

If you want to learn more, you can read:

https://brainly.com/question/12895249

A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards

Answers

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?

Answers

Answer:

25 miles

pls tell if I'm wrong

Charlotte had to distribute 71 dollars among 6 people. What is left with Charlotte after distribution if all six got maximum equal dollars?

Answers

Answer:

5?

Step-by-step explanation:

3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).

Answers

Answer:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]

Evaluate:

[tex]12=a(9)(4)(-4)[/tex]

Evaluate:

[tex]-144a=12[/tex]

Divide both sides by -144:

[tex]a=-1/12[/tex]

Hence, our entire polynomial is:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

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