You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.

Answers

Answer 1

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month


Related Questions

X+2=y-4 solve equation for y

Answers

Answer:

x=y−6

Step-by-step explanation:

Answer:

x - y = -6

......

hope it helps!

solve y= 2x^2 + 4x + 1 by quadratic factoring

Answers

Solve the rational equation by combining expressions and isolating the variable y (solve for y). So, nothing further can be done with this topic:

Answer: y=2x^2+4x+1

Answer:

five and thirty eight thousandths

what are common factor of 18x+24x+46

Answers

Answer:

2

Step-by-step explanation:

18, 24, and 46 can be divided by 2

Can some one help me graph y=4x + 5 I keep doing something wrong.

Answers

Answer:

y = - 3x + 4

Step-by-step explanation:

Line is passing through the points (1, 1) & (0, 4)

Slope of line = (4-1)/(0-1) = 3/(-1) = - 3

Equation of line

y = mx + b

Here m = - 3, b = 4

y = - 3x + 4

Using point (1, 1)

y - 1= - 3(x - 1)

y = - 3x +3 +1

y = - 3x + 4

PO =
13.
If Q is the midpoint of PR, find the coordinates of R
If P(6,2) and Q(-4,5).
(Show using algebra or show the pattern used)
P
R
RI

Answers

Using mid point formula.

In which we have

Q(-4,5)=(6+x/2) , (2+y/2)

-4=6+x/2 and 5 =2+y/2

-8=6+x and 10=2+y

x=-14 and y=8

Therefore the required value of R{-14,8}

HELP ME PLEASE AND QUICK TOO
(02.01)
Which is the ratio of the number of months that begin with the letter M to the total number of months in a year? (2 points)

a
2 to 12
b
2 to 10
c
10 to 12
d
12 to 2

Answers

Answer:

A is the right answer for your question.

Jane is thirteen years younger than twice Ruby’s age. Nora is 5 years older than Ruby. If their ages sum to 52, find each girl’s age.

Answers

Answer:

J=17 N=20 R=15

Step-by-step explanation:

J=Jane

R=Ruby

N=Nora

J=2R-13

N=5+R

J+N+R=52

(2R-13)+(5+R)+R=52

Slove for R and plug into each equation

Answer:

Ruby is 15, Jane is 17 and Nora is 20.

Step-by-step explanation:

Let x represent the age of Ruby.

Jane: 2x - 13

Ruby: x

Nora: x + 5

52 = (x) + (2x - 13) + (x + 5)

52 = x + 2x - 13 + x + 5

52 + 13 - 5 = x + 2x + x

60 = 4x

x = 15

Jane:

2(15) -13

= 17

Nora:

(15) + 5

= 20

How would I translate 8+7t=22 into a verbal sentence.

Answers

Eight plus Seven times t equals twenty-two

The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing? (–∞, 6) (–∞, 10) (6, ∞)

Answers

Answer:

the answer is D. (10, ∞)

Step-by-step explanation:

−5=5(d+4) whats the answer

Answers

-1.8=d

Hope this helps:)

Answer:

-5

Step-by-step explanation:

Samantha and Felicity are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Samantha sold 6 packages of tulip bulbs and
12 bags of daffodil bulbs for a total of $198. Felicity sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127. Find the cost each of one package of tulips bulbs and one bag of daffodil bulbs.

Answers

daffodils= $13 tulips=$7

can anyone turn 3.25x+6.50y=520 into slope intercept form? pls!

Answers

Answer:

y=-1/2x+80

Step-by-step explanation:

Answer:

y = 1/2 + 80

I just divided the whole sequence by 6.50, so that y could end as 1y = etc.

The first 5 terms of some sequences are given. State a rule that each sequence could follow.


2, 4, 6, 8, 10

5, 7, 9, 11, 13

50, 25, 0, -25, -50

1/3, 1, 3, 9, 27

Answers

The first , second and third sequence is arithmetic and the fourth sequence is geometric.

A sequence is a series of numbers such that each number follows a very specific rule or explicit function which determines its value. There are numerous types of sequence and series . But for this particular question we will need to know :

Arithmetic sequence : Number in an arithmetic sequence or AP are at equal distance from each other if plotted on a number line. The difference between any two consecutive numbers is the same and it is called the common difference.Geometric sequence : a  sequence of numbers is said to be in  a GP such that the ratio of each number to the preceding and the succeeding numbers is same.

Let us now take each series of numbers and find the type of sequence it is:

sequence 1: 2, 4, 6, 8, 10

Common difference = 10-8 = 6-4 =2

So the sequence is arithmetic.

sequence 2: 5, 7, 9, 11, 13

Common difference = 13-11 = 7-5 =2

So the sequence is arithmetic.

sequence 3: 50, 25, 0, -25, -50

Common difference = 50-25 = - 25 - ( - 50) = 25

So the sequence is arithmetic.

sequence 2: 5, 7, 9, 11, 13

Common difference = 13-11 = 7 - 5 =2

So the sequence is arithmetic.

sequence 2: 1/3, 1, 3, 9, 27

Common ratio = 3 ÷ 1 = 27 ÷ 9 = 3

So the sequence is geometric.

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A bank says you can double your money in 8 years if you put $2,000 in a simple
interest account. What annual interest rate does the bank pay?
1%
25%
2.5%
12.5%

Answers

Answer:

1%

Assuming that interest is paid yearly,

4000 = 2000*(1+x)^8

2 = (1+x)^8

1 + x = root of 2 in 8th degree (2^1/8)

x = 2^1/8 - 1

x = 0.0905

or 0.01

I.e. 1%

Answer:

12.5

Step-by-step explanation:

2000 / 12.5 = 225

225 x 8 = 200

The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.

Answers

Answer:

Number of students

5

8

Step-by-step explanation:

Edg 2020

Answer:

number of students,5,8

Step-by-step explanation:

Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. What fraction of a box does each student receive?

Answers

1/4. Please make brainliest, I need points!:)

Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.

To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).

Step 1: Convert 3 1/4 to an improper fraction.

3 1/4 = (4 × 3 + 1) / 4 = 13/4

Step 2: Divide the total number of boxes by the number of students.

Fraction of a box per student = (Total boxes) / (Number of students)

Fraction of a box per student = 13/4 ÷ 12

Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).

Fraction of a box per student = 13/4 × 1/12

Step 4: Simplify the fraction if possible.

Fraction of a box per student = 13/4 × 1/12 = 13/48

So, each student receives 13/48 of a box of supplies.

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12-1/5r = 2r +1 solve for r

Answers

Answer:

r=5

Step-by-step explanation:

1.simplify both sides of the equation.

2.substract 2r from both sides.

3.substract 12 from both sides.

4.multiply both sides by 5/(11)

5. your answer will be 5.

r=5

Use the figure for Items 2 and 3. Lines PS and TR intersect at point Q.
P
T
What is mZSQR?
R
(2m + 4)º
S
(3m + 1)º

Answers

The measure of angle SQR is 74

How to determine the value of SQP?

The angles are given as

2m + 4 and 3m + 1

These angles are same side interior angles

So, we have

2m + 4 + 3m + 1 = 180

Collect the like terms

So, we have

2m + 3m + 4  + 1 = 180

Evaluate the like terms

So, we have

5m = 175

Divide both sides by 5

m = 35

Substitute m = 35 in SQR = 2m + 4

SQR = 2 x 35 + 4

Evaluate

SQR = 74

Hence, the measure of angle SQR is 74

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I need help with math! I hope you are having a great day!

Answers

Answer: 2/9
Using math

ect the statement that best describes a rational number when expressed as a decimal.

A rational number in decimal form has both a positive and negative solution.
A rational number in decimal form will never terminate or repeat.
A rational number in decimal form will always be positive.
A rational number in decimal form either terminates or repeats.

Answers

The statement that best describes a rational number when expressed as a decimal is a rational number in decimal form either terminates or repeats.

What is a rational number?

A rational number is a number that can be expressed as a fraction of two integers. Examples of rational numbers are 1, 1/2 and 0.1.  

A decimal is a non-integer that is made up of a whole number and non-integers. The whole number and the integers are separated by a decimal point. Examples of decimals are 0.3, 1.5.

A terminating decimal a decimal which can be expressed as a finite number of figures. A repeating decimal is a decimal that has a digit that repeat without ending.

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five more than twice a number is less than ten as an inequality?
plz help!!!!!!!

Answers

Answer:

2x+5<10

Step-by-step explanation:

please mark as brainliest

Given g(x)=f(x)+k, what value of k transforms function f into g?

Answers

Answer:

fg (gx)= xf (kg)

gf (fx) = f

solve for the equation 3r = -24

Answers

Answer:

yes

Step-by-step explanation:

bc Quick maths

Answer:

r=-8

Step-by-step explanation:

Find the solution for the equation.

3(n-4)=-12

round to the nearest hundredth if necessary.

Answers

The answer will be 0

Nataly collects stickers. Her grandma gave her 64 cat stickers for her birthday. If she set
aside 4 pages for her cat stickers and wants the same amount of stickers on each, how
many stickers will Nataly put on each page?
16
20
18
14

PLS HELP

Answers

Answer:

16

Step-by-step explanation:

16 x 4 = 64

Nataly will have to put 16 cat stickers on each page.

16x4=64 sooooo 16 have a good day

Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.


Answers

Answer:

Option A, B, and C.

Step-by-step explanation:

Given, 6x ≥ 3 + 4(2x - 1),

Solve to find the correct representations given in the options.

6x ≥ 3 + 4(2x - 1)

Apply distributive property

6x ≥ 3 + 8x - 4 (option B is correct) ✅

Add like terms

6x ≥ -1 + 8x

Add 1 to both sides

6x + 1 ≥ 8x

Subtract 6x from each side

1 ≥ 8x - 6x

1 ≥ 2x (option A is correct) ✅

Divide both sides by 2

1/2 ≥ 2x/2

½ ≥ x

½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.

This make option C correct.✅

Determine the number of terms n in each arithmetic series.
12) a1 = 13, d = 3, Sn = 1225

Answers

Answer:

The number of terms n in arithmetic series is n=25

Step-by-step explanation:

We are given:

a₁ = 13

d = 3

Sₙ = 1225

We need to find number of terms i.e n

The formula used will be: [tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Putting values and finding n

[tex]S_n=\frac{n}{2}(2a+(n-1)d)\\1225=\frac{n}{2}(2(13)+(n-1)3)\\1225=\frac{n}{2}(26+3n-3)\\1225=\frac{n}{2}(23+3n)\\2(1225)=n(23+3n)\\2450=23n+3n^2\\3n^2+23n-2450=0[/tex]

Now, solving using quadratic formula to find value of n:

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Putting values: a=3, b=23 and c=-2450

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-23\pm\sqrt{(23)^2-4(3)(-2450)}}{2(3)}\\n=\frac{-23\pm 173}{6}\\n=\frac{-23+ 173}{6}, n=\frac{-23- 173}{6}\\n=25, n=-\frac{98}{3}[/tex]

So, we get: [tex]n=25, n=-\frac{98}{3}[/tex]

Since number of terms can't be negative so, n= 25

So, the number of terms n in arithmetic series is n=25

1/2 |2x-3|+5=13
Solve for x

Answers

Answer:

x=19/2

x=- 13/2

Step-by-step explanation:

multiply both sides by                                                         2 |2x -3|+10=26

move constant (10 to the right and change sign                |2x-3|=26-10

subtract the numbers                                                           |2x-3|=16

use absolute value (rewrite the absolute value                  2x-3=16

equation as two separate  equations one (+) and (-)           2x-3= -16

2x-3=16    move constant to the right

2x=16+3   add the numbers  

2x=19   divide both sides by 2

x=19/2

same steps with with second one

2x-2= -16

2x= -16 +3 move constant to the right change sign and add

2x= -13             divide both sides by two

x= -13/2

The  |   | are not (   ) .  They have different meaning , absolute value brackets. ok :)

Which is more, 79 pints or 10 gallons?

Answers

Answer:

79 Pints =

9.875 Gallons

so 10 gallons is more

Step-by-step explanation:

10 gallons is more then 79 pints

Evaluate 5x-6 when x=3

Answers

Answer: 9.

5(3) = 15 - 6 = 9. But if you have to switch to addition, 5(3) = 15 + 6 = 21. Hope this helps!

Answer:

9

Step-by-step explanation:

5*3=15

15-6=9

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