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.

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

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

Answer:

the answer is D. (10, ∞)

Step-by-step explanation:

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

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

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

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 :

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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Answer:

x=y−6

Step-by-step explanation:

Answer:

x - y = -6

......

hope it helps!

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

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

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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Answer:

2x+5<10

Step-by-step explanation:

please mark as brainliest

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.

Answer:

79 Pints =

9.875 Gallons

so 10 gallons is more

Step-by-step explanation:

Answer:

A is the right answer for your question.

Answer:

-5

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

bc Quick maths

Answer:

r=-8

Step-by-step explanation:

Answer:

Number of students

5

8

Step-by-step explanation:

Edg 2020

Answer:

number of students,5,8

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

16 x 4 = 64

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

The measure of angle SQR is 74

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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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

Answer:

fg (gx)= xf (kg)

gf (fx) = f

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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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}

Answer:

2

Step-by-step explanation:

18, 24, and 46 can be divided by 2

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 :)

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.✅