Sophia is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $300 for 5 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.

Answers

Answer 1

Answer:

40t+100

Step-by-step explanation:

Answer 2

The equation that represents the total cost of the gym membership over t months is C = 40t + 100.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Sophia is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member.

The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $300 for 5 months

Based on the data given in the question:

The linear equation can be framed as follows:

C = 40t + 100

Here C represents the total cost of the gym membership over t months.

Thus, the equation that represents the total cost of the gym membership over t months is C = 40t + 100.

Learn more about the linear equation here:

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Related Questions

Which of these prices is lower than 5 for $3.00?
12 for 7 dollars
8 for 5 dollars and 44 cents
6 for $3.72
7 for $4.06
(HELP TAKING A TEST)

Answers

Answer:

Sorry im not good at math

It’s because the question is asking c

x delivery persons carry a total of B bags of groceries up the stairs. They can each carry y bags at a time, and they each make 2 trips up the stairs.

Write an equation that relates x, B, and y.

Answers

Answer:

B= 2xy

Example:  

2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry  1 bag at a time, and they make 2 trips up the stairs.

The equation relaated to x, B, and y is B= 2xy.

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs. Then the equation is,

B =2xy

Here, B = Total Bags , x = Delivery persons and y = Number of bags.

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A rotation by 2520° is how many full rotations?
O 10
O 5
07
O 14

Answers

7

a full rotation is 360°

divide 2520 by 360 it gives u 7.

7×360=2520

There are 7 complete rotations at 2520 degrees. Then the correct option is C.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

A rotation by 2520°.

Then the number of the rotations will be

⇒ 2520° / 360°

⇒ 7 rotation

Thus, the correct option is C.

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x^2-7x+7y-y^2
Factor (pls explain)

Answers

Answer: x(x-7)+y(7-y).

X and Y are common factors so you can factor both out and get this.

What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y
A. -131 B. -35 C. 57 D. 157

Answers

Answer:

I'm gonna guess and I don't know. I'm gonna go with C or A

Answer:

A

Step-by-step explanation:

I Just Took the Test.

In the triangle shown, the measure of angle A is 65.
B
65°
Choose all of the statements that are sufficient to determine that A ABC is an isosceles triangle.
m2B = 25°
B. MzB = 50
OOOO
C. m C = 65°
D.
AC = 65 units
E. AB = BC = 25 units
SRESET
Cynthia D Moreno, ID#****80
Growth: Math 6+ TX 2012
Question #8

Answers

Answer:

B. m<B=50

C. m<C=65

Step-by-step explanation:

We know that the interior angles of a triangle add up to 180 so knowing that A and C would be the same because of the fact it’s isosceles, the measure of A+C=130 meaning measure of missing angle B would be 50.

Answer:

B and C

Step-by-step explanation:

JK is formed by J(-12,3) and K(8,-5). If line r is the perpendicular bisector of JK, write an equation for r in slope-intercept form.

Answers

Answer:

y = 5/2x + 4

Step-by-step explanation:

Midpoint of JK:

x = (-12 + 8)/2 = -4/2 = -2y = (3 - 5)/2 = -2/2 = -1

Slope of the line JK:

m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5

Perpendicular lines have negative reciprocal slopes.

So the line r has a slope 5/2 and passes through the point (-2, -1)

Equation of r:

y = 5/2x + b-1 = 5/2(-2) + b-1 = -5 + bb = 5 - 1b = 4

So the equation is:

y = 5/2x + 4

HELP If 90 containers of candy hearts cost $2.70, what is the constant of proportionality

Answers

Answer: 0.03$ per container or 3 cents per container.

Step-by-step explanation: 2.70/90=0.03.

Answer:

It's either 0.03 or 2.70

Step-by-step explanation:

Find two numbers the quotient is between. then estimate the quotient 41÷3

Answers

Answer:

25

Step-by-step explanation:

I'm not really good at math but I think 25 is the answe

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function fox)-2574models average annual expenditures per household, in dollars. In this model, x represents the year, where x 0 corresponds to 2003 (a) Estimate out-of-pocket household spending on health care in 2008 (b) Determine the year when spending reached $2875 per household (c) The total expenditures per household in the year 2008 were approximately S (Round to the nearest dollar as needed.)

Answers

Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

An exponential model can be found when two data points from the model are known.

The total expenditures per household in the year 2008 were near $3,080.

The spending reached $2875 per household in year 2006

 

(a). Out of-pocket spending in a country for health care given by function,         [tex]f(x) = 2574e^{0.0359x}[/tex]

Since [tex]x = 0[/tex] corresponds to 2003, Similarly, x = 5 corresponds to 2008.

Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008

[tex]f(5) = 2574e^{0.0359*5} \\\\f(5)=3080[/tex]

f(5) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b). To determine the year when spending reached $2875 per household

 [tex]2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}[/tex]

 Taking natural log on both side

[tex]x=\frac{ln(1.1169)}{0.0359} =3.07[/tex]

Since x = 0 corresponds to 2003, So  x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

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What is 903 divided by 72?
33 POINTS FOR THIS QUESTION!!

Answers

Answer:

12.5416667

Step-by-step explanation:

:((( needdddd some help pleaseee

Answers

Answer:

D). g(x) = - x² - 4

Step-by-step explanation:

D). g(x) = - x² - 4

Answer: D

Step-by-step explanation: This has to do with Transformations. With transformations, it follows this formula:

A (Bx±C) ± D

A is a vertical transformation where the graph is pulled upwards or squished downwards. If it is a whole number, like 2, the graph is pulled (stretched) up. If it is a fraction, like 1/2, the graph is squished.

B is a horizontal transformation where the graph is stretched outwards or squished inwards (think: accordian). If it is a whole number, like 2, the graph is squished inwards. If it is a fraction, like 1/2, the graph is stretched outwards.

C is a shift right or left. In this case, the ENTIRE graph moves right or left by C. If it is x+C, the graph moves left. If it is x-C, the graph moves right.

D is a shift up or down. In this case, the ENTIRE graph moves up or down by D. If it is +D, the grapjh moves up. If it is -D, the graph moves down.

If there are no Parenthesis or Square Root for B and C to be inside of, then there is no B and C. For the graph of x², for example, you might only have

Ax² ± D.

A graph of x² with parenthesis might look like this

A (Bx²± C) ± D.

Finally, if there is a negative (-) in front of A, that means the entire graph flips accross the x-axis, upsidown. If it is a parabola (x²), then the 'opening' or 'U-shape' faces down when there is a negative in front of A.

Ok, now that the basics are taken care of, we can analyze the graph provided. We are given with the basic graph of x². The first obvious noteicable thing we see is the fact that the new graph, g(x), has been moved down by 4 units.

We know that a shift Downwards is an effect of D, so we know  the graph of g(x) looks like this so far:

x² - 4

However, that is not the only transformation that we can notice about g(x). We see that g(x) is flipped upsidown, with its 'U-shape' facing downwards. We know that this is because there is a negative in front of A.

So, g(x) looks like this now:

- x² - 4

After careful examination, there are no other noticeable transformations, so we figure out that g(x) = - x² - 4.

GIVEING BRAINLIST Match the terms to their definition.

1. proportion
a statement that sets the cross products of a proportion equal to each other
2. constant of proportionality
the relationship between two quantities that have a constant ratio
3. cross multiplication
the constant value relating two proportional quantities
4. proportional relationship
a statement that says two ratios are equal

Answers

Answer:

proportion=a statement that says two ratios are equal

constant of proportionality= the constant value relating two proportional quantities

cross multiplication= a statement that sets the cross products of a proportion equal to each other

proportional relationship= the relationship between two quantities that have a constant ratio

i just did this so you can mark the other person brainlist

SOLVE FOR VARIABLE PLEASE HELPP ASAP!!:)))

Answers

Answer:

x=24

Step-by-step explanation:

180-96=84

2x+x+12=84

3x+12=84

3x=72

x=24

Answer:

x=24°

Step-by-step explanation:

180-96=84

2x+x+12=84

3x+12=84

-12 -12

3x=72

3x/3=72/3

x=24

hopefully this helps :)


PLEASE HELP WILL MARK AS BRAINLEST

Question: Use the equation
y = 5 + 1/2x to complete the table. Use the table to list some of the ordered pairs that satisfy the equation.

Answers

First blank 4 —> (4,7)
Second blank 3 —> (-4,3)
Third blank -2 —> (-2,4)
Нцгцоцовьвьвьыщзцщцщу угвшвьвьбвв

0.0008012 in standard form

Answers

Answer:

Step-by-step explanation:

8.012 x 10^-4

Answer:

8.012×10^-4

Step-by-step explanation:

..............

A jewelry maker is designing a crown. The crown must have at least 45 gems, only using emeralds, rubies, and diamond the number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest numbers of emeralds, x, that can be placed on the crown

Answers

Answer:

X is the variable and x means multiplication symbol.

X + (X x 3 - 1) + (X x 3 - 1) - 4) ≥ 45 is the answer I got.

The answer to that inequality would be

X ≥ 7

Step-by-step explanation:

I am not good at math I just tried my best sorr if it is wrong.

Answer:

Diamonds: 20 Emeralds: 1 Rubies: 24

Step-by-step explanation:

45 = Total

Diamonds = 20 (4 less than rubies)

Emeralds = 1 (made into the smallest number)

Rubies = 24 (4 more than diamonds)

Tip! To help find the answer I divided 45 into three groups so the diamonds, emeralds, and rubies all started with 15. I then started to work it into place where diamonds were ALWAYS 4 less than rubies and just kept taking away from emeralds.

<3 Enjoy,

    Dea

I need help with this ASAP!!

Answers

the answer to this would be 45

Answer:

45

Step-by-step explanation:

Just plug in 12 wherever "z" is so,

[tex]5^2-\frac{12}{3} +2(12)[/tex]    simplify the equation  ⇒ [tex]25-4+24[/tex]

25-4=21

21+24=45

subtract and add as needed and finally our answer is

45

Twice a number q minus 1 is less than 5

Answers

Answer:

2q - 1 < 5

If you're trying to solve for q...

q < 3

Step-by-step explanation:

I'm not sure if you were asking for the inequality or the answer for q... but I'll gladly explain either if you need :)

whats the answer giving brainliest to the c o rect anwers

Answers

Answer:

A

Step-by-step explanation:

9/3 is 3

36-3 is 33

If P= {2, 3, 5, 7, 11, 13, 17, 19}, what is n(P)?

Answers

Answer:

Mark a s brainliest

Step-by-step explanation:

We are given the set:

P = {2, 3, 5, 7, 11, 13, 17, 19}

The n( ) function of a set is used to find out the number of elements in a set [also known as the cardinality of a set]

To find out the cardinality of a set, we usually count the number of terms in the set but keep in mind that ∅ (null) is an element of every set there is. So, the given set can be re-written as:

P = {∅, 2, 3, 5, 7, 11, 13, 17, 19}

From this, we can clearly see that there are 9 elements in this set

Therefore, the n(P) (cardinality) of this set is 9

Will the sign of the product of two negative numbers be negative or positive? Explain your answer.
A.
Cannot tell; the sign depends on the absolute values of the factors.
B.
Negative; if either of the factors is negative, their product is negative.
C.
Negative; if the signs of the two factors are the same, their product is negative.
D.
Positive; if the signs of the two factors are the same, their product is positive.

Answers

Answer:

A

Step-by-step explanation:

Answer:

D if the signs of two factors are the same, their product is positive

I WILL MARK U BRAINLIEST IF U DO THIS CORRECTLY!!!!!! ATTACHMENT BELOW

Answers

Answer:

210

Step-by-step explanation:

If each floor was 14 ft, and they want 15 floors, you would do 14 x 15, which equals 210

Which equation represents a line parallel to the x-axis
1 x=5
2 y=10
3 x=1/3y
4 y=5x +17

Answers

Answer:

4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

please give me brianliest

Select the correct answer.
A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to
finish the season with a 90% winning percentage?
A.12
B.14
C.15
D.27

Answers

Answer:

C

Step-by-step explanation:

First find how many games they need to have 90% by multiplying .9(30)=27

then, 15(.8)=12

Then 27-12=15

Answer:

c                                        

Step-by-step explanation:

What compound inequality describes this graph

Answers

Answer:

[tex] 3 < x < 4 [/tex]

Step-by-step explanation:

The graph shows a conjunction. Meaning, both statements of the compound inequality are true.

The empty circle shows that the values of x do not include 3 and 4. This means that x is greater than 3 and x is less than 4.

The compound inequality would be written as:

[tex] 3 < x < 4 [/tex]

What is 17/40 written as a decimal?

Answers

Answer:

0.425

Step-by-step explanation:

division of 17/40

The answer for this is .425

Pls help....................

Answers

Answer: EGF

Step-by-step explanation:

At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.

How many oatmeal cookies were at the party?

Answers

Answer:

15 oatmeal cookies.

jason is 3 times as old as his cousin. seven years from now the sum of their ages will be equal to 38. how old are they now

Answers

Answer:

Jadon is 18yrs

Cousin 6 yrs

Step-by-step explanation:

Answer:

Jason is 18 years old and his cousin is 6 years old.

Step-by-step explanation:

Just took the test

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With regards to feudalism,what was the name of the worker who was basically part of the property of and owned by the nobility A.serf B.clergy C.knights D.king List the levels of organization in an organism in order Congressman Henry Clay believed the U.S. government should be involved in these three things: PLS ASAP need it now. Can you summarize Chapter 20 in Island of the Blue Dolphin. PLS NEED IT NOW Which sample is a pure substance? zinc oxide sugar dissolved in water pond water soil Which one is the graph of f(x) = [x]? Crystallization of sodium acetate occurs spontaneously from a supersaturated solution. What can you deduce about the signs of S and H for this process? On November 1, Halloween candy is markdown by 60%. If a large bag of snack-sized chocolate retailed for $12, what is the clearance price? Did haymitch form an alliance with Maysilee If a stock's P/E ratio is 13.5 at a time when earnings are $3 per year and the dividend payout ratio is 40%, what is the stock's current price?A) $24.30B) $18.00C) $22.22D) $40.50 Whats the answer please help which option is an element air, sodium chloride, oxygen,water Which of the following is NOT a core feature of American Romanticism? Imaginative qualities. Adherence to orthodoxy. Appreciation of nature.Championing individuality. Find the measure of the complementary angle for letter S, 14 degrees. What is the lowest price per item? $1.40 each $9 for 6 $6 for 3 $10 for 8 Car Sales A manufacturer of economy cars has determined that 50,000 cars per month can be sold at a price of $18,000 per car. At a price of $17,500, the number of cars sold per month would increase to 55,000. Determine a linear function that predicts the number of cars that will be sold at a price of x dollars. Use this model to predict the number of cars that will be sold at a price of $17,000. If (x + 7) is a factor of f(x), what is the value of f(-7)? Which feature may form as a result of erosion related to runoff?DeltasGullies Flood plains Stalactites please help me asap How Did the New Deal Affect Labor Unions and Workers?