You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?

Answers

Answer 1

Answer:

10 trips

Step-by-step explanation:

Let the number of trips to the gym be represented by t

Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.

$20 + $2× t

20 + 2t

Option B is to pay $4 each time you go.

$4 × t

= 4t

After how many trips to the gym will the cost be the same?

Option A = Option B

20 + 2t = 4t

Collect like terms

20 = 4t - 2t

20 = 2t

t = 20/2

t = 10 trips.

After 10 trips, the gym cost will be the same.


Related Questions

plz simplify and answer 3x+7x−28+31−8x for x=2043

Answers

Answer:

4091

Step-by-step explanation:

Given the equation;

3x + 7x − 28 + 31 − 8x

First, we would collect like terms;

3x + 7x − 8x − 28 + 31

Simplifying, we have;

[tex] 2x + 5[/tex]

For x = 2043;

2(2043) + 5 = 4086 + 5 = 4091.

64x^2y-y factor the expression

Answers

Answer:

y(8x+1)(8x-1)

Step-by-step explanation:

(5.31 x 103) – (2.8 x 103)

Answers

Answer:

258.53

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

I believe it is 258.53 ,,,,

If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.

Answers

Answer:

tab on it.

Step-by-step explanation:

14. A cable company charges a $30 base installation fee plus $10 for every hour it takes to install all the equipment in your house. Write an equation in slope-intercept form that models the price of your installation as a function of the amount of time it takes.
A. y=30x+10
B. y=10x+30
C. y=10x-30
D. y=30x-10​

Answers

the answer is B
Y= $10( hours) + $30
So you multiply $10 (x) how many hours worked plus $30 charge for base . Will give you the (y)

j + 150 × 50 is a(n) ______ expression, because ______.

Answers

It’s an expression because it doesn’t have an equal sign if it did it would be an equation

−2z+3+7z=−12
i need help

Answers

Answer:

 =  − 3

Step-by-step explanation:

Answer:

z=-3

Step-by-step explanation:

-2z+3+7z=-12

5z+3=-12

5z=-12-3

5z=-15

z=-3

:)

What is the scale factor (k) of the dilation if C is (-6,9) and C' is (-2,3)?

Answers

Answer:

Step-by-step explanation:

Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k

For the x coordinates:

C' = kC

x' = kx

-2 = k(-6)

-2 = -6k

Divide both sides by -6

k = -2/-6

k = 1/3

For the y-coordinates:

y' = ky

3 = 9k

Divide both sides by 9:

3/9 = 9k/9

1/3 = k

k = 1/3

Hence the scale factor of the dilation is 1/3

Answer:

The scale factor from C' to C is

3

But the scale factor from C to C' (the one you may have asked for in the question) is

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

Step-by-step explanation:

What we already know is that we have line segments C and C' and we know their lengths.

C = (-6, 9)

C' = (-2, 3)

So the scale factor from C' to C can be easily known if we simply use the rules of division

-6 ÷ -2

and

9 ÷ 3

They both are equal to the outcome, 3.

So we now know that the scale factor from C' to C is 3.

But what about C to C'??

Yes we still have to do division, BUT (you may have guessed it already but), we must switch the positions that the numbers for dividend and divisor were.

-2 ÷ -6 =

0.33333333...  or  [tex]\frac{1}{3}[/tex]

3 ÷ 9 =

0.33333333...  or  [tex]\frac{1}{3}[/tex]

So we can decisively conclude that the scale factor of C to C' is [tex]\frac{1}{3}[/tex]

I hope you find my answer helpful!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

a bag of grapes weighs 5/8 of a pound. Before any was eaten, the bag of grapes weighed 4 times this amount. What is the weight of the original bag of grapes

Answers

2.5 pounds or exact fraction 5/2 or 2 1/2 if you want a mixed fraction

10 POINTS!!!
PLEASE HELP:(

I know it’s really easy but i’m super confused. Can anyone help???

Answers

Answer:

t=1/5d

Hope this helps! :)

How do you write 4.0 x 101 in standard form?

Answers

Answer:

4.01

Step-by-step explanation:

the ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?

Answers

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

Answer:

There are 250 berries.

Step-by-step explanation:

There are 10 berries per 1 orange.

We have 25 oranges.

To find out how many groups of berries to oranges there will be I will divide 25 by 1.

[tex]25/1=25[/tex]

[tex]x*y=z[/tex]

x = Amount of groups

y = Amount of berries per group

z = Amount of berries total.

Substitute values:

[tex]25*10=250[/tex]

There are 250 berries total!

Jorge went to buy a new surfboard. The store has a 30% off sale. He has an additional 20% off. He pays 112$. What was the original price?​

Answers

Answer:

224

Step-by-step explanation:

30% + 20% = 50% = half price

if he pays 112 whick is half price you need to times it by 2 to get the full price

Is (4, 10) a solution of 5x + 10y = 120? Explain how you know. How
could you check using the equation? Using the graph?

Answers

Answer: No, it is not.

Step-by-step explanation:

If you solve and graph the equation, the point (4,10) falls below the line, not satisfying the equation.

If the perimeter of the regular pentagon is 75 cm what is the length of each side

Plz help nowww

If you wanna be crowed a brainliest:-)

Answers

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

5 groups of 2 hundredths =

Answers

5x0.02=10 hope this helps! :)

STORAGE COSTS According to a certain prediction equation, the cost of 200 square feet of storage space is $60. The cost of 325 square feet of storage space is $160. Find the slope of the prediction equation (in decimal form). Use the prediction equation to calculate the cost of 520 square feet. (use slash symbol to separate both answers, do not space)

Answers

Answer: for the first one it would be y=.8x-100 and the other answer would be 180

Let me know ASAP pls if it’s correct I found the answer online

Answer:

Full answer is

.8 for 1st one

and 360 for 2nd one

Step-by-step explanation:

Correct answer was given after wrong one.

What is the value of x?

Answers

Answer:

150

Step-by-step explanation:

Answer: 70

Step-by-step explanation: because 40 + 70 is 110. There is a sum of 180 degrees in a triangle. And 180- 110= 70.

pls give me brainliest

A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.

6 percent of 38 0.6 times 38 = 22.8

Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.

Answers

Answer:

C

Step-by-step explanation:

Answer:

it b or c

Step-by-step explanation:

Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16, . . . For each sequence, describe a way to produce a new term from the previous term. If the patterns you described continue, which sequence has the second greatest value for the 10th term? Which of these could be geometric sequences? Explain how you know.

Answers

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

The geometric sequences in the given sequences is  1, 2, 4, 8, 16, . . .

What is a sequence?

A sequence  is an enumerated collection of objects in which repetitions are allowed and order matters.

Now the given sequences are,

30, 40, 50, 60, 70, . . . :
0, 5, 15, 30, 50, . . . :

1, 2, 4, 8, 16, . . .

For sequence 30, 40, 50, 60, 70, . . . :

we have common difference, d = 10

So, this is an arithmatic sequence.

So, Tn = a1 + (n-1)d

Hence, 10th term of the series,

T10 = 30 + (10-1)10

T10 = 30 + 9*10

T10 = 30 + 90

T10 = 120

For sequence 0, 5, 15, 30, 50, . . .

This is a recurssive sequence

Hence each term of the series is given as,

0

5 = 5*1

15 = 5*(1 + 2)

30 = 5*(1 + 2 + 3)

50 = 5*(1 + 2 + 3 + 4)

.

.

.

.

.

10th term = 5*(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 +  9)

10th term = 225

For sequence 1, 2, 4, 8, 16, . . .

Here common ratio, r = 2

also, Tn = ar^(n-1)

So, T10 = 1*2^(10-1)

or, T10 = 1*2^9

or, T10 = 512

Therefore,

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

and The geometric sequences in the given sequences is

1, 2, 4, 8, 16, . . .

More about geometric progression :

https://brainly.com/question/14256037

#SPJ2

PLSSS!! HELP ME WITH THIS ASAP!!​

Answers

Answer:

1. (12-5)

2. 7(ab)

3. 14

4.  -4

5. 0

Step-by-step explanation:

1. rewrite using distributive property

answer:  a(12-5)

2. the answer is 7(ab)

3. 9 plus 5 = 14

4. -4

5. 25 plus -25 will be 0

in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain?
Answers:
A: 20%
B: 35%
C: 14%
D: 30%

Answers

i think b but idek know
C definitely c can’t see why not

Given:
b (x) = x2+7x
Find
B(7)

Answers

Answer:

Step-by-step explanation:

b(7) = 7^2 + 7(7)

B(7) = 49 + 49

B(7) = 98

I need some help on this problem.

Answers

Answer:

It would be <XWY & <UTW.

Xwy and str I believe

Nicole needs to drive a total of 26 miles. So far, she has driven 7.9 miles. How many more miles must Nicole drive?

Answers

Answer:

18.1

ignore this i need more text in order to submit

Answer:

18.1

Step-by-step explanation:

26-7.9= 18.1

hope this helps :)

The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8)

Answers

Answer:

y = -5/4x - 10.75

Step-by-step explanation:

First, put the equation in slope intercept form by isolating y:

5y - 4x = 10

5y = 4x + 10

y = 4/5x + 2

Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4

Plug in the slope and the given point into y = mx + b to find b:

y = mx + b

8 = -5/4(-15) + b

8 = 18.75 + b

-10.75 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = -5/4x - 10.75

Answer:

5x + 4y + 43 = 0

Explanation:

y=mx+b

m=slope

b=y intercept

perpendicuar lines have slopes that multiply to get -1

so

solving for y

add 4x both sides and divide by 5 to get

y=4/5x+2

slope is 4/5

perpendicular means the slopes multiply to get -1

so

4/5 times what=-1?

what=-5/4

so

y=(-5/4)x+b

find b

given the point (-15,8)

8=(-5/4)(-15)+b

8=75/4+b

-43/4=b

y=(-5/4)x-43/4

convert to standard form:

5x + 4y + 43 = 0

2+2+2-2x4x9x2+2+2+4+4x9+1938x3871

Answers

Answer:

7,501,904

I hope this helps!

Answer:

75020220.86 is the answer

In the figure, polygon ABCD is transformed to create polygon A'BCD.
This transformation is a
by a factor of

Answers

Answer:

This transformation is a  horizontal stretch  by a factor of  2 .

Step-by-step explanation:

The transformation is a horizontal stretch by a factor of 2 .

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

According to the given figure, vertices of rectangle ABCD are:

A=(3,0) B=(1,0) C=(1,2) and D=(3,2)

After the transformation of square ABCD we get a rectangle A′B′C′D′.

whose vertices are, A'=(6,0) B'=(2,0), C'=(2,2) and D'=(6,2)

(Here A', B', C' and D' are transformed from points A, B , C and D respectively.

In horizontal stretch by a factor k the point (x,y) in a graph f(x) is transformed to the (kx,y).

And after seeing the coordinates of vertices of square ABCD and rectangle  A′B′C′D′

it is clear that there is no change in the y-coordinates in all the vertices of both square ABCD and rectangle  A′B′C′D'.

Moreover, the x-coordinates are increasing by multiplying 2. Therefore it is a horizontal stretch by factor 2.

Hence, this transformation is a horizontal stretch by a factor of 2 .

To learn more on Graph click:

https://brainly.com/question/17267403

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CAN SOMEBODY PLZ ANSWER ALL THESE CORRECT THANKS!!!!
(Only if u know how to do this)

WILL MARK BRAINLIEST :D

Answers

Answer:

ok look at comments for answers

Step-by-step explanation:

Answer:

24. -3, -1, 0, +1, +3

25. -4, -3, -2, +1, +2

26. -1, 0, +5, +7, +8

27. -7, -4, 0, +2, +3

28. -3, -2, -1, +4, +6

29. -11, -7, -4, +1, +3

:)

A dairy milker's gross pay per week is $546. If she works 30 hours per week, how much does she earn per hour?

Answers

$18.20

Explanation:
$546/30hours=$18.20

Plz mark brainiest

Answer:

She earns $18.20 dollars per hour

Step-by-step explanation:

$546 (how much she is payed each week) ÷ 30 (how many hours she works each week) = $18.20 (how much she earns per hour)

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