A gym offers two options for membership plans. Option A includes a one-time fee
of $121 and then costs $1 per day. Option B has no initiation fee but costs $12 per
day.
a) Write an equation for the cost of each option.
b) After how many days will the cost of the two options be the same? How
much will both options cost at that time?

Answers

Answer 1
identify variables:
x= # of days
y= total $ amount

Equation:

121+1x=12x

subtract -1x on both sides:

121+1x=12x
-1x -1x

1x-1x cancels out and 12x-1x is 11x so new equation is:

121=11x

now divide 11 on both sides

121 divided by 11 is 11. 11 divided by 11 is 1.


x=11

Now plug x=11 in option A.

121+1(11)=y

121+11=y

132=y

Now plug x=11 to option B.

12(11)= y

132=y


After 11 days the cost of the two options will be the same and both options would cost $132.

Related Questions

17 feet 5 inches - 8 feet 3 inches feet inches equals​

Answers

Answer:

9ft. 2in.

Step-by-step explanation:

17ft. 5in. = 209in.

8ft. 3in. = 99in.

209in. - 99in. = 110in.

110 in. = 9 ft. 2 in.

Simplify the following expression:
[tex]7x^{5}y^{3}(x^{5} y^{5} )[/tex]

Answers

7x^10 y^8
Best luck with your studying

Write the equation of the line below in slope-intercept form.

Answers

Answer:

y=3/2x-3

Step-by-step explanation:

An average Sandhill crane is 37 inches tall. This is 22 inches less than the average Whooping Crane’s height. Write and solve an equation to show the average height of the Whooping crane.

Answers

Answer:

37 - 22 =  WC height

Step-by-step explanation:

I need help with question 4 asappp!!!!!!


4.
Select/highlight all the inequalities that have the same graph as x <4.
A.
x < 2.
B.
X+6 < 10
C.
5x < 20
D.
X-2 > 2
E.
x <8

Answers

The answer is c I hope that helps you

PLEASE HELPP! I GOT IT WRONG!

Answers

Don’t worry! You just overthought it! I always do that. Just do 37.80-35=2.80

The answer is 2.80
Have a great day!
U good now or is there another one?

Work out the size of angle z.
Please help.

Answers

Answer:

44

Step-by-step explanation:

All angles on a triangle add up to 180 degrees so 180-(65+71) will give you 44

10 p
Find the measure of the indicated angle. Round to the nearest degree.
46
12

Answers

Answer:

15 degrees

Step-by-step explanation:

Sine ? = opposite / hypotenuse

Sine ? = 12 / 46

12 / 46 = 0.2608

Sine-1 of 0.2608 is 15.121

Round to the nearest degree

15.121 = 15

Work out the equation of the line which has a gradient of 2 and
passes through the point (1, 4).​

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

y-4 = 2(x-1)

y= 2x-2+4

y= 2x +2

please help!!! this is due soon

Answers

Answer:

letter b. hope it helps!! :)

Which expression is equivalent to 3+2? 

Answers

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

ERROR ANALYSIS. Sandra drew the triangle. Rika said that the lengths couldn’t be correct. With which student do you agree? EXPLAIN your answer.

Answers

Rika is correct, as the law of sines do not hold true for this problem, hence the side lengths couldn't be correct.

How to determine the correct student?

The correct student for this problem is obtained using the law of sines.

The law of sines states that the ratio between the sine of each angle and the side length opposite to this angle has to be equal for all the angles in the problem.

Hence the proportional relationship that must be true for the triangle in this problem is given as follows:

[tex]\frac{\sin{90^\circ}}{10} = \frac{\sin{30^\circ}}{5\sqrt{3}} = \frac{\sin{60^\circ}}{5}[/tex]

The sine values are given as follows:

sin(90º) = 1.sin(30º) = 0.5.sin(60º) = 0.866.

Hence the ratios are given as follows:

sin(90º)/10 = 0.1.sin(30º)/(5 x square root of 3) = 0.0577sin(60º)/5 = 0.173.

Different ratios, hence Rika is correct.

Missing Information

The triangle is given by the image presented at the end of the answer.

More can be learned about the law of sines at https://brainly.com/question/4372174

#SPJ1

Can somebody help me with this, please?

Answers

Answer:

area of square= (side)^2

area = (x+1)^2 = x^2 + 2x + 1

area of rectangle = l*b = (x+10)*(2x+5) =2x^2 + 5x + 20x + 50 = 2x^2 +25x + 50

area of shaded region = area of rectangle - area of square

     = 2x^2 + 25x + 50 - (x^2 + 2x + 1) = 2x^2 + 25x + 50 - x^2 -2x -1

     = x^2 + 23x + 49

What is the value of x in the triangle?

Answers

Answer:

X is 28

Step-by-step explanation:

All angles in a triangle ad up to 180 degrees.

85 + 67=152

180-152=28.

Hope it helped.

Answer:

28

Step-by-step explanation:

All triangles equal 180.

85+67=152

180-152=28

Your answer is 28

DESIGN A footbridge is suspended from a parabolic support. The function h(x) = x2 + 9 represents the height in feet of the support above the walkway, where x = 0 represents the midpoint of the bridge


b. What is the length of the walkway between the points where the support intersects the walkway?

Answers

h= x(^2) +9

X. the "(^2)" is x to the 2nd power

Answer:

the midpoint of the bridge 2(0)+9

so y=9.  (0,9)

so the length is 30 feet

If I share out my sweets between 8 people, each person gets 8 sweets each. How many sweets does each person get if I share them out amongst 2 people?

Answers

Hmmmmmmm..............

What is EG in the picture below?

EG =

Answers

2x+6.
EG=EF+FG
EG=x+x+6
EG=2x+6

Which expression is equivalent to ........? 6.52 – 6. 7(3+6) A. (60)2 · 7(9) B. 6(10)2 - 21 +42 C.6(25)+ 7(9) D. 150 - 21-42​

Answers

Answer:

C

Step-by-step explanation:

37 divided by a number s

Answers

Answer:

37/s (not finished, this is an expression)

Step-by-step explanation:

FIRST CORRECT ANSWER = BRAINLIEST

In the sequence below, a 1 is followed by two 2's, three 3's, and so on, up to ten 10's. What is the average of the mean, mode, and median of the sequence?
\[1, 2, 2, 3, 3, 3,..., 10, 10, 10, 10, 10, 10, 10, 10, 10, 10\]

Answers

The mean of the given sequence is 7, the median is 8 and the mode is 10.

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = [1, 2, 2, 3, 3, 3,..., 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]/ 55

Mean = 385 / 55

Mean = 7

Median represents the middle value of the given data when arranged in a particular order so,

Here the median is 8.

Mode is that number that appears most frequently in the given set of data which is 10.

Learn more about mean and median;

https://brainly.com/question/17060266

#SPJ2

Create and solve by completing the square a quadratic equation with no, 1 , and 2 solutions real solutions. Explain all your steps as if your were teaching a friend.

Answers

Answer:

The three quadratic equations are;

x² + 3 = 0

x² + 2·x + 1 = 0

x² + 3·x + 2 = 0

Step-by-step explanation:

1) A quadratic equation with no real solution is one with an imaginary solution such as one with a negative square root

We can write the quadratic equation as follows;

x² + 3 = 0

∴ x = √(-3) = √(-1) ×√3 = i·√(3)

Therefore, the equation f(x) = x² + 3, has no real root at f(x) = 0

2) A quadratic that has 1 real root is of the form;

(x + 1)² = 0

The root of the equation is x = -1 from (x + 1) = ((-1) + 1)² = 0²

Which gives;

(x + 1)² = (x + 1)·(x + 1) = x² + 2·x + 1 = 0

Therefore, the quadratic (x + 1)² = 0 has only one real root

3) A quadratic that has 2 real root is of the form;

(x + 1)·(x + 2) = 0

x² + x + 2·x + 2 = 0

x² + 3·x + 2 = 0

Therefore, the three quadratic equations are;

x² + 3 = 0

x² + 2·x + 1 = 0

x² + 3·x + 2 = 0

Guided Practice

x
0
1
2
3

y
3
4
7
12


Write a function rule that best models the data in the table.


A.
y = 3x + 1


B.
y = x + 3


C.
y = x2 + 3

Answers

Answer:

Step-by-step explanation:

List all of the solutions.

x =

0 =

1 =

2 =

3 =

y =

3 =

4 =

7 =

12 =

The answer is 4x+244

Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.

Answers

Answer:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

----------------------------------------------------------------------------------------------------

Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

----------------------------------------------------------------------------------------------------

So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

----------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------

For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

----------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------

#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

----------------------------------------------------------------------------------------------------

Hope this is what you were looking for and helps you! Have a nice day/night :)

determine the intercept line of y=-7x+3y=−7x+3

Answers

Answer:

3

Step-by-step explanation:

The slope-intercept form for an equation allows us to quickly identify the intercept of a graph. The general form of slope-intercept is written as:

y = mx + b

Where m is the slope, b is the intercept, and y & x are two data points from the graph.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x=3.5 cm

Step-by-step explanation:

90/2 = 45 degrees

Soh Cah Toa

We have opposite and hypotenuse making sin.

Length×Sin(Angle)

5×Sin(45) = 3.53553cm

Rounded the the nearest tenth makes 3.5cm

A box of 35 Cowboy Crunch cookies costs $5.40. Matthew has a $2.25 off coupon. If Matthew uses his coupon, what will be the price per cookie?​

Answers

9 cents per cookie

Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35

help me plz!!!!!!!!!!!!!

Answers

Answer:

108

Step-by-step explanation:

48/4 = 12 pens per box

12 x 9 = 108 pens in 9 boxes

Dan will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.07 per mile driven. The second plan has an initial fee of $50 and costs an additional $0.09 per mile driven. For what amount of driving do the two plans cost the same ? What is the cost when the two plans cost the same ?

Answers

Answer:

450 miles , $90.5

Step-by-step explanation:

Let d be the miles driven

59 + 0.07d = 50 + 0.09d

d = 450

The two plans cost the same when he drives for 450 miles which the respective cost is 59 + 0.07(450) = $90.5

Find the distance between Points C(4, 6) and D(−5, 6) without using a coordinate plane.

Enter the correct answer in the box.

Answers

Answer:

-1, 0

Step-by-step explanation:

i think <33

Coolshirts.com sells T-shirts. It costs the company $2.50 to make a simple T-shirt. The company marks up the price by 300%. What is the selling price of a simple T-shirt from coolshirts.com?

Answers

Answer:

coolshirts.com will sell the t shirts for %7.5

Explaination:

the company pays 2.50 to make the shirt and has a 300% mark up.

300% as a decimal is 3 and then you just multiply 2.50 by 3 to get 7.5

30% as a decimal percent
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