A bus pass has a starting value of $100. After one ride, the value of the pass is $98.25. After two rides, its value is $96.50. After three rides, its value is $94.75.
1. Write a rule to represent the remaining value on the card as an arithmetic sequence.
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $94.75
15 _____
2. What is the value of the pass after 15 rides?

3. How many rides can be taken with the $100 pass? (hint: set up an equation y=mx+b using the cost per ride as your NEGATIVE “m” value because your value goes down each time you ride and $100 as your starting “b” value. We’re solving for x when the total is 0. So, 0 = -___x + 100, fill in the blank with the cost per ride and solve for x.)

Answers

Answer 1

Answer:

73.75

Step-by-step explanation:

every ride the bus pass value goes down by 1.75 so we can use that to figure out what the 15th ride would cost. if you multiply 1.75 x 15 you will get 26.25. Now subtract 26.25 from 100 to get 73.75. Hope i helped! :)


Related Questions

can someone see if i did them right?

Answers

Answer:

Yes your answer is right. You did well

They are correct, great work.

To make papier-mâché, Emma uses 3/4 cup of white school glue for each batch. For a big project, she will make 11 batches of papier-mâché. Emma has half of 1-gallon bottle of white school glue. Does Emma have enough glue?

Answers

Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

Note that 1 gallon = 16 cups

Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups

Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:

= 8 ÷ 3/4

= 8 × 4/3

= 10 2/3

Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

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The line y=−0.5x+b passes through the points​ (1,5.5), (3,p),​ (4,4), and​ (7,n). Find​ b, n, and p.

Answers

Answer:   b = 6; n = 2.5; p = 4.5

Step-by-step explanation:

Finding b

If we use the given slope and use one of the points to write the equation in point-slope form (y - y₁) = m(x - x₁)), we can rearrange it to find the y-intercept:

Using (4,4)  

                                ⇒  y - 4 =  - 0.5 (x - 4)

                                     y - 4 = - 0.5 x + 2

                                          y = -0.5 x + 6

        ∴ b = 6

Calculating 'n' and 'p'

We can find n and p by plugging the points into the newly found equation   y = -0.5 x + 6.

For n using (7, n)

             since  y = -0.5 x + 6

                        n = -0.5 (7) + 6

                ∴        n = 2.5

For p using (3,p)

               since y = -0.5 x + 6

                         p = - 0.5 (3) + 6

                         p = - 1.5 + 6

                     p = 4.5

Checking the answer

We can check the answer we got in two ways:

We could also have found n a different way:

         Using the points (4, 4) and (7, n) as (x₁, y₁) & (x₂, y₂)   respectively

         The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                               - 0.5  =  (n - 4) ÷ (7 - 4)

                               - 0.5 =  ⁿ⁻⁴/₃          [multiply both sides by 3]

                                - 1.5 = n - 4           [add four to both sides]

                                    n = 2.5     [this matches the value of n we found]

We can plot the line and see if it goes through the points we found. As seen in the graph below, the line passes through all the points.

A shelf 16 5/8
inches wide is to be placed in a space that is
16 3/4 inches wide. Will the shelf fit in the space? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

5/8 is smaller then 3/4(6/8) NOW GIVE ME BRAINLIEST NOW

16 3/4 = 16 6/8 which is bigger than 16 5/8 so it will fit.
I hope this helps
But I’m not like the previous person, I don’t beg for brainliest I help for the sake of it and god will help me because of it.
Thanks

x=?
what does x equal

Answers

Answer:

a

Step-by-step explanation:

The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?

A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds

Answers

Answer:

It is 5 seconds     option C

Step-by-step explanation:

When the ball would hit the ground, h would reduce 0.

We can equate the R.H.S to 0.

∴ 0= -16t²+64t+80

0 = t² - 4t - 5              (dividing both sides by -16)

0 = t²+t - 5t -5  (by splitting the middle term)

0 = t ( t+1) -5 (t+1)

0= (t-5) * (t + 1)

when t-5=0   ;   when t+1=0

t =5           ;          t= -1                    time cannot be -ve

∴ t= 5 seconds

Hope this helps you.

Answer:

C)  5 seconds

Step-by-step explanation:

Given equation:

[tex]h=-16t^2+64t+80[/tex]

where:

h = height of a ball above the ground (in feet).t = time (in seconds).

The ball hits the ground when the height is zero.  

Therefore, substitute h = 0 into the given equation and solve for t.

[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies t+1=0 \implies t=-1[/tex]

[tex]\implies t-5=0 \implies t=5[/tex]

As time cannot be negative, t = 5 only.  

Therefore, it takes 5 seconds for the ball to hit the ground.

So, I have a math problem, the problem is,16x^0+2x^2*y^-1,How do I solve if x = 2 and y = 4?

Answers

Answer:

Given x = 2 and y =4

so 16[tex]x^{0}[/tex]+2[tex]x^{2}[/tex][tex]y^{-1}[/tex]

= 16*[tex]2^{0}[/tex] + 2*[tex]2^{2}[/tex]*[tex]4^{-1}[/tex]

= 16 + (2*4)/4

=16 + 8/2

16 + 2

=18

Step-by-step explanation:

Solving Two Step Equations

9x + 6/3 = 5x + 2

Answers

Answer:

x = 0

Step-by-step explanation:

In this case it isn't exactly 2 steps, but you can still solve it.

First, simplify. Divide 6 with 3:

9x + (6/3) = 5x + 2

9x + 2 = 5x + 2

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2 and 5x from both sides:

9x (-5x) + 2 (-2) = 5x (-5x) + 2 (-2)

9x - 5x = 2 - 2

4x = 0

Divide 4 from both sides of the equation to isolate the variable, x:

(4x)/4 = (0)/4

x = 0/4 = 0

x = 0 is your answer.

~

Answer:

4x+5

Step-by-step explanation:

9x+6/3=5x+2=9x-5x=4x+3+2=4x+4

Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. On sunday, sam hopes to make atleast $150 painting rooms and can work for exactly 10 hours. Which of the following sets represents the range of money (m) that sam can make without violating either his monetary or time restriction?
A. m= {150,250}
B. m={0,150}
C. m={0,250}
D. m={100,250}

Answers

Answer: A, {150,250}

Step-by-step explanation:

In 10 hours he can do 5x2 hours work.  or 5x$50 = $250 for 5 rooms

$150 is 3x $50 or 3x2 hours work.

He can work 6 hours and make $150

or he can work 10 hours and make $250

the range he can earn so that he makes at least $150 and no more than 10 hours is$150 to $250

($150,$250) in interval notation for working 6 to 10 hours (6,10)

What is the value of the expression 11 + (fraction 1 over 2)4 ⋅ 48?

Answers

Hello!

Answer:

107

Step-by-step explanation:

Hope this helps

Answer:

17

Step-by-step explanation:

d

What is the greatest common factor 3x^4, 15x^3 ,21x^2

Answers

Answer: 3x^2

Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.

If a girl says she likes you but then throws a moldy apple at ur head then laughs abt it and then say she was messing does she really like ya

Answers

13523273748164828482747264

nooooooooo yuppp

lablots

The product of sum and difference of two binomial like (x+y) and (x-y) isof two squares. (FERFENCEID)

Answers

The product of sum and difference of two binomial like (x+y) and (x-y) is x² -  y²

The first number = x

The second number = y

The sum of the two numbers = x + y

The difference of the two numbers = x - y

The product of the sum and the difference = (x+y)(x -y)

Note that the product of the sum and the difference = (x + y)(x - y)

This can be expanded by distributivity as shown below:

(x + y)(x - y) = x² + xy - xy - y²

(x + y)(x - y)  =  x² -  y²

This is the difference of two squares.

Therefore, the product of sum and difference of two binomial like (x+y) and (x-y) is x² -  y²

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The price of a toy usually costing £50 is increased to £65
Work out the percentage increase.

Answers

Answer:

32%

Step-by-step explanation:

65x50÷100

plz make brain list

Rylee finds a recipe for a bubble solution that uses 1 cup water, 1/4 dish soap, and 1 tablespoon corn syrup. She is 2 cups of dish soap. How much water should she use? Show your work.

Answers

Answer:

65

Step-by-step explanation:

Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other (pls include work and a simple how-to)
1. f(x)
4x and g(x) = x/4

Answers

Answer:

Yes

Step-by-step explanation:

Given:

f(x) = 4xg(x) = x/4

Find the following:

f(g(x)) = 4*g(x) = 4*x/4 = xg(f(x)) = f(x)/4 = 4x/4 = x

Since f(g(x)) = g(f(x)) = x, the functions are inverses of each other.

f(x)=4xg(x)=x/4

[tex]\\ \sf\longmapsto f(g(x))=4(x/4)=x[/tex]

[tex]\\ \sf\longmapsto g(f(x))=4x/4=x[/tex]

f(x) and g(x) are inverse of each other

A rectangular prism has a length of 5/6​​ inches and a width of 3/5​​ inch. The volume of the prism is 2/3​​ cubic inch. Find the height of the prism. Write your answer as a fraction or mixed number in simplest form

Answers

Answer: 1 1/3 inches

3+3+3+34+5+6+7+7+[tex]2+2[/tex]

Answers

Answer:

72

Step-by-step explanation:

Hope it helped brainiest plz

What is quivalent to 5/8?

Answers

Answer:

10/16 is also equivalent

Answer:

0.625

Step-by-step explanation:

All you have to do is put it in decimal form.

Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.

No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution

Answers

The value of x in the equation [tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex] are x = 0 and x = -2

How to solve the rational expression?

The expression is given as:

[tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex]

Cross multiply

[tex]x(x - 2) =2 * x^2[/tex]

Open the bracket

[tex]x^2 - 2x =2x^2[/tex]

Collect like terms

[tex]- 2x =2x^2 - x^2[/tex]

Evaluate the like terms

[tex]- 2x =x^2[/tex]

Rewrite as:

[tex]x^2 + 2x =0[/tex]

Factor out x

x(x + 2)  =0

Expand

x = 0 or x + 2 = 0

Solve for x

x = 0 or x = -2

Hence, the value of x are x = 0 and x = -2

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Giving answer branleist

Answers

Answer: 67/100

Step-by-step explanation: 0.67 is in the hundredths place not the tenths so it cant be 67/99 its 67/100

PLEASE HELP
Hans drove 715 miles in 3 hours. At the same rate, how many miles would he drive in 11 hours?

Answers

2621 2/3 miles


715 miles / 3 hrs = 238 1/3 mph
238 1/3 mph x 11 hrs = 2621 2/3 miles

To rent movies from the
store, a person has to pay an
annual membership fee of
$20 plus $2.50 for each movie
rented.
n 2017 Marie De Los Reyes. "A

Answers

If you need the equation, it would be 20+2.50.

The equation is y=2.50x+20.

what is the value of x 3/6x+9 =12

Answers

Answer:

x=6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Find the y-intercept of the line.
y=-1.4x + 6.9

Answers

Answer:

The y-intercept is 6.9

Step-by-step explanation:

The formula is y = mx + b, where m is slope and b is y-intercept.

Hope this helped :)

pls answer the question below

Answers

It has to be 262
I hope it’s right

HELP


15.4 = -2.1 + a/0.2

i'll give brainliest

Answers

The answer is a=3.5

find the measures of the angles labeled in the figure on the right.

Answers

Answer:

3,4 the answer

Brian painted 2/3 of a fence in 3/4 of a day. How long will it take him to paint the entire fence? ​

Answers

Answer:

9/8 days

Step-by-step explanation:

If it takes him 3/4 of a day to paint 2/3 of a fence, it would take him 9/8 days to paint the whole fence ((3/4)/(2/3)).

You can think of it like this:

It would take 3/8 of a day to paint 1/3 of a fence. So to find how long it takes to paint the whole fence, multiply 3/8 by 3.

Select all the correct answers. Which equations have a greater unit rate than the rate represented in the table? ​

Answers

Answer:

A. 5/7 x

D. 7/9x

Step-by-step explanation:

I hope this helped ♡ sorry if im wrong

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