Lynne walks dogs every day to earn money. The fees she charges per month are 1 dog,$40;2 dogs,$37.25 each;3 dogs,$34.50 each;4 dogs,$31.75 each. A pet store wants her to walk 8 dogs if the pattern continues, how much will Lynne charge to walk each of the 8 dogs.

Answers

Answer 1

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer 2

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Answer:

Hence, the charge to walk each of the eight dogs is $ 20.75


Related Questions

16. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.

Answers

Answer: See explanation

Step-by-step explanation:

Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 12 + 0.5t

Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 2.5t

Find the value of x. PLEASE HELP ASAP!
A.4
B. 16
С. 5
D. 12

Answers

Answer: x>12

so i think x is 16.

find H.C.F OF 4x²y and xy²​

Answers

Answer:

xy

Step-by-step explanation:

The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.

To start, we can list each value's factors.

For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y

Similarly, for xy² = x*y*y, our factors are x, y, and y²

The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy

The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?

Answers

Answer:

Size of the original rectangle is 30*20=600

Step-by-step explanation:

Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10

ATQ, (x+20)(x+10)=2(x+10)(x), x=20.

When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is given by the equation h(x)=160x−16x2 where x is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2 feet away from the sprinkler head?

Answers

Answer:

(1) 256 inches

(2) 5 feet

(3) 400 inches

(4) 10 feet

Step-by-step explanation:

(1) The function that gives the height in inches of the spray of water at a distance x from the sprinkler head is given as follows;

h(x) = 160·x - 16·x²

At x = 2 feet, we have;

h(2) = 160 × 2 - 16 × 2² = 256

Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches

(2) The x-coordinate, [tex]x_{max}[/tex], of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;

[tex]x_{max}[/tex] = -b/(2·a)

The x-coordinate, [tex]x_{max}[/tex], of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;

[tex]x_{max}[/tex] = -160/(2 × (-16)) = 5

Therefore, the number of feet along the way, the function will reach maximum height, [tex]x_{max}[/tex] = 5 feet

(3) The function, h(x) = 160·x - 16·x², will reach maximum height, [tex]h_{max}[/tex], at x = 5, therefore;

[tex]h_{max}[/tex] =  h(5) = 160 × 5 - 16 × 5² = 400

The maximum height of the spray, [tex]h_{max}[/tex] = 400 inches

(4) The water is at ground level where h(x) = 0, therefore;

At ground level, h(x) = 0 = 160·x - 16·x²

160·x - 16·x² = 0

∴ 16·x × (10 - x) = 0

By zero product rule, we 16·x = 0, or (10 - x)  = 0, from which we have;

x = 0, or x = 10

The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.

Please help and show work. 60 points

Answers

Answer:

18.

Domain: X E \{-3,2}

Y-Intercept: 1/2

X-Intercept: 3

19.

Domain: (I think it's none)

Y-Intercept: -2

X-Intercept: 2

20.

Domain: X E R\ {-3,1}

y-INTERCEPT: 2/3

x-INTERCEPT: -1

Step-by-step explanation:

18) when you factor the denominator, you get (x+3)((x-2). Since it doesn’t cancel out with any product in the numerator, the discontinuity would be non removable.
19) In this function, x can equal any value, since the denominator will never equal 0. So it’s continuous.
20) then for this one when you factor, you get 2(x-1)(x+1)/ (x+3)((x-1), so it has a removable at x=1 and a non removable one at x=-3.


In parallelogram ABCD, what is BDC?

Answers

Answer:

25

Step-by-step explanation:

<ABD=<BDC

Check it out

Answer:

∠ BDC = 25°

Step-by-step explanation:

Since ABCD is a parallelogram , then

AB and DC are parallel , so

∠ BDC = ∠ ABD = 25° ( alternate angles )

If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make

Answers

Answer:

13

Step-by-step explanation:

The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?

Answers

Answer:

[tex]y = - \frac{3}{2} x + 1[/tex]

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

slope of given line

[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]

[tex] = \frac{0 + 3}{ - 2} [/tex]

[tex] = - \frac{3}{2} [/tex]

[tex]y = - \frac{3}{2} x + c[/tex]

Given that the y- intercept is 1, c= 1.

[tex]y = - \frac{3}{2} x + 1[/tex]

What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x

Answers

Answer:

a

Step-by-step explanation:

i took this and got a 100

Answer:

y = 9x

Step-by-step explanation:

other person is so wrong, hope this helps.

What is the sum of the angles 'a' and 'b' from the diagram below.

Answers

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

Answer problem below

Answers

Answer:

A = 2, B = 1, C = 28

Step-by-step explanation:

Find the slope of the line AB.

The slope:

m = (11 - 9)/(11 - 7) = 2/4 = 1/2

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

y - 16 = -2(x - 6)y - 16 = -2x + 12y + 2x = 16 + 122x + y = 28

A = 2, B = 1, C = 28

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

[tex]y-y_{1}=m(x-x_{1})[/tex]

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

A=2

B=1

C=28

Determine what type of transformation is represented. A. translation B. reflection C. none of these D. rotation

Answers

Answer:

D. rotation

uhhhh I need 20 characters so

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'. Then the correct option is D.

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry. But flip the image.

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

Translation does not change the size and shape of the geometry. But change the location of the shape.

Check all the options.

Translation is incorrect because orientation of the triangle is changed.

Reflection is incorrect because the line of the reflection is not possible for the triangles.

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'.

Then the correct option is D.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

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What is the distance between (-5, 3) and (7, 3)? Explain using absolute values.

Answers

Use pythagoras theorem

d = √((x₁ - x₂)² + (y₁ - y₂)²)

d = √((-5 - 7)² + (3 - 3)²)

d = √((-12)² + 0)

d = √144

d = 12  

Answer:

Step-by-step explanation:

distance is √((x2-x1)^2+(y2-y1)^2)

so it will be √((12)^2+(0)^2)

or simply 12. since we are calculating distance, it is always going to be positive so technecally the formula is |√((x2-x1)^2+(y2-y1)^2)|

4. Which of the following is an algebra tiles representation of 3x - 2 = -5?

Answers

Answer:

Equation

ans = -1

Step-by-step explanation:

3x-2=-5

3x=-5+2

3x=-3

x=-3/3

x=-1

• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP​

Answers

Answer:

i think ..................

Step-by-step explanation:

society idsbwj ja

The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?

Answers

Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:

B. 57.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.

From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:

B. 57.

More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444

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(2.02 -16.61 : 5.5 ) : 2.5 - 1.6 =
solve this pls ​

Answers

Answer:

1.0612

I tried using the alogarithm of ratios but am confused please help me

Answer:

-2 Answer

Step-by-step explanation:

SEE IMAGE for Solution

how long will the sum of Rs 5,000 take to reach the amount RS 8750 at the rate of 15% per annum​

Answers

Answer:

It will take 5 yrs the sum of 5000 will take to reach Rs 8750 at the rate 15%

Step-by-step explanation:

T= ?

Amount = Rs 8750

R = 15%

P = Rs 5000

so

I = A-P

= 8750 - 5000

= Rs 3750

so

I = PTR/100

3750 = (5000*15*T)/100

or, 375000 = 75000*T

or, T = 375000/75000

so T = 5 yrs

When using statistics, it is important to __________. Group of answer choices use the mean as an average, as it is more reliable than the median or mode present statistical information in clear, meaningful terms avoid inferential statistics, since they do not represent observable facts use a surplus to make your speech more impressive

Answers

Answer: present statistical information in clear, meaningful terms.

Step-by-step explanation:

When using statistics, the information gathered should be presented in such a way that it is clear and meaningful as this would allow for the data to be tested using various statistical measures.

If data is unclear, the measures used for the test could be negatively impacted such that the results would not represent the most accurate of interpretations.

what expression represents 19 more than 6 times a number, n
1. 19n+6
2. 6n-19
3.6n+19
4.19n-6

Answers

Answer:

6n+19

Step-by-step explanation:

6 times a number, n

6n

19 more

6n+19

Answer:

6n + 19

Step-by-step explanation:

Since the expression is 6 times n

We need to have 6 x n or simply just 6n

Since the expression is 19 more than 6n

We need to have 6n + 19

factor 25-4z^2
im having trouble with a question

Answers

Answer:

(5-2z)(5+2z)

Step-by-step explanation:

25 -4z^2

Rewriting

5^2 - (2z)^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(5-2z)(5+2z)

Look at the figure. Which step should be taken next to construct a line through point R that is perpendicular to ST ?

Answers

Answer:

where is the figure without figure how to find out

find the value of trigonometric ratio​

Answers

Answer:

We know that Sin,

 [tex]=\frac{perpendicular}{hypotenuse}[/tex]

[tex]SinA=\frac{BC}{AC}[/tex]

[tex]SinA=\frac{9}{41}[/tex]

OAmalOHopeO

which of the following one is true

Answers

The answer is b ( the second one)
A) 260
B)140
C)148
D)160

value of the pronumeral and describe the rule.
4,1,-2,p,-8,-11​

Answers

Answer:

p = -5

every element in the sequence is created by subtracting 3 from the pervious element.

Step-by-step explanation:

I am not sure you put every necessary information here.

but I'd the visible information is truly everything, then it's is trivial.

the difference between 4 and 1 is ... well, -3. meaning we subtract 3 from 4 to get 1.

we suspect this is the rule and keep trying.

1 -3 = -2

hey it works.

and -8 -3 = -11

hey, also correct.

and the difference between -2 and -8 is -6, and when we place another item in between (p), we cut that in half again to -3. so, it is all consistent.

therefore,

p = -2 -3 = -5

the rule is

an = an-1 - 3

Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each month cost 3 paisa each, the second 100 texts cost 2p each and after this the cost of each text is 1paisa. Package B: All texts cost 2paisa. Which package offers her the better value for money in 30 days? Justify your answer.

Answers

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

[tex]100*3 + 100*2 + 160*1 = 660[/tex]

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

Another example of a problem in which a person has to choose between two packages is given in https://brainly.com/question/10693932

150 students
110 studied mathematies
95 studied physics
question 1
-The students took mathematics and physics.​

Answers

the students took math and physics = 55

Instructions: Find the missing side of the triangle.
12
16
X
х
=

Answers

Answer:

x = 20

Step-by-step explanation:

c^2 = a^2 + b^2

a = 12

b = 16

c = ?

c^2 = 12^2 + 16^2

c^2 = 144 + 256

c^2 = 400

sqrt(c^2) = sqrt(400)

c = 20

Solve the system of inequalities and indicate any three numbers which are solutions: x-0.8>0, -5x<10

Answers

x > 0.8

x > -2

hope it helps :)

The solution of the given inequalities will be x > 0.8 and x < -2.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given inequalities are x-0.8>0, and -5x<10. the inequalities will be solved as:-

x-0.8>0

x > 0.8

-5x<10

Take -5 to the right side and divide 10 by -5 and solve further.

x < -10 / 5

x < -2

Therefore, the solution of the given inequalities will be x > 0.8 and x < -2.

To know more about inequality follow

https://brainly.com/question/24372553

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