Two friends Ana and Juan are buying books by joining the History Book
Club.
Ana has to pay a yearly fee of $15 to join. She spends a total of $525 for 30
books. How much was the price per book on average?
Juan has to pay a yearly fee of $10 to join. He spends a total of $350 for 23
books. How much was the price per book on average?
Write a function for Ana and Juan each to model the scenario to figure out
the total cost per book. Who has the better deal? Ana or Juan? Why?

Answers

Answer 1

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.


Related Questions

Write each expression in expanded form.
Expression
-2(-6)
-2(-y)
-2(-6+)
- (-6-y)

Expanded form:

Answers

Answer:

hi

Step-by-step explanation:

Answer:

1. 12

2. 2y

4. 6 + y

St0ep-by-step explanation:

Circled the name of the transformation that would position one of the figures onto the other!

Answers

Answer:

A. reflection

B. translation

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I think it's D

Step-by-step explanation:

Answer:

I think it is C.

Step-by-step explanation:

I think it's C because the 2 is showing how long it took to get to the library.

Which value cannot represent the probability of an event occurring?

options are:

0.01

2 over 85

62.5%

1.1

Answers

Answer:

1.1

Step-by-step explanation:

1 in probability means always so anything greater than 1 is meaningless

A construction company has two divisions: ceilings and floors. The amount of revenue for the ceiling division, C, is approximately Normally distributed with a mean of $2.6 million per year and a standard deviation of $0.9 million per year. The amount of revenue for the flooring division, F, is approximately Normally distributed with a mean of $3.1 million per year and a standard deviation of $1.1 million per year. Assume C and F are independent random variables.

What is the probability that the ceiling division makes more revenue than the flooring division in a randomly selected year?
0.006
0.363
0.401
0.637

Answers

Answer:

The correct anwer is 0.363

Step-by-step explanation:

Got a 100% on edge quiz

Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car
length is 3 cm : 2 m. The length of the car in her drawing is 6 cm.
Ivan draws a scale drawing of the same car. His ratio of scale drawing length to actual car
length is 2 cm : 1m.
What is the length of the car in Ivan's scale drawing?

Answers

Answer : 12cm

Step-by-step explanation:

Answer:

im thinking its 12

Step-by-step explanation:

because if you

multiply 3cm : 2m = 6

multiply 2cm : 1m = 2

then multipy 6x2 wich gives you 12

so l really dont know

i neeed heppppppppppppppppppppppp

Answers

2g-28+20g=1-g
22g+g=1+28
23g=29
g=29/23

Write the quadratic equation in Standard form:

5x2-6=-6x

Answers

Answer:

5x2+6x-6=0

Step-by-step explanation:

Standard form is ax2+bx+c=0

We add 6x to both sides and we get:

5x2+6x-6=0

How much wrapping is needed to cover a cubed gift box that is 9 inches high? (Include the bow which takes 115 sq. inches.)
486 square inches

115 square inches

601 square inches

259 square inches

Answers

Answer: 601 square inches

Step-by-step explanation: the surface area of the cube is 486 sq in. so add that with 115, you get 601 sq in.

Hope this helps!

Answer:

601 square inches

Step-by-step explanation:

Find the value of x.

Answers

Answer:

11

Step-by-step explanation:

All angles on a triangle equal 180. 80+60=140.

Now to solve for x, we set it to equal 40 for 180-140.

40=3x+7. 40-7=33

33=3x 33/3=11

x=11

Every triangle has to add up to 180 degrees. So if you already have 140 degrees, that’s what the 3x+7 has to add up to.

Help please I need it thanks

Answers

Answer:

Your answer is the first option, Lorenzo's icing will be darker!

Step-by-step explanation:

If they both added the same amount of yellow dye, than blue will determine how dark their icing is. Since Mariana added less blue, her dye will be lighter!

you have a bucket that contains 3 red baseballs , 4 white baseballs, and 5 green baseballs. you are going to pick out one baseball, leave it out, and then pick another baseball. what is the probability of picking out a white baseball followed by a green baseball?

Answers

Answer:

probably a 60%

Step-by-step explanation:

Answer:

5/44

Step-by-step explanation:

3 plus 4 plus 5 is 12 so for a white it is 4/12 or 1/3

then you take out the white baseball and you want a green which is 5/11 3 red 3 white 5 green

5/11 times 1/3 is 5/33

so the odds of picking both is 5/33

Someone please help! I’ll give brainliest!!

Answers

Answer:

The answer is 65.97 yd^3

Step-by-step explanation:

The volume of a cone is: v = [tex]\pi r^{2}\frac{h}{3}[/tex]

So, v = [tex]\pi[/tex](3^2)(7/3) = 65.97345 yd^3

What is the answer to this?

Answers

Answer:

Y = 28.31

Z = 13.29

Angle A = 28

Step-by-step explanation:

For Angle A:

Remember a triangle has a total of 180 degree angles. So set up your formula as

180 - 62 -90 = Angle A

For Y:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.  

sin (B) = opp/hyp or b/c or (y)

sinB = 62

b = 25

Rewrite as c=b/2SinB -> c=25/sin62 -> Y = 28.31

For Z:

Use the Pythagorean theorem to find the unknown side.

[tex]z^{2} = 28.31^{2} - 25^{2}[/tex]

z = 13.29

which of these expression is equivalent to -2(3-y)​

Answers

A. -6+2y

Step-by-step explanation:

-2×3-2×(-y)

multiply the numbers

-6-2×(-y)

multiplying two negatives equals a positive

-6+2y

Answer:

a

Step-by-step explanation:

-2×3=-6 -2×-y=2y so you awnser us -6+2y

Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot, how many tiles did he need?

Answers

Answer:

96 tiles

Step-by-step explanation:

The kitchen floor is rectangular on shape.

The dimensions of the kitchen floor were 8 feet by 12 feet.

Hence, Area of a rectangle = Length × Width

Length = 8ft

Width = 12ft

Hence:

Area = 8ft × 12ft

= 96 ft²

If each tile was 1 square foot, the number of tiles he would need is

1 ft² = 1 tile

96 ft² = x

Cross Multiply

1ft² × x = 96 ft² × 1 tile

x = 96 ft² × 1 tile/1 ft²

x = 96 tiles

Therefore, Mark's father would need 96 tiles

a . ) 4 - 2 x < 5 - x + 1
b . ) 4/3 x + 7 > 3
c . ) 2 x - 3 (x + 3) < 14

Answers

Answer:

a- x>-2

b- (in the picture)

c- x>-23

Step-by-step explanation:


[tex] \Huge \underbrace\mathbb{ \overbrace {question}}[/tex]

[tex] \boxed{ \mathsf{ \sqrt{81 \times 25 \times 4} }}[/tex]

Answers

Answer:

90

Step-by-step explanation:

[tex] \sqrt{81 \times 25 \times 4} [/tex]

Since,

[tex] \sqrt{a \times b \times c} = \sqrt{a} \times \sqrt{b} \times \sqrt{c} [/tex]

Hence,

[tex] = \sqrt{81} \times \sqrt{25} \times \sqrt{4} [/tex]

= 9 × 5 × 2

= 90 (Ans)

Answer:

[tex]\sqrt{81*25*4} =90[/tex]

Step-by-step explanation:

Thanks!!

Have a great day!!

Which statement about the opposite of a number is correct?
A. The opposite of 5 is 1/5
B. The opposite of 0 is 0.
C. The opposite of -5 is 0.
D. The opposite of -5 is 1.

Answers

Answer:

b

Step-by-step explanation:

because if u divide-5/-5 u will get 0 answer

Answer:

B

Step-by-step explanation:

HELP PLEASE!!! ILL GIVE BRAINLIEST!!!!!

Answers

Answer:

h= -128t

Step-by-step explanation:

- 16t+128t

-256t + 128

Please Help!!! What is x and do I find it?

Answers

X should be 8.917737906

I don’t know what you’re rounding to though, so round that as needed.

Find the value of 3^sqrt(100)


QUICKKKK PLEASEEEE

Answers

Answer: 59049 or 4.64

Step-by-step explanation: 59049 is the answer to 3^sqrt(100), but I wasn't totally sure if you meant ^3sqrt(100) or not so I solved both.

3^sqrt(100) = 59048

^3sqrt(100) = 4.64158

Need help

need an ace

Answers

Answer:

[tex]36[\cos{127^\circ}+i\sin{127^\circ}][/tex]

Step-by-step explanation:

Polar form:  [tex]z=r(\cos(\theta)+i\sin(\theta)[/tex]

To multiply two complex numbers in polar form, multiply the r values and add the angles.

[tex]w_1w_2=36\left[\cos{(95^\circ+32^\circ)}+i\sin{(95^\circ+32^\circ)}\right]\\\\=36[\cos{127^\circ}+i\sin{127^\circ}][/tex]

What is the perimeter, in centimeters, of the figure
shown below?
2 cm
3 cm
5 cm
5 cm

Answers

Answer:

30 cm

Step-by-step explanation:

add all sides and use 7 for the bottom line because 5+2=7 and use 8 for the side because 5+3=8.

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

51 degrees

Step-by-step explanation:

All right angles are 90 degrees and all triangles interior angles add up to 180.

39+90=129

180-129=51

The attendance office creates a bar graph to display the number of students tardy throughout the month. What is the range of the number of students tardy during the first five months of the year?

Answers

Answer:

60

Step-by-step explanation:

To find the range you subtract the highest and lowest value

The highest value on this graph is 105 from the month of May and the lowest value is 45 from the month of March.

When you do 105-45 you get 60 which is the range

TIMED TEST PLEASE HELP!!!!! Explain how you got the answer as well!

Answers

Answer:

Step-by-step explanation:

Perimeter= all sides added together

so in this case

3x+1 = 2x + 2x + x-1 + x+2 + x-1 + x + 2

now you may be wondering why i put two 2x's, two 2+x, and two x-1  , the far left side is 2x and has 2 lines and so does the bottom side which has 2 lines so theyre congruent ( the same case for the 2+x and x-1 )  so you need to account for all sides.

so lets simplify this huge equation!

3x+1 = 4x + 1x - 1 + 1x + 2 + 1x - 1 + 1x + 2

3x+1 = 8x - 1 + 2 - 1 + 2

3x + 1 = 8x + 2

-3x on both sides

1 = 5x + 2

-2 on each side

-1 = 5x

x = -1/5

Please help me
I really need to get this question right

Answers

Undefined, does not cross Y access

Answer: it should be undefined

Step-by-step explanation:

Una jarra contiene medio litro de gaseo-
sa, ¿cuántos vasos de 10 centilitros se
pueden llenar?​

Answers

5 vasos ya que en u litro cabe 100 entonces en medio ay 50 y 10 cabe 5 veses en el 50

When borrowing money from the bank, the amount of money originally borrowed is called the

Answers

Answer:principal. Amount of money originally borrowed in a loan. interest. Amount of money the borrower must pay for the use of someone else's money.

Step-by-step explanation:

Answer: The answer is principal

Step-by-step explanation:

It's in the definition of the word principal which means the amount f money originally deposited, borrowed, or loaned.

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