Anna is an avid reader. Her generous grandparents gave her money for her birthday, and she decided to spend at most $150.00 on books. Reading Spot is running a special: all paperback books are $8.00 and hardback books are $12.00. Anna wants to purchase at least 12 books.

1.) Write a system of inequalities to reach po represent the situation.

2.) Graph the region of the solutions to the inequality.

3.) Name two different solutions for Anna's situation.

Question

trancytarts trancytarts

03-12-2019
Mathematics

contestada

Anna is an avid reader. Her generous grandparents gave her money for her birthday, and she decided to spend at most $150.00 on books. Reading Spot is running a special: all paperback books are $8.00 and hardback books are $12.00. Anna wants to purchase at least 12 books.

1.) Write a system of inequalities to reach po represent the situation.

2.) Graph the region of the solutions to the inequality.

3.) Name two different solutions for Anna's situation.

Respuesta :

Otras preguntas

Simplify square root of 250 times Square root of 2

Yoru hat is ____ the floor

believes that sabotage is a rational response to the apartheid system.

Match the graph with its system. a. 667 b. c. Syco (x > 0 y 2-2 (y - x < 1 x < 3 x + y > 2 Sy < 2x + 1 (y 2 -x + 3 Sy = x <3 ly-x^2 10 d. e.

A hair dryer has a resistance of 11. 5. What current does it conduct when it is plugged into a wall outlet that provides 120 V? 0. 10 A 10. 4 A 109 A 1380 A.

Carbohydrates act as "ID cards" for cells. Where are they located? A.the exterior of cell walls B.inside of the nucleus C.attached to the rough ER D.embedded i

Electrical energy is sold by the kilowatt hour How much would it cost to heat a hot tub from 15 to 43

The writer wants to add an adjective before the word "traits" in sentence 13 (reproduced below) in order to improve the clarity of the claim pending on what tee

The rainforest contains half of the Earth’s wildlife and at least two thirds of its plant species. It can hold great quantities of water and is very important t

What is the medium of exchange?

brown78 brown78 · Answer 1 · 2019-12-09T20:49:15+01:00

Answer:

The solutions for 3 questions are explained one after the other below.

Step-by-step explanation:

1).Let x be the number of paperback books that she buys, y be the number of hardback books that she buys.

for the first condition, i.e, she has decided to spend at most $150.00 on books,the required inequality will be :

[tex]8x+12y\leq 150[/tex]

for the second condition , i.e, she wants to purchase at least 12 books,

the required inequality will be:

[tex]x+y\geq 12[/tex]

2). the graph is in the attachment..

3). x,y are the two required solutions. where,

x =number of paperback books she buys.

y=number of hardback books she buys.

jbiain jbiain · Answer 2 · 2020-03-25T02:07:08+01:00

Answer:

1) equations 1, 2, 3 and 4

2) see picture attached (the region of the solutions is in yellow)

3) x = 18.75 and y =0

y = 12.5 and x =0

Step-by-step explanation:

Let's call x the number of paperback books bought and y the number of hardback books bought.

She decided to spend at most $150.00. All paperback books are $8.00 and all hardback books are $12.00. Combining this information we get:

x*8 + y*12 ≤ 150 (eq. 1)

Anna wants to purchase at least 12 books. Mathematically:

x + y ≥ 12 (eq. 2)

On the other hand, both the number of paperback books bought and the number of hardback books bought must be positive, that is:

x ≥ 0 (eq. 3)

y ≥ 0 (eq. 4)

3) One possible solution is got if we make y = 0 and to take eq. 1 as an equality, then:

From eq. 1: x*8 = 150

x = 150/8 = 18.75

equations 2 and 3 are also satisfied

Another option is to make x = 0 and to take eq. 1 as an equality, then:

From eq. 1: y*12 = 150

y = 150/12 = 12.5

equations 2 and 4 are also satisfied