1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GalinKa [24]
3 years ago
8

Can anyone help me on this problem? Please it doesn’t make sense to me...

Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:

120/(n+24) = (120/n) -16

Multiplying by n(n+24) gives ...

120n = 120(n+24) -16(n)(n+24)

0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms

n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller

(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic

The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.

The woman bought 6 items.

_____

Check

When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.

You might be interested in
Uh- what is this?
Finger [1]

Answer:

i have no idea- Maybe A + C?

7 0
2 years ago
Read 2 more answers
chris is 3 years older than jacob. Nathan is 18 years old. two years ago the sum of all their ages was 59 years old how old is j
Lelechka [254]

           <u>Today</u>          <u>2 years ago</u>

Chris:   x + 3            (x + 3) - 2   = x + 1

Nathan: 18               (18) - 2       = 16

Jacob:   x                (x) - 2          = x - 2

Chris + Nathan + Jacob = sum

x + 1  +     16     +   x - 2   = 59

                            2x - 15 = 59   <em>added like terms (x and x) and (1, 16, and -2)</em>

                                   2x = 74   <em>added 15 to both sides</em>

                                     x = 37    <em>divided both sides by 2</em>

Answer: Jacob is 37 yrs old



3 0
3 years ago
What is john locke's ideas that affected government?
lapo4ka [179]

John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.

<h3>Who was John Locke?</h3>

John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.

<h3>What were his outstanding ideas?</h3>

Some of the most popular and important postulates of John Locke were:

  • The State's main mission is to protect the three natural rights: life, liberty and private property.
  • Individuals have a fourth right, the right to defend these rights, as well as any other individual freedom of citizens.
  • The citizen cedes some rights to the State through a written consensus or constitution.
  • The government must be made up of a king and a parliament. Parliament is where popular sovereignty is expressed and where laws are made that must be followed by both the king and the people.
  • He described the separation of legislative and executive power.
  • The authority of the State is sustained by the principles of popular sovereignty and legality.
  • Power is not absolute but must respect human rights.

Learn more about John Locke in: brainly.com/question/13346823

5 0
2 years ago
Need help asap. Will give Brainlyest
Bas_tet [7]
180°. The answer is 180° because it is a straight line rather than being curved/bent.
6 0
3 years ago
Please help square root math
pantera1 [17]

Answer:

2<∛13<3      1<∛6<2

Step-by-step explanation:

Lets find the integers a and b  ∛13 lies between.

a<∛13<b

a³<13<b³

=> a=2 so 2³=8   and b=3 so 3³=27    8<13<27

Similarly     a<∛6<b

a³<6<b³

a=1    and b=2

7 0
3 years ago
Other questions:
  • The sun produces 3.9 x 10^33 ergs of radiant energy per second. how many ergs of radiant energy does the sun produce in 3.25 x 1
    14·2 answers
  • Will give Brainliest!
    12·1 answer
  • If 24% of the sixth grade class is in Mrs. White's class, and Mrs. White has
    8·1 answer
  • 1)Solve G(x) for the given domain.
    6·1 answer
  • The diagram shows rectangle ABCD on a pair of aces. The lengths of its sides are 20 units and 5 units. The coordinates of point
    8·1 answer
  • Please help urgent!!!!
    13·1 answer
  • The midpoint of a line segment is the point halfway between the endpoints. true or false
    7·1 answer
  • Help me again I’m lazy again and giving brainliest if correct number 12
    10·1 answer
  • HELP PLEASE! ASAP PLEASE!
    5·1 answer
  • What percentage of the shape is orange
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!