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
agasfer [191]
2 years ago
7

A) Write an equation in terms of x that represents the problem. (b) Solve the problem.

Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

Answer:

Part 1: (n÷2)-7 = -12

Part 2: n = -10

Step-by-step explanation:

Part 1:

Let's first write "the quotient of a number and 2" using numbers and variables. Let "n" represent "a number". The key word that we see here is quotient, meaning we have to divide something by something else. "The quotient of a number and 2 means that "a number" is the dividend (number that is divided) and "2" is the divisor (number that divides the dividend). Therefore we obtain:

n÷2

The first part says "seven less than the quotient of a number and 2". The keyword here is less, meaning we have to use subtraction. Therefore:

(n÷2)-7

The last part says "is equal to -12". Therefore the whole expression we just wrote is equivalent to -12:

(n÷2)-7 = -12

Part 2

Remember the Order of Operations:

Parentheses

Exponents

M/D: Multiplication/Division (whichever comes first in the equation)

A/S: Addition/Subtraction (whichever comes first in the equation)

Start by adding 7 to both sides

(n÷2) = -5

Then, multiply both sides by 2

\frac{n}{2}=-5\\n=-10

Note: I used a fraction to display the division because it is easier to see why we have to multiply both sides by 2; to cancel out the denominator.

You might be interested in
Explain ways on how to divide 52 from 8
raketka [301]
52÷8=6.5

This is because 8 can go into 52, six times then your decimal pops up.

8 0
3 years ago
Assume that there is a 150 year old law in the statutes of your state which makes kissing in a public graveyard a crime punishab
pickupchik [31]

Answer: Natural law.

Step-by-step explanation:

Natural law this is a theory which is based on ethics and philosophy which states that human beings possess intrinsic values which guide our reasoning and behaviors. Natural law stands to maintain that these rules of right and wrong are inborn in people and are not created by the society or court judges. An example of Natural law is that it is bad to kill someone, and it’s is right to punish whoever kills someone.

in the example cited above it is morally wrong to kiss or furnicate in a cemetery ground and as such falls under the natural law cause our sense of judgment should come into play there.

6 0
3 years ago
An acute triangle had two sides measuring 8cm and 10 cm what is the best representation of the possible range of values for tge
katrin2010 [14]
The third side must be >2 and < 18

To test if a triangle is acute, right or obtuse:
1) Square all 3 sides
2) Sum the squares of the 2 shortest sides
3) Compare this sum to side 3 squared
if sum > side 3 squared it is an acute triangle
if sum = side 3 squared it is a right triangle
if sum < side 3 squared it is an obtuse triangle

The shortest side 2 can be is "less than 2" so we'll say it is 2.00000001
three sides squared =
<span> <span> <span> 4.00000004 </span> </span> </span>
64
100
Summing the 2 shortest sides 4.00000004 + 64 = <span>68.00000004
</span><span>68.00000004 is less than 100 so it is an obtuse triangle no matter how long the third side is.

</span>
8 0
3 years ago
(GEOMETRY HELP) Given right triangle JKL, what is the value of cos(L)?
Evgesh-ka [11]
The answer is 5
_
13
6 0
3 years ago
Read 2 more answers
Compare simplifying before multiplying fractions with simplifying after multiplying the fractions
Kipish [7]
<span>We will start using a new way to indicate simplifying fractions. When a numerator or 
a denominator gets simplified, we will cross it out with a slash and write the new 
numerator or denominator next to it (either above it or below it).</span><span>The number you divide by (the 4) does not get indicated in any way! You only 
think about it in your mind: “I divide 12 by 4, and get 3. I divide 20 by 4, and get 5.”</span><span>You may not see any advantage over the “old” method yet, but this shortcut will 
come in handy soon.</span> <span />
5 0
3 years ago
Read 2 more answers
Other questions:
  • Tiana's Cafe offers two kinds of espresso: single-shot and double-shot.
    6·2 answers
  • tenley is making a square frame for her painting. she is using 4 pieces of wood that are each 2.75ft long. how much wood will Te
    6·1 answer
  • Find the slant height of this square pyramid 6 inches on each side
    9·1 answer
  • Harish has ruppees 80. he wants to buy toffees,8/5 ruppees. how many toffees can he buy?
    11·1 answer
  • What is 36,154 rounded to the nearest ten thousand?
    15·1 answer
  • If a function has a rule of y=5x+2 what is the output when the input is 4
    7·1 answer
  • Check all that apply
    9·1 answer
  • Sobre un cuerpo se aplica una fuerza de 30 N y se desplaza 8 metros; el trabajo necesario es equivalente a
    6·1 answer
  • Greatest to least thats the order they need to be in
    10·1 answer
  • HELP ME ANSWER THIS PLEASE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!