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
You are making your grandma's cookie recipe for the class.
garri49 [273]

Answer:

it's 28 because

2:8

4:16

6:24

7:28

so there are 28 tablespoons in 7 cups to make Grandmas cookie pie

5 0
3 years ago
Determine the values of x when f(x)=40 for the function f(x)=2(x-3)^2-8
SpyIntel [72]

Answer:

x = 3 ± \sqrt{24}

or

x = 3 + \sqrt{24}, x = 3 - \sqrt{24}

Step-by-step explanation:

given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40

So, we plug in 40 for f(x) in the 1st equation and solve for x.  (Aim to got x on its own)

40 = 2 (x - 3)^2 - 8

+ 8          + 8

-----------------------------

48 = 2 (x - 3)^2

/2            /2

-----------------------------

24 = (x - 3)^2

square root both sides

--------------------

\sqrt{24} = x - 3

x = 3 ± \sqrt{24}

5 0
2 years ago
You bought a pumpkin pie for Friendsgiving. At the end of the part 6/8 of the pumpkin pie was left. The host decided to share ou
ExtremeBDS [4]
The correct answer is D
6/8 divided by 4 is 3/16
6 0
2 years ago
Read 2 more answers
Ishaan is 3 times as old as Chris and is also 14 years older than Chris. How old is ishaan?
hram777 [196]

Answer:We are also given that Ishaan is 14 years older than Christopher, so I is also 14 more than c. This gives that I = c + 14. Since I = 3c and I = c + 14, we have that 3c is equal to c + 14, giving the equation 3c = c + 14.

well this is from google and just so u know the letters stand for the names

8 0
3 years ago
What is 6000 x 999897
vlada-n [284]
<span>5999382000 is the answer</span>
3 0
3 years ago
Other questions:
  • X/10 + 1 + 1 + 1 = 20
    14·1 answer
  • Help Please
    12·2 answers
  • -1+3-5+7-...+97-99 plz help me
    11·1 answer
  • A rectangular piece of paper with length 35 cm and a width 18 cm has two semicircles cut out of it as shown below
    9·1 answer
  • If x=5,then3x+4x-15 equals
    13·2 answers
  • 3х + 2 +(-5)? I need help pls
    6·1 answer
  • Dallas was told to run around the perimeter of the high
    5·1 answer
  • Pls Help, Thanks
    6·1 answer
  • Sarah babysits her neighbor's son to make money. Her earnings can be represented by the equation
    8·2 answers
  • The Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924 \pi square fee
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!