MATHEMATICS HIGH SCHOOL

Solve the equation. If there is no solution, write no solution. 2|n| – 12 = 16

Answers

Answer 1

Answer:

Add 12 to both sides

2|n| = 16 + 12

Simplify 16 + 12 to 28

2|n| = 28

Divide both sides by 2

|n| = 28/2

Simplify 28/2 to 14

|n| = 14

Break down the problem into these 2 equations

n = 14

-n = 14

Solve the 1st equation: n = 14

n = 14

Solve the 2nd equation: -n = 14

n = -14

When you collect all solutions;

n = ±14

Related Questions

20 hundreds equal how many thousands
-3a+6b=a+4b I need to solve this please.
30,45,x,100; The median is 51
Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.A. x + 10 = 6; x = -4B. x = 6 + 10; x = 16C. x + 6 = 16; x = 10D. x + 6 = 10; x = 4
2x + 3y = 15x + y = 6

1) what is the meaning of commutative property?2)what is the meaning of distributive property?
3)what is the meaning of associative property?

Answers

Commutative Property- is only applicable to addition and multiplication.
Like- a + b = b + a
That means we can swap numbers in addition.(The answer is the same)
a x b = b x a
That means we can swap numbers in multiplication.(The answer is the same)

Commutative is not applicable to subtraction and division as
a - b (is not) = b - a
And a / b (is not) = b / a

Distributive Property- Means we can distribute a number in to two parts and still get the same answer, applies to only addition and multiplication and-

Here lets take 2 and 4 as examples-

For addition-
2 + 4 + 3 = 9
(2 + 4) + 3 = 9

For multiplication-
2 x 4 x 5 = 40
(2 x 4) x 5 = 40

Associative Property- Means that you may change the order of the numbers but the answer is the same, much like commutative, its just that it applies to more than 3 numbers- (Addition and Multiplication only)

For addition-
2 + 3 + 4 = 9
3 + 2 + 4 = 9 also

For multiplication-
2 x 3 x 4 = 24
4 x 2 x 3 = 24 also

That's it!

Hope I helped!

$Communitive:a+b=b=a \n a*b=b*a \n \n Distributive:a(b+c) = ab+ac \n \n Associative:(1+2)+3=1+(2+3)$

Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, how many ounces of hot dogs is he buying?

Answers

Answer:

120

Step-by-step explanation:

multipy 30 by 4 and you should get 120.

You can even do 30+30+30+30 and it will also add up to 120.

Find the quotient.
48a 3 bc 2 ÷ 3abc
16a4b2c 3
16a2c
18a2c
16ac2

Answers

Answer: $16a^2c$

Step-by-step explanation:

Given division problem: $48a^3bc^2/48a^3bc^2$

It can be written as :

$(48a^3bc^2)/(3abc)$

Since, $48=3*16$

Divide 3 from numerator and denominator we get,

$(16a^3bc^2)/(abc)$

The division law of exponent says that

$(a^m)/(a^n)=a^(m-n)$

Therefore, $(16a^3bc^2)/(abc)=16a^(3-1)b^(1-1)c^(2-1)=16a^2b^0c^1=16a^2c$

Hence, $48a^3bc^2/48a^3bc^2=16a^2c$

48a^3 bc^2 / (3abc) = 16a^2c

I NEED HELP FAST. DUE TOMORROW

Answers

so it asks you to use the quadratic formula which is when you have ax^2+bx+c=0 then you put it into the quadratic formula which is x=((-b+-√(b^2-4ac))/(2a))

so 8x^2+3x=-7
add 7 to both sides
8x^2+3x+7=0

put into the quadratic formula
8x^2+3x+7=0
ax^2+bx+c=0
x=((-b+-√(b^2-4ac))/(2a))
x=((-3+-√(3^2-4(8)(7)))/(2(8)))
solve inside of square root first
3^2-4(8)(7)=pemdas 9-4(8)(7)=9-224=-215

so -3+-√-215
we know that square root of negative is not real and is immaginary so i must be involved
√-1=i so
-215=i√215
so the answer is A

CONTINUATION
i√215=i(15)=15i
-3+-15i means -3+ or minus 15i
then solve for botom part
2(8)=16
(-3+-15i)/16
so the answers are (-3+15i)/16 and (-3-15i)/16

A painter painted about a half a room in half a day. Coley estimated the painter would paint 7 rooms in 7 days Is Coley estimate reasonable? Explain

Answers

Yes, if the painter can pain 1/2 of a room in 1/2 of a day, then he can paint 1 room in 1 day. This is your unit rate.

Jake and mike took a different number of tests. jake scored 85 points on each test. mike's total score was 15 less than jakes total score. the following expression shows michaels score 85x-15 in the expression, what does the variable x represent

Answers

i am to believe that his score was 70.

since mike scored 15 less than 85 i had suspected it was 70

Other Questions

Which equation finds the volume of a cube with a side length of 6n^6 units? a. (2n^6)^3 = 8n^16 cubic units b. (2n^6)^3 = 2n^18 cubic units c. 2(n^6)^3 = 2n^18 cubic units d. 2(n^6)^3 = 6n^18 cubic units

Alfonzo is building a deck on his house. He was originally going to make it a square with a side length of x x feet. Alfonzo decides to make it a rectangular deck, with 1 foot added to one pair of opposite sides (now the width) and 2 feet added to the other pair of opposite sides (now the length). Part A Determine the expressions for the length and width of the new deck in terms of x x , the length of the sides of the original deck.

in a sale all the normal price is reduced by 15% the sale price of a suit is £110.50 work out the normal price

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