How do you simplify a fraction

Answers

Answer 1

Answer: Divide the numerator and denominator by the greatest common factor.

Answer 2

Answer: So each time you perform an operation on fractions and your answer ends up as an improper fraction, you will usually need to simplify your answer. The results will be in the form of a mixed number. So to convert an improper fraction into a mixed number, we just divide the numerator by the denominator.

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What are the solutions to the system of equations graphed below?

Answers

Answer:

(0,-4) and (2,0)

Step-by-step explanation:

you cut off the screen shot, so not all answer options are visible.

but from the graph we can pretty reliably deduct, that the solutions (the crossing points of both functions) are

(0,-4) and (2,0)

If lines ab and cd are parallel, which of the following statements are true? Check all that apply.

A. Ab and cd are skew lines
B. Ab and cd are perpendicular
C. Ab and cd intersect at a single point
D. Ab ll cd
E. Ab is perpendicular to cd
F. Ab and cd are coplanar

Answers

The correct answers are:
(D) ab ll cd
(F) ab and cd are coplanar

Explanation:
The symbol for parallel is " ll ". Therefore, if we translate the given sentence, ab and cd are parallel, into the Mathematical terms, we can write it as:

ab ll cd (Option D)

Where ab = line
cd = line

Furthermore, the lines ab and cd are coplanar because they form the plane. In other words, you can say that the lines ab and cd lie on the same plane. (Option F)

Hence the correct answers are:
(D) ab ll cd
(F) ab and cd are coplanar

If lines ab and cd are parallel, the following statements that are true are letters D, F.
D. Ab ll cd
F. Ab and cd are coplanar
The rest of the choices do not answer the question above.

A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answers

Answer:

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Step-by-step explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!

The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is

Answers

we know that

The LCD is the LCM (least common multiple) of all the denominators.

we have

$1/3, 3/4, 5/32, 8/9$

$3=3^(1) \n 4=2^(2) \n 32=2^(5) \n 9=3^(2)$

$LCM=2^(5) *3^(2) \n LCM=32*9\n LCM=288$

The LCM of $3, 4, 32, 9$ is $288$ ,

which is the multiple of the highest power of prime factors from all of the given numbers

therefore

the answer is

$288$

The LCD for the fractions $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ and $(8)/(9)$ is $\boxed{288}$ .

Further explanation:

The LCD (least common denominator) is least common multiples of denominators.

The least common multiple is defined as the smallest number that divides all the given numbers.

Prime factorization is defined as the factors of the given number are only prime number.

Prime number is defined as a numbers that has only two factors one and itself.

Given:

The given numbers are $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ and $(8)/(9)$ .

Explanation:

First we have to find the prime factors of the denominators of all the numbers.

The prime factors of $3$ can be expressed as,

$3 = {3^1}$

The prime factors of $4$ can be expressed as,

$4 = {2^2}$

The prime factors of $32$ can be expressed as,

$32 = {2^5}$

The prime factors of $9$ can be expressed as,

$9 = {3^2}$

The least common factors are ${2^5}$ and ${3^2}$ .

The least common denominator can be calculated as,

$\begin{aligned}\text{LCD} &= {2^5} * {3^2} \n &= 32 * 9\n&= 288\n \end{aligned}$

The LCD for the fractions $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ and $(8)/(9)$ is $\boxed{288}$ .

Learn more:

1. Learn more about addition of two numbers brainly.com/question/894273

2. Learn more about multiplication brainly.com/question/4892332

Answer details:

Grade: Junior School

Subject: Mathematics

Chapter: Number system

Keywords: prime numbers, Least common denominator, LCD, Least common multiple, LCM, divide, prime factors, factorization, Prime factorization, factors, fraction, $(1)/(3)$ , $(3)/(4)$ , $(5)/(32)$ , $(8)/(9)$ .

How do I do a,b,c, and d?

Answers

the probability is 25% of each and it depends which part was ripped off

Simplify 8 + 3{x - 2[x + 5(x + 3)]}.

-33x + 82
33x - 82
-33x - 82

Answers

Answer:

-33x - 82

Step-by-step explanation:

Use

PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

$1)\qquad5(x+3)=5x+15\n\n2)\qquad x+5(x+3)=x+5x+15=6x+15\n\n3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\n\n4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\n\n5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\n\n6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82$

Answer:

-33x - 82

Hope It Helps:)

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