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
valentina_108 [34]
3 years ago
15

#2

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

You have the right idea that things need to get multiplied.

What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.

Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.

The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.

So we multiply the entire complex fraction by (5)(x + 6)(x -3).

Numerator: (\frac{1}{5} -\frac{5}{x + 6})(5)(x +6)(x-3) =\frac{1}{5}(5)(x +6)(x-3) -   \frac{5}{x + 6}(5)(x +6)(x-3)

= (x+6)(x-3) - (5)(5)(x-3)

= (x+6)(x-3) - 25(x-3)

= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3

= (x -3)(x - 19)

Denominator:

\frac{25}{x - 3} * (5)(x + 6)(x - 3) = (25)(5)(x + 6) = 125(x + 6)


Now we put the pieces together.


Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)

You might be interested in
Alexis washes 10 1/2 windows in 3/4 hours. At this rate, how many windows can she wash in one hour?
Zepler [3.9K]

Alexis can wash a total of 14 windows in 1 hour

<h3><u>Solution:</u></h3>

Given that Alexis washes 10\frac{1}{2} windows in \frac{3}{4} hours

<u><em>To find: </em></u>number of windows washed in one hour

To simplify the calculations we will convert the given mixed fraction to improper fraction

\begin{array}{l}{=10 \frac{1}{2}} \\\\ {=\frac{2 \times 10+1}{2}} \\\\ {=\frac{21}{2}=10.5}\end{array}

Hence, to wash 10.5 windows, Alexis takes 0.75 hours

Let "n" be the number of windows washed in 1 hour

10.5 windows ⇒ 0.75 hours

"n" windows ⇒ 1 hour

By cross-multiplication we get,

n \times 0.75 = 10.5 \times 1

n = \frac{10.5}{0.75} \\\\n = 14

Thus Alexis can wash 14 windows in one hour

4 0
3 years ago
65 million plus 4000
miv72 [106K]
65 million plus 4000 = <span>sixty-five million four thousand</span>
5 0
3 years ago
Read 2 more answers
What is the value of z for the equation
vitfil [10]
Z= -7
So your answer is number 2, -7
5 0
2 years ago
Pls help me so I can pass
Maru [420]

Answer: John Hancock Center is faster

Step-by-step explanation:

If the equation is y=30x and x represents seconds then multiply 30 and 60 to get the amount of feet travelled per minute which is 1800. If 1800>1400 then John Hancock Center has a faster elevator rate.

7 0
2 years ago
Read 2 more answers
A school newspaper will survey students about the quality of the
Novay_Z [31]
Method 2 is the least biased.

1) vegetarians are a select group, so they might have a certain biased perspective
2) if students are chosen randomly from every grade, all grades are included and there will be a variety of responses
3)not all students dislike the program, so it is an unfair representation
4)only students who have a strong opinion will complete the survey
3 0
3 years ago
Other questions:
  • Which ordered pairs in the form (x, y) are solutions to the equation
    13·2 answers
  • The degree of the polynomial f (x) is 3, and the degree of the polynomial g(x) is 4. Find the degree of the polynomial f (x) + g
    10·1 answer
  • Help a brother out answering his question​
    14·1 answer
  • What does it mean if your inference is valid
    12·2 answers
  • Helpppppppppppp.......​
    12·2 answers
  • Aditya installed solar panels for her house. When the solar panels produce more electricity than Aditya uses in a day, her net e
    5·1 answer
  • Please help with similarity
    8·1 answer
  • BRAINLIEST TO CORRECT QUICK
    7·1 answer
  • I need help with this one some one help pls
    12·2 answers
  • The number of gallons of gas Connie’s car, g, uses is directly proportional with the number of miles she drives, m. Last week, s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!