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
I am Lyosha [343]
3 years ago
10

*math please help* Simplify.

Mathematics
2 answers:
Ghella [55]3 years ago
3 0

Given : \frac{\frac{4x}{5 + x}}{\frac{6x}{x + 2}}

\implies \frac{4x}{5 + x}\times\frac{x + 2}{6x}

\implies \frac{2}{x + 5}\times\frac{x + 2}{3}

\implies \frac{2(x + 2)}{3(x + 5)}

\implies \frac{2x + 4}{3x + 15}

amm18123 years ago
3 0
\frac{ \frac{4x}{5 + x} }{ \frac{6x}{x + 2} } \\ = \frac{4x}{5 + x } ( \frac{x + 2}{6x} )
= \frac{4x^{2} + 8x}{30x + {6x}^{2} } \\ = \frac{2x(2 {x} + 4) }{2x(3 {x}+ 15)} \\ = \frac{2 {x} + 4 }{3 {x} + 15}
You might be interested in
Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18° ​
MArishka [77]
<h3>Answer:  cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

  • cos(94)cos(18) + sin(94)sin(18) = 0.24192
  • cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0
2 years ago
Sherry’s pay rate is $18.75 per hour; last week she worked 50 hours. Calculate her gross pay for the week.
saveliy_v [14]

Answer:

937.5

Step-by-step explanation:

$18.75 - 1 hour

$x. - 50hours

cross multiply the 18.75 with 50.

5 0
3 years ago
the dog needs a 1/3 of a cup of dog food each day. the bag holds 5 cups of dog food how many days will it last ?​
sleet_krkn [62]

Answer:

15 days

Step-by-step explanation:

You have 5 cups of food, and you give him 1/3 a day.

So, <em>5 divided by 1/3</em>, which would get you 15 days. Or you could cross-multiply, meaning you multiply across, but in this case I just made them line up so you can see how to do it.(food)/(cupsperday) = 5/\frac{1}{3} \\OR\\\frac{(food)}{1}*(cupsperday) = \frac{5}{1} *\frac{3}{1}

7 0
3 years ago
Common factors of 35 and 60
OLga [1]
Factors of 35: 1; 5; 7; 35
Factors of 60: 1; 2; 3; 4; 5; 6; 10; 12; 15; 20; 30; 60

<span>Greatest Common Factor GCF(35; 60) = 5</span>

4 0
3 years ago
Jamie is training for a race and is running laps around a field. If the distance around the field is 350 yards, how many complet
Feliz [49]
First convert 6 miles to yards. That would be 10,560 next divde it by 350 to get 30.1786 but you have to round it to the next lap. Therfore, youll have to run a total of 31 laps around the field.
6 0
3 years ago
Other questions:
  • The area of a blackboard is
    14·2 answers
  • Find S20 for the arithmetic series 8 + 16 + 24 + 32 +…
    10·1 answer
  • I'll give brainliest to who can answer this!
    6·1 answer
  • Which equation is equivalent to log (x+5) = 27
    7·1 answer
  • Sawyer picks a negative number. What is true about the opposite of his number?
    7·2 answers
  • The smaller the standard deviation, _______________________. Select one: a. the less variability it has b. the more variability
    11·1 answer
  • After a command economy is first created, a country often experiences immediate benefits. Which of the following benefits is NOT
    14·1 answer
  • Make x the subject in the relation
    8·1 answer
  • 4 birlik + 9 binlik + 1 yüz binlik + 9 yüzlük ten oluşan sayı?​
    15·1 answer
  • Which expressions are equivalent to (1/3x + 2x - 5/3x) - (-1/3x + 5)​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!