Change the following mixed expressions to fractions and then simplify the complex fractions.
Answers
Answer:
[tex]\frac{3(a-7)}{4x(a-4)}[/tex]
Step-by-step explanation:
One is given the following expression:
[tex]\frac{2a^2-9a-35}{12x^3}*\frac{9x^2}{2a^2-3a-20}[/tex]
The most logical first step to solve this equation is to factor it. Rewrite each quadratic equation as the product of two linear equations. Unfortunately, no additional explanation can be provided. To prove that the product of the two linear terms are the factors of the quadratic term, one must distribute and simplify,
[tex]\frac{2a^2-9a-35}{12x^3}*\frac{9x^2}{2a^2-3a-20}[/tex]
[tex]\frac{(2a+5)(a-7)}{12x^3}*\frac{9x^2}{(2a+5)(a-4)}[/tex]
Now simplify this expression, then cancel common terms in the numerator and denominator,
[tex]\frac{(2a+5)(a-7)}{12x^3}*\frac{9x^2}{(2a+5)(a-4)}[/tex]
[tex]\frac{9x^2(2a+5)(a-7)}{12x^3(2a+5)(a-4)}[/tex]
[tex]\frac{3(a-7)}{4x(a-4)}[/tex]
3(9-7)
4x(a=4)
Related Questions
The student council is making and selling square patchwork quilts to raise money for the homecoming dance. Which of the following number of squares can be used to create a square patchwork quilt? Justify your answer using three complete sentences.
A. 35 B. 84 C. 64 D. 18
Answers
Answer:
64
Step-by-step explanation:
For the area of the quilt to be square, the number of "Squares" must be a square number. You must be able to take the square root and get an integer
35 is not a perfect square
84 is not a perfect square
64 is a perfect square sqrt(64) = 8
Answer:
the awnser is simply B. 84
Step-by-step explanation:
Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.
Answers
(4x^2+2x+1)(2x-1)
(2x-1) cancels out so
2x-1
4^2+2x+1
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Answers
Answer:
3 quadrant
3 quadrant
2 quadrant
2 quadrant
1 quadrant
4 quadrant
4 quadrant
3 quadrant
3 quadrant
2 quadrant
2 quadrant
1 quadrant
4 quadrant
4 quadrant
3 quadrant
Please help im giving 25 points
Answers
Answer:
4/15
Step-by-step explanation:
[tex]6\frac{3}{5} -6\frac{1}{3} \\\\\frac{33}{5} -\frac{19}{3} \\\\\frac{99-95}{15} =\frac{4}{15}[/tex]
4/15
(Decimal: 0.266667)
Step by step: =33/5 - 6 1/3
=33/5 - 19/3
=33/5 + -19/3
=4/15
=4/15
I WILL MARK AS BRAINLIEST! Solve the following
Answers
Answer:
6)
a. x=35
b. x=4
c. x=30
Step-by-step explanation:
6a) 7/9=x/45
7/9×45=x
7×45/9=x
315/9=x
35=x
x=35
————————
b. 10/8=5/x
5/4=5/x
5/4x=5(the x is in the middle of the division sign here)
5x/4=5(the x is NOT in the middle of the division sign)
5x=5×4
5x=20
x=20/5
x=4
———————
c. x/34=15/17
x=15/17×34
x=15×34/17
x=510/17
x=30
hope that helped you. I can't answer number 7, I'm sorry
Hope it helps
I will try to give braniliest
Can the following question be considered a statistical question, and why?
For how many hours does each student at Bryan Middle School sleep? (1 point)
Yes, it has a single answer
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses
Answers
Answer:
the answer is C :)
Step-by-step explanation:
Help please
......................
Answers
=3500x + 15y [multiplying the equation by 100]
= 700x + 3y [dividing the equation by 5]
2. Let x be an even integer
x + (x+2) + (x+2+2)
x+x+2+x+4
3x+6
3. 1/5*(r+7) - 9s
(r+7)/5 - 9s
4. x=cows
y= goats + sheep
x= (y+140)/2
35x + 0.15y
=3500x + 15y
= 700x + 3y
2. x + (x+2) + (x+2+2) ----> x+x+2+x+4 ----->3x+6
3. 1/5*(r+7) - 9s -----> (r+7)/5 - 9s
4. x=cows and y= sheep+goats
Answer/x= (y+140)/2
3/2 = 5d - 1/2
solve for d
Answers
Answer:
D = 2/5 or 0.4
Step-by-step explanation:
3/2 = 5d - 1/2
move the terms
3/2 - 5d = -1/2
calculate the difference
-5d = -2
divide both sides by -5
2 = 2/5
3/2 = 5d - 1/2
+1/2 +1/2
2=5d
divide both sides by 5
D = 2/5
please help thank u!!
Answers
Answer:
[tex]2x^3-3x+4+\frac{5}{3x-5}[/tex]
Step-by-step explanation:
Use polynomial; long division to divide the two polynomials. Remember to put each polynomial in standard form, or rather organize each polynomial by their degree (exponent). The polynomial with the highest exponent will go first, then each with its varying exponent will suceed.
_____[tex]\underline{2x^2\ \ -\ \ 3x\ \ +4}[/tex]
[tex]3x-5[/tex] | [tex]6x^3 - 19x^2+27x-15[/tex]
[tex]\underline{-6x^3+10x^2}[/tex]
[tex]-9x^2+27x[/tex]
[tex]\underline{+9x^2-15x}[/tex]
[tex]12x-15[/tex]
[tex]\underline{-12x+20}[/tex]
[tex]5[/tex]
Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.
Answers
Step-by-step explanation:
I'm not sure but the simplified answer is 13/511 or what am I supposed to do
Help me Guess just help please
Answers
Answer:
the answer is irrational
Answer:
the answer is irrational
at the mall, myna bought a shirt for 25.36, a hat for 5.09 and a belt for 11.45. how much did she spend altogether?
Answers
Answer:
41.90
Step-by-step explanation:
25.36 + 5.09 + 11.45 = 41.90
Answer:
25.36+5.09+11.45= 41.9
Step-by-step explanation:
Determine the surface area of the cylinder below.
351.9 m2
301.6 m2
251.3 m2
452.4 m2
Answers
4x4xpi= 50.2654m2
251.3274+50.2654= 301.59m2 (if you round it to 1 decimal place, then it will = 301.6m2)
Answer: 301.6m2
PLS HELP IM SO CONFUSED ON THIS AND IT DUE THID MORNING I JUST NEED HELP plsss 30 points
Each move below can be “undone” by another move. For example to undo translating 3 units to the right, you could translated 3 units to the left. What move undoes each of these?
Translate 5 units up
Translate 1 unit up and 2 units left
Rotate 90 degrees clockwise about the origin
Reflect over the y-axis
Answers
How to undo 1 unit up and 2 units left: go 2 units right and 1 unit down
How to undo 90 degrees clockwise: go 90 degrees counter clockwise
How to undo a reflection over the y axis: reflect against the y axis again
1 unit down, 2 units right
Rotate 90 degrees counter-clockwise
Reflect over the y-axis again.
number 27 pls snsinusnisbihwbhwbihbsyigsyuvwuhbwuhbwhi sorry i have to write 20 characters
Answers
(2, 4.50)
(5, 10.50)
(8, 16.50)
Domain is : 1, 2, 5, 8
Range is : 2.50, 4.50, 10.50, 16.50
If you would explain your answer, that'd be great, but you can just answer it if you want
Answers
Explanation:
1) domain is all possible x values the graph covers so you can see the arrows point bot direction meaning it will go on forever
2) range is all possible y values so the graph goes all the way up but stops at -4 when going down, but it doesn’t touch 4 so it’s a parenthesis not a bracket (which is used when it’s equal to that number)
3) as x increases in number from negative to positive than y is also increasing (based on the graph)
4) as x decreases it stops a -4 but and doesn’t pass this y value ( it’s finding the limit)
5) x intercept is when y=0
6) y intercept is when x=0
Hope this helps!!
When this 3-digit number is rounded to the nearest hundred it rounds down to 600. The digit in the ones place is the third odd number that you count beginning with 1. The sum of the digits is 13. What is the number?
Answers
Answer:
1. rounds down to 600 = 601 - 649
2. The digit in the ones place is the third odd number that you count beginning with 1. = 605
3. The sum of the digits is 13
Answer:
625
Step-by-step explanation:
Firstly, I found the ones place because I just needed to know the third odd number starting from 1. The first odd number is 1 then 3 and then 5, so I know that the digit in the ones place is 5.
Ones place: 3rd odd number: 1, 3, 5
Then, I looked at the hundreds place, because I know that it is rounded to down to 600 in the nearest hundred, I know it has to be 649 or smaller and bigger than 600. In the range of 600-649, the hundreds place remains the same, and therefore I know that the digit in the hundreds place is 6
Finally, to determine the tens place, I can do 13-(6+5) I can do this because I know that the sum of the digits is 13. Because 13-11=2, I know that the digit in the tens place is 2
Final number: 625
find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4) K(5,-3)
Answers
Answer:
ee
Step-by-step explanation:
e
A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of green results for 240 trials.
Red Orange Yellow Green Blue
15 17 16 18 14
18
36
54
72
Answers
Answer:
I'd guess 54
Step-by-step explanation:
If the sections are all equal sized, there's an equal chance the arrow/spinner would land on them. If you divide 240 by 5, you get 48. The closest number to 48 is 54.
I WILL MARK BRAINLIEST! Solve for X and Y
Answers
See the images. I hope it will help you.
To find the average of a student’s test scores, add the scores and divide by the number of tests. Suppose Ryan scored 85, 92, 88, and 98 on four tests. Write a numerical expression to describe Ryan’s average test score.
Answers
The slash means to divide. So you’re making a fraction with all the scores on top and the number of scores on the bottom.
Answer:
(85+92+88+98)/4
Step-by-step explanation:
No equal sign because it is a numerical expression.
Which expression is equivalent to
2x +(-7) - 2x - (-2)?
Answers
Answer:
-5
Step-by-step explanation:
Jeremy wants to make cookies. He makes some cookies, then eats 5 of them. He splits
the remaining amount into 3 equal portions and decides to give one portion to his mom
and one to his dad, and keep the last one to himself. He then makes 10 more cookies for
himself, before counting his cookies to find he has 17. How many cookies did Jeremy
make at the beginning?
Answers
Answer:
The answer is 36 cookies.
Step-by-step explanation:
Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies. The rest of the class gets nothing and begins to collectively cry. How many cookies were in the batch, to begin with?
Answers
Answer:
36
Step-by-step explanation:
After dylan took half of the cookies and 6 were left there were
12 before he took any
Than If Koji took a 3rd when 12 were left there were 18
Than if Paige took a 1/4 of what was left when there were 18 there were 24
This same pattern is the same for the next 2
24+6 = 30 and than 30+6 = 36
TLDR;
remove 6 per person meaning there were 36 to begin
Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies then the batch initially had 432 cookies.
Mrs. Balbas baked a batch of cookies for her math class.
1. Aaron takes 1/6 of the cookies:
If "C" represents the initial number of cookies, Aaron takes (1/6)C cookies, leaving (5/6)C cookies.
2. Matthew takes 1/5 of the remaining cookies:
Matthew takes (1/5)(5/6)C = (1/6)C cookies, leaving (5/6)C - (1/6)C = (2/3)C cookies.
3. Paige takes 1/4 of the remaining cookies:
Paige takes (1/4)(2/3)C = (1/6)C cookies, leaving (2/3)C - (1/6)C = (1/2)C cookies.
4. Koji takes 1/3 of the remaining cookies:
Koji takes (1/3)(1/2)C = (1/6)C cookies, leaving (1/2)C - (1/6)C = (1/3)C cookies.
5. Dylan takes half of the remaining cookies:
Dylan takes (1/2)(1/3)C = (1/6)C cookies, leaving (1/3)C - (1/6)C = (1/6)C cookies.
6. Gavin takes the last 6 cookies:
The remaining (1/6)C - 6 cookies are taken by Gavin.
7. The rest of the class gets nothing, leaving 0 cookies.
Now, let's add up the amounts taken by each student:
- Aaron: (1/6)C
- Matthew: (1/6)C
- Paige: (1/6)C
- Koji: (1/6)C
- Dylan: (1/6)C
- Gavin: 6 cookies
Adding all these together, we get:
(1/6)C + (1/6)C + (1/6)C + (1/6)C + (1/6)C + 6 = (5/6)C + 6
Since the remaining cookies are accounted for,
we know that (5/6)C + 6 = 0, which gives us C = 432.
Therefore, the initial batch had 432 cookies.
To know more about Initial Batch here
https://brainly.com/question/31873990
#SPJ3
Please refrain from answering just for the points
Answers
the answer is even number.
I beg you, HELP MEEEE!!!!! One spinner is divided into four equal sections numbered 1 to 4. A second spinner is divided into five equal sections numbered 5 to 9. How many total outcomes are there if both spinners are spun?
13
9
20
36
Answers
Answer:
9 is the correct answer
7+ ? ×5+9=66 what is the answer
Answers
Answer:
? = 10
Step-by-step explanation:
7 + ? × 5 + 9 = 66
Treat ? as a variable, and solve for ?.
5? + 16 = 66
5? = 50
? = 50/5
? = 10
Identify square root of 3 as either rational or irrational, and approximate to the tenths place.
Answers
Answer:
It is an irrational number, [tex]\sqrt{3}[/tex] as a decimal rounded to the tenth place is 1.7
Step-by-step explanation:
All square roots are irrational numbers
In complete sentences, describe how Spain established territorial claims in the Caribbean and South America. Include these terms in your answer: Christopher Columbus, conquistadors, Hernán Cortés, Francisco Pizarro.
PLEASE help me
Answers
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble and then a green marble?
PLEZZ ANSWERE QUICKLY!!
10%
9.6%
64%
16%
Answers
Answer:
I think 64%
Step-by-step explanation:
6+9+10 = 25
25x4 = 100
6x4 = 24
10x4 = 40
24+40 = 64
64/100 = 64%
Sry if this is wrong but I think this should be correct
Answer:
c
Step-by-step explanation:
looks right, sorry if I’m wrong!
