Answers
Answer:
[tex]\displaystyle \mathbf{\frac{5}{(c+4)}}[/tex]
Step-by-step explanation:
Division of Rational Expressions
When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.
Let's find the following division:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}[/tex]
First, we factor the polynomials where possible.
[tex]c^2-64 = (c-8)(c+8)[/tex]
[tex]3c^2+26c+16=(3c+2)(c+8)[/tex]
[tex]c^2-4c-32=(c-8)(c+4)[/tex]
[tex]15c+10=5(3c+2)[/tex]
Substituting:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}[/tex]
Multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot \frac{5(3c+2)}{(c-8)(c+4)}[/tex]
Simplifying by (c+8)(3c+2)(c-8):
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}[/tex]
Answer:
[tex]\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}[/tex]
Related Questions
Help me with this question pleasseee
Answers
You just reverse it. Imagine folding the graph in half along the line. :)
I need help with this word problem it’s urgent please help.
Rubbing alcohol contains 70% isopropyl alcohol. Suppose you are adding 180ml of liquid that contains 45% isopropyl alcohol. How much liquid should be added of the higher concentration to obtain rubbing alcohol that is 70% isopropyl alcohol?
Answers
Starting with some solution of volume v and an alcohol concentration of 100c % , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + v.
Each mL of the starting solution contains c mL of alcohol. For example, if the concentration of the starting solution is 80% (so c = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.
Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.
You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning
cv + 0.45 (180 mL) = 0.7 (180 mL + v)
and you want to solve for v :
cv + 81 mL = 126 mL + 0.7v
cv - 0.7v = 126 mL - 81 mL
(c - 0.7) v = 45 mL
v = (45 mL) / (c - 0.7)
Judging by context clues, c lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)
If, for example, c = 0.8, so that your starting solution is at 80% concentration, then you would need
v = (45 mL) / (0.8 - 0.7) = 450 mL
to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.
As another example, if you're mixing pure alcohol, so that c = 1, you would need
v = (45 mL) / (1 - 0.7) = 150 mL
to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.
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Hel
Tim bought an antique vase 15 years ago for $25. Today, the vase is
valued at $1,200. Tim knows the increase in the value followed an
exponential growth pattern. Which equation can be solved to find r, the
rate of increase in the vase's value during the 15-year period?
Answers
Answer:
48%
Step-by-step explanation:
$1200 divided by %25 = 48%
Sally is creating a rectangular quilt and the length is equal to five inches less then the width. The perimeter is 30 inches. What are the dimensions of the quilt
A. Width=5 and length= 10
B. Width=30 and length= 5
C. Width=10 and length =5
D. Width= 5 and length =30
Answers
Answer:
It is C
Step-by-step explanation:
c is the only answer that makes sense because 10 is 5 more than 5 as the length so 5 is 5 less than 10.
The dimensions of the quilt are width = 10 and length = 5 which is the correct answer would be option (C).
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
The length of the quilt Sally is making is five inches shorter than the width. The perimeter measures 30 inches which are given in the question.
The perimeter of a rectangle = 2L + 2W
30 = 2L + 2W
L + W = 15
The length is equal to five inches less than the width.
So L = W - 5
Substitute the value of L = W - 5 in the equation L + W = 15
W - 5 + W = 15
2W = 20
W = 10
L = 5
Therefore, the dimensions of the quilt are width = 10 and length = 5.
Learn more about the Perimeter of the rectangle here:
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Surface area of cuboid 20 mm 8mm 11mm
Answers
Answer:
936mm^2
Step-by-step explanation:
Surface area of cuboid 20 mm 8mm 11mm
Surface area of the cuboid=2(20×8+8×11+11×20)
=2(160+88+×220)
=2(468)
=936mm^2
So the answer is936mm^2
Ella and some friends are going to a movie. Each movie ticket costs $5. Create an equation that shows the relationship between how many friends, n, attend the movie and the total cost in dollars, c.
2
Answers
Answer:
Step-by-step explanation:
Cost of one ticket = $ 5
Cost of 'n' tickets = 5 * n = 5n
c = 5n
Answer:
5n=c
Step-by-step explanation:
so we would times 5 with how many friends she has
That would be her total cost
what is the factorization of the polynomial below
-x^2 - 15x - 56
Answers
Answer:
Step-by-step explanation:
This is more easily understood if you take out a common factor of -1
-1(x^2 + 15x + 56)
7*8 = 56
7 + 8 = 56
-1 (x +8)(x+7)
please help ! 1 & 2 :)
Answers
Answer:
first one 401.76, second one 93.96
Step-by-step explanation:
Second One: 93.96
Hope this helps:))
Hallar el valor de las expresiones siguientes, alguien que sepa?
a). 532 x 0.184
b). 0.72183/0.0095
c). (18.65)^4
Answers
Answer:
a
Step-by-step explanation:
Alison has read 45% of her book. If she read 81 pages, how many pages are in the book? PLEASE HURRY!!!!
Answers
Answer:
Im not sure but I think it is 172! I hope this helped!!
Step-by-step explanation:
which would be the right answer????
Answers
Answer:
D
Step-by-step explanation:
If you know that a and b is parallel. And b and y is perpendicular, since a and b has similar features, then a and y should have similar features as well.
Same Logic:
a=b b=c
then a = c
Help me help me plz
Answers
Answer:
??????????????????????
there are 135 teams in a soccer tournament. each team has 32 players. how many soccer players in all are in the league
Answers
Explanation: Since there are 35 players on a team, you must find out how many players there would be if it was 35 times more so it would be 135 x 32 = 4320
mother had 1 1/2 dozen of eggs in refrigerator. she used 1/3 of eggs. what part of the eggs was used?
Answers
Answer: 1/2
Step-by-step explanation:
1 1/2 = 3/2
1/3 * 3/2 = 1/2
The estimated quotient of 718/6 is
72
80
90
120
Answers
120
Step by step explanation:
Just got it right on quiz
The value of y varies directly
Which function represents the
relationship between x and y if y =
14 when x =
7/2
Answers
Answer:
Step-by-step explanation:
Answer is 7/3
The function that represents the relationship between x and y is (y = 4x) and this can be determined by using the given data.
Given :
The value of 'y' varies directly with 'x'.If y = 14 when x = 7/2.The following steps can be used in order to determine the function that represents the relationship between x and y:
Step 1 - According to the given data, the value of 'y' varies directly with 'x'. So, the mathematical expression for this situation is:
[tex]y \; \alpha \; x[/tex]
y = kx --- (1)
Step 2 - It is also given that the value of y = 14 when x = 7/2.
Step 3 - Now, substitute the value of 'y' and 'x' in the above expression.
[tex]\rm 14=\dfrac{7}{2}\times K\\[/tex]
K = 4
Step 4 - Now, substitute the value of K in the expression (1).
y = 4x
For more information, refer to the link given below:
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Please Help! Knowing the negative sign (–) also means "opposite", how do you we read this expression, -8 • 2?
Answers
Pedro opened a deli in December. The table shows his profits and losses during his first four months of business. Month Profit/Loss ($) December + 724.37 January + 3,912.26 February - 1,051.51 March - 4,023.02 What is the overall profit or loss for the first four months the deli was open?
Answers
Answer:
437.90
Step-by-step explanation:
you add the negative numbers together, then the positive numbers. you take the answers from those and subtract them from each other.
The overall loss for the first four months the deli was open is $-437.90.
A firm has a profit when its income is greater than the cost. A loss is recorded when income is less than the total costs. A profit is represented with a positive sign (+) and a loss is represented with a negative sign (-).
In order to determine the overall profit or loss for the first four months add profits and subtract losses.
+ 724.37 + 3,912.26 - 1,051.51 - 4,023.02 = $-437.90.
Costs exceeds revenue so the Deli earns a loss of $437.90.
To learn more about addition, please check: https://brainly.com/question/349488
Choose the appropriate descriptor for the term gram per centimeter cubed .
mass
area
volume
density
Answers
Answer:
Density
Step-by-step explanation:
The gram per centimeter cubed is a unit of density in the CGS system, normally used in chemistry, defined as mass in grams divided by volume in cubic centimeters. The official SI symbols are g/cm3, g·cm−3, or g cm−3.
Please helpppppp NEED ANSWERS ASAP
Answers
Answer:
Step-by-step explanation:
if i new i would tell you but im haveing the same problem
nick bakes 17,064 pies for Thanksgiving. His store sells 13,582 pies. how many pies does he have left
Answers
Answer:
3482
Step-by-step explanation:
17,064- 13,582
Write the equation of a line that goes through the point (-1,3) and has a slope of 5
Answers
A store sells a package of 25 trading cards for $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than $1. What is the unit price per card?
Answers
Answer:
21 cent per card
Step-by-step explanation:
5.25 / 25 = .21
because 25 can be divided into the first 2 numbers
The S.S. Minnow leaves port (whose coordinates are (0, 0)) and heads out to sea for a three hour cruise. The route the Skipper has decided to follow is the curve y Vi. There is a lighthouse at a point 3 miles directly east of the port (which is at the origin). At what point is the Minnow closest to the lighthouse? V2 y=2 -2 x
Answers
Answer:
cool
Step-by-step explanation:
Find the slope of the graph of the equation
-6x – 12y = -24. Write equation in slope-
intercept form, then be clear and specify
the slope.
Answers
Answer:
y=-1/2x+2
Step-by-step explanation:
slope is -1/2 beware this is a negitive slope so it goes down like this \
go one up and go to the left 2 times and connect the dots
Please anyone know the answer
Answers
Answer:
what is the question?
Step-by-step explanation:
i dont see it hehe
Answer:
What’s the point of teh question may be tell us what you need help with....?
Step-by-step explanation:
Somebody give me some info on how to use this thing i need help
Have a great day!! :)
Answers
Answer:
You too
Step-by-step explanation:
I don't know either, so we are in the same boat.
If C = m + 1 and B = m + 5, find an expression that equals 2c + 3B in
standard form.
Answers
Answer:
Step-by-step explanation:
2c+3b=2(m+1)+3(m+5)=2m+2+3m+15=5m+17
thanks
The expression 2 C + 3 B equals 5 m + 17 in standard form
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given data ,
The value of C = m + 1
The value of B = m + 5
To calculate the value of 2 C + 3 B , substitute the value of B and C in the expression , we get
2 C + 3 B = 2 ( m + 1 ) + 3 ( m + 5 )
= 2 m + 2 + 3 m + 15
= 5 m + 17
Therefore , 2 C + 5 B = 5 m + 17
Hence , the expression 2 C + 3 B equals 5 m + 17 in standard form
To learn more about linear equation in standard form click :
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3. 5 points
(2) There are two shades of light blue paint getting mixed. Mixture A is made with 5 cups of blue paint and 2 cups of white paint. Mixture B is made with 10 cups of blue paint and 6 cups of white paint. Which mixture is a lighter shade of blue? *
Mark only one oval.
Mixture A
Mixture B
Both make the same shade of blue.
With an explanation please.
Answers
Answer:
Mixture B
Step-by-step explanation:
For questions 8-11, solve for x.
Answers
Answer:
Bruh
Step-by-step explanation:
Im so confused.... lol im not any help
What you're looking for is to simplyfy the like terms and then isolate the variable. So basically, write everything down and solve it like normal. We know that straight lines are worth 180° and right angles are 90° so that's what's gonna be on one side of the equal sign, and all the other numbers on the other side. Like this:
8.
180 = x + 1 + 3x + 9
180 = 4x + 10
170 = 4x
42.5 = x
If it's hard to see what I'm doing, just write the first part out and solve like regular algebra then check if you got the same answer.
Good luck :)