perform the indicated operations
if
Answer:
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5} = \frac{3(3y + 2x)}{2x(y+5)}[/tex] If [tex]x \ne 0 \ \ or\ y \ne 0[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5}[/tex]
Required
Solve
First, we change / to *
[tex]\frac{x^2 - 9}{y^2 - 25} * \frac{3y^2 - 15y}{2x^2 - 6x} + \frac{3 - 1.5y}{y + 5}[/tex]
Apply difference of two squares
[tex]\frac{(x- 3)(x+3)}{(y - 5)(y+5)} * \frac{3y^2 - 15y}{2x^2 - 6x} + \frac{3 - 1.5y}{y + 5}[/tex]
Factorize:
[tex]\frac{(x- 3)(x+3)}{(y - 5)(y+5)} * \frac{3y(y - 5)}{2x(x - 3)} + \frac{3 - 1.5y}{y + 5}[/tex]
x - 3 cancels out:
[tex]\frac{(x+3)}{(y - 5)(y+5)} * \frac{3y(y - 5)}{2x} + \frac{3 - 1.5y}{y + 5}[/tex]
y - 5 cancels out
[tex]\frac{x+3}{y+5} * \frac{3y}{2x} + \frac{3 - 1.5y}{y + 5}[/tex]
[tex]\frac{3y(x+3)}{2x(y+5)} + \frac{3 - 1.5y}{y + 5}[/tex]
Take L.C.M
[tex]\frac{3y(x+3) + 2x(3 - 1.5y)}{2x(y+5)}[/tex]
Open brackets
[tex]\frac{3xy+9y + 6x - 3xy}{2x(y+5)}[/tex]
Collect Like Terms
[tex]\frac{3xy- 3xy+9y + 6x }{2x(y+5)}[/tex]
[tex]\frac{9y + 6x}{2x(y+5)}[/tex]
Factorize:
[tex]\frac{3(3y + 2x)}{2x(y+5)}[/tex]
Hence:
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5} = \frac{3(3y + 2x)}{2x(y+5)}[/tex] If [tex]x \ne 0 \ \ or\ y \ne 0[/tex]
Please help =/ And my heard hurt...
help asap, please :)
Answer:
it would 10 number of books cost dollar would be 30
Solve 1-3.Show and explain your work.
Answer:
-2
Step-by-step explanation:
remove 3 from 1 and are left with negative 2
please helppppppppppppppppppppppppppppppppppppppppppppp
The area of the square screen on my computer is 64 inches squared. What is the side length of my screen?
Answer:
I may be wrong but i think 12 but im not sure
Step-by-step explanation:
Answer:
Maybe 16
Step-by-step explanation:
Please help me with acellus
10.Admission to the Carnival is $4. Each game played costs an additional $2.
a) Write a relation to show how the total cost is related to the number
of games played.
b) Create a table of values to show the total cost if you play
0, 2, 4, 6, 8, or 10 games.
c)Graph the relation. Describe the graph.
d)Use the graph to answer these questions:
i)How much would it cost to play 5 games?
ii)How many games could you play for $26?
Answer:
y = 4 + 2x
Step-by-step explanation:
Answer:
here u go:)
Step-by-step explanation:
A local little league has a total of 65 players, of whom 40% are right-handed. How many
right-handed players are there?
Answer:
26 right-handed players
Use LCM/LCD to find the matching equivalent fraction for each of the following: 3/4 2/3 5/6 equal it to 10/12 8/12 9/12
please help me on this i have one more question after this
solve the equation -2y + 6 =-12
Answer:
[tex] - 2y + 6 = - 12 \\ - 2y = - 12 - 6 \\ - 2y = - 18 \\ y = \frac{ - 18}{ - 2} \\ y = 9[/tex]
Answer:
-2y + 6 = -12 (subtract 6 from both sides to get the y-term alone)
-2y = -18 (divide both sides by -2 to get y alone)
y = 9 (this is your answer)
Tree factories build the same widget. Th number of widgets produced in each factory are shown in the table.
TABLE
(Hours) (Factory A) (Factory B) (Factory C)
1 8 9 6
3 24 18 18
6 42 27 36
Only one of the factories produces widgets at a constant rate.
Which equation represents y, the number of widgets produced in x hours, for the one factory that produces widgets at a constant rate?
A. y = 3x
B. y = 6x
C. y = 8x
D. y = 9x
Answer:
1 8 9 6
y= 3x
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The amount of interest,Y paid on a loan is directly proportional to the amount borrowed. Write en equation if y=75 when x=500.
please do all four..:( if u do ily 4ever <3
Answer:
8. 343
9. -256
10. 256
11. 8/125 ( or 0.064)
what is 0.35 as a simplified fraction and why??
Answer:
7/20
Step-by-step explanation:
Answer:
0.35 7/20 35%
Step-by-step explanation:
Which of the following would you most likely measure in grams?
A. mass of a berry
B. mass of a watermelon
C. length of a berry
D. height of a watermelon
Answer:
A. mass of a berry
Step-by-step explanation:
I'm tiny brain thats why
Question 1 Find the variable y =
2y = -5
Answer:
y= -2
Step-by-step explanation:
im coooooooooooooooooooooooo
3x + 27
A. 3(x+9)
B. 3(9+x)
C. x(3+27)
Answer:
number a is correct answer
Answer:
3(×+9)
Step-by-step explanation:
AAAAAAAAAAAASAS
Write a story that represents the math problem 2/6 times 3/4
There is only 3/4 of a pie left. Two families decide to split the pie. There are 6 kids total, and they decide that each kid should get a sixth of what's left of the pie. One family has 2 kids, so how much pie will they get?
So 2/6 of 3/4 is 1/4 or .25
A roller coaster can accommodate 18 riders in 8 minutes. How long would it take for the roller coaster to accommodate 72 riders?
A . 24 min
B . 32 min
C . 48 min
I'll give brainliest to whoever answers right
Answer:
32 min
Step-by-step explanation:
18x4= 72 so then I multiply 8 by 4 and get 32
Helpppppppppppp!!!!!!!!!!!!!!!!
Answer: put a
Step-by-step explanation: put a
Answer:
e
Step-by-step explanation:
Explain how the addition rule for equations can be used to solve for t: t + 5 = 6.
Answer:
t=1
Step-by-step explanation:
6-5=1
Need help with math word problems
Answer:
a. 80%
b.-20%
c.24%
d.-5%
e. $210
Step-by-step explanation:
Step-by-step explanation:
a) $153 - $85 = $68
68 ÷ 85 = 0.8 × 100 = 80
80% increased.
80% of $85 is $68
b) $340 - $272 = $68
68 ÷ 340 = 0.2 × 100 = 20
20% decreased
20% of $340 is $68
c)78,616 - 63,400 = 15,216
15,216 ÷ 63,400 = 0.24 × 100 = 24
24% increased
24% of 63,400 is 15,216
d)2580 - 2451 = 129
129 ÷ 2580 = 0.05 × 100 = 5
5% decreased
5% of 2580 is 129
e) 75% of $120
75 ÷ 100 = 0.75 × 120 = 90
120 + 90 = 210
she sell it for $210
I hope its help u☆
I need help on this one thank you
Two more than the sum of a number and three is more than fifteen. (Write the equation and solve it)
X + 3 +2 > 15
Subtract 2 from both sides
X + 3 > 13
Subtract 3 from both sides ;)
X > 10
Answer:10
Step-by-step explanation:
X + 3 +2 > 15 would be the equation
First we Subtract 2 from both sides,which gives us this.
X + 3 > 13
Then we Subtract 3 from both sides
which gives us an answer of
X > 10
which we can also write as 10
I NEEDD IT NOW HELLLLPPPPP
Answer:
1.25
Step-by-step explanation:
What is the rate of change? Explain what it means.
A group of children go see a movie. Tickets are $8 each and they split a large popcorn. They spend a total of $34.50.
Please please please explain how you got the answer.
Answer:
Movie tickets cost $5 for children, $8 for adults and $4 for seniors.
The theater earned $1890 in a day. Five times as many adults attended as seniors.
Twice as many children attended as seniors.
Set up and solve a system of equations, to find how many of each type of ticket was sold.
"The theater earned $1890 in a day."
5c + 8a + 4s = 1890
"Five times as many adults attended as seniors."
a = 5s
Twice as many children attended as seniors."
c = 2s
5c + 8a + 4s = 1890
replace c with 2s; replace a with 5s
5(2s) + 8(5s) + 4s = 1890
10s + 40s + 4s = 1890
54s = 1890
s = 1890/54
s = 35 Seniors
then
a = 5(35)
a = 175 adults
and
c = 2(35)
c = 70 children
Step-by-step explanation:
Check solution
70(5) + 175(8) + 35(4) =
350 + 1400 + 140 = 1890; confirms our solutions
answer, 1890
Help plz!!!!!!!!!!!!!!!!!!
Answer:
n*8=24
Step-by-step explanation:
3*8=24
Adrian and Nicky earn weekly allowances doing chores over the summer.
•Adrian’s mom pays him $5 each week.
•Nicky’s dad pays her $20 at the beginning of the summer and $3 each week.
Give at least one difference between the graphs and the equations for these 2 situations.
Answer:
To start off, we have a two linear functions to deal with here.
The first starts off at (0,0) and goes linearly up $5 per 1 week or $1.4 per day
The second one starts off at (0,20) and goes linearly up $3 per 1 week or $2.333... per day.
So, the first difference is that Nicky's graph starts higher than Adrian's.
And the second Difference is that Nicky's graph has a lower rate of change than Adrians.
Hope that helped!