Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero.
Answers
Answer:
[tex]\frac{x}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Required
Solve
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Change the division to multiplication
[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]
Apply difference of 2 squares
[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]
Cancel out x - 3
[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]
Factorize 9x + 27
[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]
Cancel out x + 3
[tex]\frac{1}{9} * \frac{x}{1}[/tex]
Finally, this gives:
[tex]\frac{x}{9}[/tex]
Related Questions
what is the fornula for find arithemetic ewuation
Answers
Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
A coin is flipped 20 times. It lands on heads 11 times and tails 9 times. What is the theoretical probability that you will flip heads? Please show your work.
Answers
Answer:
11/20
Step-by-step explanation:
probability-- number of favourable outcome/ number of total outcome
probability--11/20
“Gas Additive A”
Additive: “A”
Values below Q1:
“-15, -4, -2”
Q1: “1”
Median: “3”
Q3: “4”
Values above Q3:
“5, 7, 8”
A consumer advocate conducted a test of a popular gasoline additive that was claimed to increase gasoline mileage in cars. For
a sample of 15 cars they used the additive and determined how many more miles the car could drive when the additive was added to the gas tank.
For example, a positive 10 would mean that the car drove 10 more miles with the additive whereas a-3 would mean that the car drove 3 fewer miles with the additive.
The table shows a few data values (of how many more miles a car could drive with the additve) along with some summary statistics.
Are there any striking deviations?
A.) -15
B.) -2
C.) 7
D.) 8
Answers
Answer:
A
Step-by-step explanation:
The land area of Charlotte, NC is approximately 3 x 102 square miles. There are 6.4 x 102 square acres in a square mile. How many
square acres are in the city of Charlotte?
A 1.92 x 105 square acres
B. 2.13 X 104 square acres
C 4.7 x 105 square acres
D 9.4 x 104 square acres
Answers
Answer:
2.13 X 104 square acres
Step-by-step explanation:
Divide 6.4 acres by 3 miles = factor of 2.13
Therefore the answer must be 2.13 X 104 square acres
SOMEONE HELP ME WITH THISS
Answers
Answer:
/_ 12 is the angle of depression from the firefighter to the second story window.
Step-by-step explanation:
Hope it helps!
#CarryOnLearning
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex] \angle 12[/tex] is the angle of depression from the second story window to the firefighter.
Please help (no links) or i will report you i just need answers
Answers
1. b=117°
2.c=67°
have an amazing day <3
If angle A and angle B aré supplementary this means that they add up to 180 degrees
180 degrees - 63 degrees leaves us with 117 degrees for number 1
2) 67 degrees
If angle C and angle D are complementary, this means they add up to 90 degrees
90 degrees - 23 degrees = 67 degrees
Hope this helps :)
For the following system, use the second equation to make a substitution for y in the first equation.
3x+y= 2
y+ 4 = 3x
Answers
Answer:
try mathpappa.com I love it so good.
A triangle has an area that is 125 m2. The measure of the base is 20 m so, h = ? m.
Answers
Answer:
12.5
Step-by-step explanation:
12.5 multiplied by 20 is 250 which you divide by 2 to get the area. it plugs in to the triangle area formula which is 1/2 base times height.
Answer:
Hello! answer: h = 12.5
Step-by-step explanation:
H = 12.5 because 12.5 x 20 = 250 then we divide by 2 and get our area 125. so h = 12.5
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answers
Answer:
B
Step-by-step explanation:
trust meh
Which situation CANNOT be represented by this equation? −13+15=9
Answers
Answer:
If you can please edit the question and give us the situation choices, we can help. (Answering this to hold my spot so some scammer doesn't answer). You can also comment them.
Help please. Need answers asap.
Answers
Answer:
a) 3
b) 30
c)48.8
don't forget to follow meThere are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it will take the population to reach 300. If necessary, round your answer to the nearest tenth.
The deer population will reach 300 in approximately _____
years.
Answers
Year 1. 165•1.12=184.8
Year 2. 184.8•1.12=206.976
Year 3. 206.976•1.12=231.813
Year 4. 231.813•1.12=259.63
Year 5. 259.63•1.12=290.785
Year 6. 290.785•1.12=325.679
Therefore it will take 6 years for the deer’s population to reach 300
am i correct if not pelase hep
Answers
Answer:
Step-by-step explanation:
12 feet
A customer satisfaction analyst wants to sample owners of a certain type of car to estimate what proportion of all owners are satisfied with that car. They will use the sample data to construct a one-sample z zz interval for the proportion, and they are considering two sample sizes: a large sample of n = 800 n=800n, equals, 800 for more accurate results, or a small sample of n = 200 n=200n, equals, 200 to save time and money. Assuming the sample proportion is the same in each sample, what is true about the margins of error from these two samples?
Answers
Answer: 1/2
Step-by-step explanation:
This is straight from Khan
ample size and margin of error
In a one-sample
z
zz interval for a proportion, the
margin of error
margin of errorstart text, start color #11accd, m, a, r, g, i, n, space, o, f, space, e, r, r, o, r, end color #11accd, end text is how far our interval extends above and below the sample proportion:
(
statistic
)
±
(
margin of error
)
p
^
±
z
∗
p
^
(
1
−
p
^
)
n
(statistic)
p
^
±(margin of error)
±z
∗
n
p
^
(1−
p
^
)
Since the sample size
n
nn is in the denominator, increasing the sample size will lead to a smaller margin of error.
Hint #22 / 3
Comparing sizes of margins of error
Let's look at each margin of error in terms of its sample size.
Smaller sample,
n
=
200
n=200n, equals, 200:
=
z
∗
p
^
(
1
−
p
^
)
200
error
margin of
=z
∗
200
p
^
(1−
p
^
)
start text, e, r, r, o, r, end text, start superscript, start text, m, a, r, g, i, n, space, o, f, end text, end superscript, equals, z, start superscript, times, end superscript, square root of, start fraction, p, with, hat, on top, left parenthesis, 1, minus, p, with, hat, on top, right parenthesis, divided by, 200, end fraction, end square root
Larger sample,
n
=
800
n=800n, equals, 800:
=
z
∗
p
^
(
1
−
p
^
)
800
=
z
∗
p
^
(
1
−
p
^
)
4
⋅
200
=
z
∗
1
4
⋅
p
^
(
1
−
p
^
)
200
=
1
2
⋅
z
∗
p
^
(
1
−
p
^
)
200
error
margin of
=z
∗
800
p
^
(1−
p
^
)
=z
∗
4⋅200
p
^
(1−
p
^
)
=z
∗
4
1
⋅
200
p
^
(1−
p
^
)
=
2
1
⋅z
∗
200
p
^
(1−
p
^
)
Even though
800
800800 is
4
44 times larger than the smaller sample, the margin of error from the larger sample is
1
2
2
1
start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.
Equivalently, the margin of error from the smaller sample is
2
22 times the margin of error from the larger sample.
Hint #33 / 3
Answer
The margin of error from the larger sample will be
1
2
2
1
start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.
Answer:
1/2
Step-by-step explanation:
Which expression is equivalent to..
Answers
Joy baked 2 pizzas and cut each pizza into 8 slices. Joy and her brother ate all but 4 slices of the pizza. Which equation can be used to find s, the number of slices joy and her brother ate?
2 x s = 8 x 4
2 x 8 + 4 = s
s = (2 + 8) - 4
8 x 2 = s + 4
Answers
Answer: 8 x 2 = s + 4
Solve 3x^2 if x is 10
By the way, the x is a variable
Answers
300 is your answer.......
what is the square root 165
Answers
Answer:
12.8
Step-by-step explanation:
Answer:
12.8452325787
Step-by-step explanation:
Brian has 2 fish ponds in his backyard connected by a waterfall The top pond
holds 24 gallons of water. The bottom pond holds 158 gallons of water. How many total
gallons do the 2 fish ponds hold?
Answers
Answer:
182 gallons of water
What’s the slope?? Please help!
Answers
Answer:
I believe the slope of the line is 5
Step-by-step explanation:
5 + 5 = 10
10 + 5 + 15
15 + 5 = 20
Hope this helps :)
Can someone answer number 24 step by step?
Answers
Answer:
=1
Step-by-step explanation:
log3(x+2)-log3(x)=1
Subtraction sign means you can divide the values inside the parintheses
log3(x+2/x)=1
split up the fraction into x/x and 2/x; x/x = 1
log3(1+(2/x))=1
Change of base - three to the first power = value in parintheses
3to1st=1+(2/x)
subtract 1 from both sides
2=2/x
divide both sides by 2
x=1
;)
I NEED HELP CLICK HERE PLEASE
Answers
Answer:
it is the one above the last one
Step-by-step explanation:
i hope it helps
Answer:
x-5
Step-by-step explanation:
when x=(a number) then you -5 you find 5 less then a number therefore x-5 is the anwser
15
What time is it 2 hours and 35 minutes after 2:45 p.m.?
OA. 5:20 p.m.
OB. 4:20 p.m.
C. 5:47 p.m.
D. 4:47 p.m.
Reset
Submit
Answers
Answer:
The answer is 5:20 p.m
Step-by-step explanation:
2:45 to 3:45 is 1 hour. 3:45 to 4:45 is 2 hours and add 35 minutes is 5:20 p.m
Carl can do a particular job in 4 hours. It takes Mike 7 hours to do the same job. Approximately how long will it take them to do the same job working together?
Answers
Answer:
28/11hr or about three hr
Step-by-step explanation
1/4+1/7=11/28
or 28/11 hr
Answer:
2 hours and 32.7 minutes. This is a good problem to become familiar with. It comes up in physics quite frequently.
Step-by-step explanation:
1 job/4 hours + 1 job / 7 hours = 1/x
1/4 + 1/7 = 1/x
(7 + 4)/28 = 1/x
11/28 = 1/x
x / 1 = 28/11
x = 2.54 hours repeating.
1 hour = 60 minutes
0.54 hours = x minutes
1/.54 = 60/x
x = 0.54 * 60
x = 32.7 minutes
Which of the following represent the numerical expression 2p? (c (Select all that apply.) 1: The product of 2 and p 2: Two more than p 3: Two less than p 4: Two groups of p 5: The quotient of 2 and p 6: Two multiplied by p
Whoever answer this question Get Mark Brainiest
Answers
Answer:
(1) The product of 2 and p (6) Two multiplied by p.
Step-by-step explanation:
The given numerical expression is 2p.
Here, 2 is a variable and p is a constant. 2 and p are getting multiplying. The multiplication of two numbers is called their product.
The product of 2 and p is equal to 2p.
Also, product of 2 and p.
Hence, the statement that represents 2p are : (1) The product of 2 and p (6) Two multiplied by p.
The volume of a cylinder of radius 14cm is 210cm”, what is the
curved and total surface area of the cylinder.
Answers
5km
Step-by-step explanation:
The required curved surface area =30.772 cm² and the total surface area = 1261.412 cm² for the cylinder.
The volume of a cylinder of radius 14cm is 210cm².
curved and total surface area to be determined.
The cylinder is defined as a 3D solid that keeps two identical bases joined by a curved surface, at a certain distance.
Here, Volume of cylinder(V) = 210 cm²
V=πr2h
h = V/πr2
h = 210/π*14²
h = 0.34105
Area of curved surface = 2πr*h
= 2*3.14*14*0.34
= 30.772 cm²
The total surface area of the cylinder,
A = 2πrh+2πr²
A = 2*π*14*0.34+2*π·*14²
A = 1261.412 cm²
Thus, The required curved surface area =30.772 cm² and the total surface area = 1261.412 cm² for the cylinder.
Learn more about cylinder here:
https://brainly.in/question/11560872
#SPJ5
what would be the area of the triangle if the base of the triangle is 6 pi long height is three units long
Answers
Answer: Area = 56.52 units
Step-by-step explanation:
Pi = 3.14
Area of triangle formula is base x height divided by 2.
6 (3.14) = 18.84
18.84 x 3 = 56.52 units
Can someone pls help me
Answers
Answer:
50.3 is the circumference
Step-by-step explanation:
Answer:
circumference = 50.2 in
Step-by-step explanation:
circumference = 2rπ
circumference = 8 x 2 x 3.14 = 50.24 in
Is 2.2, 4.5 and 6.7 a right triangle ?
Answers
Answer:
No
follow the pythagorean theorem and find out why . ..
100 POINTS AND BRAINLIEST. PLEASE HELP!!!!!! Ava’s watering can holds 2 liters of water. She uses 200 milliliters to water each of her plants. How many plants can she water if she fills the watering can two times?
Answers
Answer:
She can water 20 plants
Step-by-step explanation:
She has a total of 2 liters in each can, and if she uses 2 full cans, she has a total of 4 liters. 4 liters=4000 milliliters.
To find the amount of plants she can water, we need to divide the amount of water she has by how much it takes to water each plant. So,
[tex]\frac{4000}{200}[/tex]
[tex]=\frac{20}{1}[/tex]
[tex]=20[/tex]
So, she can water 20 plants with two full water cans.
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Answer:
20 plants
Step-by-step explanation:
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