Answers
Answer:
LCD= x²- 81
Step-by-step explanation:
x²-81 is difference of two squares
a²-b²= (a+b)(a-b)
x²- 81= (x+9)(x-9)
denominators, (x-9) and (x+9)(x-9)
x-9 is common in both denominators
x-9|(x-9)|(x+9)(x-9)
x+9| 1 | x+9
| 1 | 1
therefore the LCD= (x-9)(x+9)
simplifying= x²- 81
Related Questions
Stacy is selling tickets to the school play. The tickets are $7 for adults and $4 for children she sells twice as many adult tickets as children’s tickets and brings in a total of $270. How many of each kind of ticket did she sell?
Answers
Stacy sold 15 children tickets and 30 adult tickets.
The tickets are $7 for adults and $4 for children.
She sells twice as many adult tickets as children tickets and bring in a total of $270.
Therefore,
let
number of children ticket sold = x
number of adult ticket sold = 2x
7(2x) + 4(x) = 270
14x + 4x = 270
18x = 270
x = 270 / 18
x = 15
The number of children ticket sold = 15
The number of adult ticket sold = 15 × 2 = 30
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A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
49%.
Step-by-step explanation:
2205 100 220500
........... x .......... = .................. = 49 (49%).
4500 1 4500
The theater filled up with 49% of seats with 6th grade students.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a middle school that took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
Assume that the theater filled up [x]% of seats at the theater. Then, we can write -
[x]% = (2205/4500) x 100
[x]% = 0.49 x 100
[x]% = 49%
Therefore, the theater filled up with 49% of seats with 6th grade students.
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Solve each inequality 5 + 5(x + 4) = 20
Answers
Answer:
5 x + 25 ≤ 20
Step-by-step explanation:
Simplify 5 + 5 ( x + 4 ) .
5 + 5 x + 20 ≤ 20
Add 5 and 20 .
2-6² +4 2
please help it's review for my finals
Answers
Answer: I don’t know :(
Step-by-step explanation:
Answer:
8
Have an amazing day!
A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at random. How many possible outcomes are there? O 3 0 5 O 6 O 14
Answers
Answer:
I think it would be 14 I hope it is right and it helps
A submarine descends 45 1/2 feet from the ocean surface , climbs 30 feet ,and then descends an additional 18 3/4 feet. What must the submarine do now to reach the ocean surface?
A. Descends 94 1/4 feet
B. Climb 94 1/4 feet
C Descends 34 1/4 feet
D.Climbs 34 1/4 feet
Answers
Answer:
D.Climbs 34 1/4 feet
Step-by-step explanation:
-45.5 + 30 - 18.75 + h = 0
h = 34.25
Susan loaned Marcel $19,080 at an interest rate of 17% for 5 years. How much will Marcel pay Susan at the end of 5 years? Round your answer to the nearest cent, if necessary.
Answers
Please help me I don’t want to fail
Answers
Answer:
c
Step-by-step explanation:
Help me solveee this
Answers
The angel given is 47 sooo x + 47=180
Orrrr you can do 180 - 47 = x which is better and then the answer will be 133
10. Flora rented a space at the flea market.
Her space included electricity.
Booth Space
each day:$25
Electricity:$2
Which expression gives the total cost of
the day's rental if she used h hours of
electricity?
A. 25-2h
B. 25 + 2h
C.(25+2) x h
D. 25h+2
Answers
Answer:
It is D
Step-by-step explanation:
I am not exactly sure how to explain but i'll try.
The 2 dollars is added to her price, so it is not A.
The 25 dollars is every day, so it is mutlipled by x. So its not B.
The 2 dollars is not everyday like the 25 dollars, so its not C b/c its not everyday.
16 #5) Describe the error in finding the value of x.
Answers
There is a line that includes the point (4, 1) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (4, 1 ) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
y = 7x
-14x + 2y = 0
The answer is no solution but please help with showing the work I’m stuck with it.
Answers
Answer:
-14x+2(7x)=0
-14×+14×=0
0=0
x = 5 => 0 . 5 = 0, y= 7 . 5 =35.....
Ok done. Thank to me :>
The students in Class A and Class B were asked how many pets they each have. The dot plots below show the
results
Students in Class A
Number of Pets
Students in Class B
What is the difference between the ranges in the dot plot
Answers
Answer:
The answer is 2
Step-by-step explanation:
The range of class A is 5-0 = 5
The range of class B is 3-0 = 3
the difference between 3 and 5 is 2.
9
00
8-
7+
6+
5-
3+
H
-9-8-7-6-5-4-3-2
2 3 4 5 6 7 8 9
-2+
-3+.
-4+
-5+
-6+
-7+
op -
what is the slope of the graph
Answers
Answer:
-5+
Step-by-step explanation:
Slope of the line passing through the points (1, 4) and (3, 2) is -1.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line passing through the points (1, 4) and (3, 2)
Plug in the points in the slope formula.
Slope = 2-4/3-1
=-2/2
=-1
Hence, slope of the line passing through the points (1, 4) and (3, 2) is -1.
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50pt Which of the following are maximum and minimum points of the function y=sin(x+ π)?
Answers
Answer:
none of the above
Maximum (3π/2, 1); Minimum (π/2, -1)
Step-by-step explanation:
The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...
y = -sin(x)
This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.
__
You might want to discuss this question with your teacher.
Answer:
The correct answer is C!
Step-by-step explanation:
The dude that said there’s no answer doesn’t know what he’s talking about.
What is the probability of getting an odd number on the first roll and less than 3 on the second roll? * choise 1/6 3/6 2/6 3/5
Answers
The probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of getting an odd number on the first roll is 3/6
since there are three odd numbers (1, 3, 5) out of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of getting less than 3 on the second roll is 2/6, since there are two possible outcomes (1, 2) out of six.
To find the probability of both events happening, we multiply the probabilities:
P(odd on first roll and less than 3 on second roll) = P(odd on first roll) × P(less than 3 on second roll)
= (3/6)× (2/6)
= 1/6
Therefore, the probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.
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Find the perimeter of a regular polygon with an interior angle of 90° and side length 3.5 ft.
Please be accurate and explain.
Answers
Answer:
p=14 ft
Step-by-step explanation:
The figure that meets these conditions is the square
The perimeter:
4(3.5) = 14 ft.
Hope this helps
A rectangular garden is 35m long and 25m broad. find the perimeter of the rectangular garden. find the length of wire required to fence with 2 round.
Answers
Answer:
The perimeter is the distance all round,
Step-by-step explanation:
perimeter of a rectangle is gotten by the formula
P=2(L+W)
2(35+25)=120m
The wire covers the distance all round
so we use 120m×2=240m
(2x35m)+(2x25m)=120m
120m is the perimeter
2 rounds : multiply 120m by 2
120 x 2 = 240m
1. What kind of interest does credit card P illustrate?
Answers
Answer:
Interest rates can come in all sizes, but for credit cards they generally fall into one of three categories:
variable rate, fixed rate and promotional rate. Most companies issue cards tied to revolving credit. Users of these cards are allowed to carry a balance on their accounts at the end of every billing cycle.Step-by-step explanation:
Hope this helps you !!Find the side of a rhombus if its diagonals are 14 and 48
(Use Pythagorean theorem)
Answers
Answer:
25
Step-by-step explanation:
Let,
Rhombus = ABCD
Diagonal = AC and BD
Mark its centre as O
Now,
AC = 2AO
AO = AC/2
AO = 48/2
AO = 24 cm
Also,
BD = 2BO
BO = BD/2
BO = 14/2
BO = 7 cm²
Now,
In ∆AOB
AB² = AO² + BO²
Here, AB is the side
AB² = (24)² + (7)²
AB² = 576 + 49
AB² = 625
AB = √(625)
AB = 25
A skydiver's speed during a free fall
reaches 165 feet per second. What is the
speed in meters per second? At this
speed, how many meters will the
skydiver fall during 4 seconds after the
jump? Assume that 1 meter is equal to
3.3 feet.
Answers
Answer:
Below in bold.
Step-by-step explanation:
1. 165/3.3 = 50 meters/second.
2. In 4 seconds the skydiver will fall 4*50 = 200 meters.
2. What conclusion can you make from each pair of true statements? State which law
logic you used.
a. If an animal is an omnivore, then it eats both plants and animals. Orangutans are omnivo
b. If an animal is a female mammal, then it produces milk. If an animal produces milk, it
nurse its young.
mammary gland
c. If a species is endangered, then it is likely to become extinct. Giant panda bears are
endangered
Answers
Answer:
tried my best!!!!!
Step-by-step explanation:
a) they eat both meat and palnts
b) it nurses its young,and feeds us beings
c) yes it is
WILL MARK BRAINLIEST The width of a table is 2 feet less than the length. The area is 20 square feet. Find the dimensions. Show and
explain all work using mathematical concepts in this module.
Answers
Answer:
length ≈ 5.583 ft
width ≈ 3.583 ft
Step-by-step explanation:
If we let x represent the length of the table in feet, then the width is (x-2). The area is ...
A = LW
20 = x(x -2)
Writing this in standard form gives ...
x^2 -2x -20 = 0
The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]
Of these values, the only one that makes sense is ...
length = 1+√21 ≈ 5.583 ft
width = length -2 ≈ 3.583 ft
Let width is x
length be x+2
Area=Length ×Breadthx(x+2)=20x²+2x=20x²+2x-20=0On solving
we get
x is around 3.58 or 3.6ft
Width=3.6ftLength=3.6+2=5.6ftIf sin ∅ = a/b then prove that (sec ∅ + tan ∅) = √b+a/b-a
Answers
Given that
Sin θ = a/b
LHS = Sec θ + Tan θ
⇛(1/Cos θ) + (Sin θ/ Cos θ)
⇛(1+Sin θ)/Cos θ
We know that
Sin² A + Cos² A = 1
⇛Cos² A = 1-Sin² A
⇛Cos A =√(1-Sin² A)
LHS = (1+Sin θ)/√(1- Sin² θ)
⇛ LHS = {1+(a/b)}/√{1-(a/b)²}
= {(b+a)/b}/√(1-(a²/b²))
= {(b+a)/b}/√{(b²-a²)/b²}
= {(b+a)/b}/√{(b²-a²)/b}
= (b+a)/√(b²-a²)
= √{(b+a)(b+a)/(b²-a²)}
⇛ LHS = √{(b+a)(b+a)/(b+a)(b-a)}
Now, (x+y)(x-y) = x²-y²
Where ,
x = b and y = aOn cancelling (b+a) then
⇛LHS = √{(b+a)/(b-a)}
⇛RHS
⇛ LHS = RHS
Sec θ + Tan θ = √{(b+a)/(b-a)}
Hence, Proved.
Answer: If Sinθ=a/b then Secθ+Tanθ=√{(b+a)/(b-a)}.
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Can i get some help with this inductive reasoning test, the answer and the explanation please. Thank you.
Answers
Answer:
8, 2.
Step-by-step explanation:
2*4 is 8 so I think line them up together and 12/6 is 2
2x+7y+7x=18
Find the value of Y
Answers
Answer:
y=−9/7x+18/7
Step-by-step explanation:
2x+7y+7x=18
9x+7y=18
Step 1: Add -9x to both sides.
9x+7y+−9x=18+−9x
7y=−9x+18
Step 2: Divide both sides by 7.
7y/7=−9x+18/7
y=−9/7x+18/7
Given :
2x + 7y + 7x = 18To Find :
The value of ySolution :
[tex]\qquad { \dashrightarrow \: { \sf{2x + 7y + 7x = 18}}}[/tex]
Adding the like terms :
[tex]\qquad { \dashrightarrow \: { \sf{ 7y + 9x = 18}}}[/tex]
Transposing 9y to the other side which then becomes negative :
[tex]\qquad { \dashrightarrow \: { \sf{ 7y = 18 - 9x}}}[/tex]
Dividing both sides by 7 :
[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{7y}{7} = \dfrac{18 - 9x}{7} }}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ y = \dfrac{18 - 9x}{7} }}}[/tex]
⠀
Therefore, the value of y = 18 – 9x/7 .
A student received scores of 85 and 78 on the first two exams. All exams have a maximum score of 100. What are the possible scores the student could receive on the third exam so that the average of the three exams is at least 80Write your answer in interval notation
Answers
Based on the information given, the student should score at least 77 in the last exam.
Since the student wants to get an average of at least 80. Therefore, the total scores should be:
= 80 × 3 = 240
The student received scores of 85 and 78 on the first two exams. The addition of this will be:
= 85 + 78 = 163
Therefore, his score in the last exam should be:
= 240 - 163
= 77
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It costs a man 75 dollars to buy the things that he needs to make hot dogs. The city allows him to sell his hot dog somewhere near the city hall. However, the city hall charges him 1 dollar for each hot dog sold
Calculate how many hotdogs he will have to sell in order to make a profit if the price he charges for 1 hot dog is $1.50.
Answers
x = 150
Explanation
Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Divide both sides of the equation by the coefficient of variable:
Remove the parentheses:
Calculate the product or quotient:
Answer: x = 150
I dont know if question 80 is right but i need help on question 79 and 80
Answers
Answer:
not sure about 80 but for 79, the answer is -185
Step-by-step explanation:
P(4)= (4)^3 - 4(4)^2 + 3(4) - 5
P(4)= 64 - 16^2 + 12 - 5
P(4)= 64 - 256 + 12 - 5
P(4)= -185
(sorry if i made a mistake)