Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8
The simplified expression is [tex]27/(16x^6y^8).[/tex]
We have,
To simplify the expression [tex]4(3x^2y^4)^3 / (2x^3y^5)^4,[/tex] we can simplify each part separately and then divide.
Let's simplify the numerator first:
[tex](3x^2y^4)^3 = 3^3 * (x^2)^3 * (y^4)^3 = 27x^6y^{12}[/tex]
Now, let's simplify the denominator:
[tex](2x^3y^5)^4 = 2^4 * (x^3)^4 * (y^5)^4 = 16x^{12}y^{20}[/tex]
Now we can divide the numerator by the denominator:
[tex](27x^6y^{12}) / (16x^{12}y^{20})[/tex]
To divide the variables with the same base, we subtract their exponents:
[tex]27/16 * x^{6-12} * y^{12-20}[/tex]
Simplifying further:
[tex]27/16 * x^{-6} * y^{-8}[/tex]
To make the exponents positive, we can move the variables with negative exponents to the denominator:
[tex]27/(16x^6y^8)[/tex]
Therefore,
The simplified expression is [tex]27/(16x^6y^8).[/tex]
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Firefighters need to cross from the roof of a 25-feet-tall building to the roof of a 35-feet-tall building by using a ladder. The buildings are 20 feet apart. What minimum length does the ladder need to be in order to span the two buildings?
Archer Middle School has 78 students playing soccer this year. This number is 6 more than 3 times the number of students who played last year. Let n represent the number of students who played last year. Which equation expresses an equality between two different ways of expressing the number of students who are playing soccer this year?
A: n + 6 = 78
B: 3n + 6 = 78
C: n - 6 = 78
D: 3n - 6 = 78
−2.4(m−2/3)=−9
Please help! I can't figure it out!
Answer:
−2.4(m−2/3)=−9 First you do the problem inside the parenthesis. Then figure out the answer for that and then -2.4 with whatever the answer was. then you will have the answer
Step-by-step explanation:
hope this hels
Answer: 4.416 (the 6 should have a line on top to show it goes on)
Step-by-step explanation:
Please help me with this question
Answer:
8 = 2^3, 52 = 2^2 * 13
Step-by-step explanation:
8 = 2 * 2 * 2 = 2^3
52 = 2 * 2 * 13= 2^2 * 13
Please help me
(????)
Answer:
c
Step-by-step explanation:
Pleas help wuickly with this question for studying for my math test
Answer:
D - 320
Step-by-step explanation:
You divide 48 by 15% and it equals 320 which is the starting value. To check your answer you take 15% out of 320 which gives you 48. Letter C is incorrect because 15% of 150 is 22.5. A and B are not correct because A is lower than the amount spent and there is no way that B would work because 15% of 55.20 is 8.28. Good luck with your math test!
Antony buys one pound of oranges for $12 and sells it for $14. How can he write the profit in his account book?
A.
+$2
B.
+$14
C.
$14
D.
-$2
E.
-$12
Answer:
A
Step-by-step explanation:
it is because the profit =SP-CP
=14-12 =2
give me the right answer please i will give u half of my points i have 320 pleaseee im in a test rn
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
i need help
I hate math guys
Answer:
4 * 2y + 4 * 1
4(2y + 1)
Distributive property
Step-by-step explanation:
8y + 4
We can factor out a 4 out of both as both are divisible by 4
8y / 4 = 2y
4 / 4 = 1
So 8y + 4 is the same as saying 4 * 2y + 4 * 1
This can be written as 4(2y + 1) which is written using the distributive property
10x > 14x + 8 (find the value of x)
Answer: The answer will be created shortly.
Find the missing value in each row. Use the percent equation.
Help me please---I'm so confused right now
Answer:
3.50 x 52 = $182 is the answer.
Answer:
$182
Step-by-step explanation:
If he keeps paying $3.50 each week on chips weekly, he will spend $182 on chips in 52 weeks.
Hope this helps.
Help please....If you can, draw on the attachments.
Answer:
Problem 3: Just 33 draw 4 boxes of 11 and one with 11
Problem 4: 30
Problem 5: Naomi
Step-by-step explanation:
For problem three since you are multiplying the same equation by 4 its basically (2+9)+3(2+9) so you can just cancel out the 2+9 from both and you are left with 3(2+9) which is just 33
For problem 4 100-(12x4)=52 and 10+(3x4) = 22 and when you subtract the two (52-22) you get 30
For problem 5 you get 18 with your equation and so since Carlos' equation gets 9 and Miranda gets 24 and Will gets 35 the only one left is Naomi which also gets 18 just like you.
i suck with this so can some one help
Step-by-step explanation:
[tex]sa = 2\pi(r)(h) + 2\pi{(r) }^{2} [/tex]
[tex]sa = 2\pi(5)(2) + 2\pi{(5) }^{2} [/tex]
[tex]sa = 20\pi + 50\pi[/tex]
[tex]sa = 70\pi[/tex]
PLS HELP ASAP DOING A TEST
A circular kitchen table has a diameter of 20 in. How much fabric is needed to cover the table top?
pia is planting flowers. The number of tulips she plants is 4 more than half the number of daisies
The expression that represents the number of tulips Pia planted is option A. x/2 + 4.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
Number of daisies planted is represented by x.
Number of tulips planted is 4 more than half the number of daisies.
Half the number of daisies is x/2.
4 more than half the number of daisies is x/2 + 4.
Hence the number of tulips planted is given by the expression x/2 + 4.
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The rule for a shape pattern is "square, triangle, circle, oval." What is the fiftieth shape?
Tell me if you need anything :)
Answer:
rectangle?
Step-by-step explanation:
Im not really sure but you can tell they have a pattern, for instance a square and triangle have sides while a circle and oval do not.
At the 50th place, triangle shape pattern is used.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
The square, triangle, circle, and oval pattern rules are listed.
The formula for the number of shapes (n) is:
In order to calculate the 50th shape, the following absolute operator is used,
Divide 50 by 4 and record the result,
4 divided by 50 leaves, 2 as the remaining.
This implies that, the shape at the 50th position is the same shape at the 2nd position.
In the 2nd position, the shape is circle, triangle.
Hence, the shape is triangle.
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which expression means “6 more than the quotient of a number and 5”
x/5+6 => expression means “6 more than the quotient of a number and 5”.
Option B is correct.
Here,
The expression that means "6 more than the quotient of a number and 5" can be written as:
(x / 5) + 6
In this expression, "x" represents the unknown number.
Let's break down the expression and explain it step by step:
(x / 5):
This part of the expression represents the quotient of "x" and 5.
It means that we divide "x" by 5.
(x / 5) + 6:
his means we take the quotient obtained in step 1 and add 6 to it.
It represents "6 more than the quotient of a number and 5."
Hence, x/5+6 => expression means “6 more than the quotient of a number and 5”.
Option B is correct.
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Douglas went to Charlies General Store to get gas. He paid $52.20 for 20 gallons of gas. How much would he have paid if he got 25 gallons instead
Answer:
65.25
Step-by-step explanation:
52.20 is the total for 20 gallons of gas
we divide 52.20 by 20 to find out the price per gallon.
52.20/20= 2.61 per gallon
for 25 gallons --> 2.61 x 25 = 65.25
Evaluate the equation.
3w = 96
A. w = 288
B. w = 32
C. w = -32
D. w = -288
Answer:
b
Step-by-step explanation:
when you bring 3 to the right side its not working so when you divide it (cause you don't want any numb with the w) you get 32 :)
Answer:
B
Step-by-step explanation:
3w=96
W=96/3
W=32
(PLEASE HELP, BRAINLIEST IF CORRECT)
Answer:
Dylan's speed 30
Mike's 20
Step-by-step explanation:
hope this helps you!
Does the following relationship represent a function?
Answer:
yes
Step-by-step explanation:
PLS HELP IM GONNA FAIL MATH
How long does it takes to walk around a circular pond that has a radius of 48 meters?
Answer:
This circumference of the pond is 2πr (or 2π48), which equals 301.44m(assumine pi is 3.14). How long it takes to walk around depends on the rate of speed.
PLS WILL MARK BRAINLIEST
Solve the equation for all values of x by completing the square.
x^2 + 6x – 27 = 0
Answer:
Solution
=3
=−9
x=3
x=−9
x=3x=−9
Step-by-step explanation:
Boom
Answer:
x=-9 and 3
Step-by-step explanation:
FOIL method
x^2+6x-27=0
Find the common numbers that multiply to 27 that will also equal 6.
(27x6) or (9x3)
the 6 is positive while 27 is negative so you need to use a + and - in the parenthesis.
then FOIL them
(x+9)(x-3)
FIRST: x*x=x^2
OUTSIDE: x*-3=-3x
INNER: 9*x=9x
LAST: +9*-3=-27
x^2(-3x9x)-27
x^2+6x-27
now that the equation matches you solve for x.
(x+9)=0 x=-9
(x-3)=0 x=3
720x + 10 = 2170
What is x?
Answer:
x = 3
Step-by-step explanation:
720x + 10 = 2170
=> 720x = 2160
=> x = 3
Hoped this helped.
Answer:
x = 3
Step-by-step explanation:
First subtract 10 from 2,170 to get 2,160.
Next isolate the x variable by dividing 720 on both sides to get x = 3.
Hope this helps you :)
Please help! This is due tomorrow!
[tex]\left(\dfrac 14 x -7 \right) - \left(\dfrac 34 x - 5 \right)\\\\\\=\dfrac 14 x -7 - \dfrac 34 x +5\\\\\\=x\left(\dfrac 14 - \dfrac 34 \right) -2\\\\\\=- x\left(\dfrac 24 \right) -2\\\\\\=-\dfrac 12 x -2[/tex]
Answer:
-1/2x-2
Step-by-step explanation:
Distribute the negative sign from the right side to make the equation positive
1/4x - 7 + (-1)(3/4x) + (-1)(-5)
(basically multiplying -1 to 3/4x and -5 to eliminate it)
1/4x - 7 + -3/4x+ 5
Make the equation similar
(1/4x + -3/4x) + (-7 + 5)
combine like terms
1/4x + -3/4x = -2/4x --> Simplifies to -1/2x
Do the other integers
-7 + 5 = -2
Put it together
-1/2x-2
please help me thank you
Answer:
90
Step-by-step explanation:
Multiply length times w times height
Also hi again
[tex]\huge \bf༆ Answer ༄[/tex]
Total surface Area of a cuboid is ~
[tex] \boxed{ \sf{2(lb + bh + lh)}}[/tex]
So, let's solve ~
[tex]2[(3 \times 5) +( 5 \times 6) + (6 \times 3)][/tex][tex] \sf2(15 + 30 + 18)[/tex][tex] \sf2 \times (63)[/tex][tex] \sf126 \: \: {ft}^{2} [/tex]Pls help me with this math.
Answer: Step 3 is wrong.
Step-by-step explanation: Michael changed the value of -6x to a positive 6x. He should keep the negative sign. This will change the solution into a positive instead of a negative 1/3.
HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS
Malik digs a hole at a rate of 2/3 feet every 15 minutes. After digging for 60 minutes, Malik places a shrub in the hole that fills exactly 5/6 feet of the hole. Relative to ground level, what is the elevation of the hole after placing the shrub in the hole? Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
15/6
Step-by-step explanation:
(20/9) ft of the hole is elevated after the shrub was placed.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : 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 and results of the given problemGiven is that Malik digs a hole at a rate of 2/3 feet every 15 minutes. After digging for 60 minutes, Malik places a shrub in the hole that fills exactly 5/6 feet of the hole.
In 15 minutes, the depth of hole digged is (2/3) feet.
In 1 minute, the depth of hole digged is {(2/3)/15} feet.
In 60 minutes, the depth of hole digged will be {(2/3)/15} x 60 = 8/3 ft.
The hole filled after placing the shrub will be -
(5/6) x (8/3)
5/6 x 8/3
5/3 x 4/3
20/9
Therefore, the (20/9) ft of the hole is elevated after the shrub was placed.
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