Answer:
[tex]\frac{n^{2}}{2a}[/tex]
Step-by-step explanation:
Just split it up first [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}[/tex] Then 9 divided by 18 can be simplified into the fraction 1/2What can go into [tex]a[/tex] and [tex]a^2[/tex] ? a itself right, so if you divide a by a you get 1, if you divide [tex]a^2[/tex] by a you get aSame as the a fraction, if you divide [tex]n^3[/tex] by n you get [tex]n^2[/tex] [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}[/tex]Answer:
(n^2)/2a
Step-by-step explanation:
We'll take this in small steps. Don't worry and follow along if you wish :D
Where do we start? Well, first, we notice that all of the numbers/variables (on both the denominator and the numerator) are multiplied by each other. If this case had addition or subtraction in the fraction, the explanation would have differed.
Let's take on a simpler example to show you what I mean. Here's a relatively simpler equation with no pesky variables:
(1 + 3)/4
This equation has to be broken down like this:
1/4 + 3/4
And although we could just do (1 + 3) quickly and divide by 4, consider it if we replace them with numbers instead, or variables in other words:
(x + y)/x
Then, it would work the same way as the previous example:
x/x + y/x
And that would further simplify to (1 + y/x).
But, we're lucky! Because there is no addition or subtraction, we won't have to divide all the numbers that are in the numerator with the number(s) in the denominator. Consider this:
(3*4)/4
We only need to divide 4 by the denominator (which is also four, in this case) and not both 3 and 4 like how we would solve if it had addition or subtraction.
First step! Let's take all of the variables out of this nasty equation we have on our hands to make it simpler:
(9an^3)/(18a^2n)
We would be left with...
9/18
And then we would reduce to leave 1/2. Notice that if we add all the variables back, we would have:
(1an^3)/(2a^2n)
Or (an^3)/(2a^2n)
If we write it out, we'll find this equation a tad bit easier with the large numbers dealt with (although I will admit, it doesn't look that great on the screen—lol)!
Back to business. Here, we need to simplify the variables. Given, we have to remember that variables are just your every-day number (but unknown). Because of that, we get to divide them very much like how we would with regular numbers. Rope in some of our previous lesson about not having to divide all the numbers on the numerator from the denominator from the beginning, too!
(an^3)/(2a^2n)
You can cancel out the variable a^ in this equation. That would leave you with:
(n^3)/(2an)
Try to simplify the rest on your own and use my work to check your answers! if you can't, then no worries. Follow along with me :D
We can also reduce using n. That will leave:
(n^2)/2a
And then you're done! I would recommend more questions like these (if you aren't already doing them) because you'll be using simplifying techniques similar to this equation in the future.
Good luck and keep studying!
Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?
A. Bernard ate a little less than One-half of the pizza.
B. Bernard ate a little more than One-half of the pizza.
C. Bernard ate a little less than Two-thirds of the pizza.
D. Bernard ate a little more than Two-thirds of the pizza.
Answer:
b
Step-by-step explanation:
what are the x and y intercepts of the function f(x)=x/x^2-3x
Answer:x and x2
Step-by-step explanation:
Determine x for the problem
Answer:
Step-by-step explanation:
2d^5(3d)^x=162d^9
I would assume x is 4 since the ending power is 9. When you multiply powers you add them.
2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2=
Answer:
..
Step-by-step explanation:
Will mark brainliest if I can.
Answer:
(0, -4)
(2,0)
Step-by-step explanation:
Basically x intercept is (0, -4)
Y intercept is (2, 0)
Hope I helped!
Diane walks 5 , 000 steps each day for exercise. Over the next year, her goal is to increase the number of steps she walks each day by 10 . Let f ( x ) represent the number of steps Diane plans to walk on day x since beginning her goal. What does f ( 100 ) = 6 , 000 represent? Select from the drop-down menus to correctly complete the sentence. Diane plans to walk steps on day since beginning her goal.
Answer:
Diane plans to walk [6,000] steps on day [100] since beginning her goal.
Step-by-step explanation:
10 x 100 = 1,000
5,000 + 1,000 = 6,000
100 days after adding 10 steps each day results in 6,000 steps
[tex]4x + 5y = 19 \\ x + 5y = 13[/tex]
I need some help putting it in ordered pair
What is the surface area of the cylinder?
175π ft2
224π ft2
273π ft2
126π ft2
Step-by-step explanation:
A=2πrh+2πr2 ans for 1 one
4y - 7 = 5x2 - x + 2 + 3y
Quadratic Equations
Options are No, One, Two.
I don't remember learning how to do it with more than a, b, and c variable. I'm so confused please help.
Answer:
y = 9 + -1x + 5x2
Step-by-step explanation:
Simplifying
4y + -7 = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
-7 + 4y + -3y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 4y + -3y = 1y
-7 + 1y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 3y + -3y = 0
-7 + 1y = 2 + -1x + 5x2 + 0
-7 + 1y = 2 + -1x + 5x2
Add '7' to each side of the equation.
-7 + 7 + 1y = 2 + -1x + 7 + 5x2
Combine like terms: -7 + 7 = 0
0 + 1y = 2 + -1x + 7 + 5x2
1y = 2 + -1x + 7 + 5x2
Reorder the terms:
1y = 2 + 7 + -1x + 5x2
Combine like terms: 2 + 7 = 9
1y = 9 + -1x + 5x2
Divide each side by '1'.
y = 9 + -1x + 5x2
Simplifying
y = 9 + -1x + 5x2
Question 1
(04.03 LC)
Which of the following options is an equivalent function to f(x) = 2(5)2X? (2 points)
a. f(x) = 50x
b. f(x) = 100x
c. f(x) = 2(25)
d. f(x) = 4(25)
Answer:
C is the correct answer
Answer:
the correct answer will be
c. f(x) = 2(25)^x
Step-by-step explanation:
Which of the following is an arithmetic sequence with common difference 2
Answer:
D
Step-by-step explanation:
The arithmetic sequence with a common difference of 2 is 13,15,17,19. The correct option is D.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
The common difference is equal to 2. The arithmetic sequence will be written as,
13,15,17,19
Therefore, the arithmetic sequence with a common difference of 2 is 13,15,17,19. The correct option is D.
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Please help I will mark Brainiest
Answer:
The rate of change is the slope
slope = 72/6 = 12
(0, 0) means zero pages have been printed in 0 minutes
(6, 72) means there have been 72 pages printed in 6 minutes
Step-by-step explanation:
The rate of change is the slope
slope = 72/6 = 12
(0, 0) means zero pages have been printed in 0 minutes
(6, 72) means there have been 72 pages printed in 6 minutes
is triangle MLK similar to Triangle GEF
Answer:
Step-by-step explanation:
ΔMLK and ΔGEF are not similar.
[tex]\frac{ML}{GE}[/tex] ≠ [tex]\frac{MK}{GF}[/tex]
I need help please, please help me it done tomorrow
Answer:
Step-by-step explanation:
6). 8 - x ≥ 3 ; x = 2
8 - 2 ≥ 3
6 ≥ 3 ( true) ⇒ Yes, x = 2 is the solution.
7). 15 ≤ 4w ; w = 3
15 ≤ 4(3)
15 ≤ 12 (false) ⇒ NO, w = 3 is not a solution.
Find the x and y intercept of the following equation. 10x - 3y = 9
Answer:
x-intercept= ( 0.9, 0)
y-intercept= (0,-3)
Step-by-step explanation:
Graph out the equation and look for the x and y intercept.
Sophia bakes 120 cookies in 6 hours. If she bakes the
same number of cookies every hour, how many does she
bake in 2 hours?
Answer:
40 cookies
Step-by-step explanation: She would bake 40 cookies in 2 hours because, if she baked 120 in 6 hours it would be like 6 + 6 = 12 but add the zero so yea
In the diagram, GB = 2x + 3..
Triangle F D E has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments F A, D C, E B. The length of line segment F G is 5 x and the length of line segment G A is x + 9.
What is GB?
5 units
10 units
15 units
30 units
Answer:
C) 15 units
Step-by-step explanation:
just got it right on edge
Answer:
c 15 units
Step-by-step explanation:
is my answer correct??
Answer:
no
Step-by-step explanation:
Answer:
you are correct!!
Step-by-step explanation:
The graph represents the amount a waiter earns over time.
According to the graph, what is the constant of proportionality?
A. The waiter earns $25 an hour.
B. The waiter earns $20 an hour.
C. The waiter earns $15 an hour.
D. The waiter earns $10 an hour.
Solve -11h − 27 ≤ 16h for h.
The Answer:
[tex]h \geqslant - \frac{27}{17} [/tex]
Answer:
h ≥ -1
Step-by-step explanation:
i took a quiz and got it right
hope this helps :)
Colleen is selling tubs of popcorn to raise money for the school choir. Her goal is to raise $150. Colleen starts with 40 tubs of popcorn, and she has already sold
3/4 of them. If each tub of popcorn sells for $3.75, how much more money does Colleen need to raise to reach her goal?
Colleen needs to raise $37.5 to reach her goal.
What is the arithmetic operation?In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.
The symbol of + represents addition.
The symbol of - represents subtraction
The symbol of × represents multiplication
The symbol of ÷ represents division.
The goal of Collen is 40 tubs.
3/4 of 40 = 30 tubs.
Money for 30 tubs
⇒ 30 × 3.75 = $112.5
She needs
$150 - $112.5 = $37.5
Hence " Colleen needs to raise $37.5 to reach her goal".
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Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
Answer:
B. 19 inches and 60 inches.
Step-by-step explanation:
Required
Select matching pairs
Represent diameter with D and Circumference with C
C is calculated as:
[tex]C = \pi D[/tex]
Where
[tex]\pi = 3.142[/tex]
A. D = 5m; C = 22m
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 5[/tex]
[tex]C = 15.71[/tex]
15.71 does not approximates to 22m.
Hence, the pair do not match
B. D = 19 in; C = 60 in
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 19[/tex]
[tex]C = 59.698[/tex]
59.698 approximates to 60.
Hence, the pair match
C. D = 33 cm; D = 80 cm.
Using: [tex]C = \pi D[/tex]
[tex]C =3.142 * 33[/tex]
[tex]C =103.686[/tex]
103.686 does not approximates to 22m.
Hence, the pair do not match
From the analysis above, only option B matches the diameter with the circumference
I need help pls !!!!!!
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Trigonometry.
here, we use the Linear pair property of the adjacent angles.
We know that, all the adjacent angles in a linear pair add to get 180°
so we get as,
=> (n+6) +90°+(2n+3) =180°
=> (n+6) +(2n+3) =180-90
=> 3n+9 = 90
=> 3n= 90-9
=> 3n = 81
hence, n = 81/3
=> n = 27°
thus the value of n is 27° .
Math help pleaseeeeeee
Answer:
c
Step-by-step explanation:
A laundry mat can clean five shirts in 20 minutes. What is the rate of shirts per hour?
Answer:
15 shirts in one hour
Step-by-step explanation:
there are 60 minutes in an hour, 20 times 3 is 60, 5 times 3 is 15
help plzzz I'm almost done
Step-by-step explanation:
7 and 4 are solutions the others not
* In your math class there are 2 boys for every 3 girls. Which of the following could be the ratio of boys to girls in the class? *
Answer:
the ratio is 2 to 3
Answer:
well if you had bigger number you would divide but you cant here it would stay the same
Step-by-step explanation: Hope this helps
pls help
A group of 8 people are picking up litter along a 4/5 km length of road. Each person is assigned an equal section of the road. How can you divide 4/5 km among 8 people?
Which expression is equivalent to 4/5÷ 8?
(4/10, 4/8 8/10, 8/5) ÷ 8
Each person picks up litter from a (1/10 2/5 4/5) km length of the road.
Answer:
A group of 8 people are picking up litter along a 4
5
km length of road. Each person is assigned an equal section of the road. How can you divide 4
5
km among 8 people?
Which expression is equivalent to 4
5
÷ 8?
✔ 8/10
÷ 8
Each person picks up litter from a
✔ 1/10
km length of the road.v
Step-by-step explanation:
Simplify.
(8) = 81
DONE
Answer:
What are we supposed to simplify? 8/81?
Step-by-step explanation:
Solve each system of equations.
2x- 4y = 20
x=4
Answer:
(x,y)=(4,-3)
Step-by-step explanation:
2x- 4y = 20
x=4
Substitute the value of x
2*4-4y=20
Solve equation
y=-3
A possible solution is
(x,y)=(4,-3)
Check the solution
2*4-4*(-3)=20
4=4
Simplify
20=20
4=4
The ordered pair is the solution
The solution of the given system of equations is y = -3.
What is the equation?A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
For example 5x + 4y = -8
Given the set of equations,
2x- 4y = 20
x=4
By substitution,
2(4) - 4y = 20
8 - 4y = 20
-4y = 20 - 8
-4y = 12
By multiplying by -1 both sides
4y = -12
By dividing 4 both sides
y = -3
Hence "The solution of the given system of equations is y = -3".
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