Given:
Area of rectangle = [tex]6n^4+20n^3+14n^2[/tex]
Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex].
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex] is
[tex]6n^4=2\times 3\times n\times n\times n\times n[/tex]
[tex]20n^3=2\times 2\times 5\times n\times n\times n[/tex]
[tex]14n^2=2\times 7\times n\times n[/tex]
Now,
[tex]GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2[/tex]
So, width of the rectangle is [tex]2n^2[/tex].
Area of rectangle is
[tex]Area=6n^4+20n^3+14n^2[/tex]
Taking out GCF, we get
[tex]Area=2n^2(3n^2+10n+7)[/tex]
We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is [tex]2n^2[/tex], therefore length of the rectangle is [tex](3n^2+10n+7)[/tex].
Put these numbers in order from greatest to least.
7.8
6.3
6.61
6.4
HELPPP! PLEASEEEE, middle school is hard.
Answer:
a. sss
Step-by-step explanation:
Answer:
All it is asking you to do is chose which letters at the bottom prove that ADE=BCE. I would say none of them, but I don't really know. I know my explanation is a little unclear but I hope it will help you in some way.
Step-by-step explanation:
Solve for n
(40-2n)divided by 4=8?
Answer:
n = 4
Step-by-step explanation:
(40 - 2n) ÷ 4 = 8
10 - 0.5n = 8
-0.5n = 8 - 10
-0.5n = -2
n = 4
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
the correct answer is n=4
The Toys of Life store had 240 customers on October 24th. They had 264 customers on
October 25th. What was the percent increase in customers from October 24th to October 25th?
Answer:
24
Step-by-step explanation:
I think its 24 because 64÷20=40
these triangles are congruent by the triangle congruence postulate
Answer: SSS
Step-by-step explanation:
SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.
6) The wind blew away 35 of your muffins.
That was 5/6
of all of them! With how
many did you start?
Answer:
42 muffins
Step-by-step explanation:
In order to find the answer, you would divide 35 by 5/6 which would equal 42. So you started with 42 muffins.
Hope this helps and pls do mark me brainliest if you can:)
The ratio of men to woman working for a company id 5 to 8. if there are 208 woman working for the company, what is the total numbers of employees
The ratio 0f men to worm is 5 to 8, so for every 8 women there are 5 men.
Divide the total woman by 8 and then multiply that by 5.
208/8 = 26 x 5 = 130
There is 130 men.
Which graph has a rate of change of zero?
Answer:
graph #x
Step-by-step explanation:
where are the graphs
An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.
Answer:
Step-by-step explanation:
Given the equation y = 2,5x
y is the height of the water
x is the time.
To get the range of values of the height at t = 60s, we will substitute x = 60 into the function
y = 2.5(60)
y = 150 in
Hence the range of the situation is [0, 150].
The domain will be all positive integers i.e xEZ
Find the length indicated.
5) Find AB
Please help
Answer:
20
Step-by-step explanation:
Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.
Step-by-step explanation:
let the first-day ride be x
Then the second-day ride will be =1.5 x
The third-day ride will be=1.5(1.5x)
The Fourth-day ride will be=1.5*1.5(1.5x)
hence for the four days the distance covered is
65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x
65=x+1.5x+2.25x+3.375x
65=8.125x
divide both sides by 8.125 we have
x=65/8.125
x=8mile
the first-day ride be x=8miles
the second-day ride will be =1.5 x =1.5*8= 12miles
The third-day ride will be=1.5(1.5x) = 18miles
The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles
Select all the true statements. Group of answer choices The ratio of triangles to squares is 2 to 4. The ratio of squares to smiley faces is 6:4. The ratio of smiley faces to triangles is 6 to 4. There are two squares for every triangle. There are two triangles for every smiley face. There are three smiley faces for every triangle.
Answer:
The ratio of triangles to squares is 2 to 4
There are two squares for every triangle.
There are three smiley faces for every triangle.
Step-by-step explanation:
The number of triangles, smiley and squares are shown in the diagram attached.
From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.
A ratio compare two or more values, thereby showing how many times one number contains the other.
A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4
B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6
C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2
D) Correct. Since the ratio of squares to triangles = number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle
E) Incorrect. Since the ratio of triangles to smiley faces = number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces
F) Correct. Since the ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle
What is the slope of the graph shown below?
-3
7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7
-2
-3
-4
-5
-6
.7
A. -3
B. 4
C. 4/3
O D. 1/4
Answer:
2435
Step-by-step explanation:
The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer.
Answer: discrete
Step-by-step explanation:
The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.
How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?
Peyton recorded her height twice a year. She grew 5 1/4 inches in 3 1/2 years. What was Peyton’s average growth rate per year?
Height in which Peyton grew in 3 ½ years = 5 ¼ inches
Height Peyton grows each year =
= 5 ¼ ÷ 3 ½
= 21/4 ÷ 7/2
= 21/4 × 2/7 ( division of fractions is the same as multiplication with reciprocal )
= 42/28
Let us simplify this by dividing the numerator and denominator by 2 .
= 42 ÷ 2 / 28 ÷ 2
= 21/14
= 1 7/14 inches
Peyton's average growth rate per year was 1 7/14 per year . Let us simplify it .
= Both 7 and 14 are divisible by 2 .
So , 1 whole 7 ÷ 2 / 14 ÷ 2
= 1 whole 1/2
= 1 1/2
Therefore , Peyton's average growth rate per year was 1 1/2 inches .
Which choice best represents the sum of (5 + 8x - 3) and (9x - 6)
17x +-4
17x + 4
x + 14
x+ - 14
Answer:
17x−4
Step-by-step explanation:
Let's simplify step-by-step.
5+8x−3+9x−6
=5+8x+−3+9x+−6
Combine Like Terms:
=5+8x+−3+9x+−6
=(8x+9x)+(5+−3+−6)
=17x+−4
Expressions equivalent to (7^3 x^4)^0
Answer:
Step-by-step explanation:
Any number or variable to the power of 0 is 1
(7^3 x^4)^0 = 1
Math help please I have no idea how to solve this it’s confusing me I searched a video and I’m still confused :(
Answer:
57°
Step-by-step explanation:
A triangle's angles should all add up to 180°
So you have to add up the other two given angles, so in this case it is 60° + 63°, which equals 123°. Then you subtract 123 ° from 180°, giving you the answer of 57°.
Answer:
it's 57
Step-by-step explanation:
the 3 angles add up to 180 so add the 2 angles together to get 123 and then subtract that from 180
What is the slope-intercept equation
for the following line?
y = -2x + [?]
What is the intercept?
Answer:
y = -1/2x - 3
Step-by-step explanation:
Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2. The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'. Which statement describes E'F'? E'F' is perpendicular to EF. E'F' and EF are equal in length. E'F' is half the length of EF. E'F' is greater than twice the length of EF.
Answer:
The answer is " E'F' and EF are equal in length".
Step-by-step explanation:
By rotating that through some degree, a revolution is some kind of rigid transformation, which creates an image of the very same shape and size. There will be two main properties of the rotation:
Preservation of rotating scale (including sides and angles). The lines connecting the rotation center to the pre-image and the corresponding image point are of equal length.In each line, the segment is rotated counterclockwise 180 degrees around the origin to form E'F, that's why the above given choice is correct.
Answer:
The answer is " E'F' and EF are equal in length
Step-by-step explanation:
OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1
Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.
Table 3 is not a function because there is more than one input for each output.
Table 4 is an exponential equation with the equation y = 4x^2
Table 5 is not a function for the same reason as table 3.
Answer:
Yes! The answer is A and B. Or the 1st and 2nd ones.
Step-by-step explanation:
X+7
——-=9
3
Can you explain step by step on how to solve this problem?
Answer:
w=−7
Step-by-step explanation:
34+21=−11(w+2)
55=−11(w+2)
-55/11 =w+2
−5=w+2
−5−2=w
−7=w
A local mechanic charges customers a flat fee of $60 before any work is done in the rate of 85 per hour for labor which equation represents the relationship between the total charge for labor L in dollars and the number of hours worked h?
Answer:
im not sure but here u go 85x+60
Anthony received $150 for his birthday this year. This was $10 less than
half the amount he received last year. How much money did Anthony
receive for his birthday last year? write the equation and answer
Answer:
$140
Step-by-step explanation:
150-10=140
$140
HOPEFULLY IM RIGHT!!
Have A Nice Day!!!!
:)))
the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation
Answer:
Step-by-step explanation:
The length of the swimming pool is 8m longer than it's width.
If we say L = length, W = width
From the information above, we can say
L= 8 + w
We are also told the area is 105 m squared.
Note:
Area of a Rectangle = Length x Width
105 = (8 + w ) x w
[tex]105 = 8w + w^2\\[/tex]
Subtract 105 from both sides:
[tex]w^2 + 8w - 105 = 0[/tex]
For The 10% Of People That See This, Hope You Have The Best Day!
Answer:
Ah thank you, you too from me.
f(2) = ? pls helpppppp
Answer:
-2
Step-by-step explanation:
f(2): take the (2) from the f(2) because that's the x value.
you go to where it's 2 on the x-axis.
f(x)=f(2)
f(x)=y
so you are trying to find the y-axis number when you are at 2 on the x-axis.
whichhh is -2
which of these is correct? will give brainliest C:
Answer:
$7.50/lb answer A is correct
Step-by-step explanation:
Find the unit cost: $ per pound:
Calculate
$3.00
--------------------
(2/5) lb
It's slightly easier to calculate the equivalent
$3.00
------------- = $7.50/lb answer A is correct
0.4 lb
Answer: D. $1.20 per pound
Step-by-step explanation:
Because 2/5= 0.4 in a decimal form.
If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).
1.20= 1.2
5 points The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced? 15% G 25% 75% 40% OF O G OH OJ 5 points
Answer:
25 percent
Step-by-step explanation:
60*.25 is 15
60-15 is 45. it is 15 dollars off or 25 percent off