Answer:
2 feet
Step-by-step explanation:
By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.
How to get the width of the walkway?
Remember that the area of a rectangle of length L and width W is:
A = L*W
In this case, we know that the dimensions are:
Length = 8ftWidth = 12ftNow, if we add a walkway of width x all around the garden, the new dimensions of the garden are:
Length = 8ft + 2xWidth = 12ft + 2xNow with these dimensions, the area is 192 ft^2, then we can write:
192 ft^2 = (8ft + 2x)*(12ft + 2x)
Now we need to solve that for x:
192 ft^2 = 96ft^2 + 4x^2 + 40ft*x
0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x
0 = 4x^2 + 40ft*x - 96ft^2
This is a quadratic equation, the solutions are given by Bhaskara's formula:
[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]
Notice that we have two solutions, but we only care for the positive one, so we take:
x = (-40ft + 56ft)/8 = 2ft
So the width of the walkway must be 2ft.
If you want to learn more about quadratic equations, you can read:
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i dont know how to solve plz help
Answer:
[tex]x^2+2x+1[/tex]
Step-by-step explanation:
When given the following expression,
[tex](x+1)(x+1)[/tex]
One must multiply every term in one of the parenthesis by every term in the other, thus, the resulting expression formed,
[tex](x)(x)+(1)(x)+(1)(x)+(1)(1)[/tex]
After distributing, simplify the expression, perform the multiplication and combine like terms,
[tex]x^2 + 2x + 1[/tex]
A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, , that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
Not large
Total number of marbles = 4 + 7 + 6 = 17
Number of green marbles = 7
Probability of first marble being green = 7/17
Probability of the second marble being green = 6/16
Probability of the third marble being green = 5/15
Probability (3 green) = 7 / 17 * 6/16 * 5/15 = 210 / 4080 = 0.05147
Find the vertex, focus, directrix, and focal width of the parabola. negative 1 divided by 40 x squared equals y
Answer:
2, 8, 90, 160
that is the focal, vertex l, direction
what do a congruent shape look like
Answer:
Hey! :)
Step-by-step explanation:
Hope this helps!
Have a nice day<3
The concert tickets for Saturday were reduced from $50 to $30. By what percentage was the concert tickets reduced?
Answer:
40% price reduction
Step-by-step explanation:
The tickets were reduced by 40% because 20 is 2/5 or 40% of 50 and that was the amount of the price reduction.
Answer:
%40
Step-by-step explanation:
Here is why:
Because every dollar coutns as 2% of the price so 20 * 2 is 40 and you will get %40!
Any Questions?
does 6/4 = 1 2/4? I need awnsers by tmrw
Answer:
Yes
Step-by-step explanation:
There is definetly a whole number so thats correct
1. subtract 4 from 6 equals 2
2. turn that 4 to a 1 whole and leave what's alone
3. Look at what you did... 1 2/4
4. Take pride
Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the costs can be explained in large part by the number of customers patronizing the stores. Monthly data regarding customer visits and costs for the preceding year for one of the stores have been entered into the regression analysis and the analysis is as follows: Average monthly customer visits 1,462 Average monthly total costs $ 4,629 Regression Results Intercept $ 1,496 b coefficient $ 2.08 R2 0.86814 What is the percent of the total variance that can be explained by the regression equation
Answer:
The answer is "88.9%"
Step-by-step explanation:
The Variance percentage indicates through the REgression equation but, the R-Square, it becoming the determination coefficient. 88.871% of the variance could be explained according to the above results.
Find the 15th term of the arithmetic sequence 2x+2, 8x-3, 14x-8, ...
Answer:
86x - 68
Step-by-step explanation:
Answer is attached....
HOPE IT HELPS:)I need help please thank you for your help
Step-by-step explanation:
Draw points at
(-1, -4)
(0, -2)
(1, 0)
(2, 2)
(3, 4)
Then draw a line through those points and that should do it.
This is the graph for the equation.
PLZZ HELP I WILL GIVE 100 points to whoever gets it right
Answer:
34
Step-by-step explanation:
find the amplitude of the function. y=1.5sin4x
Answer:
amplitude is 1.5
Step-by-step explanation:
If amplitude of f(x) is a, the amplitude of f(cx + d) is also a, for any d and non-zero c.
If amplitude of f(x) is a, the amplitude of cf(x) + d is c*a, for any d and any c.
From that we know that amplitude of y=1.5sin4x is the same as amplitude of y=1.5sinx, and 1.5 times more than amplitude of y=sinx. And we know that amplitude of sinx is 1.
Thus, amplitude of y=1.5sin4x is 1.5
2. Identifica si las parejas de triángulos son congruentes. Escribe cuál de los criterios te permite comprobarlo.
Answer:Dos triángulos son congruentes si tienen iguales dos de sus lados respectivos y el ángulo comprendido entre ellos y el ángulo opuesto mayor medida que ellos. 4° Dos triángulos son congruentes si tienen dos lados correspondientes y el ángulo opuesto mayor de estos lados congruentes.
Step-by-step explanation:
In ΔIJK, the measure of ∠K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find the measure of ∠I to the nearest tenth of a degree.
Answer:
m∠I = 58.4°
Step-by-step explanation:
cos = adjacent side/hypotenuse
It is always helpful to have a picture. In your case KI is adjacent to ∠I and IJ is the hypotenuse.
So cos I = KI/IJ = 4.5/8.6
arccos (4.5/8.6) = m∠I
m∠I = 58.4°
It is necessary for you to memorize the definitions of the trig functions in order to do these types of problems. OK?
Completely factor the following expression
x^2+6xy+3y^2
Please answer this ASAP I have 10 minutes to finish it
Answer:
No solution
Step-by-step explanation:
Find the number of distinct permutations of the letters in the word MATHEMATICS
Answer:
4989600
step by step explanation:
Step by step workout
step 1 Address the formula, input parameters and values
Formula:
nPr =n!
(n1! n2! . . . nk!)
Input Parameters & Values:
Total number of alphabets (n) & subsets (n1, n2, . . nk) in the word "MATHEMATICS"
n = 11
Subsets : M = 2; A = 2; T = 2; H = 1; E = 1; I = 1; C = 1; S = 1;
n1(M) = 2, n2(A) = 2, n3(T) = 2, n4(H) = 1, n5(E) = 1, n6(I) = 1, n7(C) = 1, n8(S) = 1
step 2 Apply the input parameter values in the nPr formula
=11!
(2! 2! 2! 1! 1! 1! 1! 1! )
=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11
{(1 x 2) (1 x 2) (1 x 2) (1) (1) (1) (1) (1)}
=39916800
8
= 4989600
In 4989600 distinct ways, the letters of word "MATHEMATICS" can be arranged.
A painter uses 2 1/2 cans of paint 1/4 of a room. How much of a room could he paint with 1 can of paint?
Answer:
1/10
Step-by-step explanation:
First, convert your numbers to decimals.
2.5 cans of paint cover 0.25 area of a room.
Equation:
2.5=0.25
If you divide 2.5 by 5, you'll get 0.5.
But what you do to one side, you do it to the other.
0.25÷5= 0.05
So now you have your new equation
0.5=0.05
since you want 1 can of paint, multiply it by 2.
1= 0.1
convert it back to fraction: 1/10
Answer this to get 10 points + BRAINLIEST!!!!!
Paragraph Five
As a member of the Feel Power.org team, Noah explains, "I like to teach kids because I feel like I have good mentors in my life. A lot of kids don't have that, and I want to be a mentor for them. We go to schools and teach kids how to be respectful and how to make positive life choices." The goal of Feel the Power is to "give youth the skills they need to make positive life choices." Noah and others visit schools and talk to students about respect, responsibility, honesty, and being drug free. He received recognition for his "Respect" video that helps people confront the issue of bullying.
In paragraph 5, the author of the article lists the topics that Noah and the Feel the Power team discuss in their motivational talks. What do the selected topics imply about the organization's beliefs?
A) These areas are necessary for a successful life.
B) These areas are necessary for a successful life.
C) These qualities are the easiest to teach others.
D) These are areas of life where people do not need help.
Answer:
A&B
Step-by-step explanation:
Because by going through this paragraph the closest answer is that these are necessary steps to ensure that the youth have successful lives.
Which type of deposit is paid in advance to protect landlords against nonpayment?
A.
security deposit
B.
special deposit
C.
surety Deposit
Answer:
a
Step-by-step explanation:
plato
Security deposit is paid in advance to protect landlords against nonpayment.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
A security deposit is a sum of money paid by a tenant to a landlord or property manager before moving in, with the purpose of protecting the landlord in case the tenant does not fulfill their obligations under the lease agreement, such as not paying rent, damaging the property or leaving it unclean at the end of the lease.
The amount of the security deposit is usually equal to one or two months' rent, and it is refundable at the end of the lease term, provided that the tenant has complied with all the terms of the lease.
If the tenant has breached the lease agreement, the landlord may use the security deposit to cover the unpaid rent or any damages caused by the tenant.
Hence, Security deposit is paid in advance to protect landlords against nonpayment.
To learn more on Percentage click:
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help plssssssssssssssssss
Answer:
1,075 ft
Step-by-step explanation:
So you need to find area
15 x 25 =375 ft
35 x 20 = 700 ft
add together to get total of both
700 + 375 = 1,075
Hopefully im right!
can someone pls help!!
Answer:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
Step-by-step explanation:
When a quadratic equation is in the form [tex]y=a(x-h)^2+k[/tex] (vertex form):
The x-coordinate can be found by identifying which value makes [tex](x-h)^2[/tex] equal 0The y-coordinate can be found by identifying the k value (y=k)Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for [tex](x-h)^2[/tex] to equal 0 and k needs to be -3. The only equation that displays this is G:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
I hope this helps!
3/5 of a number is 21 find the number
Answer:
35
Step-by-step explanation:
To find the original number multiply by the reciprocal of [tex]\frac{3}{5}[/tex] , that is
number = [tex]\frac{5}{3}[/tex] × 21 = [tex]\frac{105}{3}[/tex] = 35
A hair salon uses 4 bottles of shampoo for every 3 bottles of conditioner.
The coordinate plane shows a graph of equivalent ratios.
Use the graph to find the number of bottles of conditioner that are used when 16 bottles of shampoo are used.
Answers
A 3 bottles of conditioner
B 6 bottles of conditioner
C 12 bottles of conditioner
D 20 bottles of conditioner
Answer:
I honestly think it is C.
Step-by-step explanation:
Since "4 bottles of shampoo for every 3 bottles of conditioner" is (4,3), I think the 16 is (16,12) on the graph. It might be worng, might be right. Just go for C.
Consider this data set: {49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
The mean is:
The median is:
The mode is:
The range is:
Suppose the value 60 is added to the data set.
The mean increases by:
The median increases by:
The mode is:
The range is:
(PLS Copy and Paste this whole thing in your answer and write the answers)
Step-by-step explanation:
The mean is: 48
The median is: 49.5
The mode is: 50
The range is: 51
Suppose the value 60 is added to the data set.
The mean increases by: 1
The median increases by: .5
The mode is: 50
The range is: 51
plz help with everything in the pic
HERE I TOOK PICTURES
i only understand number 11
Find the circumference of f
Answer:
its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer
Step-by-step explanation:
Please help by giving me the 3 digit code and a explanation.
Answer: 281
Step-by-step explanation:
13 Find the surface area of the cylinder. Round to the
15.in
19 in.
Not drawn to scale
A 1791 in.
B. 11281 in.
C3204 in
D. 5815 in.
2
Please help I’m doing a test and it’s being timed
Abby invested 4,500 in a saving account where she earned 2.5%interest compounded quarterly. She miscalculated what the accumulated value would be in her account after 5 year
Answer: the final balance is $5,097.18
The total compound interest is $597.18
Step-by-step explanation:
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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Answer:
B
Step-by-step explanation:
Answer:
B is the correct answer.
hope it helps my friend.
plz mark me as brainliest if you want.
Geometry help please. Thank you. What term Describes RT?
Answer:
The line from point R to point T
Step-by-step explanation:
RT with a line above it means the line from point R to point T.