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:
https://brainly.com/question/1214333
To rent some equipment from a local hardware store, it costs $65 for 8 hours. To rent it for 12 hours, it costs $85. If the rate of change is constant, find the rate of change (cost per hour).
Answer:
it costs 7-8$ per hour
Step-by-step explanation:
the answer is estimated
A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
N
Point A has coordinates (3, 2)
YA
B (27, 30)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.
Answer:
(13, 16)
Step-by-step explanation:
Point A has coordinates (3,2) Point b has the coordinates (27,30)
Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit
The length of the square = 28 unit / 4 square = 7 unit
Also, half of the height of the diagram = 28/2 = 14 unit
Therefore the x coordinate is given by:
27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13
Also, the y coordinate is given by:
30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16
Therefore the coordinate for point C is given by (13, 16)
hope it help :)
Miranda sold movie DVD’s for $12 and television DVD’s for $9 and has collected $1167 from the sales of both. The number of movies sold is 4 less than 3 times the number of television shows. How many movie DVD’s were sold, and how many television DVD’s were sold?
Answer:
number of be television be 27 and the number of movies would be 50
Step-by-step explanation:
The computation of the number of DVD sold and the number of television sold is shown below:
Let us assume the number of television be x
So, the number of movies would be (3x - 4)
Now according to the question the following equation is made
12(3x - 4) + 9x = $1167
36x - 48 + 9x = $1,167
45x = $1,215
x = 27
So, the number of be television be 27
And, the number of movies would be
= (3x - 4)
= 3(27) - 4
= 50
Daniel solves the equation 3(x+1)-5=3x-2 and states that it has no solution. Is he correct?
Explain why and why not.
Answer:
He is incorrect
Step-by-step explanation:
Given
3(x + 1) - 5 = 3x - 2 ← simplify left side
3x + 3 - 5 = 3x - 2
3x - 2 = 3x - 2
Since both sides are equal, then this indicates that the equation has infinite solutions.
Kamal makes $12.00 an hour at his job. Last week he earned $390. Write and solve an equation to determine how many hours Kamal worked last week. Enter the correct answers in the boxes.
Work out the temperature
Answer:
a) -4
b) 4
c)0
Step-by-step explanation:
a) It had fallen by 9 ,therefore it would be 5 -9 = -4
b)mode is the most repetitive number that is 4
c) the median is the middle value.First arrange the numbers orderly then get the odd number that is 0.
Show and explain how you would solve the following equation by graphing x - 2 = 5
Answer:
See below
Step-by-step explanation:
If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.
HELP ME PLEASE plsssssss
Answer:
220i
Step-by-step explanation:
v=length×width×height
If the slope is 3 and one ordered pair on the line is (2,9), what is the equation?
I'll give you brainliest if it's correct!
Answer:
y = 3x+3
Step-by-step explanation:
we can find the equation of the line with this formula:
y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m the slope
so we have
y-9 = 3(x-2)
y = 3x-6+9
y = 3x + 3
I need help please I’m stuck
Answer:
x + 90 + 63 = 180
Step-by-step explanation:
∠A + ∠B + 45 + 63 = 180 {Straight line angles}
From the figure we know that , ∠B + 45 = 90
Therefore, ∠A + 90 + 63 = 180
Answer:
Option B is correct.
Step-by-step explanation:
∠A = 27
27 + 90 + 63 = 180
you can see that square right. the square is 90.
Have a nice day!
Select all the statements that describe the expression 5 + 2x. *
The expression represents 5 plus 2 plus x.
The expression represents 5 plus 2 times x
The expression represents 5 plus x plus x.
The expression represents 5 plus x times x.
The expression represents the sum of 5 and 2x
The expression represents the product of 5 and 2x.
Identify the second quartile in the box-and-whiskers plot
The median of the data set is
(attached)
.
Answer:
The median is 58
Step-by-step explanation:
Answer:
The answer is 58
HELP HELP HELP A triangle has two sides of length 14 and 18. What is the largest possible whole-number length for the third side?
Answer:
22
Step-by-step explanation:
I added the numbers yw
Find the surface area of each figure.
Answer:
1=21yds. 2.=16m 3.=16ft 4.=3cm
Mr. drew rides his motorcycle with a constant speed of 72 mi/hr. How far can he travel in 2 ½ hours?
Answer:
180
Step-by-step explanation:
take 72+72 +36 to get your answer .
Answer:
180 miles
Step-by-step explanation:
Assuming that the speed of the motorcycle is constant, the following equation, ([tex]speed * time = distance[/tex]) can be used to find the distance that a vehicle traveled when one is given the time and speed at which the vehicle operates. Substitute in these values, and solve,
[tex](72)*(2\frac{1}{2})\\\\= 72 * \frac{5}{2}\\\\= 180[/tex]
Uhm I also need help with this
Answer:
D. PerpendicularStep-by-step explanation:
First answer A. Answer A is not even correct. Parallel are two or more lines that NEVER cross
Answer B is also not correct. Line segments are a line of specific length. These are two LINES. You can tell by the arrows on the edge of each line.
Both C and D can be correct. But the answer would be D. Here is why
Intersecting lines are two or more lines that cross. Yes these lines are crossing by perpendicular lines also cross. The difference is, intersecting lines can cross at any angle. Perpendicular lines have to cross at 90 degrees making 4 right corners.
Solve for a. -4a - 2a – 7 = 11 a = [?]
Answer:
a = -7/17
Step-by-step explanation:
Add -4a to -2a
This makes -6a. Then you add 6a to the left to cancel it out, but you must also add 6a to the right of the =
Then you have -7 = 17a
Divide 17 from both sides and you have -7/17 = a
Write an inequality for this statement . ( you do not have to solve) Miguel is planning on going to the arcade with $17.60 in his pocket. It will cost him $8 to get there and get home by a taxi . If all games cost 25 cents . Write and solve an inequality to show the number of games he can play.
Answer:
8 + .25x < 17.60
Step-by-step explanation:
The inequality sign should be less or equal to 17.60, but I don't have that on my phone.
Which function represents the given graph?
O f(x) = 100 (3/5)^x
O f(x) = (100 ×3/5)^x
O f(x) = 100+ 3/5x
O f(x) = 100×(2/5)x
Answer:
A. f(x) = 100 · (3/5)^x
Step-by-step explanation:
Answer: edge 2021
Step-by-step explanation:
can someone help me figure out this please ASAP!!!!!
Answer:
Formula: SA= 2B+Ph
This might not be an exact answer but it makes it easier
6 of the 10 participants in a triathlon are men and the rest are women. What is the ratio of the number of women participating to the number of men participating?
A square has a side length of 1.2 meters. What is its area in squae meters?
Answer:
1.44
Step-by-step explanation:
1.2*1.2=1.44
Please someone help me! If sinα*cosα=-0.5 then what's the value of sin^4α+cos^4α and sin^6α+cos^6α?
I NEED HELPP PLS!!!!!!!!!!!!!!!!!!!
Answer:
270
Step-by-step explanation:
The formula for finding the area of a triangle is base · height ÷ 2, or [tex]\frac{bh}{2}[/tex]
After plugging in the numbers given to the formula, we find that the area of the triangle is 27.
Then to account for the length, we multiply the area of the triangle by 10.
This gets us to 270.
help plz i will give all my point's
Answer:
B the answer is B I believe so
I need help with this problem- please help me ;w;
NO BOTS
Answer:
A) Perimeter: 210
Area: 2,516
B) Area
C) Perimeter
Hope this helps ya :3
Im sped Help MEEEEE PLEASEEE
Answer:
2x^4
-x^3 + 3x^2 + 2x + 4
5x^2 + 5x + 5
-3x + 10
22
Step-by-step explanation:
find the highest exponent of each polynomials:
22=> 0 degree
-3x(equals to -3x^1) + 10=> 1st degree
5x^2 + 5x + 5=> 2nd degree
-x^3 + 3x^2 + 2x + 4=> 3rd degree
2x^4=> 4th degree
what is the area of the semicircle?
69.08 mm²
150.72 mm²
189.97 mm²
I know it's not 138.16
help me plzz please please
Answer:
132 square feet
Step-by-step explanation:
a+b/2*h
20+24/2*6=132
A rectangular portrait has an area of 40 square feet it's perimeter is 26 feet what are the dimensions of the portrait?
Answer:
Step-by-step explanation:
Portrait is in the shape of a rectangle.
And the area of a rectangle = Length × Width
Let the length of the portrait = l
And width of the portrait = w
Area of the portrait = lw
lw = 40
l = [tex]\frac{40}{w}[/tex]
Perimeter of a rectangle = 2(Length + width)
Perimeter of the portrait = 2(l + w)
26 = 2(l + w)
l + w = 13 ----------(2)
By substituting the value of 'l' in equation (1) from equation (2)
[tex]\frac{40}{w}+w=13[/tex]
40 + w² = 13w
w² - 13w + 40 = 0
w² - 8w - 5w + 40 = 0
w(w - 8) - 5(w - 8) = 0
(w - 5)(w - 8) = 0
w = 5, 8 feet
From equation (2)
l = 8, 5 feet
Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).