Given:
The length of your family's garden is 3 feet greater than the width.
The area of the garden is 460 square feet.
To find:
The dimensions of the garden.
Solution:
Let x feet be the width of the garden. Then,
Length = [tex]x+3[/tex] feet
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width of the rectangle.
The area of the rectangular garden is:
[tex]A=(x+3)\times x[/tex]
[tex]A=x^2+3x[/tex]
It is given that the area of the garden is 460 square feet.
Putting [tex]A=460[/tex], we get
[tex]460=x^2+3x[/tex]
[tex]0=x^2+3x-460[/tex]
Splitting the middle term, we get
[tex]x^2+23x-20x-460=0[/tex]
[tex]x(x+23)-20(x+23)=0[/tex]
[tex](x+23)(x-20)=0[/tex]
[tex]x=-23,20[/tex]
The width of a garden cannot be negative. So, [tex]x=20[/tex].
Now,
[tex]l=x+3[/tex]
[tex]l=20+3[/tex]
[tex]l=23[/tex]
Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.
20 POINTS
The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
Answer:
B or C
Step-by-step explanation:
Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.
how many lines of symmetry does the letter x have
Answer:
Step-by-step explanation:
I think it's got 4, one on the X axis, one on the y axis, one on the y=x line and one on the y =-x line :P
9. Which activity would best result
in a scholarship award ?
A person swims 11 miles
downriver in the same time
they can swim 7miles
upriver. The speed of the
current is 4 mph, find the speed of the person in still water
help me please i cant get it
Answer:
Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.
The total cost of both games is:
X + Y
We know that both games cost just above AED 80
Then:
X + Y > AED 80
From this, we want to prove that at least one of the games costed more than AED 40.
Now let's play with the possible prices of X, there are two possible cases:
X is larger than AED 40
X is equal to or smaller than AED 40.
If X is more than AED 40, then we have a game that costed more than AED 40.
If X is less than or equal to AED 40, then:
X ≥ AED 40
Now let's take the maximum value of X in this scenario, this is:
X = AED 40
Replacing this in the first inequality, we get:
X + Y > AED 80
Replacing the value of X we get:
AED 40 + Y > AED 80
Y > AED 80 - AED 40
Y > AED 40
So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.
So we proven that in all the possible cases, at least one of the two games costs more than AED 40.
mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall
Answer:
no
Step-by-step explanation:
9x12=108
108 square feet so not enough paint.
needs more paint that covers 4 square feet
a lego brick is 5/6 of a cm long, how long will the total length of 336 bricks be?
Answer:
278.88 cm
Step-by-step explanation:
PLEASE HELP
*NO LINKS*
Answer:
its the 2nd one the answer is 1 because 2 times 1 equals one plus 3=1
Step-by-step explanation:
What is the slope of the line represented by -3x + 5y = 20 ?
If m varies directly as n and inversely as the square of p then m=n/kp
true or flase
15(t-2v)
W-
V
Make v the subject of the formula
Answer:
v=15t/(w+30)
Step-by-step explanation:
multiply by w
wv=15(t-2v)
expand brackets
wv=15t-30v
+30v on both sides
wv+30v=15t
factorize to remove v
v(w+30)=15t
divide by (w+30)
v=15t/(w+30)
After making {v} the subject of the formula, we get -
v = 15t/(w + 2).
What is algebraic expression?An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -
2x + 3y + 5
2z + y
x + 3y
Given is to make {v} the subject of the formula -
w = 15(t - 2v)/v
The given equation is -
w = 15(t - 2v)/v
w = 15t/v - 2v/v
w = 15t/v - 2
w + 2 = 15t/v
v = 15t/(w + 2)
Therefore, after making {v} the subject of the formula, we get -
v = 15t/(w + 2).
To solve more questions on equivalent expression, visit the link-
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Find the volume and surface area. Round to the nearest hundredth when necessary.
The coordinates for a quadrilateral are (0.0), (-1,2), (1,6) and 2,4). Determine the type of
quadrilateral.
Answer:
parallelogram
Step-by-step explanation:
HELP PLEASE. find the volume of the figure. (3.14 as pi)
Answer:
The volume of the figure is 720 cm^3
Step-by-step explanation:
Here, we want to find the volume of the figure
mathematically, we can have this as the product of the base of the figure and it’s height
the base is a rectangle and the area is the product of the side lengths
Mathematically, we have this as;
9 * 20 = 180 cm^2
So the volume here can be obtained by simply multiplying by the height of the shape
we have this as;
180 cm^2 * 4 cm = 720 cm^3
is 15m 36m 39m right triangle
Answer is below. Look at my explanation to understand my answer.
To see if these lengths can make a triangle, we can use the "triangle side theorem."
The formula is:
a + b > c
a + c > b
b + c > a
So, with that being said...
15 → A
36 → B
39 → C
So, we can use the triangle side theorem by adding A & B, A & C, and B & C.
If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.
So, let's add 15 and 36 to see if it can make a triangle.
15 + 36 = 51
If you read above, C is 39.
So, 51 > 39
15 + 36 > 39 ✓
Let's repeat this process again.
Instead of C, B is what we're now seeing if the sum is greater than it.
15 + 39 = 54
54 is greater than 36...
54 > 36
So it is true.
15 + 39 > 36 ✓
Now, A is what we're seeing if the sum is greater than it.
36 + 39 = 75
75 is greater than 15...
75 > 15
So it is true.
36 + 39 > 15 ✓
So yes, these lengths can make a triangle.
Let me know of any questions or concerns.
what is the circumference area?
The perimeter of a photograph is 34 inches. It is 10 inches long. How wide is it?
inches
Answer:
the width of the photo is W = 14" / 2, or 7"
Step-by-step explanation:
Recall that P = 2W + 2L. Here L = 10" and P = 34".
Thus, 2(10") + 2W = 34", or
2W = 14"
Then the width of the photo is W = 14" / 2, or 7"
express (x-1)(2x-8) as a trinomial
Answer:
the answer is 2x²-10x+8
The trinomial equation is A = 2x² - 10x + 8
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( x - 1 ) ( 2x - 8 ) be equation (1)
On simplifying the equation , we get
A = x ( 2x - 8 ) - 1 ( 2x - 8 )
A = x ( 2x ) - x ( 8 ) - 2x + 8
On further simplification , we get
A = 2x² - 8x - 2x + 8
A = 2x² - 10x + 8
Therefore , the value of A is 2x² - 10x + 8
Hence , the equation is A = 2x² - 10x + 8
To learn more about equations click :
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Hi, I'm confused about how to write a system of equations to model this word problem
Answer:
Step-by-step explanation:
I say seven...
i need help (links will be reported and wrong answers)
Answer:
40 cm^3
5 x 8 x 1
hope this helps
have a good day :)
Step-by-step explanation:
3. If x and y vary directly, and x = 60 when y = 5, what is the value of у when x = 36 ?
Answer:
y = 3
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 60 as x and 5 as y, and solve for k
y = kx
5 = k(60)
1/12 = k
So, the equation is y = 1/12x
Plug in 36 as x and solve for y
y = 1/12x
y = 1/12(36)
y = 3
So, when x = 36, y = 3
Which of the following are
undefined?
f(g(0))
f(g(-1))
f(g(1/6))
g(f(-1))
g(f(1/2))
g(f(1/6))
Take a picture of the question and then post it so I can help
Answer:
B, D, F
Step-by-step explanation:
Edgen2021
SOMEONE PLZ HELP ME plzzzzzzz
Answer:
B
Step-by-step explanation:
Gary’s soccer team plays 12 games in a season. Each game is 45 minutes long. His older brother, Hector, plays the same number of games, but each of his games lasts twice as long. How many minutes does Hector’s team play each season? Write and solve equations.
Answer:
1080 minutes
Step-by-step explanation:
12x45: garys team
45x2=90 : hector's team
12x90=1080
Evaluate: : Σ8 n=1 (-2)n-1= [?]
Answer:
I believe N = -1/10
Step-by-step explanation:
A car wash attendant counted the number of cars washed and the total amount of money earned. The
company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275
for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of
dollars earned, m.
Answer:
total=n÷m $165÷15,$231÷21 and $275÷25
Find the center and radius of the circle:
x2 + y2 + 14x – 2y + 25 = 0
Help find the mean ,median,mode to 12,9,15,19,20,15
Answer:
Mean = 16
Median = 15
Mode = 15
Step-by-step explanation:
Mean - Add all numbers together then subtract from how many numbers are there.
Median - Arrange your numbers in numerical order. Then count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Mode - This question has one mode because there is only one number that occurs more that the rest.
what is the value of [(-3)^3]^2+2^4?
PLEASE HELP ME ANSWER THIS:(
Answer:
#1y = x² - 8x - 20 y = (x - 10)(x + 2), zero's are (10, 0) and (- 2, 0)Vertex is:
x = -8/-2 = 4, y = 4² - 8*4 - 20 = -36Correct choice is A
#2x² + 1/3x = 4x² + 2*x*(1/6) + (1/6)² = 4 + 1/36(x + 1/6)² = 4 1/36Correct choice is A
#3(-√-1) = -ii² = -1 ⇒ i²ⁿ = -1i²ⁿ⁺¹ = -iCorrect choice A or B