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.
Three pairs of shoes cost $108. If each pair costs the same, how much does each one cost?
A.$32
B.$34
C.$36
D.$38
Answer:
C: 36
Step-by-step explanation:
There are 3 pairs of shoes. They all cost the same. Since these shoes add up to 108 dollars, they basically multiply by three to get to 108. (3x=108) If you want to figure out the cost of one shoe you just have to reverse the process by using division. So just do simple division by dividing 108 by three (108/3=x) and there is your answer, 36.
pls help me first of all how do you add a photo?
Answer:
there should be a "paper clip" sign
Step-by-step explanation:
then go to it click it and pick or take a photo
Is -2 x 4 positive or negative? please help i have 19 missing assignments
Answer:
-8
Step-by-step explanation:
a negative number multiplied by a positive one gives as a result a negative number
-2 x 4 = -8
15 ( 10 + y) = 3
i need help so bad
Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch
Answer:
Following are the responses to the given question.
Step-by-step explanation:
In this question, the points values are missing which is why its solution can be defined as follows:
Let
[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]
Formula:
[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]
For d1:
[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]
[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]
[tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]
For d2:
[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]
[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]
[tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]
The first distance value is greater than the second distance value.
A grocery store 16 cartons of yogurt for sale, of which 8 are cherry. What is the probability that a randomly selected carton of yogurt will be cherry? write your answer as a percent
A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Solve the inequality 4x -5 greater than or equal to 7
hello please help i’ll give brainliest
Step-by-step explanation:
I think Gold is the correct answer. Thanks.
Pretty sure the answer is Alloys.
Help needed for some geometry
Answer:
hope this help you. look it once.
6 times the dierence of d and 5
Answer:
6(d - 5)
Step-by-step explanation:
The difference of d and 5 represents (d - 5)
Multiply that by 6 to get 6(d - 5)
Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.
Give your ratio in its simplest form.
Answer:
1,260:280
or
1,260 to 280
or
1,260/280 Simplified → 4 1/2
Step-by-step explanation:
Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.
Answer:
First one i think is C and the second one is A it was easy
Step-by-step explanation:
answer this question for 30 points and brainilest
Answer:
Volume of left side cylinder will be less than the volume of right side cylinder.
Step-by-step explanation:
Volume of a cylinder is given by the formula,
Volume = πr²h
Here, r = radius of the circular base
h = Height of the cylinder
Volume of the left hand cylinder = π(b)²a
Volume of the right hand cylinder = π(a)²b
It's given in the question that a > b
Let the value of a = 3 and b = 2
Then the volume of left hand cylinder = π(2)²(3)
= 12π
Similarly, volume of right hand cylinder = π(3)²(2)
= 18π
Therefore, volume of left side cylinder will be less than the volume of right side cylinder.
Find measure of angle WZY.
Answer:
the answer is 4
Step-by-step explanation:
8x-1=5x+11
3x=12
x=4
since the triangle is
a.right
b.isosceles
c.equilateral
Step-by-step explanation:
plz write full question
Answer:
I need a more information
Step-by-step explanation:
the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan
12cm
have an amazing day <3
find the length of x.
Answer:
3.5
Step-by-step explanation:
so this triangle is symmetrical by AA. so x would be symmetrical to 7, and 2.5 is symmetrical to 5.
[tex]\frac{x}{2.5}[/tex] = [tex]\frac{7}{5}[/tex]
x×5=5x
2.5×7=17.5
5x=17.5
x=17.5/5
x=3.5
The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.
Answer:
3 x 1 and 8 x 1/10
Step-by-step explanation:
Please help ASAP!!
8(5x-3)-11(3x+7)=102
Please solve!
Answer:
x = 29
Step-by-step explanation:
8(5x-3)-11(3x+7)=102
40x - 24 - 33x - 77 = 102
7x - 101 = 102
7x = 203
x = 29
Answer:
X=29
Step-by-step explanation:
There were 8,454 pencils that were produced in the factory. When inspecting the pencils they noticed that 1,789 pencils were cracked. How many pencils were they able to use
Answer: They were able to use 665 pencils
Step-by-step explanation: You would simply do 8,454 - 1,789=665
Give Brainliest please :)
I need help asap !!!!
Answer:
C
Step-by-step explanation:
Pythagorean theorem = a² + b² = c²
Answer:
C.
Step-by-step explanation:
Pythagrean Theorem is on C
If a1=10 and an An-1 + 4 then find the value of
05.
Answer:
26
Step-by-step explanation:
Just put n = 5 and substitute
Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26
A sum of 7
Probability:
Answer:
7,5,3,1,8,6,4,2,9
Step-by-step explanation:
Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?
Answer:
5062043
Step-by-step explanation:
add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer
5k(k-9)=0 solve for k
Step-by-step explanation:
5k²-45= 0
5k²= 0 +45
k²= 45/5
k²= 9
or
k = 9/2 = 4.5
Please Help! The diagram shows the graph of y=2x+c, where c is a coonstant. Find the value of k.
Answer:
k = 6.5
Step-by-step explanation:
The question relates to the association of the association of the equation of a graph point(s) on the graph
The given equation of the graph, is y = 2·x + c
The value of 'c' is a constant
We note that the value of 'c' can be found when x = 0, as follows;
y = 2·x + c = 2 × 0 + c = c
∴ When x = 0, y = c
From the graph, when x = 0 we have the y-intercept, the point the graph crosses the y-axis, which is the point y = -3
Therefore;
When x = 0, y = -3 = c
∴ c = -3
The equation of the graph becomes, y = 2·x + (-3) = 2·x - 3
y = 2·x - 3
The other given point on the graph is the point (k, 10)
The value k is the x-value when y = 10
Substituting y = 10 in the equation for the graph gives the x-value at the point y = 10 as follows;
10 = 2·x - 3
2·x = 13
x = 13/2 = 6.5
x = 6.5 (when y = 10)
Therefore the point (k, 10) = (6.5, 10)
By comparing the two equal coordinates, we have;
k = 6.5.
Для изготовления макета космической ракетыбыло куплено d м алюминевых проводов по цене 150 тг k стеклопластикапо цене 340 тг сколько всего денег изасходовали на изготовления космической ракеты
Answer:
I do not understand ummmm
What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6
Answer:
He made a mistake in his calculations when simplifying 5x - 2y
Step-by-step explanation:
Given
The coordinate pair
[tex](x,y) = (2,-2)[/tex]
The equations
[tex]7x + 9y = ?[/tex]
[tex]5x - 2y = ?[/tex]
Dimitri's Solution
[tex]Equation\ 1: 7x + 9y = -4.[/tex]
[tex]7(2) + 9 (-2) = -4.[/tex]
[tex]14 + (-18) = -4.[/tex]
[tex]-4 = -4.[/tex]
[tex]Equation\ 2: 5x -2y = 6.[/tex]
[tex]5(2) - 2 (-2) = 6.[/tex]
[tex]10 - 4 = 6.[/tex]
[tex]6 = 6.[/tex]
Required
Identify Dimitri’s mistake
In the first equation, Dimitri made no mistake.
However, he made a mistake when simplifying the second equation.
We have:
[tex]5x - 2y[/tex]
and
[tex](x,y) = (2,-2)[/tex]
Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]
So, we have:
[tex]5(2) -2(-2)[/tex]
Open bracket
[tex]10 +4[/tex]
Finally, we have:
[tex]14[/tex]
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W
Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]