Answer: 25 by 50 ft
Hope this helps
The dimensions of the rectangle will allow for the most economical fence to be built are 30 feet by 15 feet
Given that, rectangular area=450 square feet.
What is the formula to find the area of a rectangle?The formula to find the area of a rectangle is Area=Length×Breadth.
Let the length of the rectangle be x and the breadth of the rectangle be y.
Now, 450=xy.
x=450/y
The cost of three sides is $3 per foot.
That is, 3x+3x+3y
The cost on the fourth side is $9 per foot.
That is, 9y
Total cost=6x+12y
Now, Total cost=6×450/y+18y
Let the minimum cost be 0.
2700/y+12y=0
⇒2700/y²-12=0
⇒12y²=2700
⇒y=15 feet
So, 450/15=x=30 feet.
Therefore, the dimensions of the rectangle are 30 feet by 15 feet.
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Evaluate the expression 1/3(4+18) -2 squared
Answer:
Evaluate the expression 1/3(4+18) -2 squared
Step-by-step explanation:
First of all we will add brackets to understand the question as:
= ((1/3) * (4+18) - (2 squared))
= ((1/3) * ( 22) - 2² )
According to Math's rule that Multiplication and division must be completed before addition and subtraction.
= (( 1/3 * 22) - 4 )
= (( 7.33) - 4 )
= ( 7.33 - 4 )
= 3.33
3.33 is the correct answer.
Write a four digit number that is divisible by 3 and 5
Answer:
There are many numbers like 1005, 3000, and 2700.
Step-by-step explanation:
The divisibility rule for 3 is the sum of the numbers is divisible by 3. example is 111. well 1+1+1 is 3 so its divisible by three.
The divisibility rule for 5 is any number that ends in 5 or 0.
If you have any questions feel free to ask in the comments - Mark
PLEASE HELP ME FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
The following data set is graphed on a coordinate plane: (10,45), (25,70), (46,105). If the y-intecept of the line of best fit is at 28.5 ,what would be the most reasonable slope of line: 1/3, 5/3, or -4/3? Show/explain how you know.
Slope is the change in Y over the change in. X
Using two of the given points:
Slope = 70-45 / 25-10
Slope= 25/ 15
Slope = 5/3
robin wants to find the area of the triangle below. to find the area of a triangle, multiple the base times the height and then divide by 2. the base and height of the triangle are shown. represent the area of the triangle with numerical expression.
Answer:
6
Step-by-step explanation:
Base = 4 in
Height = 3 in
Area= 1/2 Base * Height
Area = 1/2 * 4 * 3
Area = 1/2 * 12
Area = 6
solve 4√2 as the square root of a single number
Step-by-step explanation:
[tex]4 \sqrt{2} = \sqrt{ {4}^{2} \times 2} = \sqrt{16 \times 2} = \sqrt{32} [/tex]
Kevin and Marcus were comparing their ages. The same of their ages was at least 9 years but was at most 24 years. If Kevin is 6 years old, which of the following inequalities represents all possible values for Marcus age, m?
The inequality that represent age of marcus is:
[tex]24\geq 6+m\geq 9[/tex]
The possible values for age of Marcus is:
m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Solution:
Given that,
The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years
Kevin is 6 years old
Let "m" be the age of Marcus
Thus we frame a inequality as:
[tex]24\geq \text{ sum of ages } \geq 9[/tex]
at least 9 years means that "greater than or equal to 9"
at most 24 years means "less than or equal to" 24
From given,
Sum of ages = kevin age + marcus age
Sum of ages = 6 + m
Thus the inequality is:
[tex]24\geq 6+m\geq 9[/tex]
Solve the inequality
[tex]\mathrm{If}\:a\ge \:u\ge \:b\:\mathrm{then}\:a\ge \:u\quad \mathrm{and}\quad \:u\ge \:b\\\\24\ge \:6+m\quad \mathrm{and}\quad \:6+m\ge \:9\\\\Solve\ them\ separately[/tex]
[tex]24\ge \:6+m\\\\\mathrm{Switch\:sides}\\\\6+m\le \:24\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\le \:24-6\\\\\mathrm{Simplify}\\\\m\le \:18[/tex]
Now solve another inequality
[tex]6+m\ge \:9\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\ge \:9-6\\\\\mathrm{Simplify}\\\\m\ge \:3\\\\\mathrm{Combine\:the\:intervals}\\\\m\le \:18\quad \mathrm{and}\quad \:m\ge \:3\\\\\mathrm{Merge\:Overlapping\:Intervals}\\\\3\le \:m\le \:18[/tex]
[tex]24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}[/tex]
Thus possible values for age of Marcus is:
m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Kelsey solved the following equation:
7x − one over two (8x + 2) = 6
Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3
Which of the following has all of the correct justifications Kelsey used to solve this equation?
1. distributive property
2. combine like terms
3. addition property of equality
4. division property of equality
Solution:Given that,
Kelsey solved the following equation:
[tex]7x - \frac{1}{2}(8x+2) = 6[/tex]
Step 1:By distributive property,
a(b + c) = ab + bc
Therefore,
[tex]7x - (\frac{1}{2} \times 8x)+( \frac{-1}{2} \times 2)= 6\\\\7x - 4x - 1 = 6[/tex]
Step 2:Combine the like terms
7x - 4x - 1 = 6
3x - 1 = 6
Step 3:Addition property of equality
The property means that when we add the same number to both sides of an equation, the sides remain equal
3x - 1 = 6
Add 1 on both sides
3x - 1 + 1 = 6 + 1
3x = 7
Step 4:Division property of equality
The Division Property of Equality means that when we divide both sides of an equation by the same non zero number, the sides remain equal
3x = 7
Divide both sides by 3
[tex]\frac{3x}{3} = \frac{7}{3}\\\\x = \frac{7}{3}[/tex]
Thus the correct justifications Kelsey used to solve this equation is:
1. distributive property. 2. combine like terms. 3. addition property of equality. 4. division property of equality
Answer:
I took the test it is 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
I am a fraction that is greater than 1 but less than 2 the sum of my numerator and denominator is 11 my denominator subtracted from my numerator is 1 what fraction am I
Answer:
that fraction is an improper fraction I think.
How do you write 40.545 in word form
The requried word form of the given number is forty and five hundred forty-five thousandth.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
Since the given number is of decimal form.
A word form of the given number 40.545 is given as,
40.545 = forty and five hundred forty-five thousandth.
Thus, the requried word form of the given number is forty and five hundred forty-five thousandth.
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If n=3 then what is (4n-2) (7-2)
The value of equation when n = 3 is 50
Solution:
Given equation is:
[tex](4n -2)(7-2)[/tex]
We have to find the value of equation when n = 3
By plugging in n = 3 in given equation we can find the value of given equation
Substitute n = 3 in given equation
[tex]\rightarrow (4(3) -2)(7-2)\\\\Solve\ the\ above\ equation\\\\\rightarrow (12-2)(7-2)\\\\\rightarrow (12 - 2)(5)\\\\Simplify\ the\ above\ equation\\\\\rightarrow 10 \times 5 = 50[/tex]
Thus the value of equation when n = 3 is 50
Will give Brainliest if answer is correct!
Answer:
a|| b then
<6=<4=<2=146
Let f(x) = (x^2+3x-5)/(x^2-8x+15) What is the domain of f(x) ?
Answer:
So, Domain = {set of all the real numbers except 3, 5}
Interval notation = {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}
Step-by-step explanation:
The given function is f(x) = [tex]\frac{x^2 + 3x - 5}{x^2 - 8x + 15}[/tex]
Here we need to find the domain.
To find the domain, let's find the restricted domain.
If we set the denominator equal to zero and solve for x, we can find the restricted domain.
Here the denominator is [tex]x^2 -8x + 15 = 0[/tex]
Now we can factorize and solve for x.
(x - 3)(x - 5) = 0
(x - 3) or (x - 5) = 0
x -3 = 0 and x - 5 = 0
Solving the above equations, we get
x = 3 and x = 5
The restricted domains are x = 3 and x = 5.
Now we can find the domain.
Except 3 and 5, all the real numbers can be domain of this function.
So, Domain = {set of all the real numbers except 3, 5}
= {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}.
Answer: all real numbers except 3, 5
Step-by-step explanation:
How do simplify 4(x-3)+5(x-3)
Answer:
9x-27
Step-by-step explanation:
4(x-3)+5(x-3)=4x-12+5x-15=4x+5x-12-15=9x-27
The drink dispenser in a fast food restaurant holds 250 liters
Question:
A drink dispenser in a fast-food restaurant holds 250 litres of lemonade. How many 0.6-litre drinks can be dispensed before a refill is needed?
Answer:
The number 0.6-litre drinks can be dispensed before a refill is needed is 416
Step-by-step explanation:
Given:
The capacity of the drink dispenser = 250 litres
To Find:
Number of 0.6-litre drinks can be dispensed before a refill is needed = ?
Solution
Let the number of 0.6-litre drinks can be dispensed before a refill is needed be x
Then
[tex]x = \frac{ \text{total capacity of the dispenser}}{\text{0.6-litre drinks}}[/tex]
On substituting the values we get
[tex]x = \frac{250}{0.6}[/tex]
x = 416. 667
Thus only 416 can be filled
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score:
of 15 points
(Score for Question 1: __of 4 points)
1. To go bowling, it costs $2.00 to rent shoes and $3.50 per game. The function t(x) = 3.5x + 2 is used to find the
total cost, 1, for x amount of games. Find the following and show all work:
(a) What is the charge to play 1 game?
(b) What is the charge to play 5 games?
Please help
Answer:
A). $5.50
B).19.50
Step-by-step explanation:
A). 3.5(1)+2=5.50
B). 3.5(5)+2=19.50
All you are are doing is inputing the number of games played (x) in for x in the function/equation.
8 inch by 6 inch retangular photo inside a 10 inch by 8 inch rectangular fram how much greater is the perimeter of the frame
The perimeter of frame is 1.29 greater
Step-by-step explanation:
Perimeter of a rectangular shape object is given by the formula;
2(l+w) when, l is length and w is width
Perimeter of the photo is;
2(8+6)= 2(14) =28 inches
Perimeter of the frame is;
2(10+8)= 2(18) =36 inches
Divide perimeter of frame by that of photo as;
36/28 =1.29
The perimeter of frame is 1.29 greater
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WILL GIVE BRAINLIEST You can draw a quadrilateral with no parallel lines and at least one right angle. True/ False
Answer:
True because a right angle can't exist with any parallel lines.
Answer:
true hope this helped.
Step-by-step explanation:
It’s a statistics mathematical question
Answer: About 0.8034 of the items will be classified as good.
Step-by-step explanation:
Let's first understand that because 13% of the items are defective, that means 87% of the items are not defective. And because the inspector incorrectly classifies the items 9% of the time, it's important to understand that that means both the defective and the not defective items may be incorrectly classified. In order to figure out what proportion will be classified as 'good,' let's set up a tree diagram:
--0.13--defective
|__0.09__ classified as 'good'
|__0.91__ classified as 'defective'
--0.87--not defective
|__0.09__ classified as 'defective'
|__0.91__classified as 'good'
This chart essentially reiterates the information in the prompt, showing that 9% of each type of item will be incorrectly classified. Now we need to find the proportion of items that will be classified as 'good.' To do this, we must multiply the proportion of items classified as 'good' by the proportion of items that are either defective or not defective for both types, like this:
(0.13 * 0.09) + (0.87 * 0.91)
this expression in words means: "13% of the items will be classified as good 9% of the time, and the other 87% of the items will be classified as good 91% of the time"
When we multiply and add these numbers together, we get 0.8034, but you should round to 2 or 3 decimal places like the prompt instructs. Hope this helped! :)
this is how dora subtracts 73-26. 73-3=70. 70-?=50. ?-?=? fill in the blanks to solve
Answer:
73-3=70
70-20=50
50-24=26
To solve 73-26, subtract 3 from 73 to get 70. Then, subtract a number from 70 to get 50. The missing number is 20.
Explanation:To solve the equation 73-26, we can subtract it step by step. The first step is to subtract 3 from 73, which equals 70. The next step is to subtract a number from 70 to get 50. To find that number, we subtract 50 from 70, which is 20. So, the missing number is 20.
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A landscaping company is putting small stones around a circular fish pond with a diameter of 5.5 yards. If each bag of stones fills a distance of 4 yards, how many bags do they need
Answer:
2
Step-by-step explanation:
If one bag of stones is sufficient to fill the distance of 4 yards , then to complete 5.5 yards of pond boundary, 2 bags are enough.
What is distance?Distance is a physical quantity measuring the length over an area covered by an object or place. The change in distance is called displacement. For a moving object the distance is the product of its speed and time take to cover the distance.
Distance can be measured in meter, kilometer, feet, yard etc. These units can be interchanged in between based on the relationship between them.
It is given that the diameter of the circular fish pond is 5.5 yards. One bag of stones can fills a distance of 4 yards. of the pond. Then two bag of stones is enough to fill up the total distance of 5.5 yards.
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can somebody please let me know what the formula would be flipped?
Step-by-step explanation:
The flipped formula would be:
[tex]C = \frac{5}{9} (F - 32) \\ [/tex]
1. Which figure has a circumference of
31.4 centimeters?
Figure A Figure C
Figure B. Figure D
Answer:
Figure B
Step-by-step explanation:
Circumference of a circle is simply the length of the boundary of the circle which can be measured by the formula of [tex]2\pi r[/tex]
In the figure B the given radius in the figure is 5
Putting 5 in the formula to find the circumference of the circle gives
[tex]2\pi *r[/tex]
= [tex]2*3.14*5[/tex] : [tex]\pi =22/7=3.14[/tex]
Circumference of the circle in fig B = 31.4 cm
So, Circle in the figure B will have the circumference of 31.4 cm. Also the Circumference of the fig A, C and D are different and are not equal to 31.4 cm
Find the sum of 8 + 11 + 14 + ... + 602 + 605.
Answer:
61300
Step-by-step explanation:
PLEASE HELP I NEED TO PASS THIS TEST!!! (first actual answer gets brainliest)
Iliana rotated trapezoid WXYZ 180° about the origin.
*graph below*
What is the correct set of image points for trapezoid W’X’Y’Z’?
Answer:
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)
I hope this helps you. If you can give brainliest that would be greatly appreciated.
Answer:
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
Step-by-step explanation:
look at picture
simplify the expression 2a + 5b² - a - b - 3b²
Answer:
a+2b²-b (correct order is 2b²+a-b)
Step-by-step explanation:
combine like terms ( terms with the same variable and are to the same power) so thats 5b² and -3b² and 2a and -a. the -b doesnt have any like terms so leave that alone for now. combine like terms 5b²-3b² is 2b² and 2a-a is a. so you have 2b²+a and plug in the -b so you get 2b²+a-b.
Answer:
a-b+2b^2
Step-by-step explanation:
collect like terms
2a-a-b+5b^2-3b^2
a-b+2b^2
A segment is dilated, and the resulting segment is shorter than the original.
Which of the following options could be the scale factor of the dilation?
Select all that apply.
3/8
1
5
1/5
Answer:
3/8 and 1/5
Step-by-step explanation:
If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.
hope this helped :)
Answer:1/5 and 3/8
Step-by-step explanation:
What is x equal to in this equation: 6(x - 2) = -18
Check your answer for 3(p+2)=18
3(p + 2) = 18
3p + 6 = 18
3p = 12
p = 4
Check:
3(p + 2) = 18
3(4 + 2) = 18
3(6) = 18
18 = 18
This proves that p = 4.
⭐ Answered by Hyperrspace (Ace) ⭐
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Answer: p = +4
Step-by-step explanation: To solve this equation for p, our first step is to distribute the 3 through the parentheses on the left side.
3 times p is 3p and 3 times 2 is 6.
So we have 3p + 6 = 18.
Next, we need to isolate the p term by subtracting 6 from both sides of the equation to get 3p = 12.
Finally, we divide both sides of the equation by 3 to get p = +4.
What situation can be represented by the expression-3 + 3?
A. Nancy owes $3 on an account and then withdraws another $3.
B. Jason pays $3 on the $3 he owes in fines.
C. There is a change in temperature from -3 degrees F to 0 degrees F.
D. A toy car travels at a rate of 3 meters per minute for 3 minutes.
E. Teri’s score in a word game is 0 after scoring 3 points.
My son has chosen C and E as the answers. Correct?
Answer:
Step-by-step explanation: It B
-3 + 3 = 0
1. What is the fourth term of the
sequence 4, 8, 12, 16, 20, 24,
Answer:
16
Step-by-step explanation:
bruh, it's right there
Answer:
16
Step-by-step explanation:
it's the fourth number in the pattern