The garden at right will have a border of flowers around the outside edge that is the same width all around. The flowers you bought will fill an area of 276ft^(2). How wide will the border of flowers be?
Answers
Based on the information provided, the border of the flowers will be 16,61 feet.
How to calculate the missing border?The area that the flowers fill, which in this case is 276 square feet was calculated by multiplying the side by side of the shape. Due to this, the border can be calculated by using the following formula:
Area = s x s
This means the area is equivalent to s^2
Area = s^2
Now, let's modify the formula to calculate the missing border:
side = \(\sqrt{area}\)
side = \(\sqrt{276}\)
side = 16,61 feet
Based on this, the missing border of flowers would be 16,61 feet.
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Related Questions
-17( -18r-16)
Please show your work!
Answers
Answer:
Step-by-step explanation:
Answer: 306r + 272
Step-by-step explanation:
To simplify the expression -17(-18r-16), we can use the distributive property of multiplication, which states that:
a(b+c) = ab + ac
Using this property, we can expand the expression as follows:
-17(-18r-16) = (-17) x (-18r) + (-17) x (-16)
Multiplying the coefficients:
= 306r + 272
Therefore, -17(-18r-16) simplifies to 306r + 272.
Many countries, especially those in Europe, have significant gold holdings. But many of these countries also have massive debts. The following data show the total value of gold holdings in billions of U.S. dollars and the debt as a percentage of the gross domestic product for nine countries (WordPress and Trading Economics websites, February 24, 2012).
Country Gold Value Debt
China 63 17.7
France 146 81.7
Germany 203 83.2
Indonesia 33 69.2
Italy 147 119
Netherlands 36 63.7
Russia 50 9.9
Switzerland 62 55
U.S. 487 93.2
Required:
a. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings.
b. Use residual analysis to determine whether any outliers or influential observations are present.
c. Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c).
Answers
Answer:
Regression model = y = 0.123X + 49.077
Influential point = US ; 487 ; 93.2
Slope with influential point present = 0.123
Slope without influential point = 0.342
Step-by-step explanation:
Given the data:
Gold value (X) :
63
146
203
33
147
36
50
62
487
Debt (Y) :
17.7
81.7
83.2
69.2
119
63.7
9.9
55
93.2
Using the online regression calculator :
The model obtained is :
y = 0.123X + 49.077
y = predicted variable ; debt
Slope = 0.123
x = predictor variable ; gold value
Intercept = 49.077
The influential observation :
US ; 487 ; 93.2
Dropping this observation from our data and fitting the model ;
Model without the influential point :
y = 0.342X+ 30.769
Slope with influential point present = 0.123
Slope without influential point = 0.342
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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Find the value of x.(2x+3)°/(x-6)°
Answers
The Solution.
By sum of angles in a straight line, we get
\(2x+3+x-6=180\)\(\begin{gathered} 2x+x-6+3=180 \\ 3x-3=180 \\ 3x=180+3 \\ 3x=183 \\ \text{Dividing both sides by 3, we get} \\ x=\frac{183}{3}=61 \end{gathered}\)The correct answer is x = 61
Find the perimeter of this shape
Answers
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Which of the following shows a 90° counterclockwise rotation of the blue figure
Answers
Joke by G gallon of gasoline for $4.55 per gallon the secant of oil $5.25 per kid what expression can be used to determine the total amount Joe spent on gasoline and oil if he by 9.2 gallons of gasoline and then cans of oil how much did he spending all all
Answers
Answer:
He spent $90.16 in all.
Explanation
9 Gallons of Gasoline = $40.95
0.2 Gallons of Gasoline = $0.91
$40.95 + $0.91 = $41.86
9 Gallons of Oil = $47.25
0.2 Gallons of Oil = $1.05
$47.25 + $1.05 = $48.30
$41.86 + $48.30 = $90.16
fun quashen answer this you will get 20 pointes it must be corret a clue it not B , D have fun be fast
Answers
Answer:
A. no, the sale price is about 60% of $65 or $39. Because $38 is less than $39, you do not have enough money.
Step-by-step explanation:
Given parameters:
Discount on sales = 40%
Amount with me = $38
Original sales price = $65.99
Unknown:
Will you have enough money to buy the item = ?
Solution:
To solve this problem, let us find the discount amount on the selling price;
= \(\frac{40}{100}\) x 65.99
= $26.39
So, the price of the item now = Original sales price - discount amount
= $65.99 - $26.39
= $39.6
$39.6 can also be derived from 60% of $65.99
This amount is more than amount at hand.
Jenny and Julie each drank a cup of hot chocolate after playing in the snow. Jenny put 6 more marshmallows in her cup than Julie. Together Jenny and Julie had a total of 6 marshmallows. How many marshmallows did Jenny (x) and Julie (y) each have in their hot chocolate?
Answers
Jenny has 6 marshmallows in her hot chocolate and Julie has 0 marshmallows in her hot chocolate
System of equations: Determining the number of marshmallows in hot chocolateFrom the question, we are to determine the number of marshmallows Jenny and Julie each have in their hot chocolate
From the given information,
"Jenny put 6 more marshmallows in her cup than Julie"
Then, we can write that
x - y = 6 ---------- (1)
Also,
"Together Jenny and Julie had a total of 6 marshmallows"
That is,
x + y = 6 ---------- (2)
Add equations (1) and (2) together
x - y = 6
+ [x + y = 6
--------------------
2x = 12
x = 12/2
x = 6
Substitute the value of x into equation (2)
x + y = 6
6 + y = 6
y = 6 - 6
y = 0
Hence, Jenny has 6 and Julie has 0
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PLEASE HELP!!! I WILL GIVE BRAILIEST
Answers
Answer:
1) if b = 5
Answer: never a repeating decimal.
2) if b = 6
Answer: sometimes a repeating decimal
3) if b = 7
Answer: Always a repeating decimal
4) if b = 8
Answer: Sometimes a repeating decimal
5) if b = 9
Answer: Always a reapeating decimal.
Step-by-step explanation:
1) if b = 5
Answer: never a repeating decimal.
2) if b = 6
Answer: sometimes a repeating decimal
3) if b = 7
Answer: Always a repeating decimal
4) if b = 8
Answer: Sometimes a repeating decimal
5) if b = 9
Answer: Always a reapeating decimal.
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answers
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
3g - 7 (7g - 7) + 2 (5g - 6)
Answers
Answer:
-36g+37
Step-by-step explanation:
3g-7(7g-7)+2(5g-6) - distribute
3g-49g+49+10g-12 -combine like terms
-36g+37 - solution
If the radius of a circle is 12cm, what is the diameter of the circle? *
Answers
Answer:
24
Step-by-step explanation:
12 + 12 =24
Hah thats all i got to say lolololol
A plumber needs ten sections of pipe, each 2'6" long. If pipe is sold only by the 10' section, how many sections must he buy?
Answers
The plumber must buy 3 sections if he needs ten sections of pipe each 2'6" long sold only the 10' section.
How is the number determined?The number of sections of pipe that the plumber requires is determined by multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
The length of each section of pipe = 2'6"
The number of sections needed by the plumber = 10
The total sections = 26 (2'6" x 10)
The sale of pipes = 10'
The number of sections of pipe that the plumber must buy 2.6 sections (26/10) ≈ 3 sections.
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Select the correct answer. Which statement best describes the zeros of the function h(x) = (x – 6)(x2 + 8x + 16)? A. The function has two distinct real zeros. B. The function has three distinct real zeros. C. The function has one real zero and two complex zeros. D. The function has three complex zeros.
Answers
We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.
What is a function?In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.
To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),
we can set the function equal to zero and solve for x.
Setting h(x) = 0, we have:
(x - 6)(x^2 + 8x + 16) = 0
Setting x - 6 = 0, we find:
x = 6
Setting x^2 + 8x + 16 = 0,
we can attempt to factor or use the quadratic formula.
Therefore, the function:
h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.
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If the LCM of (x,60) = 1260 and x is even then what is the possible value of x
Answers
The possible value of x such that the least common multiple is 1260 is equal 63.
How to determine the number associated with a least common multiple
In this problem we need to find the value of an integer such that the least common multiple is 1260. We need to decompose both 60 and 1260 as a product to numbers and determine the possible common and distinctive prime numbers to discover the missing value.
First, decompose factorially 60 and 1260:
60 = 2² × 3 × 5
1260 = 2² × 3² × 5 × 7
Second, classify the common and distinctive prime numbers of x:
Common: 2², 3, 5
Distinctive: 3², 7
Third, find the least value by multiplying the distinctive prime numbers:
x = 3² × 7
x = 9 × 7
x = 63
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if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
Answers
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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how many hundreds are there in 4376
Answers
Answer:
43 hundreds
Step-by-step explanation:
There are 40 hundreds in 4000.
4000/100=40.
Afterwards, you would add the other 3 hundred to the answer which would make the answer 43 since 300/100 is equal to 3, and 40 + 3 = 43
The remainder of the 76 left would be 7 tens and 6 ones also if you wanted to know.
10 one hundreds = 1000
3 one hundreds = 300
What is the sum of the interior angles of a regular polygon with 9 sides?
1,260°
1,620°
1,800°
1,980°
Answers
The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.
What is the angle of the polygons?An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.
Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,
Sum = ( n - 2 ) 180°
Sum = ( 9 - 2 ) 180
Sum = 7 x 180
Sum = 1260°
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d. Cloe has 84 packs of potato chips and 86 juice boxes.
He wants to share them equally with all his friends. How
A many friend does Cloe have
? How many packs of chips
and juice boxes will each friend receive? is it LCM or GCF?
Answers
Answer:
I was trying to look up the answer to help out but I think I accidently found the answer key ill put it in the explanation
Step-by-step explanation:
https://www.louisianabelieves.com/docs/default-source/assessment/grade-7-answer-key.pdf?sfvrsn=e005981f_2
What is the surface area of a sphere with diameter 8 cm?
Answers
Answer:
As = 256\(\pi\) or 804.25cm
Step-by-step explanation:
By formula As = \(4\pi r^{2}\)
As = 256\(\pi\) or 804.25cm
can someone please help me
50 points
Answers
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
math
math
math
math
math
Answers
Answer:
D
Step-by-step explanation:
Add 7 and 3 which is 10
3^10 is 59049 which is the same as 3^7*3*3
Answer:
A. 10460353203
B. 60466176
C. 2.86797199
D. 59049Step-by-step explanation:
Hope this helps ;P Plz mark Brainliest ;)
therefore D >//<
An integer is 7 more than 2 times another. If the product of the two integers is 60, then find the integers.
Answers
Answer:
15 and 4Step-by-step explanation:
Let the first integer be x and the second integer be y. If the first integer is 7 more than 2 times another, then x = 7+2y
The two integers will be y and 7+2y. If the product of both integers is 60, then;
y(7+2y) = 60
7y + 2y² = 60
2y² + 7y -60 = 0
2y²-8y+15y-60 = 0
2y(y-4)+15(y-4) = 0
(2y+15)(y-4) = 0
2y+15= 0 and y-4 = 0
2y = -15 and y = 4
y = -15/2 and 4
Taking the positive integer, y = 4
To get the other integer, we will substitute y = 4 into the equation x = 7+2y;
x = 7+2(4)
x = 7+8
x = 15
Hence the two integrs are 15 and 4
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
Answers
Answer:
Step-by-step explanation:
We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.
Let R(x) = 300x-2x²
C(x) = 5000+4x
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
Rearrange:
P(x) = -2x+300-4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Note that the functions are assumed. Use this concept to solve your real question
If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Here, We can assume revenue and expenses.
Let R(x) = 300x - 2x²
C(x) = 5000 + 4x
How do you calculate revenue profit?It is the difference between the total revenue and the total expenses.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
P(x) = -2x + 300 - 4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
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Mr Mr Alam use 3/5 kg of flour to bake a cake use 1/2 kg less flour to bake some cookies how many kilograms of flour did he used to beat the cookies
Answers
Given:
Flour used to bake a cake = \(\dfrac{3}{5}\) kg
He use \(\dfrac{1}{2}\) kg less flour to bake some cookies.
To find:
The quantity of flour he used to bake the cookies.
Solution:
Mr. Alam use \(\dfrac{3}{5}\) kg kg of flour to bake and cake and use \(\dfrac{1}{2}\) kg less flour to bake some cookies.
Quantity of flour he used to bake the cookies is
\(\text{Required Flour}=\dfrac{3}{5}-\dfrac{1}{2}\)
\(=\dfrac{6-5}{10}\)
\(=\dfrac{1}{10}\)
Therefore, he use \(\dfrac{1}{10}\) kg flour to bake some cookies.
Meera bought packs of trading cards that contain 10 cards each. She gave away 7 cards. x = Number of packs of trading cards. Which expression shows the number of cards left with Meera ?
Answers
Answer:
Correct option is A) ⇒ We have given, x is number of packs of trading cards.⇒ Pack of trading cards contain 10 cards each.∴ Total number of cards = 10x⇒ From total cards she gave away 7 cards. ∴ Number of cards left with Meera = 10x−7
Step-by-step explanation: tell me if I’m wrong and I’ll re do it for yo
Given a battery rated at 350 ampere-hours how many hours will the battery be able to provide 7 amperes
Answers
From the division computed, it should be noted that the number of hours that the battery will be able to provide 7 amperes will be 50 hours.
The information given is about the division of numbers. It was stated that the battery is rated at 350 ampere-hours.
The number of hours that it will be able to provide 7 amperes will be:
= 350 / 7
= 50 hours.
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Explain how do you do it If you put only the answer i will report you
Answers
Answer:
\( d = \sqrt{113} = 10.63014 \)
Step-by-step explanation:
Distance between the endpoints of the graph, (-3, 3) and (5, -4), can be calculated using distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).
Where,
\( (-3, 3) = (x_1, y_1) \)
\( (5, -4) = (x_2, y_2) \)
Thus,
\( d = \sqrt{(5 - (-3))^2 + (-4 - 3)^2} \)
\( d = \sqrt{(8)^2 + (-7)^2} \)
\( d = \sqrt{64 + 49} = \sqrt{113} \)
\( d = \sqrt{113} = 10.63014 \)
Q: The value of
\( \sqrt{3 - 2 \sqrt{2} } \)
is:->
(a)
\( \sqrt{2 } - 1\)
(b)
\( \sqrt{2} + 1\)
(c)
\( \sqrt{3} - \sqrt{2} \)
(d)
\( \sqrt{3} + \sqrt{2} \)
Answers
Answer:
A
Step-by-step explanation:
\(\sqrt{3-2*\sqrt2}=\sqrt{(\sqrt2)^2-2\sqrt2*1+1^2}=\sqrt{(\sqrt2-1)^2}=\sqrt2-1\)