Final answer:
By setting up equations based on the given information about the garden and the sidewalk around it, and then solving for the width, we find that the width of the garden is 5 feet, and its length is 10 feet.
Explanation:
Let's denote the width of the garden as w feet. Therefore, the length of the garden can be represented as w + 5 feet, since it is mentioned that the length is 5 feet longer than its width. Surrounding the garden, there is a 2-foot-wide sidewalk which affects the overall dimensions of the combined area (garden plus sidewalk). The width and length of this entire area would thus be w + 4 and w + 9 respectively, adding 2 feet on each side for the sidewalk.
To find the area of just the sidewalk, which is given as 76 square feet, we first calculate the area of the entire (garden plus sidewalk) rectangle, and then subtract the area of the garden. The equation for the area of the entire rectangle is (w + 4)(w + 9), and for the garden alone, it's w(w + 5). The difference between these areas gives us the area of the sidewalk:
(w + 4)(w + 9) - w(w + 5) = 76
Expanding and simplifying this equation gives us a quadratic equation to solve for w. Simplifying further:
w^2 + 13w + 36 - w^2 - 5w = 76
8w + 36 = 76
8w = 40
w = 5
Therefore, the width of the garden is 5 feet and the length is 10 feet (5 + 5).
The distance between two towns is 12 5/8 miles. Mr.Lang has driven 4 5/12 miles of distance. How much farther does he have left to go?
PLEASE HELP ASAP!!!!!!!!!
Which steps should be followed to use a scale drawing and a new scale to find the new length of a soccer field? Add the numerator of the new scale to the old length to get the new length. Subtract the new length from the old length to find the difference in lengths. Write a proportion using the new scale as the first ratio. Set the first ratio equal to the ratio of the length of the original field compared to a variable that represents the new length of the field. Solve the proportion to find the new length of the field. Write a ratio comparing the scale drawing length to the actual length of the field, and simplify.
Translate this sentence into an equality
the quotient of x and 7 is at most -24
help me please I dont know the answer..
Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.
If Larry ate L% of the total amount of pizzas, what is the value of L?
Answer:
Where is the pic?
An isosceles trapezoid has a perimeter of 57 millimeters. Its shorter base measures 6 millimeters and its longer base measures 15 millimeters. The two remaining sides have the same length; what is that length?
Use the steps to solve the Carbon Dating Problem.
1. Graph the function C(t) = 100•e^-0.000121t using points (t, C(t)).
Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is greater than the product of its digits by 26
how too solve for x 5x+8
Use what you learned in the lesson and the online content to answer the following question: Which renewable source of energy should the United States focus its research and development efforts to make this source of energy our country’s main energy source by the year 2050? Why?
Answer:
Renewable electricity
Step-by-step explanation:
Renewable electricity is an option for everybody. Using a small solar panel device can create renewable electricity for your home. Renewable electricity is safer and cleaner.
The renewable source of energy is the generation of energy from naturally extracted resources. These sources are naturally replenishing due to excess consumption and overpopulation.
These renewable sources are virtually inexhaustible. The types of renewable energy sources are: biodiesel, wind, solar, hydropower, and many more.
Renewable electricity is the source of energy upon which the United States must focus its research and development efforts.
Renewable electricity is the most suitable option over which the research and development must focus for making it one of the main sources of energy for the country by the yer 2050.
This can be done by using solar panel devices at homes and factories so that they can generate their own electricity. This will help in saving the electricity supply from the poles.
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Jorge bought a crate of floor tiles for 95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, the nearest cent
Answer:
Step-by-step explanation:
6b= 95.94 divide will give you $15.99 then divide 20 into 15.99 will give you .7995 they said nearest cent.
A 20ft ladder leans against a house. The bottom of the ladder is 8 feet from the base of the house. To the nearest foot, how high above the ground is the top of the ladder?
I have the same values as a group of 2 dimes and 1 nickel what coin am I
Which statement is NOT true?
F. A set of ordered pairs that describes a function cannot have any y-value repeated.
G. A table of values describes a function if all the x-values are different.
H. A mapping is a function if each x-value is paired with exactly one y-value.
J. A graph describes a function if no point on the graph lies directly above or below another of the graph.
Screenshot included! MY LAST QUESTION! What is the volume of this aquarium?
96 in³
2,304 in³
3,216 in³
4,608 in³
Find two consecutive whole numbers that square root 62 lies between
The square root of 62 lies between the consecutive whole numbers 7 and 8, because 7² is 49 and 8² is 64, and 62 is between these two square numbers.
Explanation:The student is asking for two consecutive whole numbers between which the square root of 62 lies. First, identify the whole numbers whose square roots are immediately less than and greater than √62. Considering square numbers we know, 7² = 49 and 8² = 64. Since 49 < 62 < 64, the square root of 62 must be between 7 and 8. Therefore, the two consecutive whole numbers are 7 and 8, as √62 is greater than 7 but less than 8.
What is the surface area of the cube with the rectangular prism
155 in
270 in
300 in
310 in
y=x^2-16x+63
[tex]y = x { }^{2} - 16x + 63 \\ [/tex]
The equation provided is a quadratic equation in standard form, which can be solved using methods such as factoring, completing the square, or the quadratic formula to find its roots.
Explanation:The equation y=x^2-16x+63 is a quadratic equation, which is a polynomial equation of the second degree. The standard form of a quadratic equation is ax^2 + bx + c = 0. To solve this equation for x, you can either factor it, complete the square, or use the quadratic formula. If this specific equation was meant to be solved, we would look for values of x that make the equation true. This involves finding the roots of the equation, which are the x-intercepts of the parabola represented by the equation on a graph.
The quotient of m and 7
i need the answer as soon as possible :)
A $12,500 loan for 3 years, compounded at an annual interest rate of 18%.
Find the total amount owed.
A) $21,157.90
B) $13,187.22
C) $8,037.90
D) $20,537.90
The function f(x) =g(x), where f(x) =2x-3 and g(x) =x^2-5
Answer:
x=2.732
Step-by-step explanation:
Given are two functions
f(x) = 2x-3 and g(x) = [tex]x^2-5[/tex]
WE have to find the approximae value when these two funcitons are equal
Since we are asked to find only positive value we can refer table and do
f(2) >g(2) but f(3)<g(3) Hence there is one solution between 2 and 3.
f(2.5)>g(2.5). So the root lies between 2.5 and 3 since change of sign takes place here
x f g
2.6 2.2 1.76
2.7 2.4 2.229
2.72 2.44 2.398
2.73 2.46 2,453
2.732 2,464 2.464
Hence answer is x =2,732
Kerrie cover a table with 8 rows of square tiles there are 7 tiles in each row what is the area the Kerrie covers in square units?
Kerrie covered a table having 8 rows of square tiles.
Each row has 7 tiles. The table will be rectangular in shape.
The number of rows will be the length of the table and the number of tiles in each row will be the width of the table.
Area of rectangle = length x width.
Area of the table = 8x7= 56 square units.
The area covered by Kerrie is [tex] 56unit ^{2} [/tex]
What’s the nth term of 40 35 30 35 20
what are the whole numbers between 2 and 8
What is the value represented by the letter A on the box plot of the data?
{10, 12, 15, 21, 24, 30}
Enter your answer in the box.
The value of letter A on the box plot is given by A = 10
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
here, we have,
we know that,
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the box plot be represented as Z
Now , the values of the data from the box plot is given by
Z = { 10 , 12 , 15 , 21 , 24 , 30 }
The value of the letter A from the box plot is the first value
where A = 10
Therefore , the value of A is 10
Hence , the box plot is solved
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You have 15 coins in your pocket: 4 quarters, 3 pennies, 5 dimes, and 3 nickels. Why wouldn't theoretical probability be a good way to predict which coin you pull out of your pocket?
The front of an a-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the front of the a-frame is 600 square feet.Write and solve an equation to find the base of the A-frame house
Answer:
60 feet
Step-by-step explanation:
Multiply the area by 2 to get 1200 feet. then, divide by 20 to get 60. The base of the a-frame is 60 feet.
Simplify fully the square root of 1/169
The fully simplified form of √(1/169) is 1/13.
Given that an expression √(1/169), we need to simplify it,
To simplify the square root of 1/169, we can break it down as follows:
√(1/169)
Since 1 is the square of itself (1² = 1), we can rewrite the expression as:
√(1/169) = √(1)/√(169)
The square root of 1 is simply 1:
√(1/169) = 1/√(169)
Now, the square root of 169 is 13:
√(1/169) = 1/13
Therefore, the fully simplified form of √(1/169) is 1/13.
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the equation of a circle is (x-5)^2+(y+3)^2=25 what are the coordinates of the center of this circle