The length of the towel bar is 9.5 inches.
Explanation
Suppose, the length of the towel bar is [tex]x[/tex] inches.
The distance from each end of the towel bar to the end of the door is 9 inches. So, the total width of the door will be: [tex][x+(9*2)] = (x+18)inches[/tex]
Given that, the width of the door is [tex]27\frac{1}{2}[/tex] inches or 27.5 inches. So, the equation will be........
[tex]x+18=27.5\\ \\ x=27.5-18= 9.5[/tex]
Thus, the length of the towel bar will be 9.5 inches.
Final answer:
Vita can center the towel bar on her 27 1/2-inch wide door by ensuring it is 9.5 inches long. This is done by deducting the combined distances from the ends of the towel bar to the door edges (18 inches) from the total width of the door.
Explanation:
Vita wants to find the length of the towel bar that she wants to center on a door that is 27 1/2 inches wide, with the distance from each end of the towel bar to the end of the door being 9 inches. To solve for the length of the towel bar, we denote the length of the towel bar by x. Then, we can set up an equation where the sum of the distances from both ends of the towel bar to the door edges and the length of the towel bar itself equals the width of the door.
The equation will be:
9 inches + x + 9 inches = 27 1/2 inches
We combine the known distances to simplify the equation:
18 inches + x = 27 1/2 inches
To find x, we subtract 18 inches from both sides of the equation:
x = 27 1/2 inches - 18 inches
Converting 27 1/2 inches to a decimal, we have 27.5 inches. Thus:
x = 27.5 inches - 18 inches
x = 9.5 inches
Therefore, the length of Vita's towel bar should be 9.5 inches long to be centered on her 27 1/2-inch wide door.
t=sqrt(2h-40t/g) I'm not sure where to even start on this one.
Write 14/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
The value of number 14 / 3 will be;
⇒ 14 / 3 = 4.6666.....
What is Number system?
A system of writing to express the number is called number system.
Given that;
The number is,
⇒ 14 / 3
Now,
Solve the expression by dividing the number as;
The number is,
⇒ 14 / 3
⇒ 3.6666666.....
⇒ 4.66⁻⁻⁻
Thus, The value of number 14 / 3 will be;
⇒ 14 / 3 = 4.66⁻⁻⁻
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find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches
Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could have divided the pieces so that everyone ate the same amount of cake.
An electronics superstore normally sells a new smartphone for $200, but it is currently offering a 50% discount off the price. The same phone is available online for $200; the website is offering 25% off the phone, plus another 25% discount off all purchases. Where should you buy the phone to get the better deal? Why?
You should buy the phone at the electronic superstore at a 50% discount to get a better deal compared to the website.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 3% is two-hundredth, which means 3%=3/100=0.03.
Given that the cost of a smartphone = $200
Discount offer = 50% off
So the amount to be paid = $200 - 0.50 × $200 = $100
Now by purchasing through the website cost of a smartphone = $200
Discount 25% so it will be $200 -0.25 × $200 = $150.
Other 25% off will be $150 - 0.25×$150 = $112.5 hence, it will good to buy the phone at the electronics superstore.
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7.7.33
Question Help
The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about
9898
kilopascals. For every 1000-m increase in altitude, the pressure decreases about
11.411.4%.
What is the approximate pressure at an altitude of
40004000
m?
The pressure at an altitude of
40004000
m is about
nothing
kilopascals.
Mary invest £12000 in a savings account.
the account pays 1.5% compound interest per year.
work out the value of her investment after 2 Years
Answer:
The value of her investment after 2 Years is £ 12362.70
Step-by-step explanation:
Given : Mary invest £ 12000 in a savings account. The account pays 1.5% compound interest per year.
We have to find the value of her investment after 2 Years
Using formula for compound interest
[tex]A=P(1+r)^n[/tex]
where, A is amount
P is principal
r is rate of interest
n is time period
We have, P = £ 12000
t = 2 years
r = 1.5% = 0.015
Substitute, we have,
[tex]A=12000\left(1+0.015\right)^2[/tex]
Simplify, we have,
A = £ 12362.70
The value of her investment after 2 Years is £ 12362.70
A number w added to 2.3 is more than 18.
What are the roots of the polynomial equation?
x^2−14x−32=0
Enter your answers in the boxes.
steven needs to purchase enough wallpaper to cover a wall measuring 84 square feet. if the width is 5 feet more than the length, what are the dimensions of the wall?
What is the lcm of 45 and 54?
What term describes the set of all possible output values for a function?
A. Output
B. Input
C. Range
D. Domain
Answer:
The answer is option C !!
Step-by-step explanation:
8. The triangles below are similar. State the following:
1.The similarity ratio
2.Theorem to justify similarity (ex. SSS, SAS, AAA etc)
3.A similarity statement for the two triangles.
please help me with another problem
A triangle has sides with lengths of 10 millimeters, 14 millimeters, and 18 millimeters. Is it a right triangle?
Will someone please do number 4 and 6 for me ?
what is this equation??
true or false one quart is greater than 40 fluid ounces
HELP PLEASE!! A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining. Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.
To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality 460 - 65w < 100. Solving this inequality gives w > (460 - 100) / 65, meaning it will take more than 6 weeks.
Explanation:To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality:
460 - 65w < 100
Where 'w' represents the number of weeks. To solve this inequality, we can subtract 460 from both sides and then divide by -65, remembering to reverse the inequality symbol when dividing by a negative number. This gives us:
w > (460 - 100) / 65
So, it will take more than 6 weeks for the warehouse to have less than 100 boxes remaining.
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x+2y=6
2x+4y=12
I need to use substitution to solve, may anybody help?
the answer ............
you sure answer for number 9 to calculate how much money mr. and mrs. J make per week there 52 weeks per year the answer I came up with for the first one was $82,796
Select from the drop-down menus to correctly complete each statement. Quadrilateral ABCD can be mapped onto quadrilateral EFGH with a followed by a . The figures are . Coordinate plane with x axis from negative -10 to 2 and y axis from negative 2 to 10. Quadrilateral A B C D has vertices A begin ordered pair negative 9 comma 5 end ordered pair, B begin ordered pair negative 7 comma 3 end ordered pair, C begin ordered pair negative 5 comma 4 end ordered pair, and D begin ordered pair negative 6 comma 8 end ordered pair. Quadrilateral E F G H has vertices E begin ordered pair negative 2.5 comma negative 4.5 end ordered pair, F begin ordered pair negative 1.5 comma negative 3.5 end ordered pair, G begin ordered pair negative 2 comma negative 2.5 end ordered pair, and H begin ordered pair negative 4 comma negative 3 end ordered pair.
Quadrilateral ABCD can be mapped onto quadrilateral EFGH by applying a factor scale of sqrt{2/3}, then by translating each vertex using the coordinates of quadrilateral EFGH. By performing these geometric transformations, you will find that the two quadrilaterals are similar.
This is a problem of mathematical transformation in the field of geometry. Quadrilateral ABCD can be mapped onto quadrilateral EFGH using a scale factor followed by a translation.
First, let's find the scale factor. The distance from A(-9,5) to B(-7,3) is sqrt{(7+9)2 + (3-5)2} = sqrt{4+4} = 2sqrt{2}.
The distance from E(-2.5,-4.5) to F(-1.5,-3.5) is sqrt{(2.5+1.5)2+(4.5+3.5)2} = sqrt{4+8} = 2sqrt{3}.
Hence, the scale factor is 2sqrt{2}/2sqrt{3} = sqrt{2}/sqrt{3} = sqrt{2/3}.
Next, to perform the translation, shift over all the vertices of quadrilateral ABCD by adding to their x-coordinates the difference between the x-coordinate of vertex E and the x-coordinate of vertex A (which, after scaled, is -9*sqrt{2/3}), as well as similarly adding to their y-coordinates the difference between the y-coordinate of vertex E and the y-coordinate of vertex A (which, after being scaled, is 5*sqrt{2/3}).
After carrying out the scaling and translation, quadrilateral ABCD will be exactly mapped onto quadrilateral EFGH, demonstrating that the two figures are similar.
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imneed to know the step by step answer to 7.7times11
the sum of two numbers is 16 , and there difference is 8. determine the numbers by solving the following systems of equations,using x and y to represent the unknown numbers. x+y= 16
x_y=8
Answer:
Step-by-step explanation:
I will mark brainiest is my answer is correct need legit answer thanks
three lots of three make
A garden has 2 yellow rose plants. These rose plants represent 1/8 of the plants in the entire garden. How many plants are in the entire garden?
The volume of a cone varies jointly with the area of the base and the height. When the area of the base is 27 cm2 and the height is 6 cm, the volume is 54 cm3. Therefore, the area of the base is _____ cm2 when the height is 12 cm and the volume is 124 cm3.
The area of the base of a cone can be calculated by using the volume, height, and a constant derived from given values. Applying this formula to the specified conditions, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.
Explanation:The volume V of a cone can be represented using the formula V = k * B * h, where 'V' is the volume, 'B' is the area of the base, 'h' is the height, and 'k' is a constant proportionality factor. In this case, you are given that the area of the base is 27 cm2, the height is 6 cm, and the volume is 54 cm3. From these values, you can calculate that the constant 'k' is (54/(27*6)) = 0.333. Now, given a volume of 124 cm3 and a height of 12 cm, you can rearrange the equation to solve for the area of the base 'B': B = V/(k*h) = (124/(0.333*12)) = 31 cm2. Therefore, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.
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Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)