Questions on Word Problems: Geometry answered by real tutors!

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Question 44508: Solve the problem
The volume of a box is 2p%5E4++%2B+17p%5E3++%2B+21p%5E2. The height is p, and the width is p + 7. What is the length?

Click here to see answer by atif.muhammad(135) About Me 

Question 44465: Find the slope and y-intercept.
x = –8
A) Slope: undefined; y-intercept: (0, –8) C) Slope: undefined; y-intercept: none
B) Slope: 0; y-intercept: none D) Slope: 0; y-intercept: (0, –8)

Click here to see answer by Nate(3500) About Me 

Question 44466: Find the slope and y-intercept.
x = –8
A) Slope: undefined; y-intercept: (0, –8) C) Slope: undefined; y-intercept: none
B) Slope: 0; y-intercept: none D) Slope: 0; y-intercept: (0, –8)

Click here to see answer by Nate(3500) About Me 

Question 44596: The second side of a triangle is 1 centimeter more than three times the first side. The third side is 2 centimeters longer than the second side. If the perimeter is 46 centimeters, find the lengh of each side of the triangle
Click here to see answer by Nate(3500) About Me 

Question 44595: The width of a rectangle is 3 inches less than one-half of its length. If the perimeter of the rectangle is 42 inches, find the area of the rectangle.
Click here to see answer by Paul(988) About Me 

Question 44626: The volume of a box is 3p%5E4++%2B+16p%5E3++%2B+21p%5E2. The height is p, and the width is p + 3. What is the length?
Click here to see answer by Nate(3500) About Me 

Question 44896: Describe the process for dinding the equation of a line if you are given two point on the line.
Please help I don't understand this at all.

Click here to see answer by adamchapman(301) About Me 

Question 44895: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Click here to see answer by Chris435435(8) About Me 

Question 45206: a rectangle has a perimeter of 101 cm. the width is 0.01 of the length. what are the dimensions of the rectangle ?

Click here to see answer by tutorcecilia(2152) About Me 

Question 45465: Please solve
The volume of a box is 3p%5E4++%2B+16p%5E3++%2B+21p%5E2. The height is p, and the width is p + 3. What is the length?

Click here to see answer by Nate(3500) About Me 

Question 45610: Please solve the problem
The volume of a box is 2p%5E4++%2B+17p%5E3++%2B+21p%5E2. The height is p, and the width is p + 7. What is the length?

Click here to see answer by Nate(3500) About Me 

Question 45609: PLease solve the problem
The volume of a box is 3p%5E4++%2B+16p%5E3++%2B+21p%5E2. The height is p, and the width is p + 3. What is the length?

Click here to see answer by Nate(3500) About Me 

Question 45606: Geometry, The length of a rectangular playing field id 5ft less than twice its width. If the perimeter of the playing field is 230ft. find the length and width of the field
Click here to see answer by Nate(3500) About Me 

Question 45990: Here is the problem:
The area of a square is twice the area of a triangle. The base of the triangle is 2 less than the side of the square and the height of the triangle is twice the side of the square. Find the side of the square. What equation using one variable would you use to find the side of the square? And how would you solve the equation? Thank you so much.

Click here to see answer by Paul(988) About Me 

Question 46153: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
A) 5 cm B) 12 cm C) 4 cm D) 11 cm

Click here to see answer by gsmani_iyer(201) About Me 

Question 46916: the length of a rectangle is 2 feet less than 3 times its width. Find the length and width if the area of the garden is 21 square feet.
Click here to see answer by mathchemprofessor(65) About Me 

Question 47624: Swimming pool design. An architect has designed a motel pool within a rectangular area that is fenced on three sides (the 4th side is framed by a building). If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of the two lengths and one width? Assume L is greater than W.
Click here to see answer by Nate(3500) About Me 

Question 47782: Open-top box. Thomas is going to make an open-top box by cutting equal squares from four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches then what size square should be cut from each corner?


Thanks

Click here to see answer by Paul(988) About Me 

Question 47831: What is the y-intercept of the function, f(x)=2x^2+4x-6?
Click here to see answer by venugopalramana(3286) About Me 

Question 48121: This is a Value Word Problems lesson. I learned it in chapter 19 but it doesn't help for my problem. Here it is
The expensive ones cost $7 each, whereas the worthless ones sold for only $2 each. Monongahela spent $111 and bought three more expensive ones than worthless ones. How may of each kind did she buy.
THE ANSWER IS 10 WORTHLESS ONES AND 13 EXPENSIVE ONES. I WANT TO KNOW HOW DID THEY GET THAT.
PLEASE AND THANK YOU

Click here to see answer by tutorcecilia(2152) About Me 

Question 48146: Solve the problem.

Photobucket - Video and Image Hosting

Click here to see answer by cowess(34) About Me 

Question 48120: A right triangle has an area of 84 ft^2 and a hypotenuse 25 ft long. What are the lengths of its other two sides?
Thank you so much!

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Question 48177: The length of a rectangle is 1 cm more than the width. If the perimeter of the rectangle is 6 cm, what are the dimensions of the rectangle?

Click here to see answer by jake_6233(74) About Me 

Question 48441: Solve the problem.
A lot is in the shape of a right triangle. The shorter leg measures 120m. THe hypotenuse is 40m longer than the length of the longer leg. How long is the longer leg?

Click here to see answer by Nate(3500) About Me 

Question 48750: A rectangular swimming pool is 12 meters wide and 14 meters long. Surrounding the pool is a concrete walkway of uniform width. The combined area of the pool and walkway is 360 square meters. Find the width of the walkway.
Thank you so much. I have been trying to solve this problem all summer, but just can't.

Click here to see answer by checkley71(8403) About Me 

Question 48912: Perimeter or a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.
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Question 48964: This question is squaring a binominal. I hope this is the right place.
Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other was actually 2 feet shorter than he thought. How much less area does he have than he thought he had? This question is looking for squaring a binominal

Click here to see answer by cowess(34) About Me 

Question 49046: a 15 ft ladder leans against a building. the bottom of the ladder is 7ft. from the building. how high is the top of the ladder? round to 2 decimal places
Click here to see answer by Nate(3500) About Me 

Question 49079: The Farmer has 3 fields. One field is an equilateral triangle. One field is a circle. One field is a square. The square field is 75% larger in area than the triangular field. The square field is 50% larger in area than the circular field. In order to completely fence all three fields exactly 4000 meters of fencing is required. What is the total area of all three fields?
This is presented to me as a conundrum. I have worked the problem thus far:
a= circle area
x= triangle area
n= square area
n=x%2B%28.75%2Ax%29
n=a%2B%28.5%2Aa%29
n=1.75%2Ax=1.5%2Aa
2 times Pi times the radius is a circle's circumference
4 times the length of a side is a square's perimeter
3 times the length of a side is an equilateral triangle's perimeter
Pi times the radius of the circle squared is the circle's area
The length of the side of the square squared is the square's area
Base times Height of a triangle is the triangle's area
I am sort of fuzzy about how to find the height of the equilateral triangle, but I suspect I need to know the Pythagorean theorem, which I don't remember from college.
My equation to find all the perimeter's is:
4000=%282%2APi%2Ar%29%2B%284s%29%2B%283t%29
Thank you for your help. By the way, I have been placed under a time limit of Wednesday night to achieve the answer.

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Question 49108: How many real numbers x satisfy this equation?

| | | x - 2 | - 4 | - 5 | = 1



Thanks again!

Click here to see answer by Born2TeachMath(20) About Me 

Question 49187: A staff member of a local university reported the following: “Out of one senior class of 500 students, 281 are taking English, 196 are taking English and History, 87 are taking History and a foreign language, 143 are taking foreign language and English, and 36 are taking all three.” Later in the week she was fired. Explain why.
Click here to see answer by josmiceli(19441) About Me 

Question 49327: A woodman chops a halfway through a tree having a diameter of 2 meters. One face of the cut being horizontal and the other inclined at 60 degrees. Find the volume of the wood cut out. I know the answer is 1.155 cu. units, but how can we arrive at that answer?
Click here to see answer by kev82(151) About Me 

Question 49567: The measure of one angle of a triangle is 30 degrees less than the measute of the second angle. The measure of the third angle is 20 degrees less than the sum of the measures of the other two. find the measures of each angle of the triangle.
sorry, I have been trying to solve this but I can't
-mc

Click here to see answer by Earlsdon(6294) About Me 

Question 49735: the length of a rectangle is 2 inches more than twice its width, if the perimeter of the rectangle is 34 inches, find the dimensions of the rectangle.
please help solve this.

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Question 49768: I am actually baffled, I am asking this for my daughter, I cannot help her because my math is very limited so even if I read how to solve I would not get very far. It is a story problem involving geometry (I think). Here is her story problem question:
To promote a new delivery service, Pizzaroo is including a free Collectable Card with every pizza purchase. What a deal! So you decided to order a Jelly Bean Pizza. Yum!
When the pizza arrived, you noticed that the free Collectable Card was in the corner of the square box, so that its corner just barely touched the outside of the perfectly-circular pizza. The Collectable Card measures exactly 140 mm by 70 mm.

What is the diameter of the pizza, in millimetres? Please round to the nearest millimetre.

Thanks for your help in advance!



Click here to see answer by venugopalramana(3286) About Me 

Question 49784: The base of a ladder is 10 feet away from the wall. The top of the ladder is 11 feet from the floor. Find the length of the ladder to the nearest thousandth.
Click here to see answer by Earlsdon(6294) About Me 
Question 49784: The base of a ladder is 10 feet away from the wall. The top of the ladder is 11 feet from the floor. Find the length of the ladder to the nearest thousandth.
Click here to see answer by AnlytcPhil(1806) About Me 

Question 49842: how do you simplify the ratio like 4kg/600g
Click here to see answer by venugopalramana(3286) About Me 

Question 50003: A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?
Click here to see answer by Paul(988) About Me 

Question 50139: Sales of a software company increased linearly from $120,000 in 1996 to $180,000 in 1999
A) find an equation that expresses the sales (y) in year (x) (where (x)= 0 corresponds to 1996)
and
B) estimate the sales in 2001

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Question 50351: At a delicatessen, ham costs $2.49 per pound and Swiss cheese costs $3.79 per pound. The customer has $9.50 to spend on 2 pounds of ham and some cheese. How much cheese can she purchase? Write an equation and solve it.
Click here to see answer by rapaljer(4671) About Me 

Question 50355: Jamie and her friends brought 1 cheese pizza, 1 mashroom pizza and 1 pepperoni pizza. The cost of each include tax are:
Cheese $7.95
Mashroom $8.95
Pepporni 8.45
Each Pizza consit 0f 8 slices. Jamie ate 1 slice of cheese, 2 slices of mashroom, and 1 slice of pepporni. What was the cost of the pizza that Jamie ate to the nearest tenth?

Click here to see answer by tutorcecilia(2152) About Me 

Question 50525: Please help me thank you so much!
A man who is 6 feet tall casts a shadow 8.4 feet long. A nearby building casts a shadow that is 42ft long. How high is the building?

Click here to see answer by seawind(8) About Me 

Question 50639: Peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller square feed lots. If he uses 480 ft of fencing, then how much area will be filled in?
The answer in the back of the book is 6400ft squared.

Click here to see answer by stanbon(75887) About Me 
Question 50639: Peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller square feed lots. If he uses 480 ft of fencing, then how much area will be filled in?
The answer in the back of the book is 6400ft squared.

Click here to see answer by checkley71(8403) About Me 

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