Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 886052: Minimum Cost: A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1,000 square feet. Fencing for the side parallel to the river is $5 per linear foot, and fencing for the other two sides is $8 per linear foot; the four corner posts are $25 apiece. Let x be the length of one of the sides perpendicular to the river.
a) Write a function C(x) that describes the cost of the project.
b) What is the domain of C?
I don't know exactly how to do this. Any suggestions on what I mess up on is greatly appreciated.
4 * 25 = 100 NOT A VARIABLE COST
5y * 8x = 1,000 I put it like this because it is a rectangle and I was trying to get the area. So I multiplied l * w.
5y * 8x - 5y = 1,000 - 5y
8x = -5y + 1,000
8x - 1,000 = -5y + 1,000 - 1,000
8x - 1,000 = -5y
8x - 1,000 / -5 = -5y / -5
-8/5x - 200
C(x) = - 8/5x - 200
I was told it was wrong. I've also tried the following.
8x^2 + 5 y + 100 = 1000
8x^2 5y + 100 - 100 = 1000 - 100
8x^2 + 5y = 900
8x^2 + 5y - 8x^2 = -8x^2 + 900
5y = -8x^2 + 900
5y / 5 = -8x2 + 900 / 5
y = -8/5x^2 +180
8x + 8x + 5y + 100 = 1000
16x + 5y + 100 = 1000
16x + 5y + 100 - 100 = 1000 - 100
16x + 5y = 900
16x + 5y - 16x = -16x + 900
5y = -16x + 900
5y / 5 = -16x + 900 / 5
y = -16/5x + 180
I'm not sure how to explain the cost of the project or to find the domain either.
Thank you in advance. Chastity Moore
Click here to see answer by Theo(13342)  |
Question 886274: Help with this problem, please.
The number of first -year enrollment in obsteopathy schools during the period from 1990 through 1996, can be approximated by the polynomial funcation defined by f(x)=0.5x^2+68.9x+1852, where x=0 corresponds to 1990, x=1 corresponds to 1991, and so on. Based on this model, how many first -year students were there in 1993?
Click here to see answer by jim_thompson5910(35256) |
Question 886386: The area of a rectangle is 42 ft. squared, , and the length of the rectangle is 11 ft. less than three times the width. Find the dimensions of the rectangle:
Length: ft.
Width: ft.
PLEASE HELP!
THANK YOU :)
Click here to see answer by stanbon(75887) |
Question 886533: Two ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship B is sailing into harbor on a course perpendicular to that of ship A. If the angle between them is 47 degrees, how far is ship B from the harbor? Round the answer to the nearest tenth.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 886814: Please help me solve this problem: A ball is projected upward from ground level. After t seconds, its height in feet is a function defined by f(t)=-16t^2 + 96t. After how many seconds will it reach a height of 128 feet?
Click here to see answer by Alan3354(69443)  |
Question 886813: Please help me solve this problem: If an object is projected upward with an initial velocity of 112 feet per second from a height h of 128 feet, then its height t sec after it is projected is defined by the equation h=-16t^2+112t+128. How many sec after it is projected will it hit the ground?
Click here to see answer by richwmiller(17219)  |
Question 886812: Please help me solve this problem: A box with no top is to be constructed from a piece of cardboard whose width measures x cm and whose length measures 6 cm more than its width. The box is to be formed by cutting squares that measure 2 cm on each side from the four corners, and then folding up the sides. If the volume of the box will be 182 cm^3, what are the dimensions of the piece of cardboard?
Click here to see answer by josmiceli(19441)  |
Question 887031: The Smiths are considering getting hardwood floors in their living room. The room is rectangular with dimensions 25 feet by 32 feet. If hardwood floors cost $12.25 per square foot, how much will it cost the Smiths to have their living room covered.
Click here to see answer by Alan3354(69443)  |
Question 887180: Two gardens are being fenced in. Both gardens will require the same amount of fencing (both gardens have the same perimeter in meters). One garden is the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 7 meters longer than each side of the square. Find the dimensions of the gardens?
Click here to see answer by josgarithmetic(39617) |
Question 887310: Please help me solve this: A ball is projected upward from ground level. After t seconds, its height in feet is a function defined by f(t)= -16t^2 + 96t. After how many seconds will it reach a height of 128 feet?
Click here to see answer by Alan3354(69443)  |
Question 887309: Please help me solve this: If an object is projected upward with an initial velocity of 112 feet per second from a height of 128 feet, then its height t seconds after it is projected is defined by the equation h= -16t^2 + 112t + 128. How many seconds after it is projected will it hit the ground?
Click here to see answer by Alan3354(69443)  |
Question 887311: Please help me solve this: A box with no top is to be constructed from a piece of cardboard whose width measures x cm and whose length measures 6 cm more than its width. The box is to be formed by cutting squares that measure 2 cm on each side from the 4 corners, and then folding up the sides. If the volume of the box will be 182 cm^3, what are the dimensions of the piece of cardboard?
Click here to see answer by josgarithmetic(39617) |
Question 887311: Please help me solve this: A box with no top is to be constructed from a piece of cardboard whose width measures x cm and whose length measures 6 cm more than its width. The box is to be formed by cutting squares that measure 2 cm on each side from the 4 corners, and then folding up the sides. If the volume of the box will be 182 cm^3, what are the dimensions of the piece of cardboard?
Click here to see answer by MathTherapy(10552)  |
Question 887877: The length of one leg of a right triangle is 7 centimeters more than that of the other leg. the length of the hypotenuse is 3 centimeters more than double that of the shorter leg. find the length of each of the three sides of the three sides.
x+7
2x+3
x
Click here to see answer by 2897696(96)  |
Question 888030: The area of a rectangle is 352 square inches. The measure of each of the shorter sides equals the perimeter of a square with 4-inch sides. What is the measure of each of the longer sides of the rectangle?
Click here to see answer by KMST(5328)  |
Question 888234: Not sure about number 1 and stuck on number 2 & 3. Can you help me with these?
1. A race car can travel 2 laps in 5 minutes. At this rate how long will it take him to travel 75 laps?
2. The ratio of apples to oranges in fruit bowl is 1 to 4. If there are 5 apples in the bowl how many oranges are there?
3. Which car is traveling faster? Car 1: 300 miles in 5 hours Car 2: 250 miles in 4 hours
Click here to see answer by josgarithmetic(39617) |
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