Questions on Word Problems: Geometry answered by real tutors!

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Question 163280: What are the x-intercept and y-intercept of a linear equation?
(ii) What are their coordinates on a graph?
Coordinates are the points through which line passes.
(iii) How can they be used to graph a line?
If we are given 2 coordinates of the line, locate the two points. A line joining these two points will be required line.
iv)Demonstrate by determining the intercepts of "14x + 7y = 21".

Click here to see answer by vleith(2825)

Question 163505: Solve the following equations.
1) 2x = 7x + 2
2x - 7x = 7x - 7x + 2
-5x = 2
x = -2/5

2) y/5 = 4
y/5 * 5 = 4 * 5 (Multiply both sides by 5)
y = 20

3) x/2 - 3 = 4
x/2 - 3 + 3 = 4 + 3
x/2 = 7 (Multiply both sides by 2)
x = 14

4. OH NUTS! SELLS CASHEWS FOR $6.75 PER POUND AND BRAZIL NUTS FOR $5.00 PER POUND. HOW MUCH OF EACH TYPE SHOULD BE USED TO MAKE A 50lb MIXTURE THAT SELLS FOR $5.70 PER POUND?

5. Try 5x - 7y = 35
What are the x and y intercepts? Graph your answer use any method of your choice to solve.

Click here to see answer by KnightOwlTutor(293)

Question 163790: Find the area of a cement walk 3 feet wide that surrounds a rectangular plot of ground 86 feet long and 42 feet wide?
Click here to see answer by stanbon(57967)

Question 163791: A circular pool is 34 feet in diameter and has a flag stone walk around it that is 3 feet wide. Find the area of the walk. Express the answer in terms of pie.
Click here to see answer by stanbon(57967)

Question 163792: (1). How can $5,400 be invested, part of it at 8% and the rest of it invested at 10%, so that the two investments will produce the same amount of interest.
(2). Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hours faster than the other car. Find the speed their speeds if after 5 hrs they are 520 miles apart.
(3). A tamk contains 50 gallons of a 40% solution of anitfreeze. How much solution needs to be drained out and replaced with pure anti-freeze to obtain 50% solution?
Click here to see answer by stanbon(57967)

Question 163826: The width of a certain rectangle exceeds twice its length by three inches, and four times its lenght is twelve less than its perimeter. Find the dimensions of the rectangle.
this is what i have so far, but am stuck.
P=2L+2W
W=2L+3
P=2L+2(2L+3)
Click here to see answer by Fombitz(13828)

Question 163842: The length of a rectangle is 7 units more than its width. If the width is doubled and the length is increased by 2, the area is increased by 42 square units. Use an algebraic solution to find the dimensions of the original rectangle.
Click here to see answer by nerdybill(7003)

Question 163911: 1. this has to do with complementary and supplementary angles word problem.
The supplement of an angle added to the complment of the angle gives 210 degrees. What is the measure of the angle?
2. the second question has to do with finding a perimeter
P=278
5x+1 length x width 5x+1 length and x for width. Im basically working with an upside down rectangle like a cylinder.
Click here to see answer by orca(409)

Question 163950: a cylindrical vessel, without lid, has to be tin-coated on its both sides. if the radius of the base is 70cm and its height is 1.4m, calculate the cost of tin coating at the rate of Rs3.50 per 1000m2.

Click here to see answer by gonzo(654)

Question 164054: Translate the following into a quadratic equation and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are the dimensions?
Click here to see answer by oscargut(900)

Question 164518: Please help me solve this Word problem:
The length of a rectangle is 3cm greater than its width. Find its dimensions, if the perimeter of the rectangle is 26cm.
Click here to see answer by jim_thompson5910(28715)

Question 164571: Suppose a right triangle has a hypotenuse which is 2 cm longer than one leg and 9 cm longer than the other leg. Find the area of this right triangle.
Click here to see answer by stanbon(57967)

Question 164529: Please help me solve this Word Problem:
Kelly had 12 dollars and spent x dollars. Ami had 6 dollars an collected x dollars. The two girls then had the same amount of money. Form an equation and solve it to find the value of x.
Click here to see answer by ptaylor(2052)

Question 164604: The perimeter of one square exceeds that of another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each side of each square?
Click here to see answer by Fombitz(13828)

Question 164713: What is the perimeter of a rectangle 29 in wide, 22 in long?
Click here to see answer by edjones(7569)

Question 164700: The measure of an angle is 20 degrees less than three times its supplement. Find the measure of each angle.
I need to find out how to do this proble, my teacher already gave me the answer.
Click here to see answer by checkley77(12569)

Question 164854: The legs of a right triangle differ by 2 cm. and the hypotenuse is 4 cm. more than the shorter leg. Find the sides of the triangle?
please give the answer QUICKLY because I need to submit this tomorrow...tnx
Click here to see answer by MRperkins(300)

Question 164862: The perimeter of one square exceeds that of another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each side of each square?
Click here to see answer by gonzo(654)

Question 164951: order these from least to grestest 2/5 3/4 2/3
Click here to see answer by nerdybill(7003)

Question 164951: order these from least to grestest 2/5 3/4 2/3
Click here to see answer by checkley77(12569)

Question 165023: the width of the rectangle is one-fourth of its length. if the perimeter is 40cm, find the dimensions of the rectangle.
Click here to see answer by ptaylor(2052)

Question 165148: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by orca(409)

Question 165149: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by nerdybill(7003)

Question 165147: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by nerdybill(7003)

Question 165146: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by nerdybill(7003)

Question 165257: The width of a rectangle is 3 feet less than its length. If the perimeter is 22 feet, what is the width? (Pre-Algebra) By Charles P. Mckeague, fifth addition.

Click here to see answer by nerdybill(7003)

Question 165358: the perimeter of a rectangle is 66 ft. the width is 15 ft less than 1/2 the length. find the dimensions of the figure.
i am helping my niece with her homework and haven't done algebra or geometry in forever. i viewed the list of solved problems and found 2 that are similar. i got as far as p=2w+2l, 66=30-? instead of +?...and then i'm stuck because of the fraction too. thanks, jeho
textbook: algebra2 with geometry
Click here to see answer by Mathtut(3670)

Question 165515: A circular pool is 34 feet in diameter and has a flag stone walk around it that is 3 feet wide. Find the area of the walk. Express the answer in terms of pie
Click here to see answer by Mathtut(3670)

Question 165522: Please tell me how to do this problem (step-x-step). I just don't get these and I really want to understand what I'm doing. The instructor also gave a way to use the TI-83 for solving but I couldn't follow him.
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 126 cubic inches, find the dimensions of the box.
Thanks for taking the time to help me.
Click here to see answer by gonzo(654)

Question 165519: A tank contains 50 gallons of a 40% solution of anti-freeze. How much solution needs to be drained out and replaced with pure anti-freeze to obtain a 50% solution?
Click here to see answer by Mathtut(3670)

Question 165568: one leg of a right triangle is 14 inches longer than the smaller leg, and the hypotenuse is 16 inch longer than the smaller leg. find the lengths of the sides of the triangle
Click here to see answer by josmiceli(9817)

Question 165571: represent each given condition using a single variable, x.
the base and height of a triangle whose height is five less than four times its base.

Click here to see answer by jojo14344(1512)

Question 165645: The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this.
Click here to see answer by Alan3354(31519)

Question 165520: How can $5400 be invested, part of it at 8% and the rest of it invested at 10%, so that the two investments will produce the same amount of interst?
Click here to see answer by checkley77(12569)

Question 165518: We have 20% alcohol solution and a 50% solution. How many pints must be used from each to obtain 8 pints of a 30% solution?
Click here to see answer by checkley77(12569)

Question 165516: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hours faster than the other car. Find the speed their speeds if after 5 hours they are 520 miles apart.
Click here to see answer by checkley77(12569)

Question 165513: Find the area of a cement walk 3 feet wide that surronds a rectangular plot of ground 86 feet long and 42 feet wide
Click here to see answer by checkley77(12569)

Question 165662: the width of a rectangle is 3 feet less than its length. if the perimeter is 22 feet, what are both its length and width?
Click here to see answer by Mathtut(3670)

Question 165662: the width of a rectangle is 3 feet less than its length. if the perimeter is 22 feet, what are both its length and width?
Click here to see answer by midwood_trail(310)

Question 165644: The problem is - a rectangle has an area of 16ft^2. Every dimension is multiplied by a scale factor, and the new rectangle has an area of 64ft^2. What was the scale factor? The answer is to be formatted as "k = " I have no idea how to go about doing this problem. Can you help me, please?
Click here to see answer by gonzo(654)

Question 165761: julie measures the width of her classroom as 290 inches. what is the width of the classroom in feet and inches.
Click here to see answer by jojo14344(1512)

Question 165764: a carpet layer wishes to determine the cost of carpeting a rectangular room whose perimeter is 52 feet. Suppose that the length of the room is 4 feet more than its width. Find
(a) the length and width of the room
(b) the cost of the carpet if it costs $18.95 per square yard
Need help setting up this problem
Click here to see answer by Mathtut(3670)

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