Tutors Answer Your Questions about Human-and-algebraic-language (FREE)
Question 169680: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 6 feet shorter and the other 5 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 29 feet, so that it does not cover a huge area of the garden. Determine the length of each side of the triangular area that Jenny has visualized.
Click here to see answer by stanbon(57967)  |
Question 170081: 2. A student writes down the following as part of her response:
a ) 32 ´ 33 = 729. and b) 3 -2 = -9.
Are her answers correct? If not, explain why you think her answers are incorrect.
Include in your explanation what she did wrong, if any.
What would you advise her to do instead?
Click here to see answer by stanbon(57967) |
Question 170080: 1. A) Write the sentence (-x)2 ¹ -x2 in words.
In your own words explain why (-x)2 and -x2 are not equivalent. Provide an example to support your explanation.
B) Evaluate (a) 3x0 and (b) (3x)0 when x is not 0. Are the results different? If so, explain in your own words why they are different. If not, then state so.
Click here to see answer by stanbon(57967) |
Question 170086: 2. A student writes down the following as part of her response:
a ) 3^2 x 3^3 = 729. and b) 3^-2 = -9.
Are her answers correct? If not, explain why you think her answers are incorrect.
Include in your explanation what she did wrong, if any.
What would you advise her to do instead?
Click here to see answer by stanbon(57967) |
Question 170233: 2. A cubic support unit in a television is made with a side measuring 2.5 centimeters. A new model being designed for the upcoming year will have a larger cube with a side measuring 2.8 centimeters. By how much will the volume of the cube be increased?
Click here to see answer by checkley77(12569) |
Question 170232: 1. A triangular window of height 15 inches and base 21 inches is to be laminated with a sunblock coating that costs $1.22 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Hint: Area of Triangle: A = base*height/2)
Click here to see answer by nerdybill(7003)  |
Question 170232: 1. A triangular window of height 15 inches and base 21 inches is to be laminated with a sunblock coating that costs $1.22 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Hint: Area of Triangle: A = base*height/2)
Click here to see answer by checkley77(12569) |
Question 170274: 7. One common use of positive and negative exponents is in writing numbers as scientific notation. For example 0.000052 can be written as 5.2 10-5. A) Use scientific notation and the laws of exponents to evaluate (0.000054)(0.00000033)(0.013). Leave your answer in scientific notation. B) If a space probe travels at 12 kilometers per second for 10 years, how far will it travel? Write your answer in scientific notation. (Assume 1 year = 365 days)
Scientific Notation: A number is expressed in scientific notation when it is in the form a x 10n, where a is greater than or equal to 1 but less than 10 and n is an integer.
Click here to see answer by Alan3354(31518)  |
Question 170272: 5. A concrete driveway measures 14 yards by 5 yards. The driveway will be 0.75 yards thick. (a) How many cubic yards of concrete will be needed? (b) How much will it cost if concrete is $4.75 per cubic yard?
Click here to see answer by Earlsdon(6294) |
Question 170386: 6. For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 54 square inches of cake. How many batches of the topping must he make to complete his torte? (Use p = 3.14 as an approximate value)
Click here to see answer by checkley77(12569) |
Question 170384: 4. A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
Click here to see answer by Mathtut(3670) |
Question 170273: 6. For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 54 square inches of cake. How many batches of the topping must he make to complete his torte? (Use = 3.14 as an approximate value)
Click here to see answer by checkley77(12569) |
Question 170270: 4. A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
Click here to see answer by Mathtut(3670) |
Question 170662: a 53inch pipe is cut into four pieces. the first two pieces are the same. the third piece is 4 times longer than the first piece. the fourth piece is 5 more than 3 times longer than the second piece. find the equation and the length of the four pieces
Click here to see answer by Mathtut(3670) |
Question 170681: Imagine a rope wrapped around Earth at the equator (Earth's circumference C). Then think of adding d feet to the rope's length so it can now circle Earth at a distance h feet above the equator at all points. Length of rope = C + d
Write an equation to model this situation.
Click here to see answer by ankor@dixie-net.com(15746)  |
Question 173050: Hello,
I have a question on the below problem. Would I use the equation a^2 + b^2 = c^2 for this problem? If so would the answer be:
12^2 + 8^2 = C^2
c = 14.42 (the pieces should be 14.42 feet)
Q. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall. How long should the pieces of PVC plumbing pipe be?
Click here to see answer by gonzo(654) |
Question 173055: Hello,
I have a question involving the below questions (d, e and f). I have a demand and profit equation:
Demand equation: P = -x + 62
Profit equation: P = -x^2 + 56x – 300
I’m pretty sure the answers (a,b and c) are correct using the Profit equation
a. What is the profit made from selling 20 tile sets per month? $420
b. What is the profit made from selling 25 tile sets each month? $475
c. What is the profit made from selling no tile sets each month? -$300
Where I’m lost is on questions (d, e and f) below. Is there any way to figure this out? I never heard of trial and error to find a solution? I really would appreciate any help.
d. Use trial and error to find the quantity of tile sets per month that yields the highest profit. (I guess the Profit equation above would be used but how?)
e. How much profit would you earn from the number you found in part question “d”?
f. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from above)?
Click here to see answer by stanbon(57967) |
Question 173305: A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection
Click here to see answer by solver91311(17077)  |
Question 173493: two trains leave a station at the same time, heading in opposite directions. One train is traveling at 80 km/h, the other at 90 km/h. how long will it take for the trains to be 425 km apart?
Click here to see answer by gonzo(654) |
Question 174592: a small park is in the shape of a rectangle that measures 525 feet by 468 feet.
a.) find the number of feet of fencing that would be needed to enclose the park. Express your answer to the nearest foot.
i tried answering it by finding the area and dividing it by 4 to get the answer to one side of the rectangle. this way i could find how much fencing i would need on one side. but the part that messed me up is the last sentance. please and thank you, D.
Click here to see answer by Mathtut(3670) |
Question 174599: an ice cream stand sells single dip cones for $1.75 and double dip cones for 2.25. Yesterday, 500 cones were sold for $930. how many single dip cones and how many double dip cones were sold?
my method of trying to solve this problem was to divide 1.75 by 930, but it got me way past the number that i was looking for. then i did an algebraic equation: 1.75x + 2.25x= 930 and when i solved it i got x=232.50. but they are asking how many EACH were sold. so i figured that if i divided this number by 1.75 and again by 2.25, i wouldnt get the desired result. if you could help this would make my day. please and thank you. D
Click here to see answer by stanbon(57967) |
Question 174757: If the average of three numbersis V. If one of the numbers is Z and another is why, what is the remaining number. If you guy's email me the steps to complete this question and get the answer you guys will make my day! My question is not from a textbook.
Click here to see answer by Mathtut(3670) |
Question 177477: farmer frannie has a farm. and onthat arm, she has only ducks and pigs. she is taking inventory and writes down that she has a total of 20 animals. then she writes that those animals have a total of 64 legs. how many of each type of animal does she have?
Click here to see answer by stanbon(57967) |
Question 178006: Hello, I don't know how to make and equation out of this. - thanks
Your watch loses 1 1/2 sec every hour. You have a friend whose watch gains 1 second every hour. The watches show the same time now. After how many more seconds will they show the same time again?
Click here to see answer by Alan3354(31518) |
Question 178290: The fraction of students that are interested in a new brand of sneakers is twice the fraction of those that are not. The fraction of students who are not interested is 1/x. Those who expressed no opinion in the sneakers were 10% of the students who were intersted. What percent of students were interested?
Click here to see answer by stanbon(57967) |
Question 178772: The base of a closed rectangular box has length equal to 3 times its width, which is w inches; its height is 6 in. less than its width. Express the surface area, S, of the box as a function of w.
I've tried this several different times, but for some reason I just can't get the same answer that is in the back of the book.
Click here to see answer by Fombitz(13828)  |
Question 179569: Tom's home is 1,800 m from his school. One morning he walked part of the way to school and then ran the rest. If it took him 20 minutes or less to get to school, and he walks at 70m/min and runs 210m/min, how far did he run?
Click here to see answer by josmiceli(9817)  |
Question 180067: 1. Explain the following in your own words: (a + b)2 ≠ a2 + b2. Give a numerical example to illustrate this.
3. Add -5 to both sides of the inequality 7 > 1. Then divide both sides of the inequality -25 > -30 by -6. Explain in your own words what happens in both examples and when the direction of the inequality symbol is reversed.
Click here to see answer by solver91311(17077) |
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