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Tutors Answer Your Questions about Evaluation Word Problems (FREE)
Question 32214: The intensity of light X, measured in foot-candles, varies inversely as the square of the distance from the light d. If X=4/5 foot-candles when the distance is 20 feet. Find the constant of varieation and then find the intensity when the distance is 16 feet.
K=___________________
Answer_______________
Click here to see answer by venugopalramana(3286)   |
Question 32416: The intensity of light L, measured in foot-candles, varies inversely as the square of the distance from the light d. if L=4/5 foot-candles when the distance is 20 feet. Find the constant of variation and then find the intensity when the distance is 16 feet.
K=___________
answer________________
Click here to see answer by mukhopadhyay(490)  |
Question 32592: The volume of a cone varies jointly as the square of its radius and its height. If the volume of a cone is 32pi cubic inches when the radius is 4 inches and the height is 6 inches, find the volume of a cone when the radius is 3 inches and the height is 5 inches.
Click here to see answer by mukhopadhyay(490) |
Question 32591: If the voltage V is an electric circuit is held constant, the current I is inversely proportional to the resistance R. If the current is 40 amperes when the resistance is 270 ohms, find the current when the resistance is 150 ohms.
Click here to see answer by Paul(988) |
Question 32591: If the voltage V is an electric circuit is held constant, the current I is inversely proportional to the resistance R. If the current is 40 amperes when the resistance is 270 ohms, find the current when the resistance is 150 ohms.
Click here to see answer by mukhopadhyay(490) |
Question 32730: Oneday, 45 frogs were captured from a pond, marked and then returned to the pond. The next day, 40 frogs were observed in the pond, of which 10 had been marked the previous day.Assuming the marked frogs are equally distributed among all the frogs in the pond, what is the best estimate of how many frogs live in the pond?
Click here to see answer by stanbon(26268) |
Question 34808: Here is the problem: One day,a husband and wife are working in their garden. While watering the grass, the wife holds the hose horizontally and the water flows from the end of the hose. She twists the nozzle of the hose to partially close it and suddenly the water shoots farther from the end of the hose. This seems odd to her husband, who wonders, "Why does the stream of water travel farther, since it appears that less water is flowing from the end of the hose?"
My challenge is to give a scientific explanation for this seemingly unnatural phenomenon. I have to use a few different ways to solve this. And I also have to use the continuity Equation. Can you help me with this?
Click here to see answer by longjonsilver(2297)  |
Question 35204This question is from textbook Mathematics for Elementary Teachers
: Okay I'm confused. Here is the problem:
A girl bought some pencils, erasers, and paper clips at the stationary store. The pencils cost 10 cents each, the erasers cost 5 cents each, and the clips cost 2 for 1 cent. If she bought 100 items altogether at a total cost of $1, how many of each item did she buy?
I set up the variables as such:
X=the number of pencils
Y=the number of erasers
Z=the number of paper clips
THen set up the problem
X+Y+Z= 100
.10X + .05Y +.01 Z/2 = 1.00
I tried solving for X, but it still left two variables. So I tried to substitue for X then solve for Y. Needless to say I came up with bunk. My sister, nephew and I spent 3 hours on this problem and can't seem to solve it. My homework is due next week and as it is the last 3 weeks of school I am trying to get it out of the way. ANy help you can give would be greatly appreciated.
Sincerely Jennifer SmithThis question is from textbook Mathematics for Elementary Teachers
Click here to see answer by venugopalramana(3286) |
Question 35926: One gear turns 33&1/3 times in a minute. Another gear turns 45 times in a minute. Initially, a mark on each gear is pointing due north. After how many seconds will the two gears next have both their marks pointing due north?
Click here to see answer by checkley71(8405) |
Question 36545: 1)Two high school classes took the same test. One class of 20 students made an average grade of 80%; the other class of 30 students made an average grade of 70%. What is the average grade for all students in both classes?
2)The marching band of Success University is practicing for a drill. Two hundred members equally spaced form a large circle and each member is numbered consecutively. What is the number of the member who stands directly across from number 9?
3)Mary’s age is twice Tom’s age and one-third of Sally’s age. If the sum of their ages is 99, how old is Mary?
4)If a 5x9x12 rectangular block of wood is painted red and then cut into 540 1x1x1 cubes, how many cubes will have red paint on them?
Click here to see answer by checkley71(8405) |
Question 36562: 1) A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of 12 cm, what was the area of the original square?
2) Find the value of the digit A if the 5-digit number 12A3B is divisible by both 4 and 9, and A=/B (The sign between the A and B is actually an equal sign with a slash going through it, not sure what it means).
3) What is the sum of the digits used to form the integers from 45 to 100, inclusive?
Click here to see answer by stanbon(26268) |
Question 39128: A set of tiles numbered 1 through 100 is modified repeatedly by the folowing operation: remove all tiles numbered with a perfect square, & renumber the remaining tiles consecutively strarting with 1. Howmany times must the operation be performed to reduce thenumber of tiles in the set to one?
Click here to see answer by fractalier(1804)  |
Question 43575: A baseball is hit into the air so that the number of feet s above the ground after t seconds is given by s=-16t^2+96t. How long will it take to first reach a height of 144 feet above the ground? Thank you for your help.
Click here to see answer by stanbon(26268) |
Question 43830: Fahrenheit and Celsius temperatures are related by the equation F=(9/5)C+32, where F is the temperature in degrees Fahrenheit and C is the temperature on the Celsius scale. If the temperature is a balmy 77 degrees Fahrenheit, what is the temperature on the Celsius scale?
Click here to see answer by tutorcecilia(2042) |
Question 48949: A reservoir has two drain systems, large & small. Six large drains, on their own, can drain the reservoir in 12 hours. Three large pipes and 9 small pipes can drain it in 8 hours. How long will it take 5 small pipes to drain the reservoir.
Click here to see answer by venugopalramana(3286) |
Question 50733: I have tried to solves these 2 problems...find two consecutive intergers such that five the first(label it as x) is ninety-seven more than three times the second. I wrote x +3x+97.
the second problem is ..the perimeter of a rectangle is 36 feet, find the length and width if the length is 2 feet more than the width. I wrote x+2x+36
any help you can give will be appreciated..thank you
Click here to see answer by checkley71(8405) |
Question 53761This question is from textbook Prentice Hall Pre Algebra
: Write an expression for each situation. Simplify.
41. Six bus loads containing x students each came to band day from one school, 7 bus loads containing x students came from another school. Fourteen students came by car.
42. Arlene unloaded 4 boxes each containing v video tapes and 3 boxes each containing y + 2 video tapes.
43. Janet brought 3 folders costing x cents each and 2 report covers costing x cents each. She also purchased 1 binder for $1.89
44. Mr. Unruh purchased 5 movie tickets for x dollars each. He also purchased a soda or $1.25 and popcorn for $2.25.This question is from textbook Prentice Hall Pre Algebra
Click here to see answer by stanbon(26268) |
Question 37942: Write this phrase in algebraic terms: Seven times the sum of a number and a second
number is the product of five and the second number.
A) 7x + y = 5y B) 7(x + y) = 5 + y C) 7x + y = 5 + y D) 7(x + y) = 5y
Click here to see answer by stanbon(26268) |
Question 53531: In the following figure:
A B C
--------D
--------E F G
------------H
------------I
Each of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 is:
a) Represented by a different letter in the figure above.
b) Positioned in the figure above so that each of A + B + C, C + D +E, E + F + G, and G + H + I is equal to 13. Which digit does E represent?
Click here to see answer by checkley71(8405) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630
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