Tutors Answer Your Questions about Human-and-algebraic-language (FREE)
Question 57832: 15. Translate the following statement into an algebraic equaion. Let x represent the number.
12 less than 5 times a number is 18.
A) 5x – 12 = 18
B) 12 – 5x = 18
C) (12 – 5)x = 18
D) (5 – 12)x = 18
Thankyou for your time!!!!
Click here to see answer by funmath(2925)  |
Question 58071: I have a question about one of my word problems. If you could help that would be great.
How far west can a pilot go and return in a total time of 3 hours if his air speed is 450 mph and the wind velocity from the west is 5 mph?
Any help with this would be great. Thanks.
Click here to see answer by stanbon(57967) |
Question 58071: I have a question about one of my word problems. If you could help that would be great.
How far west can a pilot go and return in a total time of 3 hours if his air speed is 450 mph and the wind velocity from the west is 5 mph?
Any help with this would be great. Thanks.
Click here to see answer by hayek(51) |
Question 58508: Michael bought two used cars and fixed them up. He sold the first one for a 35% profit and the second for a 15% profit. He made a total profit of 2,640 by selling these cars.The price that Michael paid for the first car was 2,600 less than the price for the second car. What was the selling price of each car.
Click here to see answer by ankor@dixie-net.com(15746)  |
Question 58644: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s=-16t2+v0t+s0
* 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2)
* v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
* s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0=0
a) What is the function that describes this problem?
b) The ball will be how high above the ground after 1 second?
c) How long will it take to hit the ground?
d) What is the maximum height of the ball?
Click here to see answer by funmath(2925) |
Question 58978: James bought eight postage stamps for which he paid $18.40. Some were 1 cent stamps and some were 33 cent stamps. How many of each kind did he buy?
I tried making x the number of 33 cent stamps and y the number of 1 cent stamps. but I am not sure how to incorporate the total number with the total price. Please help, any help is greatly appreciated.
Click here to see answer by ankor@dixie-net.com(15746) |
Question 59232: Lyn and her friends made a pile of 31 snowballs this morning. Then the sun came out. It melted 1 snowball in the first hour, 2 snowballs in the second hour; and 4 snowballs in the third hour. Each hour the sun is melting twice as many snowballs as it did the hour before. If the sun keeps melting snowballs in this way, how many hours in all will it take the sun to melt the whole pile of snowballs?
Click here to see answer by stanbon(57967) |
Question 59231: A crew of spiders moved into the scary old house and started working at once. They spun 2 webs on the first night, and 7 webs on the second night. On the third night they wove 12 webs. Every night they made 5 more webs than they had made the night before. If the spiders kept spinning in this way, on what night did they spin their 60th web?
Click here to see answer by stanbon(57967) |
Question 59470: I tried this, but my answer turned out being too high. Here's the problem.
The first angle of a triangle measures 5 degrees more than the second. The measure of the third angle is half of the measure of the second. Find the measures of the angles of the triangle.
What I'm pretty sure is right:
y+5= 1st angle
y= 2nd angle
y/2= 3rd angle
Click here to see answer by checkley71(8403) |
Question 59485:
Three hours after a car leaves Atlanta traveling at an average velocity of 70mph, a highway patrolman leaves from the same starting point to overtake the car. If the average velocity of the patrolman is 100mph, how far from Atlanta will the patrolman travel before he overtakes the car?
Click here to see answer by checkley71(8403) |
Question 59484: A man has a savings account that pays 1% annual interest and a mutual fund account that pays 11% annually. His total interest from the two accounts is $1540, and the total amount of money in the two accounts is $20,000. How much money does he have in the savings account?
Click here to see answer by tutorcecilia(2152)  |
Question 59484: A man has a savings account that pays 1% annual interest and a mutual fund account that pays 11% annually. His total interest from the two accounts is $1540, and the total amount of money in the two accounts is $20,000. How much money does he have in the savings account?
Click here to see answer by josmiceli(9817)  |
Question 60414: I'm trying to help my son with his homework, but I'm not sure how to set up the following problem into an algebraic model. I looked at some of the examples in the book, but they just confuse me. I hope you can help us.
The problem is: Suppose you light one candle that is 12 centimeters tall and burns at a rate of 3 centimeters per hour. At the same time, a friend lights a candle that is 10 centimeters tall and burns at a rate of 2 centimeters per hour.
Write and solve an algebraic model to find when the heights of the candles will be the same.
Click here to see answer by funmath(2925) |
Question 60414: I'm trying to help my son with his homework, but I'm not sure how to set up the following problem into an algebraic model. I looked at some of the examples in the book, but they just confuse me. I hope you can help us.
The problem is: Suppose you light one candle that is 12 centimeters tall and burns at a rate of 3 centimeters per hour. At the same time, a friend lights a candle that is 10 centimeters tall and burns at a rate of 2 centimeters per hour.
Write and solve an algebraic model to find when the heights of the candles will be the same.
Click here to see answer by ptaylor(2052)  |
Question 60684: Consider triangle ABC. It is given that AB = AC, AB = 4x + 2y, BC = 5x, and AC= 10y. is the triangle equilateral? Justify answer
What is the smallest number that the sum of the two largest angles in a scalene triangle can be if all the angle measures are whole numbers?
Click here to see answer by ankor@dixie-net.com(15746) |
Question 60956: A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard.
Click here to see answer by ankor@dixie-net.com(15746) |
Question 61430: joseph and caleb drove together for seven hours. So far, they have driven three hundred twenty- five miles. Joseph drove the first three hours. Caleb drove the rest of the way at a speed twenty- six less than two times Joseph's speed (in miles per hour). What was Caleb's average driving speed?
Click here to see answer by Paul(988) |
Question 62665: In the Jetfighter IV Fortress America computer game, it takes an average of eight (8) landing attempts to make a successful carrier landing after a mission. On the other hand, a landing at a field runway is successful 80 per cent of the time after a mission, but the chances of being downed by an enemy SAM (surface-to-air missle) site trying to get to the field runway is five out of ten. You are the leader of a flight of four aircraft and each aircraft only has enough fuel remaining to either attempt 8 carrier landings or fly all the way to the field for one landing attempt. What are the best chances that the most pilots in your flight will make a successful landing.
Click here to see answer by stanbon(57967) |
Question 61333: Hi there, I am hoping you can help me help my daughter. She has a multiple step word problem that goes like this: What will be the total number of rats from January 1 to January 1 the next year? The following assumtions are to be made for solving this problem. 1. Original pair of rats are one female and one male. 2. The number of young produced in every litter is six, and three of those six are females. 3. The original female gives birth to six young on Jan. 1 and produces another litter of six 40 days later and every 40 days thereafter as long as she lives. 4. Each female born will produce her first litter 120 days after her birth, and then produce a new ltter every 40 days therafter. 5. The rats are on an island with no natural enemies and plenty of food. Therefore, in this first year, there are only births, and no rats die.
This assignment was adapted from Mathematics Insight and Meaning, Jan de Lange, The Netherlands, 1987. Thank you in advance for you help. Lisa
Click here to see answer by 303795(595) |
Question 62845: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenths place
Click here to see answer by checkley71(8403) |
Question 15558: HELP!!!
Questions: You have invested $5,000,000.00 to add new rides to an amusement park. How many park visitors would have to come on a daily basis for 1 season (1 season =6 months) to recoup the $5,000,000 over 20 years? The average per person ticket cost is $35.00 per day.
Can you help me translate this into an algebraic equation????
I don't know where to begin...
I would appreciate any help!
Ashley
Click here to see answer by stanbon(57967) |
Question 63367: There are three consectutive integers such that 8 more than twice the 2nd integer is three times the sum of the 1st and 3rd integer. Find the three integers.
Whomever this may concern, I needed to know if my calculations were correct?
x
x + 2
x + 3
8 + 2 (x+2) = 3 (x+x+3)
8x + 2x + 4 = 6x + 9
2x + 12 = 6x + 9
I then subtract 9 from both sides
2x + 3 = 6x
I then subtract 2x from both sides
+ 3 = 4x
Our teacher provides an answer sheet with our review worksheet. Her answers were 1, 2, and 3.
This is where I am lost; I get 0.75 when I divide 3/4
Thanks for your time.
Click here to see answer by 303795(595) |
Question 63420: A survey of 50 students found that 30 fad cats, 25 had dogs, 5 had white mice, 16 had both dogs and cats, 4 had both dogs and mice, 2 had both cats and mice, and only 1 had all three kinds of pets. How many students had no pets of these types?
can u please tell me how you found this answer
Click here to see answer by Edwin McCravy(8999)  |
Question 63915: A toy rocket is fired from a building. Its height at time t is given by the equation: h = -16t^2 + 396t + 100. When will it land on the ground below the bulding and what is its height after 10 seconds ?
Click here to see answer by stanbon(57967) |
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