Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

Question 305257: A bus leaves Johnstown at noon heading for Djibouti, 350 miles away. A bus leaves Djibouti at the same time, heading to Johnstown at 35 m.p.h. If the two buses meet at 7 PM, what is the rate of the first bus?
Click here to see answer by josmiceli(9678)

Question 305253: Teresa has $3.60 in quarters & nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickles is equal to what number?
Click here to see answer by josmiceli(9678)

Question 305313: I hope this was the appropriate topic...goes to show how lost I am!! Here is the problem: "An athlete whose even is the shot put releases the shot with the same initial velocity, but at different angles. When the shot is released at an angle of 35 degrees, its path can be modeled by the function f(x)= -0.01x^2+0.7x+6.1 in which x is the shot's horizontal distance, in feet, and f(x) is its height, in feet. Use the function to determine the shot's maximum distance. Use a calculator and round to the nearest tenth of a foot."
I have attempted to work this problem numerous times and I keep coming up with 18.35. The answer in the back of my textbook says 77.8 feet, and I would like to know where I am going wrong. Rather than to waste your time with my attempts to work it out I will just see the correct way and hope I can decipher my mistake on my own. Thank you for your help! Amber
Click here to see answer by stanbon(57347)

Question 305326: the sum of two numbers is 36. the first number is three more than twice the second number. find the larger number
Click here to see answer by mananth(12270)

Question 305442: Pa got in his '29 Ford and started driving west from Jackson at a constant speed of 30 miles per hour. An hour later Ma got in her '31 Buick and started driving west from Jackson at a constant speed. After driving 4 hours Ma had passed Pa and was 10 miles ahead of him. How fast was Ma driving?
Click here to see answer by Fombitz(13828)

Question 306338: I need to find the exact area of a triangle with a base of meters and a height of meters
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Question 306338: I need to find the exact area of a triangle with a base of meters and a height of meters
Click here to see answer by solver91311(16885)

Question 306368: the dress store is having a sale where all merchandise is 1/4 off. a women buys $42 of merchandise at the sale price what would she had paid at the regular price?
Click here to see answer by josmiceli(9678)

Question 306829: cOMPARE A YEARLY PASS WITH A DAILY PASS AT A HEALTH CLUB, ZOO, MUSEUM, OR THEME PARK TO DETERMINE which is most advatageous based upon the number of yearly visits?
Click here to see answer by Fombitz(13828)

Question 306814: ONE CAN JUICE DRINK IS 30% ORANGE JUICE, ANOTHER IS 10% ORANGE JUICE
Click here to see answer by Fombitz(13828)

Question 306867: If 6 is added to a number and then subtracted from the same number,the product of the sum and the difference is 189. what is the number?
Click here to see answer by texttutoring(324)

Question 306986: The height h (in feet) of a kangaroo's jump can be modeled by h=-16t^2+18t where t is the time (in seconds) since the kangaroo jumped off of the ground. Find the zeros.

Click here to see answer by nerdybill(6958)

Question 307109: A woman buys a dress for $48 and it was 1/4 off, what was the original price.
Click here to see answer by rfer(12660)

Question 307109: A woman buys a dress for $48 and it was 1/4 off, what was the original price.
Click here to see answer by richwmiller(9135)

Question 307555: I am having a difficult time translating a word problem into an equation. The question is...
Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 10 degrees.
I have tried
(x-180)-3(x-90)=10
and
3(x-90)-(x-180)=10
I know that the answer is 50 because it is in the back of the book. Neither one of my equations worked out to be 50, so I know that I must be reading the word problem wrong. I can't figure this out, please help!!!
Click here to see answer by rapaljer(4667)

Question 307543: Trains A and B are travelling in the same direction on parallel tracks. Train A is travelling at 80 miles per hour and Train B is travelling at 96 miles per hour. Train A passes a station at 12:15 a.m. If Train B passes that same station at 12:30 a.m., at what time will Train B catch up to Train A?
Click here to see answer by checkley77(12569)

Question 307726: Julie has been offered a job for $400 per week. She has a second job offered for $175perweek plus 15%of her sales. How much would she have to sell to make the same amount at the first job offer.
I know the answer. I need an equation that would demonstrate how you arrived at the answer. I am trying to help a grandchild.
Click here to see answer by rfer(12660)

Question 308005: How do I solve for y = x + 3 to calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph?
Click here to see answer by rfer(12660)

Question 308024: Using the Intermediate Algebra Sixth Edition, and never having had an algebra class all through my high school days. I am stumped upon this word problem. Any help would be greatly appreciated. Thanks
Some doctors use the formula ND=1.08t to relate the variables N ( the number of patient appointments the doctor schedules in one day), D ( the duration of each patient appointment), and T ( the total number of minutes the doctor can use to see patients in one day)
A) Solve the formula for N
B) Use this result to find the number of patient appointments N a doctor should make if she has 6 hours available for patients and each appointment is 15 minutes long. (round to nearest whole number)

Click here to see answer by scott8148(6628)

Question 308212: the width of a rectangular window is two feet more than its height. if the area is 35 sq. ft, what's the height?
a. 9ft
b. 7 ft
c.5ft
d. 3 ft
Click here to see answer by edjones(7569)

Question 308333: A college student invested part of a $25,000 inheritance at 7% interest and the rest at 6%. If his annual interest is $1,671 how much did he invest at 6%? If I told you the answer is $8,000, in your own words, using complete sentences, explain how you would solve the problem.
Click here to see answer by ichudov(499)

Question 308672: A square plywood platform has a perimeter which is 9 times the length of a side, decreased by 15. Find the length of a side. Use the formula P = 4s.

Click here to see answer by CharlesG2(828)

Question 308839: Complete the following pattern: 2, 3, 4.5, 6.75, _____, _____:
Click here to see answer by ichudov(499)

Question 308900: THe sum of 12 divided by a numuber and 7 is 10
how to write this 12/x +7 =10
Click here to see answer by unlockmath(1599)

Question 309075: Mark and Nancy are making punch for a party and are using two types of juice: pineapple and papaya. The total number of quarts must be more than 9 but less than 15. They should use at least 4 quarts of each type. We want to find out how many quarts of each juice they should buy.
First graph the system below and describe the shape of the solution area.
x+y>9
x+y<15
x>4
y>4
Then list 3 ordered pair solutions for the system of equations which represent this problem.

Then pick one of those ordered pair solutions for this problem and tell what each number represents.
Click here to see answer by Fombitz(13828)

Question 309157: the sum of two real numbers is nine. their difference is one. what are the numbers?
Click here to see answer by JBarnum(2044)

Question 309328: write the negation of the statement
All horses have manes
Click here to see answer by Fombitz(13828)

Question 309597: The problem is as follows:
" The sum of two integers is ten. Three times the larger integer is three less than eight times the smaller integer. Find the integers. "
I need to know how to write and solve an equation for this word problem.
Thank you.
Click here to see answer by Earlsdon(6287)

Question 309831:
A college student invested part of a $25,000 inheritance at 7% interest and the rest at 6%. If his annual interest is $1,671 how much did he invest at 6%? If I told you the answer is $8,000, in your own words, using complete sentences, explain how you would solve the problem.

Click here to see answer by checkley77(12569)

Question 309799: The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Using an equation for the line whose graph depicts this data, predict the total sales after 40 months.
Click here to see answer by checkley77(12569)

Question 310061: Acompany manufactures an alarm clock. Three weeks ago the company had 250 on hand. Two weeks from now it will have 500. Assume the company will contribute to make the clocks at the time rate.
Linear equation, I think:
x=-250x+500
WHAT IS THE LINEAR EQUATION???
Click here to see answer by Alan3354(30993)

Question 310171: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. What is the number?
Click here to see answer by JBarnum(2044)

Question 310439: If a saleman is paid a fixed weekly salary of $400 plus a commission of 8% of his total sales revenue, how can it be written in a linear function expressing the saleman's weekly income as a function of the amount of sales revenue at what rate does the saleman's income change with respect to the sale revenue?
Click here to see answer by rfer(12660)

Question 310466: 1)Ivana invested her savings of $4800. SHe invested part in a mutual fund, which paid her 9% interest per year, and the rest went into a GIC, which paid her 10% per year. After one year, the interest she earned from the mutual fund was $43 less than the interest she earned from the GIC. How much did Hailey invest into each?
Click here to see answer by mananth(12270)

Question 310667: In a triangle,the sum of the interior angles is 180degrees. If angle A is three times as large as angle B,and angles B and C sum to 90 degree.What is the measure of each angle?
Click here to see answer by loni1234(7)

Question 310666: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.
In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?
Click here to see answer by ankor@dixie-net.com(15652)

Question 310781: From a point on a river, two boats are driven in opposite directions, one at 10 mph and the other at 8 mph. At how many hours will they be 54 miles apart?

Click here to see answer by checkley77(12569)

Question 310975: Freeport McMoRan projects that in 2011 the world's grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of the world's grain demand. What will the world's grain demand be in 2011?
Click here to see answer by josmiceli(9678)

Question 310977: Fahrenheut temperature. Water boils at 212 degree F. Find the Fahrenheit temperature of hot tap water at 70 degree Celsius by solving the equation.
70=5/9 (F-32)
Click here to see answer by nerdybill(6958)

Question 311000: Use a calculator to approximate the square roots. Round to three decimal places.
-567788.
Click here to see answer by Fombitz(13828)

Question 311003: Use a calculator to approximate the square roots. Round to three decimal places 567788. I got an answer of 753.517 please correct me if I am wrong.
Click here to see answer by Fombitz(13828)

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