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

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Question 211526: from the center of the 20yd (60ft) line, a football player attempts to make a field goal by kicking the ball directly toward the goal posts, which are 90ft away. The goal-post crossbar is 10 ft above the ground. The ball reaches its highest altitude of 32 ft at a point 48 ft from where it was kicked.
a. make a sketch showing the path of the football. if the point from which the ball is kicked is the origin of a coordinate plane, find the equation of the parabolic path of the football.
b. will the kicker make the field goal?

Click here to see answer by ankor@dixie-net.com(6691)

Question 211728: A rectangular field is 6 meters longer than it is wide. It took 132 meters of fencing to enclose the field and divide it into two parts with a fence parallel to the shorter sides. Find the dimensions of the field.
Click here to see answer by rfer(2688)

Question 211727: A triangle has sides with lengths in centimeters that are consecutive even integers. Find the lengths if the perimeter is 186 cm.
Click here to see answer by Theo(671)

Question 211729: Each side of an equilateral triangle is 4 cm longer than the side of a square. The sum of the perimeters of the two figures is 96 cm. How long is each side of the triangle?
Click here to see answer by checkley77(7035)

Question 211881: If 3 is added to a number and the sum is tripled, the result is 27 more than the number.
The number is ?
Click here to see answer by marcsam823(38)

Question 211881: If 3 is added to a number and the sum is tripled, the result is 27 more than the number.
The number is ?
Click here to see answer by gypsy1274(9)

Question 211881: If 3 is added to a number and the sum is tripled, the result is 27 more than the number.
The number is ?
Click here to see answer by ankor@dixie-net.com(6691)

Question 211973: Mike bought some kilograms of apples and some kilograms of oranges and spent
$27.25. The apples cost $3.10 per kilogram and oranges cost $4.95 per kilogram.
If apples become $1.55 more expensive and oranges become $1.15 chaper he will
spend $30. How many ograms of apples and oranges did Mike buy?
Click here to see answer by drj(1380)

Question 212083: aglue company needs to make some glue worth $120. it wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel, and some glue worth $190 per barrel. it must use the same number of barrels worth $150 per barrel and $190 per barrel. how much of the $150 and $190 glue will be needed? how many barrels of $120 glue will be producded?
so fr i have:
x=# of barrels of $100 glue
y=# of barrels of $150 glue
z=# of barrels of $190 glue
x=150
y=z
Click here to see answer by stanbon(26259)

Question 212084: Tanner has $4.35 in nickels and quarters. If he has 15 more nickels than quarters how many of each coin does he have?
Would it be 2x + 15= 4.35? Is that how I write the equation? Then how do I find both the amount of nickels and quarters?
Click here to see answer by Fombitz(2113)

Question 212164: Sandy is 11 kilometers away from Gary. Both begin to walk toward each other at the same time. sandy walks at 4 kilometers per hour. They will meet in 2 hours. How fast is Gary walking?
I know this is a linear equation. I am just not sure how to put it together.
Click here to see answer by Fombitz(2113)

Question 212323: This is my problem.
It takes two oil pipelines 30 minutes to fill a tank. One pipeline fills the tank in 45 minutes. How long will it take to fill the tank with the other pipeline alone?
I tried this:
x+y=30
y=1.5(x+y)
I got y=-3 and x=33 but it doesn't make since that y=-3. Can you help?
Click here to see answer by checkley77(7035)

Question 212563: Peter sold pumpkins from his farm. He sold jumbo pumpkins for $9.00 each, and he sold regular pumpkins for $4.00 each. peter sold 80 pumpkins and collected $395.00.
How many jumbo pumpkins and regular pumpkins did he sell?
Please tell me what the word "each" stands for in word problems.
Click here to see answer by rapaljer(3620)

Question 212986: " The larger of two numbers is 20 more than the smaller. Four times the larger is 70 more than 5 times the smaller. Find the numbers."
Click here to see answer by rapaljer(3620)

Question 212738: An arrow is shot up with a velocity of 50m/s and the height in meters after t seconds is h=50t-0.36t^2. Find the average velocity over interval [1,1.03]. correct to sour decimal places.
Click here to see answer by Alan3354(6059)

Question 213134: riza was 25 when her first son was born. Today the sum of their ages is 105. How old is riza and her son now??
Click here to see answer by rapaljer(3620)

Question 213138: The wizard has been imprisoned by a powerfull spell.To escape he must find the quickest way to move the tower of ten disks from one post to another such that the disks have the same arrangement as on the original post. he must MOVE ONLY ONE DISK AT A TIME, and he may NEVER PLACE A LARGER DISK ON TOP OF A SMALLER ONE.What is the minimum number of moves he must make in order to move the ten-disk tower?
Hint:use 3 posts
Click here to see answer by Earlsdon(4898)

Question 213169This question is from textbook Prentice Hall Algebra I Louisiana
: A moving van leaves a house traveling at an average rate of 35mph. The family leaves the house in a car 3/4 hour later traveling the same route at an average rate of 50mph. How long will it take the family to catch up with the van?This question is from textbook Prentice Hall Algebra I Louisiana

Click here to see answer by ankor@dixie-net.com(6691)

Question 213416: Three salesman went to 400 households to sell a certain brand of rice cookers costing $60 each.15% of the households bought a rice cooker each from them.if the three salesman sold ricecooker in the ratio 3:4:5, find the commission each salesman recieved if the commission is 4% of the total sales
Click here to see answer by josmiceli(3003)

Question 213482: Which is a solution of -8x + 5 > 11?
PLEASE HELP ME WITH MY 2 QUESTIONS :) THANK YOU
Click here to see answer by stanbon(26259)

Question 213482: Which is a solution of -8x + 5 > 11?
PLEASE HELP ME WITH MY 2 QUESTIONS :) THANK YOU
Click here to see answer by drj(1380)

Question 213479: Suppose your office gives you $200 to buy computer disks.The 550-MB
disks cost $7 each.The 650-MB disks cost $8 each. Write the inequality
that describes how many of each kind of disk you can buy.
Click here to see answer by stanbon(26259)

Question 213831: Hey,
I need you to solve a problem for me, I really don't understand it.
The question is: If Sally can paint a house in 4 hours and John in 6 hours, how long will it take for both of them to paint the house together?
Thanks
Sumaya.
Click here to see answer by checkley77(7035)

Question 214146: Penelope has several coins, all nickels and quarters, in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many quarters does she have?
Click here to see answer by checkley77(7035)

Question 214308: how can I solve this linear equation word problem:
Max bought 16 lbs of nuts at a party. max brought some peanuts and some alomonds. the total cost was $60. the Peanit cost 3 pr lbs and the Al $ 5 per lbs.
using elimination solve the system of equations to find how many pounds of each type of nuts Max brought.
Click here to see answer by stanbon(26259)

Question 214412This question is from textbook Fourth Edidion - Beginning and Intermediate College algebra
: In a random sample of 100 Americans of voting age, 10 more Americans identify themselves as Independents than Republicans. Six fewer Americans identify themselves as Republicans than Democrats. Assuming that all of those sampled are Republican, Democrat, or Independent, how many of those sampled identify themselves with each political affiliation?This question is from textbook Fourth Edidion - Beginning and Intermediate College algebra

Click here to see answer by rfer(2688)

Question 214413: 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 ankor@dixie-net.com(6691)

Question 214438: Karla has $4.60 in nickles and quarters, she has a total of 36 coins. How many nickles and how many quarters does she have?
Click here to see answer by Earlsdon(4898)

Question 214725This question is from textbook Practicing to Take the GRE General Test
: I am having problems with this word problem:
A group can charter a particular aircraft at a total fixed cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. What is the cost per person if 40 people charter the aircraft?
I have defined the cost if 40 people charter as x and the cost if 36 people charter as y.
The only equation I can come up with so far is 36y=40(x+12), but I know I need some other equation if I want to solve for either variable.
The back of the book states the answer as 108, but I cannot figure out how to get there.
Thanks in advance for your help!This question is from textbook Practicing to Take the GRE General Test

Click here to see answer by jim_thompson5910(13787)

Question 214747: Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
Click here to see answer by drj(1380)

Question 214748: Ilida went to Minewaska Sate Park one day this summer. All of the people at the park were either hiking or bike riding. There were 178 more hikers than bike riders. If there were a total of 676 people at the park, how many were hiking and how many were riding their bikes?
Click here to see answer by rfer(2688)

Question 214745: Eldora and Finn went to an office supply store together. Eldora bought 15 boxes of paper clips and 7 packages of index cards for a total cost of $55.40. Finn bought 12 boxes of paper clips and 10 packages of index cards for a total cost of $61.70. Find the cost of one box of paper clips and the cost of one package of index cards.
Click here to see answer by checkley77(7035)

Question 214763: I need help with factoring out this equation:
Click here to see answer by stanbon(26259)

Question 214763: I need help with factoring out this equation:
Click here to see answer by rfer(2688)

Question 214818: The owner of the Most Amazing Circus was counting the money from one day’s ticket sales. He knew that a total of 522 tickets were sold. Adult tickets cost $15 each and children’s tickets cost $8 each. If the total receipts for the day were $5086.00, how many of each kind of ticket were sold?

Click here to see answer by drj(1380)

Question 214817: For the Mr. Arlington contest, there were 206 more tickets sold at the door than were sold in advance. The tickets sold at the door cost $10 and the tickets sold in advance cost $6. The total amount of sales for both types of tickets was $6828. How many of each type of ticket was sold?

Click here to see answer by drj(1380)

Question 214815: The Freshman class is organizing a picnic and ordered a total of 1300 hot dogs and hamburgers for the event. The hot dogs cost $0.59 each and the hamburgers cost $0.98 each before tax. The total bill came to $1041.37, which included $79.37 in tax. How many hot dogs and how many hamburgers were ordered?

Click here to see answer by drj(1380)

Question 214885: I need help factoring out this equation:
Click here to see answer by drj(1380)

Question 214893: I need help solving the quadratic function,For Each Funtion:(a) determine whether the graph opens down or up, (b) find the axis of symmetry, (c)find the vertex, (d)find the y-intercept,(e) find the zeros, and (f) graph the function
the equation is: -(x+4)(x-2)
Click here to see answer by josmiceli(3003)

Question 214894: I need help solving the quadratic function,For Each Funtion:(a) determine whether the graph opens down or up, (b) find the axis of symmetry, (c)find the vertex, (d)find the y-intercept,(e) find the zeros, and (f) graph the function
the equation is: -x(x-3)
Click here to see answer by Earlsdon(4898)

Question 214914: I need help solving the quadratic function,For Each Funtion:(a) determine whether the graph opens down or up, (b) find the axis of symmetry, (c)find the vertex, (d)find the y-intercept,(e) find the zeros, and (f) graph the function
the equation is: -x(x-3)

Click here to see answer by stanbon(26259)

Question 214913This question is from textbook
: The greater of two numbers is 10 less than 3 times the smaller. If the greater is increased by twice the smaller, the result is 8 less than 3 times the greater, What are the two numbers?This question is from textbook

Click here to see answer by stanbon(26259)

Question 214937: A cashier has a total of 126 bills, made up of fives and tens. The total value of the money is $840. How many of each kind of bill does he have?
Click here to see answer by drj(1380)

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