Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 400646: A certain .22 caliber gun fires a bullet at a speed of 1192 feet per second. If the .22 caliber gun is fired straight upward into the sky, the height of the bullet in feet is given by the equation , h=-16t^2 +1192t where t is the time in seconds with t=0 corresponding to the instant the gun is fired. How long is the bullet in the air?

Click here to see answer by ankor@dixie-net.com(22740)

Question 401138: 1(a): If k=(x-1)�/x�+4,where k is a real number, show clearly that (k-1)x�+2x+(4k-1)=0
1(b): Hence find the value of k given that the equation (k-1)x�+2x+(4k-1)=0
has equal roots and k>0
Click here to see answer by solver91311(24713)

Question 401204: We have 10 people in our group and we would like to set up a system where everyone can talk to everyone else individually for 10 minutes, how can we do this and how long would it take?
Click here to see answer by sofiyac(983)

Question 401106: The triangular numbers are the whole numbers that are represented by certain triangular arrays of dots.

There is a triangular number that has 66 dots in its shape. Which one is it? Write your answer as a number.

Click here to see answer by richard1234(7193)

Question 401322: The radiator in a car is filled with a solution of 65 percent antifreeze and 35 percent water. The manufacturer of the antifreeze suggests that for summer driving, optimal cooling of the engine is obtained with only 50 per cent antifreeze. If the capacity of the radiator is 3.2 liters, how much coolant (in liters) must be drained and replaced with pure water to reduce the antifreeze concentration to 50 per cent?
Click here to see answer by ptaylor(2198)

Question 401456: A rope braiding machine can make 10/13 of a foot of rope per second. How many seconds will it take to make 20 feet of rope?

10/13f=20 10/13 divided by 10/13 = f =20 divided by 10/13
20/1 * 13/10 the 20 and 10 can be canceled out so that you have 2/1*13/1 =26
f=26
I am not sure that I worked this out the right way and not sure about my answer. Please let me know if I got it right and worked it out right! Thank you!
Click here to see answer by rfer(16322)

Question 401448: Okay THe question is there is a 50 foot flag pole that has snapped and fallen down and the tip lays 40 feet from the base, how much of the pole is left standing * the pictures shows a right triangle,, i have no clue how to solve this problem..
Click here to see answer by ankor@dixie-net.com(22740)

Question 401449: If each child eats 1/4 of a bag of peanuts and 2 1/2 bags are eaten, how many children are there?
1/4a=2 1/2 1/4divided by 1/4=a 2 1/2 5/2 divided by 1/4
5/2 * 4/1= a=10
I am not sure that I worked this out the right way and not sure that I got the right answer? Please help, Thank you!
Click here to see answer by ankor@dixie-net.com(22740)

Question 402173: How many cubes are in the 100th collection in this sequence?
the first is just a single cube in the sequence
the second is 8 cubes total. 2*2*2
the third is 27 cubes total. 3*3*3
I can't figure out the pattern or equation i can use to find the 100th collection in the sequence
Click here to see answer by MathLover1(20849)

Question 402399: The cost (in thousands of dollars) for making x snow blowers is given by the function: C(x)= 200 + 60x
The revenue (in thousands of dollars) is given by the function:
R(x)= 90x-x^2
a) write and simplify a function P that represents the profit (in thousands of dollars) in terms of x.
b) Find the number of snow blowers that would produce a zero profit.
c) What is the profit for selling 18 snow blowers?
Click here to see answer by josmiceli(19441)

Question 402389: A rock is thrown upward from ground level. Its distance in feet from the ground after t seconds is given by: h(t)= -16t^2+128t
a) find the t-intercept of the function.
b) what do the t-intercept mean in the context of this problem?
c) when will the rock be at a height of 240 feet.

Click here to see answer by solver91311(24713)

Question 402384: The foot of an extension ladder is 10 feet away from the base of a wall. The ladder is 2 feet longer than the distance that it reaches up the wall. How far up the wall will the ladder reach?
Click here to see answer by checkley79(3341)

Question 402382: Three consecutive even integers are such that the square of the first integer plus the square of the third integer is 136. Find the three integers.
Click here to see answer by checkley79(3341)

Question 402381: A rectangular parking lot has an area of 2400ft^2. If the width is 20 feet less than the length, what are the dimensions of the parking lot?
Click here to see answer by checkley79(3341)

Question 401942: Find the circumference of a circle with radius 34 inches. Use pie = 3.14 as an approximation.
Hello, I would appreciate any help i can get.
Thaning you sooooo much in advance
Dae
Click here to see answer by sofiyac(983)

Question 402713: a quadrilateral has angles 70degres , 90degres , 2x and 3x ,what is the value of x?and show me the formula.
Click here to see answer by richard1234(7193)

Question 403131: what do you use as reasons to support the steps of a geometric proof?
Click here to see answer by richard1234(7193)

Question 403159: equation using substitution method
y=2/3x-1
2x+3y=21
Click here to see answer by algebrahouse.com(1659)

Question 403159: equation using substitution method
y=2/3x-1
2x+3y=21
Click here to see answer by mananth(16946)

Question 403203: Can you help me please with this question?
A local feed store sells a 100-lb bag of feed for $10.90. If a customer buys more than one bag, each additional bag costs $10.50. A customer bought $84.40 worth of feed. How many 100 lb bags did this customer purchase?

Click here to see answer by josmiceli(19441)

Question 403325: There are 24 questions on a test. Each question is worth either 4 or 5 points. The total is 100 points. Write a system of equations and find the number of each type of question on the test.
Click here to see answer by solver91311(24713)

Question 403529: The length of a rectangle is 1 inch more than four times its width. The perimeter is 52 inches. Find the length and width of the rectangle.
Click here to see answer by Nada(11)

Question 403635: A gardener wants to create a rectangular garden with length of 3x - 3y ft. and width of x - 5y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include units.
Click here to see answer by ankor@dixie-net.com(22740)

Question 403769: Evaluate 2r/s for r=15 and 5=3, simplify your answer 2r/s
Can someone please help me solve this math problem, I would greatly appreciate it.
Thank you,
Sincerely
Sharon

Click here to see answer by stanbon(75887)

Question 403880: a=27 b=? c=53
Click here to see answer by Alan3354(69443)

Question 404555: Dave and Jane Wells have a new rectangle driveway. The perimeter of the driveway is 168 feet. The length is 12 feet longer then three times the width. What are the dimensions of the driveway?
Click here to see answer by nerdybill(7384)

Question 404544: the equation is written to the base 3n-1 instead of base 10 (a,b,c) range from 0 to 3n-2
i have solved it up to the point but can't find a method to find a,b,c
2[a(3n-1)^2 + b(3n-1) + c)] = c(3n-1)^2 + b(3n-1) + a
a(18n^2 - 12n + 1) + b(3n-1) = c(9n^2 -6n -1)
(18a-9c)^2 + (-12a+3b+6c)n + (a+b+c) = 0
this is the bit where am stuck how to obtain a,b and c
the answers should be a=n-1 b=3n-2 c=2n-1
thanks
Click here to see answer by richard1234(7193)

Question 404734: In square ABCD, diagonal AC has a slope of -2/5. what is the slope of diagonal BD?
Click here to see answer by MathLover1(20849)

Question 404733: In the diagram of isosceles trapezoid ABCD, AB = CD. The measure of angle B is 40 degrees more than the measure of angle A. Find m angle A and m angle B.
m angle A=
and m angle B =
Click here to see answer by MathLover1(20849)

Question 404769: The length of the first side of a triangle is twice the length of the second side, and the length of the third side is 5 more than the length of the second side. Express the perimeter of the triangle in terms of the length of its second side, and use this model to estimate the lengths of the three sides if the perimeter is to be 100 in.
Click here to see answer by mananth(16946)

Question 404921: Find the length of the sides of this triangle. Two sides are equal in length and the third side is 3 centimeters shorter than one and one-half times the length of the equal sides. The perimeter is 28.5 centimeters.
Click here to see answer by Earlsdon(6294)

Question 405924: Mia has twice as many quarters as she has dimes. If she has $3.60 total, how many of each type of coin does she have?
Click here to see answer by algebrahouse.com(1659)

Question 406548: Suppose h(x)=x^2+12x+5, with the domain of h being the set of positive numbers. Evaluate h^-1(10).
Click here to see answer by robertb(5830)

Question 406683: SOLVE THE FOLLOWING PROBLEM. INCLUDE YOUR WORK BY SHOWING THE STEPS YOU TOOK TO SOLVE IT OR EXPLAIN IT IN WORDS WHAT YOU DID.
I did the problem. & im in cyberschool, so she gave me a 20% and commented back saying: " Youve missed applying the one rule that is different for solving inequalities from solving equation.
Here's the problem.
Solve the following inequality:
2 < -8s

Click here to see answer by nerdybill(7384)

Question 407031: please help me to factor x to the third power+3x to the second power-4x-12
Click here to see answer by stanbon(75887)

Question 406843: The average nightly attendance at a certain movie theater is 100 when the ticket price is $4.00. The manager estimates that for each 10 cents reduction in price, the average attendance will increase by 10. Find the revenue function R(x), where the number of 10 cents reductions in price. What ticket price yields the maximum revenue, and what is the maximum revenue?
My teacher said it's $2.50 and $625 in revenue, but I have no idea how he got that.
Thanks
Click here to see answer by ewatrrr(24785)

Question 407767: Evaluate the integral using integration by parts with explanations.
ln (2x+1) dx
Click here to see answer by Tatiana_Stebko(1539)

Question 407767: Evaluate the integral using integration by parts with explanations.
ln (2x+1) dx
Click here to see answer by richard1234(7193)

Question 407758: I am having to write an algebraic equation for each problem and solve it. I am not sure how to do percentages. Could you please help me to better understand what I am doing.
1.)In 2006, the number of Americans who wee members of a health club was 42.7 million. This was an increase of 106% from the number of health club members in 1990. How many Americans were health club members in 1990.
2.) Juanita and Carlos borrowed $4800 at a simple interest rate of 11% for a period of 2 years. What was the interest?
3.) David had $4000 invested for one-fourth of a year at a simple interest rate of 6.1%. How much interest did he earn.
4.) Tori invested $8000 in money market funds. Part was invested at 5% simple interest and the rest was invested at 7% simple interest. At the end of 1 year. Tori had earned $496 in interest. How much did she invest in each fund?
5.) The Clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. Their boat averaged 14 kilometers per hour. The Rourke family traveled 20 kilometers farther than the Clarke family. How many hours did each family spend on their boat trip.
Click here to see answer by mananth(16946)

Question 408079: I have two questions to ask here, the first is:
1) Pip can run four times as fast as she walks. One day she walked for 3 hours and ran for 2 hours. If she covered 55km altogether. How fast did she walk?
The second one is:
2) How many litres of 15% sugar solution must be added to 5 lires of 10$ sugar solution to make a 12% sugar solution?
Please Help!
Click here to see answer by solver91311(24713)

Question 408794: a store sells regular coffee for $4 a pound
and a gourmet coffee for $7 a pound
to get rid of 40 pounds
of the gourmet coffee,the shopkeeper plans to make
a gourmet blend to sell
for $5 a pound.
how many pounds of regular coffee should be used?

thanks for your help!
Click here to see answer by lwsshak3(11628)

Question 408878: A circular mirror is surrounded by a square metal frame. The radius of the circular mirror is 3x. The side length of the metal frame is 15x. What is the area of the metal frame?
Click here to see answer by ankor@dixie-net.com(22740)

Question 409093: It is almost 900 miles from baltimore to orlando, fl. if wetravel at an average rate of 65 mph, about how much driving time will it take to get to orlando (excluding stops and breaks)? remember: d=rt.
Click here to see answer by rfer(16322)

Question 409244: A family has two cars. During one particular week, the first car consumed gallons of gas and the second consumed gallons of gas. The two cars drove a combined total of miles, and the sum of their fuel efficiencies was miles per gallon. What were the fuel efficiencies of each of the cars that week?
Click here to see answer by stanbon(75887)

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