Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Word Problems: Numbers, consecutive odd/even, digits

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Question 175811: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the numbers.
Click here to see answer by jojo14344(1483)

Question 175845: A tennis club offers two payments:
Option 1: $42.00 monthly fee plus $5/hour for court rental.
Option 2: No monthly fee but $8.50/hour for court rental.
Let x=hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost,C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many hours would you have to rent the court so the monthly cost of option 1 is less than option 2? Set up an inequality using information in part A.
Click here to see answer by Mathtut(3670)

Question 175859This question is from textbook fundamentals of contemporary financial management
: I need to understand this problem. I can not seem to isolate the "i" which is interest. I have worked and re-worked to no avail. The formula I used for solving this problem is DCL= 3.0= Sales - Variable Cost/EBIT-1
Where Sales = 10,000,000
Variable Cost = 5,000,000
EBIT = 2,000,000
DCL = 3.0
Solving for i
Thank you for your help
CindyThis question is from textbook fundamentals of contemporary financial management

Click here to see answer by stanbon(26249)

Question 175940This question is from textbook
: The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers?This question is from textbook

Click here to see answer by stanbon(26249)

Question 176427: In the word problem , three consecutive numbers where 3times the first is 4 more than 2 times the second. The answer I came up with is 3z=4+2z+1+z+2.
Click here to see answer by jim_thompson5910(13785)

Question 176657: twice the smallest of three consecutive odd integers is 7 more than the largest.
Click here to see answer by Mathtut(3670)

Question 176691: The area of a triangle is 126cm^2, and the altitude is 3 less than twice the base. Find the length of the base.
Click here to see answer by solver91311(5070)

Question 176694: Thank you for helping me but can you please go faster because i need now ok thanks
Click here to see answer by solver91311(5070)

Question 176693: Farmer Billy Bob has 210m of fencing to enclose his pig pen on all 4 sides. What dimensions should his pig pen be to enclose the largest possible area?
Click here to see answer by Earlsdon(4898)

Question 176689: The sum of the squares of two consecutive integers is 265. Find the numbers.
Click here to see answer by Alan3354(6047)

Question 176688: Duncan hits a volleyball out of bonds on a path given by the equation
h= -o.1d^2+d+1. The height of the volleyball is h metres, and the horizontal distance from Duncan is d metres. What is the maximum height reached by the ball?
Click here to see answer by stanbon(26249)

Question 176685: 15 more than the square of a number is 8 times the number
Click here to see answer by solver91311(5070)

Question 176710: Duncan hits a volleyball out of bonds on a path given by the equation h=-0.1d^2+d+1. The height of the volleyball is h metres. What is the maximum height reached by the ball?
Click here to see answer by Fombitz(2113)

Question 176873: Using the five step method answer the following: When the digits of a two-digit number are reversed, the new number is 9 more than the orginal number, and the sum of the digits of the orginal number is ll. what is the orginal number?
Click here to see answer by Mathtut(3670)

Question 176895: The difference between three times one number and a lesser one is 37. The sum of the greater number and twice the lesser number is 38. Find the numbers. Please include a "let statement.".
Click here to see answer by josmiceli(3003)

Question 177083: Jim's nephew owns a triangular plot of land. The perimeter fence that surounds the land measures 121 feet. The shortest side is 15 feet longer than one half of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side.
Click here to see answer by MathTherapy(336)

Question 177082: Sandy has $3.25 in change. She has five more dimes that quarters but twice as many nickles as dimes. Express the given information as a algebraic expression and simplify
Click here to see answer by MathTherapy(336)

Question 177217This question is from textbook intermediate algebra
: two different teas are mixed to make a blend that will be sold at a fair. Black tea sells for $2.20 per pound and orange pekoe tea sells for $3.00 per pound. How much of each type of each should be used to obtain 4 lb of a blend selling for $2.50This question is from textbook intermediate algebra

Click here to see answer by stanbon(26249)

Question 177458: 7a-(a-5)=-10
Click here to see answer by nerdybill(2446)

Question 177485: 2-f=f/5
Click here to see answer by Fombitz(2113)

Question 177562: At a movie theatre, admission tickets are $5 for children and $8 for adults. The receipts for Friday evening were $2500. The next day, there were three times as many children as the preceding evening and only half the number of adults as the night before, yet the receipts were still $2500. Find the number of children who attended Friday evening.
Click here to see answer by Mathtut(3670)

Question 177570: M=2500(1+0.00375)^60
Click here to see answer by stanbon(26249)

Question 177700: I know there is a simpler way of doing this problem other than replacing the variable with each consecutive integer until they add up to 300, because I tried that and they didn't add up. I would appreciate any help with this problem.
"The sum of the consecutive integers 1,2,3, ..., n is given by the formula . How many consecutive integers, starting with 1, must be added to get a sum of 300?"
Click here to see answer by stanbon(26249)

Question 177735: can you show me the steps it takes to use Hero's formula for the area of a triangle
A=(square root..did not know how to put this symbol in)s(s-a)(s-b)(s-c)
if a=5in.,b=12in.,c=5in., and s=6in.
I don't understand the steps used in solving this problem.....thanks
Click here to see answer by jim_thompson5910(13785)

Question 177736: Conversion of Celsius to Fahrenheit
F=9/5C+32, if c=-10
can you give a step by step explaining calculations?
Click here to see answer by jim_thompson5910(13785)

Question 177914: If a hen and a half lay an egg and a half in a day in and a half, how many eggs will six hens lay in seven days?
Click here to see answer by Mathtut(3670)

Question 177917: 5x/6=2x-7
Click here to see answer by Mathtut(3670)

Question 177956: h = vt - 16t^2 solve for v
Click here to see answer by edjones(3291)

Question 177982: Of the whole numbers 10, 11, . . . 98, 99 how many are greater than the sum of their digits?
Click here to see answer by Mathtut(3670)

Question 177984: Of the whole numbers 10, 11, . . . 98, 99 how many are greater than the sum of their digits?
Click here to see answer by Mathtut(3670)

Question 178085: How many different four-digit numbers have the same digits as 1993?
Click here to see answer by gonzo(654)

Question 178084: How many terms are there in the following sequence 1,8,15,22,.....,113?
Click here to see answer by josmiceli(3003)

Question 178145: a+b+c=P solve for c (can you explain step by step please)
Click here to see answer by jim_thompson5910(13785)

Question 178145: a+b+c=P solve for c (can you explain step by step please)
Click here to see answer by Mathtut(3670)

Question 178176: 3/4(4-x)=3-x Can you explain this step by step for me. I know x=0 but I can't figure out why
Click here to see answer by stanbon(26249)

Question 178477: I need help solving this word problem... Thanks
"Suppose that 40% of a number is added to the number, and the result is 315. find the number."
Click here to see answer by Mathtut(3670)

Question 178532: if 1/3 is an added to the reciprocal of a number , the result is 3 more than 3 times the reciprocal of the original number. find the number /
Click here to see answer by stanbon(26249)

Question 178662: The sum of three numbers is 26. Twice the first minus the second is two less than the third. the third is the equivalent to the difference between the second and three times the first. find the three numbers.

thanks for the help!!!
Click here to see answer by stanbon(26249)

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, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195