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Question 145651: Help with 2 word problems
Solve the following applications problems using any method
A couple working towards retirement made two investments totaling $15,000. In one year, these investments yielded $1432 in simple interest. Part of the money was invested at 9% and the rest at 10% How much was invested at each rate?

A car travels 300 miles in the same amount of time that a car traveling 5 miles and hour slower travels 275 miles. At what speed (rate) is each car traveling?

With both of these I can get so far and I get stuck Thanks
Click here to see answer by Earlsdon(6294)

Question 146803: Solve:
One number is 11 less than a second number. Twice the second number is 52 more than 4 times the first. Find the two numbers.
Click here to see answer by 24HoursTutor.com(40)

Question 147059: S(t) = -16t^2 + 150t + 5
Click here to see answer by checkley77(12844)

Question 147568: Tom and David have 480 marbles between them. Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.

I cannot figure how to express the information in the form of an equation. From the directions, it seems that all the information should be included in one equation, but I am at a loss. I did come up with the info below, but I am unsure if this is what is being asked. Any help would be appreciated.
t + d = 72 columns
6t + 9d = 480 marbles

Click here to see answer by stanbon(75887)

Question 147818: soybean meal is 14% protein; cornmeal is 7% protein.how many pounds of each should be mixed together in order to get 280lb mixture that is 12% protein?
how many pounds of cornmeal should be in the mixture?
how many pounds of soybean meal should be in the mixture?
Click here to see answer by ankor@dixie-net.com(22740)

Question 148338: Jack gave 1/2 of her apple to Jill, Jill gave 1/3 of the apple he received to Pete and Pete gave 1/4 of what he received to Mike, if Mike received 24 apples, how many did Jack heve originally?
Click here to see answer by ankor@dixie-net.com(22740)

Question 148366: a disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 11 minutes how many 30 second commercials were played that hour? How many 60 second commercials?
Click here to see answer by mangopeeler07(462)

Question 148628: The present value P that will amount to A dollars in N years with interests compounded annually at an interest rate R is given by
Find the present value that will amount to 50,000 in 20 years at 8% compounded annually

Click here to see answer by checkley77(12844)

Question 149008: 1. The ratio of two numbers in 6:1.If their difference is 35, what is the smaller number?
2. The ratio of the width to the length of a rectangle is 2:3. If the area of the rectanglle is 216 sq. cm. , what is its width?

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

Question 149664: Solve for x
-8x+14=-2(4x-7)
Click here to see answer by jim_thompson5910(35256)

Question 150594: There are 44 students in a canteen. If there are 28 more girls than boys, how many boys and how many girls are in the canteen?
Click here to see answer by nerdybill(7384)

Question 151375: Five tables and eight chairs cost $115; three tables and five chairs cost $70. Determine the cost of each table and each chair.
Click here to see answer by oscargut(2103)

Question 151377: A merchant sold his entire stock of shirts and ties for $1000, the shirts being priced at 3 for $10 and the ties at $2 each. If he had sold only 1/2 of the shirts and 2/3 of the ties he would have collected $600. How many of each kind did he sell?
Click here to see answer by ankor@dixie-net.com(22740)

Question 151501: For about what value(s) of x does g(x)=k(x) if g(x)=2x^2 -8 and k(x) =-x^2 -2?
x~ +or-2
x~ +or-2.3
x~ 1.4
x~ +or- 1.4

Click here to see answer by jim_thompson5910(35256)

Question 151680: anne buys a plant whose height is 8cm. the plant is growing at a rate of 4/5 cm per week. when will its height exceed 13 3/5 cm.
Click here to see answer by jojo14344(1513)

Question 151722: Sally paints a house in 4 hours, John can paint the same house in 6 hours, how long will it take for Sally and John to paint the house together?
Click here to see answer by checkley77(12844)

Question 152192: A,B and C can do a piece of work together in 3 days. A can do it alone in 10 days and B can do it alone in 8 days. How long will it take C to do the job alone?
Click here to see answer by edjones(8007)

Question 152191: A can paint a certain house in 10 days and B can paint the same house in 12 days. How long will it take to paint the house if both men work?
Click here to see answer by Alan3354(69443)

Question 152453: ``anne buys a plant whose height is 8cm. the plant is growing at a rate of 4/5 cm per week. when will its height exceed 13 3/5 cm.''. This problem needs to have < and > in it. someone please help me.
Click here to see answer by vleith(2983)

Question 152624: First equation is x + y = 56
Second equation is where I am having the problem with interperting:
The sales representative later indicates that there are 3 times as many homes available with second floor plan than the first. Write an equation that illustrates this situation. Heres what I think the secon equation should look like: x + 3y =0?
When trying to solve with substitution my answers become false.
y= -x + 56 x + 3(-x + 56)= 0
x -3x + 168 = 0
-2x + 168 = 0
-2x = -168
x = 84
y= 84 + 56
y= 140
x + y = 56
84 + 140= 196

Click here to see answer by Fombitz(32388)

Question 152913: Hi iam having some problems with this question, i would appreciate it very much if you could solve it for me, thank you.
Equalizing cost.
United products co. manufactures calculators and has plants in the cities of Exton AND WHYTON .At the Exton plant, fixed cost are $7000 per month , and cost of producing each calculator is $7.50.At the Whyton plant ,fixed cost are $8800 per month ,and each calculator costs $6.00 to produce .Next month ,United products must produce 1500 calculators.How many must be made at each plant if the total cost at each plant is be the same

Click here to see answer by Earlsdon(6294)

Question 155011: the total population of a region in a certain country is 15 500.A village with a population of 620 is situated in this region.Express the population of the village as a percentageof the totalpopulation of this region

Click here to see answer by oscargut(2103)

Question 155294: Could you show me the steps you take to solve:
The sum of two integers is thirty. Eight times the smaller integer is six more than five times the larger integer. Find the integers.
Click here to see answer by stanbon(75887)

Question 157065: find the volume of cube when each side x is 10 ft
Click here to see answer by atique.ah(27)

Question 157769: A train leaves the station at 6p traveling west, going 80 miles per hour on a parallel track,a second train leaves the station three hours later traveling west at 100 miles and hour, at what time will the second train catch up with the first?
Click here to see answer by nerdybill(7384)

Question 158450: I have no idea how to set up this problem! Once the equation is set up i know how to solve it. Do you have any suggestions concerning word problems?

HERE'S THE EQUATION...
A coin purse contains an equal number of nickels, dimes and quarters. The total amount of money in the purse is 680 cents. How many nickels are in the coin purse?

Click here to see answer by Electrified_Levi(103)

Question 158853: The sum of the digits of a two-digit number is 7. When the digits are reversed, the number formed is 27 more than the original number. Find the original number.

Click here to see answer by nerdybill(7384)

Question 159172: At a minor league stadium, grandstand seats cost
$10 and bleacher seats cost $6. The total receipts
from the tickets sales for a certain game were less
than $10,000. Write a linear inequality that describes
the number of each kind of ticket sold.

Click here to see answer by checkley77(12844)

Question 159383: There are 210 students doing the morning exercise. Kinder, Grade Five, and grade six. There are 15 more grade five children than Kinder and 45 less grade six children than kinder. How many children from each grade are exercising?
Click here to see answer by nerdybill(7384)

Question 159843: Two friends are renting an apartment. They pay the landlord the 1st months rent. The landlord also requires them to pay an additional half of a months rent for a security deposit. The total amount they pay landlord before moving in is $1725. What is the monthly rent?
Click here to see answer by petvetizhere(5)

Question 160902: A photograph that measures 20 cm by 35 cm is to be surrounded by a matte before framing. The
width of the matte will be equal on all four sides. If the area of the matte will be twice the area of
the photograph, determine the width of the matte.
Click here to see answer by ankor@dixie-net.com(22740)

Question 161029: twice the greater of two consecutive odd integers is 13 less than three times the lesser number. find the integers
Click here to see answer by ankor@dixie-net.com(22740)

Question 161028: two less than one third of a number equals 3 more than fourth of the number. find the number
Click here to see answer by ankor@dixie-net.com(22740)

Question 161094: Apply scientific notation to scientific models/ word problems.

1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)

Click here to see answer by checkley77(12844)

Question 161323: A youth group with 26 members is going skiing. Each of the five chaperons will drive a van or a sedan. The vans can seat seven people, and the sedans can seat five people. How many of each type of vehicle could transport all 31 people to the ski area in one trip?
I really need help I do not understand this word problem at all please help me
Click here to see answer by vleith(2983)

Question 161483: I need help to solve this "Tom�s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?"
Click here to see answer by checkley77(12844)

Question 161736: a certain number, if two digits equals 4 times thew sum of its digits. the number made by reversing the order of the digits is 27 greater than the given number. what is the number?
Click here to see answer by Fombitz(32388)

Question 161731: A man rowed 10 km up ariver in 5 hours and back in 21/2 hours. Find the rate of the current and his rate of rowing in still water.
Click here to see answer by josmiceli(19441)

Question 161784: jessica ran a marathon. it took her 3 hours and 2 minutes to run 26 miles. if she ran at the same rate for the whole race how many minutes did it take for her to run each mile?
Click here to see answer by checkley77(12844)

Question 161988: The scale distance on a map varies directly as the actual distance. If the actual distance of 1500 km is represented by 5 cm on the map, what is the actual distance represented by 12 cm?
Click here to see answer by KnightOwlTutor(293)

Question 161985: In y=4x, what happens to y when x is doubled?increased by 2?decreased by 3?halved?
Click here to see answer by KnightOwlTutor(293)

Question 161984: In y=4x, what happens to y ehn x is doubled?increased by 2?decreased by 3?halved?
a) Lets double x: so x becomes 2x
y=4x
y=4(2x)
y=8x....y is doubled
b) Lets increase x by 2; so x becomes x+2
y=4x
y=4(x+2)
y=4x+8 so y increased by 8
c) Let x be decreased by 3 so x becomes x-3
y=4x
y=4(x-3)
y=4x-12....so y is decreased by 12
d) Let x be halved, so x becomes x/2
y=4x
y=4(x/2)
y=4x/2..... so y is halved
Click here to see answer by eperette(173)

Question 161986: A weight of 250g stretches a spring to a distance of 9.5 cm. If the distance stretched is directly proportional to the attached weight, what weight will stretch the spring to 5.7cm?
Click here to see answer by Edwin McCravy(20055)

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