Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 328484: The total solar radiation H on a particular surface during an average clear day is given by:
H=5000/T^2+10
where t (-6 < equal to or less than t < equal to or less than 6 ) is the number of hours from noon. Note that 6 a.m. is equivalent to t = -6. Find the instantaneous rate of change of H with respect to t at 3 p.m.

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Question 328487: 2. The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:
h=0.000104x^4-0.0417x^3+4.21x^2-8.33x
Find the instantaneous rate of change of h with respect to x for x = 120 km.

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Question 328643: 15a^5/12b^7 / 5a^3/3b^2
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Question 328790: Can an umbrella 1.3m long be packed flat in a box 1.1m by 0.3m? Give reasons for your answer. [Pythagorean Thereom]
Please help me, thank you!

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Question 329032: mansi is using an interactive map on her computer that allows her to zoom in or out. each time she zooms out the scale of the map increases by a power of ten. if she zooms out four times the scale is 10 to the 4th power times greater. write this number in standard form.
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Question 329236: If One sheepherder said to other sheepherder; give me ten of your sheep to have twice times of you. The other sheepherder answers him; give me ten of your sheep to have equals sheep. how many sheep has each one ?
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Question 329320: Looking for assistance in creating an equation to solve the following problem.
The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the car's speed, and inversely as the radius of the curve. If a force of 3600 pounds is needed to keep an 1800 pound car traveling at 20 mph from skidding on a curve of radius 600 feet what force would be required to keep the same car from skidding on a curve of radius 570 feet at 50 mph?

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Question 329730: If a man throws a wrench from a height of 128 feet with an initial velocity of 32 feet per second, what is the height of the wrench after 1 second? How long does it take for the wrench to reach the ground? The height of the wrench above the groundafter t seconds is given by S(t)=-16t-32t+128
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Question 330010: The sum of three numbers is -48 the first is 12 more than the second number, and the third number is 20 less than twice the second number find the three numbers
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Question 330259: what is the answer to twice the sum of a certain number and 26 is 27
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Question 330404: a canoe can travel 12 miles upstream in the same amount of time it takes to travel 30 miles downstream. if the speed of the current is 6 miles per hour, what was the speed of the canoe in still water?
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Question 330402: the number of chipmunks varied directly as the number of acorns in the forest. if it took 100 acorns to feed 5 chipmunks, how many acorns will it take to feed 30 chipmunks?
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Question 330401: the pressure of a quantity of an ideal gas was held constant. the initial volume and volume and temperature were 20 liters and 273 K, respectively. what would be the final temperature if the final volume was 30 liters?
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Question 330435: the number of chipmunks varied directly as the number of acorns in the forest. it took 100 accorns to feed 5 chipmunks, how many acorns will it take to feed 30 chipmunks?
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Question 330434: the pressure of a quanity of an ideal was held constant. the initial volume was 20 liters and 273 K, respectively. what would be the final temperature if the volume was 30 liters?
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Question 330736: adults tickets to a play cost $5 and students tickets cost $2. if 295 tickets were sold amd the total receipts were $950, how many students tickets were sold?
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Question 331034: seven more than the product of a number and 10?
how can i write it algebraically?

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Question 331683: I have a word problem that I would like help simplifying.
The sum of 2 numbers is 20,and the sum of their squares is 218.Find the numbers.
I have created equations of x+y=20 and x*x+y*y= 218. but I am assuming I need to break down the second equation to substitute the value of 20 for the term x+y.
Any help would be great
Thanks
Steve

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Question 332386: seven more than the product of a number and 10
the product of the cube of a number and -6
twice the sum of a number and 8
the cube of the difference of a number and 7

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Question 332850: Tom's home is 1800m from his school. One morning he walked part of the way and then ran the rest. If it took him 20 min or less to get to school and he walks 70m/min and runs 210m/min how far did he run?
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Question 332978: In how many arrangements can 7 women and 7 men be placed in a line if the women and men alternate?
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Question 333358: How do you write the equation; divide the last 2 digits by 2?
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Question 332934: Sarah bought 8 folders and 3 rulers. Leah bought 3 folders and 8 rulers. If Sarah's total purchase was $1.25 more than Leah's, how much was each folder?
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Question 331123: HAVING TROUBLE WITH THIS PROBLEM MICHELLE RODE HER BICYCLE FROM HER HOUSE TO SCHOOL AT AN RATE OF 8 MILES PER HOUR. LATER THAT DAY , SHE RODE FROM SCHOOL BACK HOME ALONG THE SAME ROUTE AT AN AVERAGE SPEED OF 12 MILES PER HOUR. IF THE ROUND TRIP TOOK HER 1 HOUR, HOW MANY MILES LONG IS THE ROUND TRIP.
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Question 328791: Each coloured square has sides 3cm long. Find the lengths of the sides of the outer square, to the nearest millimeter. [Pythagorean Thereom]
Please help me, thank you!

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Question 333961: The product of 2 more than a number and 10 is 36 more than 8 times the number. What is the number?
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Question 334298: A square support unit in a television is made with a side measuring 10 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 10.3 centimeters. By how much will the area of the square be increased?
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Question 334298: A square support unit in a television is made with a side measuring 10 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 10.3 centimeters. By how much will the area of the square be increased?
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Question 334981: The maximum healthy body fat percentage for a woman is 26%. If a woman weighs 150lb, what is the maximum number of pounds of fat should she have?
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Question 334981: The maximum healthy body fat percentage for a woman is 26%. If a woman weighs 150lb, what is the maximum number of pounds of fat should she have?
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Question 335115: The sum of two numbers is 91. One of the numbers is 9 more than the other. What are the numbers?
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Question 335187: A lamp is marked with a sale price of 23.80, which is 15% off the regular price. What is the regular price?
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Question 335307: If a car travels 280 miles at 55 mph, how many hours is that?
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Question 335457: luis weighs 5 pounds more than carla. carla weighs 2 pounds more than rita. together their weights total is 333 pounds how much does each weigh???
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Question 335445: a rectangle is 12 meters longer than it is wide. its perimeter is 68 meters. find its length and width.
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Question 335482: a rectangle is 12 meters longer than it is wide. its perimeter is 68 meters find its length and width.
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Question 335477: Luis weighs 54 more than carla. Carla weighs 2 pounds more than rita. Together their weights total 333 pounds. How much does each weigh?
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Question 335942: the gym is 21 years newer than the auditorium. the gym is also one fourth as old as an auditorium. how old is each building?
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Question 336536: A passenger train travels 295 mi in the same amount of time it takes a freight train to travel 225 mi. The rate of the passenger train is 14 mph greater than the rate of the freigh train. Find the rate of each train.
Distance Rate Time
passenger 295 14+r 295
14+r


freight 295 r 225 225
r

295 + 225 = ?
14+r r

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Question 336848: five times a number, decreased by two is equal to three times the difference of the number and three
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Question 336978: A quadrilateral has perimeter 60cm, and the lengths of its sides (in centimeters) are consecutive odd numbers.
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Question 337462: the perimeter of a rectangular garden is 56ft. The length is 4 more ft than the width. What are the dimensions of the garden?
the perimeter of a rectangular garden is 56ft. The length is 4 more ft than the width. What are the dimensions of the garden?
P=56
Equation:p=2L+2W
L=w+4
56 = 2(w+4)+2w
56 = 2w+8+2w
56 = 4w+8
56-8=4w+8-8
48=4w
48/4=4w/4
12=w is the width
Plug in equation above to get the length:
L=12+4=16

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Question 337467: the perimeter of a rectangular lot is 190 ft. the width of the lot is 15ft more than the length. what are the dimensions of the lot.
P=2L+2W
W=L+15
190=2L+2(L+15)
190=2L+2L+30
190-30=4L
160/4=L
40=L
W=40+15=55
DIMENSIONS IS 55 FEET BY 40 FEET.

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Question 337574: 32.00 dollars total bill. Jeans cost 10.00 dollars more than shirt. What did jeans cost?
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Question 337691: what is 180(n-2) translated into words?
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