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

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Question 323635: I have to make an equation for this problem: A teacher goes to Company B to buy supplies and for every dollar amount spent over $20 there is a 30% discount given. I thought the equation would be y=.30x+20 or y=x-20(.30). Are either of these correct?
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Question 324051:

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Question 324049: A vendor sells hot dogs and bags of potato chips. The first customer buys 3 hot dogs and 5 bags of chips and pays $14.74. The second customer buys 2 hot dogs and 2 bags of chips and pays $7.50. What is the price for each hot and each bag of chips?
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Question 324054: A college student earned $5100 during summer break. He invested all the money. Part of the money he invested at 8% and the rest at 6%. He earned a total of $362.00 in interest. How much did he invest at 8% and how much did he invest at 6%?
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Question 324053: You purchased tickets for 5 adults and 2 children. The total cost of all the tickets was $97.00. The child's tickets cost $4.00 less than an adult ticket. What is the cost of an Adult ticket and the cost of the child's ticket?
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Question 324919: And Estate of $1,000,000 is left to four siblings. The eldest is to recieve twice as much as the youngest. The other two siblings are each to recieve #16,000 more than the youngest How much will each receive.

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Question 324919: And Estate of $1,000,000 is left to four siblings. The eldest is to recieve twice as much as the youngest. The other two siblings are each to recieve #16,000 more than the youngest How much will each receive.

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Question 325205: a guy wire on a cell phone tower is 130 ft long and is attached to the top of the tower. The height of the tower is 70ft longer than the distance from the point on the ground where the wire is attached to the bottom of the tower. Find the height of the tower?
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Question 325401: In a collge there are 13 times as many students as professors. If together the students and professors number 28,000. how many students are there in the college?
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Question 325400: Miriam is four years older than Ricardo. Ten yeras ago Miriam was 3 times as old as Ricardo was then.
A. How old are they now?
B. Determine whether your answer is correect by checking that it satisfies the conditions of the problem.

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Question 326897: There are 1500 sold tickets to an event. 25 dollars for covered seats and 15 dollars for uncovered seats. The total cost of all sold tickets is 28,500. How many covered and uncovered seats were purchased.
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Question 326897: There are 1500 sold tickets to an event. 25 dollars for covered seats and 15 dollars for uncovered seats. The total cost of all sold tickets is 28,500. How many covered and uncovered seats were purchased.
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Question 327075: Factor completely.
-5x^4 + 70x^3 - 225x^2

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Question 327076: Factor completely.
8x^2 - 512

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Question 327074: simplify if possible
32u^7z^6/8u^3z^4

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Question 327480: Create an equation: absolute value of the number whose distance from 3 is less than 2
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Question 328199: a tree casts a shadow that is 22m long. At the same time, the shadow cast by a 70cm tall statue is 54cm long. Find the height of the tree.
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Question 328462: "Write a variable expression for "7 times the sum of x and 5."
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Question 328466: Hello, I was wondering if you can help me out this summer.
You see next year I am going into the 10th grade and taking Algebra 2, and I wanted to know will it be like Algebra 1 or some other.

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Question 328493: 6. The power supply P (in watts) in a satellite is given by:
P=100e^-0.005t
where t is measured in days. Find the time rate of change of power after 100 days.

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Question 328500: The velocity ds/dt (in meters/second) of a projectile is given by
ds/dt=-9.8t+16
Find the displacement s of the object after 4 seconds if the initial displacement is 48 m.

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Question 328500: The velocity ds/dt (in meters/second) of a projectile is given by
ds/dt=-9.8t+16
Find the displacement s of the object after 4 seconds if the initial displacement is 48 m.

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Question 328499: A space vehicle is launched vertically from the ground such that its velocity v (in km/s) is given by:
v= (ln^2(t^3+1)) t^2/t^3+1
where t is the time in seconds. Find the altitude of the vehicle after 10 seconds.

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Question 328490: 4. A bullet is fired vertically upward. Its distance s (in ft) above the ground is given by:
s=2250t-16.1t^2 where t is the time (in s).
Find the acceleration of the bullet.

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Question 328491: 5. An airplane flies over an observer with a velocity of 400 mph and at an altitude of 2640 ft. If the plane flies horizontally in a straight line, find the rate at which the distance x from the observer to the plane is changing 0.6 min after the plane passes over the observer. RE sketch below.
400 mph P

2640 ft X


O

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Question 328496: A missile is launched and travels along a path that can be represented by:
y= the Square root of X
A radar tracking station is located 2 km directly behind the launch pad. Placing the launch pad at the origin and the radar station at (-2, 0), find the largest angle of elevation required of the radar to track the missile

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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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