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

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Question 165239: 8(4.50A plumber makes $4.50 per hour more than his apprentice. During an 8-hour day their combined earnings total $372. How much does each make per hour? (Hint: If you decide to use cents instead of dollars, then use 450 cents per hour and 37200 cents total earnings.)
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Question 165238: I have twice as many nickels as quarters. If the coins are worth $4.90 how many quarters are there?
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Question 165256: One number is four more than a second number. Two times the first number is 12 more than four times the second number.
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Question 165255: Julie and Eric row their boat (at a constant speed) 45 miles downstream for 5 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the
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Question 165473: a group rental a cabin for 300$ for weekend if one more person goes alonge the price per person is reduces by 10$ how many people are in the original group
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Question 166248: The highway has a 6% grade on descent, which means it's slope is - 6/100. Driving on this road, you notice from elevation signs that you have descended a distance of 1000 ft. What is the change in your horizontal distance?
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Question 166271: Three lighthouses on three nearby islands flash their lights every evening beginning at 8:35pm. On one island, the ligh flashes every 45 seconds. The lighthouse on the second island has a light that flashes every 2 minutes. The third lighthouse flashes a light every 1 1/4 minutes. At what time will all three lights flash together again?
This is a problem of the week just given to my child on a single piece of paper.


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Question 166271: Three lighthouses on three nearby islands flash their lights every evening beginning at 8:35pm. On one island, the ligh flashes every 45 seconds. The lighthouse on the second island has a light that flashes every 2 minutes. The third lighthouse flashes a light every 1 1/4 minutes. At what time will all three lights flash together again?
This is a problem of the week just given to my child on a single piece of paper.


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Question 166271: Three lighthouses on three nearby islands flash their lights every evening beginning at 8:35pm. On one island, the ligh flashes every 45 seconds. The lighthouse on the second island has a light that flashes every 2 minutes. The third lighthouse flashes a light every 1 1/4 minutes. At what time will all three lights flash together again?
This is a problem of the week just given to my child on a single piece of paper.


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Question 166920: Algebra
You are working with three different numbers. When the first number is added to twice the other two numbers, the result is 64 (x + 2y + 2z= 64). When the second number is added to twice the other two numbers the result is 62. Finally, when the third number is added to twice the other two numbers, the result is 59. what are the three numbers??

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Question 167042: Eleven less than the quotient of a number and 3 is 18. Find the number.
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Question 166817: a piece of bar stock 32in. long is cut into two unequal lentghs. one piece is 3 times as long as the other. how long is each piece? 24in and 8in is the answer im not sure how to write it out
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Question 167435: 18 less than the product of 4 and the mystery number was equal to 15 more than the number. Find the mystery number?
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Question 167568: The greater of two numbers is 5 more than the smaller. If the smaller is added to twice the greater, the results is 22. Find both of the numbers
Word problem always stump me
x+5 + 2x = 22
3x+5 = 22

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Question 167571: The smaller of two numbers is 3 less that the larger. Twice the larger plus 4 times the smaller is 36. Find the numbers

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Question 167908: Michael received $1,000 as a graduation gift. He invested part of the money at 5% and the rest at 6%. His interest after one year is $58. How much did he invest at each rate?
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Question 168139: Two traveler were 125 Kilometers apart at 2:00pm and were headed toward each other. If they met at 3:15p.m. and one was traveling 20 kilometers per hour faster than the other, what was the speed of each traveler?
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Question 168137: What is the algegra equation for this word problem:
Train leaves a station traveling at 64 kilometers per hour. Train B leaves the same direction at 74 kilometers per hour. How long does it take train b to catch up to train a?

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Question 169022: Natasha drove from Bedington to Portsmouth at an average speed of 100 km/h. On the way back she drove at 75 km/h. Her trip took a total of 3.5 hours. What is the distance between Bedington and Portsmouth?
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Question 169022: Natasha drove from Bedington to Portsmouth at an average speed of 100 km/h. On the way back she drove at 75 km/h. Her trip took a total of 3.5 hours. What is the distance between Bedington and Portsmouth?
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Question 169031: A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal between opposite corners is 130 ft. What are the dimensions of the parcel?
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Question 169265: Julie and Eric row their boat (at a constant speed) 45 miles downstream for 5 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current.
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Question 169293: Tony has 600 feet of fencing to use in making a yard for her new puppy. The yard she has planned has a length that is 75 feet less than twice the width. What are the dimensions of the yard?
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Question 169364: The sum of two numbers is six. The sum of the squares of the two numbers is twenty. Find the two numbers.
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Question 169579: The perimeter of a rectangle is 148 feet. The length is 14 feet greater than 1.5 times the width. What is the length?
Answer is 50 feet. How was that found?

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Question 169682: A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking rate 2?
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Question 169680: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 6 feet shorter and the other 5 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 29 feet, so that it does not cover a huge area of the garden. Determine the length of each side of the triangular area that Jenny has visualized.
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Question 169468: The cost of a shirt plus a sales tax of $0.87 equals $16.86. Find the cost of the shirt.
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Question 170081: 2. A student writes down the following as part of her response:







a ) 32 ´ 33 = 729. and b) 3 -2 = -9.







Are her answers correct? If not, explain why you think her answers are incorrect.







Include in your explanation what she did wrong, if any.







What would you advise her to do instead?


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Question 170080: 1. A) Write the sentence (-x)2 ¹ -x2 in words.







In your own words explain why (-x)2 and -x2 are not equivalent. Provide an example to support your explanation.







B) Evaluate (a) 3x0 and (b) (3x)0 when x is not 0. Are the results different? If so, explain in your own words why they are different. If not, then state so.


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Question 170086: 2. A student writes down the following as part of her response:







a ) 3^2 x 3^3 = 729. and b) 3^-2 = -9.







Are her answers correct? If not, explain why you think her answers are incorrect.







Include in your explanation what she did wrong, if any.







What would you advise her to do instead?


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Question 170227: 7. Write without negative exponents (3x^2 y^3)^-5
= 1/(3x^2y^3)^5
-----------------
Cheers,
Stan H.

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Question 170226: 2. Find the product of the cube of (-4/3) and square of (-3/2).
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Question 170233: 2. A cubic support unit in a television is made with a side measuring 2.5 centimeters. A new model being designed for the upcoming year will have a larger cube with a side measuring 2.8 centimeters. By how much will the volume of the cube be increased?
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Question 170232: 1. A triangular window of height 15 inches and base 21 inches is to be laminated with a sunblock coating that costs $1.22 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Hint: Area of Triangle: A = base*height/2)
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Question 170232: 1. A triangular window of height 15 inches and base 21 inches is to be laminated with a sunblock coating that costs $1.22 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Hint: Area of Triangle: A = base*height/2)
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Question 170274: 7. One common use of positive and negative exponents is in writing numbers as scientific notation. For example 0.000052 can be written as 5.2  10-5. A) Use scientific notation and the laws of exponents to evaluate (0.000054)(0.00000033)(0.013). Leave your answer in scientific notation. B) If a space probe travels at 12 kilometers per second for 10 years, how far will it travel? Write your answer in scientific notation. (Assume 1 year = 365 days)
Scientific Notation: A number is expressed in scientific notation when it is in the form a x 10n, where a is greater than or equal to 1 but less than 10 and n is an integer.

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Question 170272: 5. A concrete driveway measures 14 yards by 5 yards. The driveway will be 0.75 yards thick. (a) How many cubic yards of concrete will be needed? (b) How much will it cost if concrete is $4.75 per cubic yard?
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Question 170269: 3. The area of a circle is 17 square meters. What is its circumference?
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Question 170386: 6. For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 54 square inches of cake. How many batches of the topping must he make to complete his torte? (Use p = 3.14 as an approximate value)
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Question 170385: 5. A concrete driveway measures 14 yards by 5 yards. The driveway will be 0.75 yards thick. (a) How many cubic yards of concrete will be needed? (b) How much will it cost if concrete is $4.75 per cubic yard?
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Question 170383: 3. The area of a circle is 17 square meters. What is its circumference?
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Question 170383: 3. The area of a circle is 17 square meters. What is its circumference?
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Question 170384: 4. A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
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Question 170273: 6. For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 54 square inches of cake. How many batches of the topping must he make to complete his torte? (Use  = 3.14 as an approximate value)
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