Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 79359: kevin bought 3 muffins and a bottle of juice that cost $1.45. He paid a total of $3.70. How much did each muffin cost?? (disregard tax)
Click here to see answer by chitra(359)

Question 79361: the perimeter of a rectangele is 43 in. if the length of the rectangel e is 7 in, what is the width of the rectangle
Click here to see answer by chitra(359)

Question 79451: How can I determine the correct half-plane boundry line graphed for this linear inequality. y>3?
Click here to see answer by stanbon(57967)

Question 79497: can you tell me if this is the correct answer and set-up.
find the inverse of the function f(x)=5+3x
y=5+3x
x=5+3y
x-5=-5+5+3y
x-5=3y
___ __=y
3 3
f-1(x)=x-5
___
3
Click here to see answer by stanbon(57967)

Question 79598: Science and Medicine. The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula.
Rt= 1
1/r1 + 1/r2 simplify the formula
Click here to see answer by Earlsdon(6294)

Question 79596: Science and medicine. A plane flies 720 mi against a steady 30 mi/h headwind and then returns to the same point with the wind. If the entire takes 10 h, what is the plane's speed in still air?
Click here to see answer by ptaylor(2052)

Question 79595: Ariana took 2 hours longer to drive 360 miles on the first day of a trip than she took to drive 270 miles on the second day. If her speed was the same on both days, what was the driving time each day?
Click here to see answer by ptaylor(2052)

Question 79597: Business and Finance. Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by checkley75(3666)

Question 80091: can you help me solve this problem
√15√20
Click here to see answer by sprolden(40)

Question 80123: can you tell me if this problem is correct (3-2i)-(6+5i)
(3-2i)-(6+5i)=3-6-2i-5i=-3-7(-1)=-3+7=4
Click here to see answer by stanbon(57967)

Question 80124: can you tell me if I solve this problem correct (4-i)(6+i)
(4-i)(6+i)=24+4i-6i-1^2=24-2i+1=25+2i
Click here to see answer by stanbon(57967)

Question 80125: can you tell me if this correct answer
Convert to scientific notation:58,000,000
58x10^6
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Question 80093: consider the numbers -5, 2/3, √18, 0, 0.42, 3√7, 5 1/8
which are whole numbers and rational numbers but not integers
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Question 80126: can you tell me if this is the correct answer
simplify (6x^3+5x^2-2)-(11x^3-2x+8)=6x^3-11x^3+5x^2+2x-2-8=5x^3+5x^2+2x-10
Click here to see answer by sofiyacherni(99)

Question 80187: An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.

Click here to see answer by stanbon(57967)

Question 80209: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
Click here to see answer by sun1rea(1)

Question 80267: can you help me find the correct answer.
find the center and the radius of the circle
x^2+y^2+6y-27=0
Click here to see answer by stanbon(57967)

Question 80322: On an 18-hole golf course, there are par-3 holes, par-4 holes, and par-5 holes. A golfer who shoots par on every hole has a total of 70. There are twice as many par-4 holes as there are par-five holes. How many of each type of hole are there on the golf course? How many par-3 holes are there? []
Click here to see answer by mathtutor777(6)

Question 80320: if you can help i would greatly appreciate it,
One cup of vegetable A, six pieces of vegetable B, and one cup of vegetable C contain 12 grams of carbohydrates. One cup of vegetable A and six pieces of vegetable B have 1/2 the carbs of 1 cup of vegetable C. One cup each of vegetables A and C have 3 times the carbs of a serving of vegetable B. Find the number of grams of carbs in the given potion size of each vegetable.
vegetable A has [] grams, B has [] grams, and C has [] grams
Click here to see answer by scott8148(6628)

Question 80526: cost of gravel a gravel dealer charges $50 plus $30 per cubic yard for delivering a truckload of gravel. Express the total cost C(n) in dollars as a function of the number of cubic yards delivered n. Find C(12).

Click here to see answer by bucky(2189)

Question 80540: can you help me solve this problem
P=Irt for t
Click here to see answer by tutorcecilia(2152)

Question 81464: #66
Some scientists believe there is a limit to how long humans can live. One supporting argument is that during the last century, life expectancy from age 65 has increased more slowly than life expectancy from birth, so eventually these two will be equal, at which point, according to these scientists, life expenctancy should increase no further. In 1900, life expectancy at birth was 46yr, and life expectancy at age 65 was 76. In 2000, these figures had risen to 76.9 and 82.9 , respectively. IN both cases, the increase in life expenctancy has been linear. Using these assumptions and the data given, find the maximum life expectancy for humans.
Click here to see answer by ankor@dixie-net.com(15746)

Question 81462: #64
To achieve the maximum benefit for the heart when exercising, your heart rate (in beats per minute) should be in the target heart rate zone. The lower limit of this zone is found by taking 70% of the difference between 220 and your age. The upper limit is found by using 85%.
a) Find formulas for the upper and lower limits (u and I) as linear equations involving the age x.
b) what is the target heart rate zone for a 20-year-old?
c) What is the target heart rate zone for a 40-year-old?
d) Two women in an aerobics class stop to take their pulse, and are surpirsed to find that they have the same pulse. One women is 36years older than the other and is working at the upper limit of her target rate zone. The younger woman is working at the lower limit of hter target heart rate zone. What are the ages of hte two women, and what is their pulse?

Click here to see answer by ankor@dixie-net.com(15746)

Question 81550: Science and medicine. The equation h= -16t^2 + 112t gives the height of an
arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Click here to see answer by ankor@dixie-net.com(15746)

Question 81730: Determine the correct half-plane and complee the graph y>3

Click here to see answer by rapaljer(4667)

Question 81859: a certain isotope has a half life of three hours. if you start w/7945 grams, how many grams will there be 2 days from now?
Click here to see answer by kev82(148)

Question 81859: a certain isotope has a half life of three hours. if you start w/7945 grams, how many grams will there be 2 days from now?
Click here to see answer by Nate(3500)

Question 81863: The sum of two numbers is 20. The difference of the two numbers is twice the smaller number. Write a system of equations that will determine the two numbers.
Click here to see answer by checkley75(3666)

Question 82339: A garden area is 30 ft. long and 20 ft. wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path.
Click here to see answer by checkley75(3666)

Question 82299: An object is projected upward from the top of a tower. Its distance in feet above the ground after (t)seconds is given by s(t)= -16t^2+64t+80. How many seconds will it take to reach ground level? The answer is multiple choice.
a. 1 second
b. 4 seconds
c. 5 seconds
d. 8 seconds
Click here to see answer by stanbon(57967)

Question 82414: please help.
A furniture store marks up items 20%(based on cost). It the furniture store buys a couch for $350, what will the selling price be?
Click here to see answer by 303795(595)

Question 82480: Allied Airlines charges $90 for a ticket to fly between two cities 260 mi apart abd $150 for a ticket to fly between two cities 500 mi apart. At this rate, what would it cost for a trip between two cities 1000 mi apart?
Click here to see answer by stanbon(57967)

Question 80539: can you help me set up this problem
the number of inquiries the first week was 15. the number of inquiries the fourth week was 79. find the average rate of change in number of inquiries from the first week to the fourth week.
Click here to see answer by stanbon(57967)

Question 82492: So Iwould like to just check my answer to this problem. What did you get? A load of 8kg attached to the bottom of a coil spring stretches the spring to a length of 76 cm, and a load of 14kg stretches it to a length of 85cm. Find the natural (unstretched) length of the spring.
Click here to see answer by scott8148(6628)

Question 83168: #10
Write a linear cost function and identify all variables used.
A parking garage charges 50cents plus 35cents per half-hour.

#14
Assume that each situation can be expressed as a linear cost function. Find the cost function.
Marginal cost $90; 150items cost $16,000 to produce
Click here to see answer by Mogana(4)

Question 83171: #24
Marginal Cost of Coffee The manager of a restaurant
found that the cost to produce 100 cups of coffee is
$11.02, while the cost to produce 400 cups is $40.12.
Assume the cost is a linear function of x, the number
of cups produced.
a. Find a formula for C(x).
b. What is the fixed cost?
c. Find the total cost of producing 1000 cups.
d. Find the total cost of producing 1001 cups.
e. Find the marginal cost of the 1001st cup.
f. What is the marginal cost of any cup and what does this
mean to the manager?

Click here to see answer by stanbon(57967)

Question 83151: One recipe calls for 1/4 teaspoon vanilla, A second recipe requires for 1/2 teaspoon vanilla flour, and a third recipe calls for 1/8 teaspoon vanilla. How much vanilla is required to make all three recipes?
Click here to see answer by checkley75(3666)

Question 83365: there are 26 times as many students at Lincoln high school as teachers. When all the teachers and students are seated in the 900 seat school auditorium, only 9 seats are unoccupied. How many students are at Lincoln high?
Click here to see answer by checkley75(3666)

Question 83374: is 4 a solution to the equation x+7=11
I said yes x+7=11
x=4+7=11
Click here to see answer by Kalmetam(43)

Question 83374: is 4 a solution to the equation x+7=11
I said yes x+7=11
x=4+7=11
Click here to see answer by chitra(359)

Question 83392: write the equation of the line L satisfying the given geometric conditions.
L has y intercept (0,-3) and is parallel to the line with equation y=2/3x + 1
Click here to see answer by bucky(2189)

Question 83393: Write the equation of the line L satisfying the given geometric conditions,
L has y intercept (0,2)and is perpendicular to the line with equation 2x-3y=6
Click here to see answer by chitra(359)

Question 83511: The question is Translate the following staement into an algebraic equation. Let x represent thenumber 12 less than 5 times a number is 18.
A) 5x-12=18
B) 12-5x=18
C)(12-5)x=18
D) (5-12)x=18
Is this correct 5x-12=18
5x=30-12=18
Thanks for any help you can provide I do not know if the steps to slove is correct.
Click here to see answer by stanbon(57967)

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