Questions on Algebra: Systems of equations that are not linear answered by real tutors!

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Question 1101516: Kent drives 270 miles in the same time that it takes Dave to drive 250 miles. If Kent averages 4 miles per hour faster than Dave, find their rates.
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Question 1101709: My question asks, “Part of a parabola and part of a line are shown on the coordinate plane below. Will they ever intersect? Support your solve solution with mathematics.”
I know that they will intersect, but how do I support it with mathematics? The solutions that I get involve imaginary numbers, so I need help.
The equations are the following:
y=10x-3
y=(x^2)+15x+55.5
Thank you!

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Question 1101869: Use the Pythagorean theorem to find the missing side.
c=17, b=2​a; find a and b

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Question 1101977: 3. The sum of the digits of a two-digit number is 13. If the unit's digit is 5 more than the ten's digit, determine the number.
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Question 1102764: describe what kind of system of equations the following is:
y = -2x + 3
y = x - 3

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Question 1103545: A metallurgist has one alloy containing 22% copper and another containing 53% copper. How many pounds of each alloy must he use to make 51 pounds of a third alloy containing 30% copper?
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Question 1103798: 11x +8 -5x is less than or equal to 12
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Question 1104039: Perpendicular to -2x+3y=7 and y-intercept of 3 in standard form
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Question 1104740: Anna made a model of her gym member ship:y=15x+50. If x=amount of months and y=total cost of the membership, what is the cost of her membership each month and what is the cost of her membership after 3 months

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Question 1105020: a farmhouse shelters 10 animals. some are pigs and some are ducks. altogether there are 36 legs. how many of each animal are there?
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Question 1105254: 1. the perimeter of a square garden is 40m. what is the length of the garden?
2. the difference between two numbers is 25. the first number is twice as big as the second number. what are the two numbers?

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Question 1105648: if 12x+13y=29 and 13x+12y=21,then find x-y
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Question 1106112: solve nonlinear equation by using substraction and addition method.
1) {x+2y=0 (x-1)^2 + (y-1)^2=5

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Question 1107428: Trying to determine how to write the equations and solve the following: The sum of two numbers is 33. The sum of 7 times the first number and 5 times the second number is 197. Write a system and solve to find the two numbers. We have tried 7x+5y=197, but we find that it cannot be solved in that manner.
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Question 1107609: Solve this system by Substitution.
y = x^2 - 8 and 2x + y = 6

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Question 1107609: Solve this system by Substitution.
y = x^2 - 8 and 2x + y = 6

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Question 1107626: Solve simultaneously
3x-2y=2
x˛-3xy+xy˛=129

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Question 1108009: The five-digit number 9abc2 is divisible by 11, where a,b,and c are different one-digit whole numbers. How many combinations of digits are possible values of a,b,and c?
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Question 1108009: The five-digit number 9abc2 is divisible by 11, where a,b,and c are different one-digit whole numbers. How many combinations of digits are possible values of a,b,and c?
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Question 1108048: A pump can fill an oil tank in 18 hours. Beginning with an empty tank, the pump and a second pump fill three-fifths of the tank in 6 hours. If the first pump is then shut off, how long will it take the second pump to finish filling the tank?
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Question 1108194: Please help me solve this equation using substitution
-3x-8y=20
-5x+y=19

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Question 1108259: The perimeter of a right triangle is 144 cm. The base is 12 cm. less than the width. Find the area.
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Question 1108259: The perimeter of a right triangle is 144 cm. The base is 12 cm. less than the width. Find the area.
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Question 1108272: The perimeter of a right triangle is 144 cm. The base is 12 cm. less than the adjacent. Find the area.
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Question 1108272: The perimeter of a right triangle is 144 cm. The base is 12 cm. less than the adjacent. Find the area.
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Question 1108276: The museum charges different admission prices for adults and kids. Admission to the museum for 28 kids and 5 adults cost $284. Admission for 40 kids and 10 adults costs $440. What is the admission for one kid to the museum?
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Question 1109593: Amy's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 10 senior citizen tickets and 1 student ticket for a total of $54. The school took in $74 on the second day by selling 1 senior citizen ticket and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
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Question 1109593: Amy's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 10 senior citizen tickets and 1 student ticket for a total of $54. The school took in $74 on the second day by selling 1 senior citizen ticket and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
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Question 1109604: 2x-4y=10
2y+6=x

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Question 1109844: X^2/3+x^1/3-2=0
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Question 1110388: Solve for x and y, given:
25^x = 125 * 5^y
(4^x) * (8^-y)=1

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Question 1110394: Solve simultaneously,
9x^2 + y^2 = 5, xy = 8

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Question 1110484: Please help, thank you.
Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95˘​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 27 cups of​ coffee, using 424 ounces of​ coffee, while collecting a total of ​$34.00. How many cups of each size did Kyle​ fill? Kyle filled
​__10-oz cup(s),
​__14-oz cup(s), and
​__20-oz cup(s)

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Question 1110516: Let K be a real number. Consider the following system of equations:
x - y + 3z = -8
2x + 3y - z = 5
3x + 2y + 2kz = -3k
A) for which values of K will the system have infinitely many solutions?
B)For which values of K will the system have exactly one solution?
C) For which values of K will the system have no solution?

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Question 1111823: What is the length and the width whose perimeter is 640
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Question 1112154: Solve the equations sqrt%284x%5E2-4x%2B1%29=2x-1+
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Question 1112157: Solve the equations
sqrt+%2825-10x%2Bx%5E2%29=x-5

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Question 1112556: A contractor undertook to build a road in 200 days he employed 140 men after 60 days he found that only one fourth of the road could be built
how many additional Men should be employed to complete the work in time

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Question 1112556: A contractor undertook to build a road in 200 days he employed 140 men after 60 days he found that only one fourth of the road could be built
how many additional Men should be employed to complete the work in time

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Question 1112556: A contractor undertook to build a road in 200 days he employed 140 men after 60 days he found that only one fourth of the road could be built
how many additional Men should be employed to complete the work in time

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Question 1112556: A contractor undertook to build a road in 200 days he employed 140 men after 60 days he found that only one fourth of the road could be built
how many additional Men should be employed to complete the work in time

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Question 1112557: Sanjeev scored 90% marks in mathematics, 85% Science, 80% Social Studies, and 75% Language.
If the maximum marks in mathematics is 200, science 150, Social Studies 150, and language 100, find the everybody at every great percentage if he wants to improve his aggregate percentage by 20% through language alone find the score required language

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Question 1112925: A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how much of each kind of coin are there?
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Question 1112925: A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how much of each kind of coin are there?
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Question 1112925: A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how much of each kind of coin are there?
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