Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

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Algebra: Expressions involving variables, substitution

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Question 99603: I need help!!
A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package contains 15 dozen roses and 17 dozen carnations for $327.00.
Let x = cost of one dozen roses
Let y = cost of one dozen carnations
a. Write a system of equations for this problem.
b. Which equation can be multiplied by a coefficient to create an opposite coefficient? What is that value?
c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations.
Click here to see answer by stanbon(26259)

Question 99599: Can someone help me with this?
At the high school band's annual spaghetti dinner, the members served 210 dinners and collected $935. The band leader did not designate which ticket was an adult or child dinner. You need to know that to prepare the correct amount of food and for future planning. Each adult dinner cost $6 and each child's dinner cost $3.50.
Let a = number of adult dinners
Let c = number of child dinners

1. Write two equations to represent the total amount raised from the dinner and the total.

Click here to see answer by stanbon(26259)

Question 99627: ok i dont no how to do this prob
write each expression using positive exponents. then evaluate the expression
2 to the negative power of 6
and i dnt no how to do the pwer thing on the ccomputer
Click here to see answer by Adam(63)

Question 99632: wut is 5 to the negativ 1st power and how do u do it
Click here to see answer by elima(1433)

Question 99761: Hi my name is Tim and I have a question with two equations.
Solve for p and q in the system of equations below.
6249p + 3751q = 26,249
3751p + 6249q = 23,751

Click here to see answer by stanbon(26259)

Question 99860: y + 2x = 5.......how to u solve this by transforming the equation
Click here to see answer by jim_thompson5910(13787)

Question 99881: hi I do not undrestand solving using substitution method for example
x=y-1 x=y+6 r=-3s
y=4-2x y=-2-x r=10-4s

Click here to see answer by checkley71(8405)

Question 99908: I have tried several times to answer this question and am getting hung up and frustrated. x divided by (yz) where x = 4, y = 2 5/6 and z = 5/6. thank you. Michael C
Click here to see answer by checkley71(8405)

Question 99941: At the high school band's annual spaghetti dinner, the members served 210 dinners and collected $935. The band leader did not designate which ticket was an adult or child dinner. You need to know that to prepare the correct amount of food and for future planning. Each adult dinner cost $6 and each child's dinner cost $3.50.
I understand the equations
6a+3x5c = 935
a+c= 210
How do I figure out how many dinners were adults and how many were children's?
Click here to see answer by checkley71(8405)

Question 99950: How does this work?
Choose the ordered pair that is a solution to the system of equations.
-3x + 2y = 10

-2x - y = -5
(-2, 5)
(2, -5)
(0, -5)
(0, 5)

Click here to see answer by checkley71(8405)

Question 99948: I need help!!
In the following system of linear equations, state how to combine the two equations to obtain one equation with only one variable.
5x - 4y = 6
2x + 3y = 2

Click here to see answer by fastblue(13)

Question 99945: I just don't understand this.
In the following system of linear equations, state how to combine the two equations to obtain one equation with only one variable.
2x - 7y = 6
x + 3y = 2

Click here to see answer by checkley71(8405)

Question 99921: You are running water into a laundry sink to get a mixture that is one-half hot water and one-half cold water. The hot water flows more slowly, at a rate of 7.8 liters per minute, so you turn it on first. Two minutes later, you also turn on the cold water which flows at a rate of 12.3 liters per minute. You want to know how long to wait before turning the two faucets off.
a. Let t represent the number of minutes the hot water is on. Write a variable expression for the amount of time the cold water is on.
b. Write an equation that models the situation. Then solve the equation.
c. Interpret your solution. If the solution is a decimal, decide what form of the number is most appropriate. Explain your choice
Click here to see answer by ankor@dixie-net.com(6691)

Question 99995: I need help finding the quotient and remainder for:
(x^3 + 6x^2 + 15x + 28) / x + 4
Click here to see answer by stanbon(26259)

Question 99827: 4*5x= i need to now if you are supposed to times the to number to gather
Click here to see answer by edjones(3291)

Question 100086: hi tutor can you please help me solve this problem like show me the steps and than its solution thank you.
xy-5y-2x+10=
Click here to see answer by checkley71(8405)

Question 100085: hi tutor can you please help me solve this problem like show me the steps and than its solution thank you.

t^2+4t-st-4s=
Click here to see answer by checkley71(8405)

Question 100138This question is from textbook Glenco Algebra I
: The Yankee Clipper leaves the pier at 9:00 AM at 8 knots. A half hour later, The River Rover leaves the same pier in the same direction traveling at 10 knots. At what time will The River Rover overtake The Yankee Clipper?
I'm not sure how to solve this when both time and distance are missing. Thanks.This question is from textbook Glenco Algebra I

Click here to see answer by checkley71(8405)

Question 100149: I'm having real difficulty with the equation:

Click here to see answer by stanbon(26259)

Question 100070: I don't understand
what is the solution to the system of equations.
-3x + 2y = 10
-2x - y = -5

Click here to see answer by checkley71(8405)

Question 100191This question is from textbook Algebra Structure and Method

: A discount store bought 12 dozen radios. Each to be sold at $15.00 above cost. The store sold X of the radios at that price. Each of the remaining radios was sold at $4.00 below cost. IF the store paid $11.00 for each radio, what was the total income from the sale?This question is from textbook Algebra Structure and Method

Click here to see answer by stanbon(26259)

Question 100197This question is from textbook middle grades math
: Please help show me where i am going wrong; On the two days before a swim meet, jesse swan a total of 2050 meters. The second day she swam 250 meeters more than the first day. How many meters did she swim on each day?
m+250=2050 m=1800
1800-250=500
500+250=750 1st day
2050-750=1600 2nd day
I know this to be wrong, book says 900 and 1150This question is from textbook middle grades math

Click here to see answer by stanbon(26259)

Question 100202This question is from textbook Algebra structure and Method

: Please help me confirm I am doing this correctly:
4(2(-5x+y)-y)-10(y-4X) with the outside set of parenthesis being bracketsThis question is from textbook Algebra structure and Method

Click here to see answer by oberobic(93)

Question 100205This question is from textbook Algebra structure and Method

: My last tough problem of the night is done but I would feel much better knowing I AM DOING THEM RIGHT SO I am checking 2 of them on this site (which is AWESOME!)
-50+(-2)(3(1-F)-3(-2+F)) simplify..thanks!This question is from textbook Algebra structure and Method

Click here to see answer by Nate(3495)

Question 100201This question is from textbook Algebra structure and Method

: Please help me confirm I am doing this correctly:
4(2(-5x+y)-y)-10(y-4X) with the outside set of parenthesis being bracketsThis question is from textbook Algebra structure and Method

Click here to see answer by stanbon(26259)

Question 100201This question is from textbook Algebra structure and Method

: Please help me confirm I am doing this correctly:
4(2(-5x+y)-y)-10(y-4X) with the outside set of parenthesis being bracketsThis question is from textbook Algebra structure and Method

Click here to see answer by edjones(3291)

Question 100221: I usually mess up on the signs of a variable expression problem. please help me solve
Click here to see answer by live2ride2fast(2)

Question 100320: can you please show me the steps on soloving this problem and its solution thank you!
x^2+24x+63=
Click here to see answer by checkley71(8405)

Question 100318: can you please show me the steps on soloving this problem and its solution thank you!
x^2-20x+75=
Click here to see answer by checkley71(8405)

Question 100329: I am not sure how to do this.
There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets?
Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased.
a. Write a system of equations that can be used to determine the number of adult and student tickets purchased.
b. Determine the number of adults tickets sold and the number of student tickets sold. Use mathematics to explain how you determined your answer.

Click here to see answer by checkley71(8405)

Question 100398This question is from textbook IDK

: In My work, I have fractions (Negatives&&Positives) multiplied by a variable. Then it equals a number. Here's one problem:
7/2a=35
Here's another:
x-9/10x=7
Please Help. (LOL) I Absolutely don't get this. This question is from textbook IDK

Click here to see answer by jim_thompson5910(13787)

Question 100411: Please help me solve this problem if a rectangle has length x+3 and width x-7. Find the area of the rectangle in terms of x.
Click here to see answer by jim_thompson5910(13787)

Question 100426: the sum of three consecutive integers is equal to 9 less than 4 times the least of the integers. Find the three integers.
Click here to see answer by elima(1433)

Question 100656: MULTIPLY (-5/13)(13)
Click here to see answer by stanbon(26259)

Question 100657: WHAT ARE ALL THE FACTORS OF 45?
Click here to see answer by checkley71(8405)

Question 100659: SUBTRACT: 5/4 -13/8
Click here to see answer by stanbon(26259)

Question 100662: USE THE PROPERTIES OF ADDITION AND MULTIPLICATION TO COMPLETE THE STATEMENT. (3+0) + 10 = 3 + ( BLANK + 10)
Click here to see answer by stanbon(26259)

Question 100664: (X-5) TO THE SECOND POWER (X-1) WHEN X = 3. evaluate each expression
Click here to see answer by stanbon(26259)

Question 100655: 8 AND 1/6 DIVIDED BY 2 AND 1/3
Click here to see answer by edjones(3291)

Question 100680This question is from textbook intergrated mathematics
: a suit cost $150 .represent the cost of n suitThis question is from textbook intergrated mathematics

Click here to see answer by checkley71(8405)

Question 100652: WRITE THE FOLLOWING PHRASE USING SYMBOLS. USE THE VARIABLE X TO REPRESENT THE NUMBER. A NUMBER DECREASED BY 1
Click here to see answer by tutorcecilia(2042)

Question 100629: 8x=34-4x
Click here to see answer by checkley71(8405)

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