Tutors Answer Your Questions about Equations (FREE)
Question 854601: How do I solve this using the elimination method (linear combinations method).
Elimination Method Example:
Equation 1: 2x-y=4
Equation 2: 2x+5y=16
x will be eliminated
This is the answer I got…
equation 2 – equation 1
2x+5y=16
-) 2x-y=4
6y=12
y=12
Substitute y=2 in equation1
2x-y=4
2x-2=4
2x=6
x=3
Answer: x=3, y=2 or (3, 2)
Am I right or wrong… explain.
Click here to see answer by Alan3354(69443)   |
Question 854657: I have previously asked this question, question #853406, but didn't really get help.
Find all real solutions to the equation.
t^-3/2=64
The answer that I was given was 1/16, however, I don't know how they got this answer. Can someone please help in showing or explaining the work on how to get to this conclusion?
Thank you in advance for the help.
Click here to see answer by josgarithmetic(39617) |
Question 854657: I have previously asked this question, question #853406, but didn't really get help.
Find all real solutions to the equation.
t^-3/2=64
The answer that I was given was 1/16, however, I don't know how they got this answer. Can someone please help in showing or explaining the work on how to get to this conclusion?
Thank you in advance for the help.
Click here to see answer by MathTherapy(10552)  |
Question 855265: I have having a problem trying to figure out a new equation for my problem. Here is the set up.
A father is looking for the best option for daycare for his 5 year old son. A home-based option (Option A) charges a flat rate per hour of $15. A center-based option (option B) charges a fixed fee per week of $150 for 40 hours and $10 an hour for any hour over the 40. What is the best option for the father?
The father works 50 hours a week from his office which is located in his home. Both childcare options are equal distance from his house so the driving expenses don’t need to be considered. Both child care options offer a two week vacation time without having to pay child care but still hold the child’s spot in the daycare. This works well with the father who also gets two weeks of vacation time a year.
Here are my two equations.
Option A: (A)y = 15x
Option B1: (B1)y= 150 + 10 (x-40) – day care with 50 hour child care week
But my paper got sent back saying I need to come up with an additional equation for Option B that represents less than 40 hours of daycare is needed to complete the assessment. I am not sure how to set this up. I came up with this.
y=150+10(x-40), x≥40 hours
Is that right??? If so how do prove when the two equations will be equal.
15x=150+10(x-40), x≥40 hours????
Click here to see answer by richwmiller(17219)  |
Question 855281: I need help with an algebra equation. Here is the set up.
A father is looking for the best option for daycare for his 5 year old son. A home-based option (Option A) charges a flat rate per hour of $15. A center-based option (option B) charges a fixed fee per week of $150 for 40 hours and $10 an hour for any hour over the 40. What is the best option for the father? The father works 50 hours a week from his office which is located in his home.
x = number of hours
y = total child care cost
Option A: (A)y = 15x
Option B1: (B1)y= 150 + 10 (x-40)
My paper got sent back because it said I need an additional equation for Option B that represents less than 40 hours of daycare is needed to complete the assessment.
This is what I came up with.
Option B2: (B2)y=150+10x, x≥40 hours – day care with less than 40
Is this right?????? But I am not sure how to solve this.
If that is right I need to show when option A and option B2 will be equal. How do I do that? I also need to be able to graph it so I will need an ordered pair.
Update: I already submitted my paper fixing option A instead of B showing that equation with less than 50 hours a week (less than 40 y=15*30=450) and it got send back for the same reason I will need an additional equation for Option B that represents less than 40 hours of daycare needed to complete the assessment.
Thank you for any help anyone can give and PLEASE don't answer if you really aren't going to help me. I am stuck and need help.
Click here to see answer by Fombitz(32388)  |
Question 854535: Elimination Method Example:
Equation 1: 2x-y=4
Equation 2: 2x+5y=16
x will be eliminated
equation 2 – equation 1
2x+5y=16
-) 2x-y=4
6y=12
y=12
Substitute y=2 in equation1
2x-y=4
2x-2=4
2x=6
x=3
Answer: x=3, y=2 or (3, 2)
My teacher says:
In order for elimination to work you must have a term that has the same number, variable and opposite signs. You eliminated x by using subtraction, however, in order to use subtraction you must distribute the (-) through the entire problem. How would you fix this in your example? Give the steps involved in fixing your elimination example.
Click here to see answer by Fombitz(32388) |
Question 856061: An investor has $5000 to invest and decides to invest some of it with company A and the rest with company B. After one year each $1 invested with company A has grown to $1.20, each dollar invested with company B has grown to $1.05 and the $5000 has grown to $5670. How much of the original $5000 was invested with each company?
Click here to see answer by ramkikk66(644) |
Question 856060: A book shop owner orders some hard-back and some soft-back versions of a book costing the shop owner $20 and $12 respectively. The total order was for 300 books.
When the order arrives there were only 200 books. The shopkeeper wishes to query the order but cannot find his copy of the original order. However, his records do tell him that it was going to cost him $5080. How many of each type of the book was his original order for?
Click here to see answer by mananth(16946)  |
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