Tutors Answer Your Questions about Equations (FREE)
Question 54697: The diameter of Earth is about twice that of Mars. The diameter of Mars is about three times that of Pluto. Together, the sum of the diameters of Earth, Mars, and Pluto is about 30,000 kilometers less than the diameter of Uranus. If the diameter of Uranus is about 52,000 kilometers, what equation would be used to find the approximate diameter of Pluto? Let d = diameter of Pluto.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 54901: I need help on the following problem:
The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?
I have no clue as to how to set up this equation. Please help!
thanks!
Click here to see answer by checkley71(8403) |
Question 54959: Can someone help me solve this problem?
I need to find two solutions for the following equation:
When x number of units are sold, the price of each unit (in dollars) is given by p = -x/2 + 75. I need to find the unit price when the following quantities are sold: 9 and 11.
Thanks,
Sher
Click here to see answer by stanbon(75887) |
Question 55038: Two records and three tapes cost $31. Three records and two tapes cost $29. Find the cost of each record and each tape
Let's call x the cost of records and y the cost of tapes. As a side note, who really cares? Don't we all buy CDs if not MP3s now?
Anyway, the first sentance in math-speak says:
2x + 3y = 31
And the second says
3x + 2y = 29
There are a few basic ways to tackle this problem:
a) Addition method
b) Substitution method
c) Matrix method.
d) Graph method
I think I'm a fan of the substitution.
we'll take the first equation and solve for x
2x + 3y = 31
Subtracting 3y from both sides gives
2x = -3y + 31
And divide by two.
x = -3/2y + 31/2
Ok...now we take the second equation
3x + 2y = 29
and substitute x = -3/2y +31/2 in for x
3(-3/2y +31/2) +2y = 29
Now, we'll simplify the whole mess.
-9/2y + 93/2 + 2y = 29
Combine like terms
-5/2y + 93/2 = 29
Moving the 93/2 to the right side yields
-5/2y = 58/2 - 93/2
-5/2y = -35/2
dividing by -5/2 gives
y = -35/2(-2/5)
y = 7
Ok...y = 7! Let's sub that into one of our original equations and solve for x.
2x + 3(7)=31
2x + 21 = 31
2x = 10
x=5
We've got x=5 and y = 7. Lets check our answers with the second equation just to make sure we've got it.
3(5) + 2(7) = 29
15+14=29
29=29
Yep..we did it right!
Records are $5 and Tapes are $7
Click here to see answer by Hook(36) |
Question 54802: Can someone help me on this problem?
The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
Thanks, Ashley
Click here to see answer by Cintchr(481) |
Question 54815: HELP!!!!!!!!!!!!!!!!!!!! My boyfriend says that if I solve for P that I will know in the number of weeks when he will propose!
p2 + 3P + 2 = 3/2 + 3p -3
___________
p + 1
ALso, he said the answer is not 1 or 1.75 or 7/4???
Click here to see answer by Hook(36) |
Question 55133: I am stuck on correct answer for:
7x + 4 is less than or equal to 5x - 2 is equivalent to:
I believe answer is "x is less than or equal to 3" but I need to verify my work. Can you show me the breakdown to get correct resolve?
Click here to see answer by Hook(36) |
Question 55254: Can someone help me on this problem?
I need to find 2 solutions for the following equation:
When x number of units are sold, the price of each unit (in dollars) is given by p = -x/2 + 75. I need to find the unit price when the following quantities are sold: 2, 7
Thanks,
Sher
Click here to see answer by funmath(2933) |
Question 55354: I can not get this question on my homework, I can, but I can not get it in steps! Question:
2(x+4)=16
39).The number of time a cricket chirps in a minute is a function of the temperature in the formula: n=4t-160, where n=number of times a cricket chirps a minute and t=temperature in farenheit.
You can use the temperature t=(1/4)n+40 to estimate the temperature based on the number of chirps per minute.
a) At 60 degrees, how many times does a cricket chirp a minute.
b) What is the temperature when the number of times a cricket chirps per minute is 150.
c) At what temperature does a cricket stop chirping?
d) Graph the equation of the line with the number of chirps as the x-axis, what does the y-intercept represent?
Thank you for your help!
Alex
Click here to see answer by funmath(2933) |
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