Tutors Answer Your Questions about Equations (FREE)
Question 148755: What is the way to solve a basic equation? There are lots of steps, and I dont get them.
for example, what are the steps to solving the following equation:
2x + -10 = 10 + -3x
And can you explain the "why" in every step?
Click here to see answer by nerdybill(7384)   |
Question 148886: My apologies if I did not type this correctly. I am not a maths student so am unfamiliar with the correct "style". To be clear x -6 / 4 is the denominator of the whole fraction x + 2 is the numerator.
x+2
------ = 3
x-6
-----
4
Answer:
x+2 = 3(x-6)
-----
4
x + 2 = 3x/4 - 9/2
x/4 = 13/2
x = -26
The answer is from the back of the book but I fail to understand how to get from
x + 2 = 3x/4 - 9/2
to
x/4 = 13/2
I need to understand the rule that governs this?
regards,
Tres.
Click here to see answer by nerdybill(7384) |
Question 148886: My apologies if I did not type this correctly. I am not a maths student so am unfamiliar with the correct "style". To be clear x -6 / 4 is the denominator of the whole fraction x + 2 is the numerator.
x+2
------ = 3
x-6
-----
4
Answer:
x+2 = 3(x-6)
-----
4
x + 2 = 3x/4 - 9/2
x/4 = 13/2
x = -26
The answer is from the back of the book but I fail to understand how to get from
x + 2 = 3x/4 - 9/2
to
x/4 = 13/2
I need to understand the rule that governs this?
regards,
Tres.
Click here to see answer by HyperBrain(694) |
Question 149055: Hi. I'm an adult musician who sometimes uses mathy stuff to generate musical structures. I took algebra a long, long time ago and have forgotten most of it. A few years ago I stumbled upon this idea: for any odd number, the sum of the integers below that number is divisible by the odd number. For example, if I take 3, the sum of the integers below 3 -- 1 + 2 = 3, which is divisible by 3. Or 5: 1+2+3+4 = 10, which is divisible by 5. I got a friend to help me with an equation that would help me figure out the sum, so if I choose a number like 83, I don't have to spend 5 minutes punching 1+2+3 and so on to figure out the sum. That equation was x(x-1)/2 = the sum of the integers below x, when x is an odd number.
Now, for the first time I'm trying to run this backwards and I can't remember how to solve for it. In other words, let's call "the sum of the integers below x," y. I know what y is, but I can't figure out x. For example, I've got 368 beats that I want to group in these different cycles. So I know that x(x-1)/2 = 368. I cross multiply the denominator and I get x(x-1) = 736. Then I multiply the x through and I get x^2 - x = 736. And then I'm stuck and don't know what to do to solve for x. I'm sure I'm doing something wrong or have forgotten some important step, because it's been forever since I've had to think about this stuff. Your help would be greatly appreciated.
cheers,
Andrea
Click here to see answer by mangopeeler07(462) |
Question 149055: Hi. I'm an adult musician who sometimes uses mathy stuff to generate musical structures. I took algebra a long, long time ago and have forgotten most of it. A few years ago I stumbled upon this idea: for any odd number, the sum of the integers below that number is divisible by the odd number. For example, if I take 3, the sum of the integers below 3 -- 1 + 2 = 3, which is divisible by 3. Or 5: 1+2+3+4 = 10, which is divisible by 5. I got a friend to help me with an equation that would help me figure out the sum, so if I choose a number like 83, I don't have to spend 5 minutes punching 1+2+3 and so on to figure out the sum. That equation was x(x-1)/2 = the sum of the integers below x, when x is an odd number.
Now, for the first time I'm trying to run this backwards and I can't remember how to solve for it. In other words, let's call "the sum of the integers below x," y. I know what y is, but I can't figure out x. For example, I've got 368 beats that I want to group in these different cycles. So I know that x(x-1)/2 = 368. I cross multiply the denominator and I get x(x-1) = 736. Then I multiply the x through and I get x^2 - x = 736. And then I'm stuck and don't know what to do to solve for x. I'm sure I'm doing something wrong or have forgotten some important step, because it's been forever since I've had to think about this stuff. Your help would be greatly appreciated.
cheers,
Andrea
Click here to see answer by jim_thompson5910(35256) |
Question 149181: 1.)solve 3x+4y=8 for y
A.When graphed this equation would be a line. by examonong your answer to question 1, what is the slope and y-interceptof this line?
B.Using your answer from question 1, find the corresponding value of y when x=8.
2.)-2x-4<10
Click here to see answer by vleith(2983) |
Question 149159: This is my assignment:
Mathematicians have been searching for a formula that yields prime numbers. One such formula is x^2-x+41. Select some numbers for x, substitute them in the formula and see if prime numbers occur. Try to fnd a number for x that when substituted in the formula yields a composite number.
Please help. Thanks!
Click here to see answer by oscargut(2103)  |
Question 149177: Two different stocks were purchased for $18,025. The first stock was priced at$45.50 per share and the second stock was priced at $19.75 per share. A total of 500 stocks were purchased. How many shares were purchased at $45.50?
1st stock 2nd stock
price 45.50 19.75
Thats what I have so far, Can you help please.
Click here to see answer by stanbon(75887) |
Question 149339: I have three different problems that I need help on.
The functions f (x) and g(x) = 3x - 2 and g (x) = 2x2. Compute the difference.
If I=PRT and A=P+I, then A =_________.
In two dimensions, the determinant of an ordered group of numbers a, b, c, and d is defined as: ad - bc. Compute the determinant when a, b, c, and d equal 3, -2, 9 and 4 respectively.
Click here to see answer by edjones(8007)  |
Question 149579: In order to achieve maximum results from aerobic exercise, one should maintain ones heart rate at a certain level A 25 year old woman with a resting heart rate of 70 beats per minute while exercising She checks her pulse for 10 seconds while exercising. What should the number of beats be?
The number of beats in 10 seconds should be between ____ and ____ Beats.
Click here to see answer by Fombitz(32388)  |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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