Questions on Algebra: Equations answered by real tutors!

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Question 92612: The kinetic energy of a particle of mass m is found by taking
one-half of the product of the mass (m) and the square of the velocity (v). Write an expression for the kinetic energy of a particle.

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Question 92611: It is estimated that the Earth is losing 4000 species of
plants and animals every year. If S represents the number of species living last
year, how many species are on Earth this year?

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Question 92610: The quotient when 3 more than a number is divided by 3 less than that same
number

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Question 92623: I am trying to simplify this problem, I am assuming the denominator cannot equal zero.
(5/x)-(3/(x+5))

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Question 92672: Hi! My name is Gabby and here's my question: Solve: 15+%2B+x+-+2x%5E2+=+0
I tried to solve this here's what i did: -2x%5E2%2Bx%2B15=0
-%282x%5E2-x-15%29=0
-%282x%2B5%29%28x-3%29=0
I got stuck here, i'm not sure what to do next or if i did it right? help please:) Thanks!

Click here to see answer by checkley75(3666) About Me 

Question 92675: Hi! Here's my question: Solve: 6=3x%5E2
Here's what i did: 6=3x%5E2
2=x%5E2
x=sqrt%282%29
but i'm not sure if it should be %2Bsqrt%282%29and+-sqrt%282%29 ??? Is it?

Click here to see answer by jim_thompson5910(28598) About Me 

Question 92682: Here's my question: Solve: %28x%2B4%29%5E2=18
Here's what i did: %28x%2B4%29%28x%2B4%29=18
x%5E2%2B8x%2B16=18
x%5E2%2B8x-2=0
I can't factor that so i'm stuck what do i do?

Click here to see answer by Nate(3500) About Me 

Question 92688: A 2 digit number is 3 more than 7 times the sum of its digits. If the digits are interchange, the new number is 4 more than 5 times the tens digit of the original number.What's the original number?
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Question 92703: solve the equation w+(3)=9
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Question 92708: Here's my question: Solve: |x-5|=10
I'm not sure what to do because i'm not sure what the opposite of absolute value is? help please:)

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Question 92711: A 2 digit numberis 6 less than 4 times the sum of its digits. If digits are interchange, the new number is 5 less than 8 times the sum of its digits. What's the original number?
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Question 92635: I am trying to solve the equation: (1/(x-3))+(1/(x+3))=(10/(x^2-9))
Thanks in advance.

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Question 92712: Here's my question: Solve the inequality: 9x-8<=7x+16
I'm not sure if i can just solve it or if i have to make some kinfd of chart thing i remember doing in algebra class?

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Question 92754: %28x%2B5%29%2F6+-%28%2814-x%29%2F2+-+1%2F4%29=2x-7
Click here to see answer by Edwin McCravy(8909) About Me 

Question 92800: My car gets 27 miles to the gallon. If gasoline costs $3.23 per gallon, how far can I drive on $45.00 worth of gas?
I divided 3.23 by 45 getting 13.93. Then Multiplied 1.93 by 27 getting 378 miles as my final answer? Is this correct and did I solve it properly?
Thank you!!!!

Click here to see answer by bucky(2189) About Me 

Question 92811: X=80,000 Problem is 2,400,000/x-105

Question? How to ge rid of x-105 without multiplying both sides by 1/x-105. I would appreciate any assistance. Thanks.

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Question 92827: FIND AN X AND A Y THAT MAKS TIS EXPRESSION TRUE Y=4X-3
Click here to see answer by Earlsdon(6287) About Me 

Question 92842: WHAT IS THE VALUE OF 9+6 (6+4) DIVIDED BY 5

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Question 92846: add 1 1/2 inches and 26.2 centimeters, and express the result in feet.
I have multiplied (.39)(26.2)=10.22 inches
add 10.22+1.5 =11.72
This doesnt even make a foot? What did I do wrong? Please help. I really want to understand what to do and if I did any part of this correctly.
Thank you so much in advance!
Ann

Click here to see answer by checkley75(3666) About Me 

Question 92899: Write the equation of the line passing through(-3,-5) and (3,0).
Click here to see answer by jim_thompson5910(28598) About Me 

Question 92844: I really need help on this problem. I haven't taken algebra in years so im a little rusty.
Q: What is the remainder when x^3+5x^2-6x+10 is divided by x+3?
The book says that the answer is 46 but i'm not sure how to get that.
Thanks alot.

Click here to see answer by scott8148(6628) About Me 

Question 92900: Which of the ordered pairs (3,1), (0,-4), (-4,0), (-3,-7) are solutions for the equation x-y=4?
Click here to see answer by chitra(359) About Me 

Question 92901: Write the following phrase using symbols. Use the variable x to represent the number. Eight less than three times a number
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Question 92966: Rewrite the equation –7x + 8y = –40 as a function of x.
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Question 92968: Solve. –3(x + 2) + 4x = 5x + 18
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Question 92968: Solve. –3(x + 2) + 4x = 5x + 18
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Question 92963: Which of the ordered pairs
(0, 0), (–2, 10), (–1, –5), (–3, 9)
are solutions for the equation y = 5x?

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Question 92994: Solve: 2x(x+3)= x + 25
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Question 92989: Please help me solve 1/2p=1/3
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Question 93016: Please help solve
z=4/3(pi)r^3 find (pi)

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Question 93024: If X-3 is a factor of X^4-3X^3+KX+3, what is the value of K?
Click here to see answer by Edwin McCravy(8909) About Me 

Question 93105: Choose the one alternative that best completes the statement or answers the question.
Solve by completing the square.
x^2 - 6x - 40 = 0
a) 10, -4 b) -10, 4 c)(-36, -4 d) square root of -40, negative square root of -40
I think the answer is d after I plugged in all the options, but I don't know how to prove it. When I try to use completing the square I get up to this point, 6 plus or minus the square root of 160 over 2 and I can't go any further. Thanks so much!!

Click here to see answer by stanbon(57387) About Me 
Question 93105: Choose the one alternative that best completes the statement or answers the question.
Solve by completing the square.
x^2 - 6x - 40 = 0
a) 10, -4 b) -10, 4 c)(-36, -4 d) square root of -40, negative square root of -40
I think the answer is d after I plugged in all the options, but I don't know how to prove it. When I try to use completing the square I get up to this point, 6 plus or minus the square root of 160 over 2 and I can't go any further. Thanks so much!!

Click here to see answer by tutorcecilia(2152) About Me 
Question 93105: Choose the one alternative that best completes the statement or answers the question.
Solve by completing the square.
x^2 - 6x - 40 = 0
a) 10, -4 b) -10, 4 c)(-36, -4 d) square root of -40, negative square root of -40
I think the answer is d after I plugged in all the options, but I don't know how to prove it. When I try to use completing the square I get up to this point, 6 plus or minus the square root of 160 over 2 and I can't go any further. Thanks so much!!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 93119: The length of a rectanble is three inches more than the width. The area of the rectangle is 180 inches. Find the width of the rectangle.
I know that the length is x + 3
and the width is x
so the equation must be x(x + 3) = 180, but I don't know where I keep messing up when I go to solve it. Thanks so much for your help!!

Click here to see answer by Nate(3500) About Me 

Question 93118: Find a general form equation for the line through the pair of points.
(1,4) and (8,-2)
I know I am supposed to use the equation Ax + By = C, but I don't know how to plug in for A, B, and C. Please help!! Thanks so much!!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 93120: Simplify:
(3x + 4 / x + 6) - (2x / x + 1)
I worked this problem out until I got the answer (-5x + 4) / (7x - 6), but I'm not sure if it's correct or not. Thanks so much!!

Click here to see answer by stanbon(57387) About Me 

Question 93015: Please help me solve this problem
m=x+3y/2 find y

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Question 92990: x^3 - 4x^2 - 21x = 0
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Question 92998: Simplify:
(16-x^2) / (x^3-2x^2-8x)

Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 93190: Can someone please help me solve this word problem. I am not able to come up with an inequality.
You have at least $30.00 in change that are dimes and quarters. Write an inequality that shows the different numbers of coins.
Thank you.

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Question 93200: I am confused with this problem. Can someone help?
f(x)=5x-1
Find the followinf for f(a-2.
Thanks.

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Question 93197: I am having trouble. Can someone please help?
f(x)=4x-3
f(-1)
Thank you.

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Question 93199: Can someone help solve this word problem?
P(x)=2.25x-7,000
a.)What is profit if 2,000 units are sold.
b.)What is profit if 5,000 units are sold.
c.)What is the break even points for sale?
Thank you.

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Question 93219: I need help in solving this equation
3(2w+1)-2(w-2)=5
My solution is incorrect
6w+3 - 2w-4=5
4w-1 =5

Click here to see answer by jim_thompson5910(28598) About Me 

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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