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What is the "x" for 0.8=400x; the answer .002 doesn't feel right

what is 0.8=400x, my brain is focused on concepts. Is it 0.2%? The actual problem is: "Material delays have routinely limited production of household sinks to 400 units per day. If the plant efficiency is 80%, what is the effective capacity?"

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Suggested Questions And Answer :


is there another way to work out? i know the answer is x=-4. can you -2 both sides? output 3x+4=2x

yes you can do -2x on both sides it doesnt matter if you -2 to both sides itwould look like this (note you have to subtract 2x not just 2) x+4 = 0 now you have to subtract 4 from both sides to get x by itself x = -4 think of it this way long as you get the variable on one side and the number on the other side it doesnt matter if the variable is on the left or the right the answer will always be the same
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CE・CF:F is right angle, OK. But,

You're right! I made a few errors and assumptions, which I hope I've corrected. Please see my amended solution to your original question. I hope I got it right this time! Sincere apologies for the errors and confusion. Feel free to leave a comment on whether you think the answer's correct or not.
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what is the answer to: 5 + 5 + 5 - 5 + 5 + 5 - 5 + 5 x 0 =

Order of operation says ( exponents first  then multiply/diide then add/subtract_ )  so first you do the multiplication 5x0=0 5+5+5-5+5+5-5+0 since now its all add/subtract the order doesnt matter according to order of operations you add/subtract from left to right the answer is 15
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In triangle ABC, AB=BC if AB=5x+20 BC=3x+50 and AC=2x+30

AB=BC 5x+20 =3x+50 5x-3x=50-20 2x=30 x=15 AB=5x+20 =5*15+20=75+20=95 BC=3x+50 =3*15+50=45+50=95 AC=2x+30=2*15+30=30+30=60 x=15
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Jennifer has 3 liters of a mixture containing 70% of boric acid. How much water must be added to make the mixture 35% borix acid?

Let b=the volume of "neat" boric acid in litres. We can write b/(b+3)=7/10 because we added 3 l of water to make a 70% solution (70%=7/10). To find b, cross-multiply to get rid of the fractions: 10b=7b+21, so 3b=21 and b=7 l. What we want know now is how many litres do we have to add to get a 35% solution? Let's call this volume of water v. So b/(b+v)=35/100=7/20. We know b=7, so we can write 7/(7+v)=7/20. Cross-multiply: 140=49+7v. Divide through by 7: 20=7+v, so v=13 l. It appears then we need 13 litres of water to make a 35% solution of boric acid, that's 10 more litres to add to the 3 litres already added, not the 3 l you were expecting. The only way I can see how the answer might be 6 l (3 l added), is by using proportionality: it takes 3 l of water to make a 70% solution, so to make a 35% solution (half the 70%) we need twice as much water, 6 l, which is an added 3 l. Somehow, though, I don't feel that proportionality is the right approach. I look at this way: instead of 7 litres of pure boric acid, we have 7 red balls. We add 3 balls of water making 10 balls altogether, 7 of which are red. That's 70% red balls. We now add another 10 white balls of water making 20 balls altogether, 7 of which are red. 7 out of 20 is 35%, representing 35% boric acid solution. Which solution do you think makes the most sense? Discuss with teacher?
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What is the "x" for 0.8=400x; the answer .002 doesn't feel right

Yes, is 0.8 = 400x, then x = 0.002.  However. . . . I think the question should be "80% of what number is 400?" "%" means /100 "of" means * "what number" means x "is" means = 80/100 * x = 400 x = 400 * 100 / 80 x = 500 If the plant was operating at 100% capacity, production would be 500 sinks per day.
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how to right 140,0000,2008 in words

yer spozed tu put kommas after 3 digits not 4 or wotever yu feel like me assume that stuf shood be 14,000,002,008 bekum 14 bilyun, 2 thousund & ate
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What is the diameter of a spiral coil of .65265 inch diameter pipe 100 feet long?

The equation of a spiral in polar coordinates has the general form r=A+Bø, where A is the starting radius of the spiral and B is a factor governing the growth of the spiral outwards. For example, if B=0, there is no outward growth and we just have a circle of radius A. A horizontal line length A represents the initial r, and the angle ø is the angle between r and this horizontal line. So r increases in length as ø increases (this angle is measured in radians where 2(pi) radians = 360 degrees, so 1 radian is 180/(pi)=57.3 degrees approximately.) If B=1/2 and A=5", for example, the minimum radius would be 5" when ø=0. When ø=2(pi) (360 degrees), r=5+(pi), or about 8.14". This angle would bring r back to the horizontal position, but it would be 8.14" instead of the initial 5". At ø=720 degrees, the horizontal line would increase by a further 3.14". Everywhere on the spiral the spiral arms would be 3.14" apart. What would B be if the spiral arms were 0.65625" apart? 2(pi)B=0.65625, so B=0.65625/(2(pi))=0.10445". The equation of the spiral is r=5+0.10445ø. To calculate the length of the spiral we have two possible ways: an approximate value based on the similarity between concentric circles and a spiral; or an accurate value obtainable through calculus. The approximate way is to add together the circumferences of the concentric circles: L=2(pi)(5+(5+0.65625)+...+(5+0.65625N)) where L=spiral length and N is the number of turns. L=2(pi)(5N+0.65625S) where S=0+1+2+3+...+(N-1)=N(N-1)/2. This formula arises from the fact that the first and last terms (0, N-1) the second and penultimate terms (1, N-2) and so on add up to N-1. So, for example, if N were 10 we would have (0+9)+(1+8)+(2+7)+(3+6)+(4+5)=5*9=45=10*9/2. If N were 5 we would have 0+1+2+3+4=10=(0+4)+(1+3)+2=5*4/2. L=12*100 inches. L=1200=2(pi)(5N+0.65625N(N-1)/2)=(pi)N(10+0.65625(N-1))=(pi)N(9.34375+0.65625N). If the external radius is r1 and the internal radius is r then the thickness of the spiral is r1-r and since 0.65625 is the gap between the spiral arms N=(r1-r)/0.65625. N is an integer, but, since it is unlikely that this equation would actually produce an integer we would settle for the nearest integer. If we solve this equation for N, we can deduce the external radius and diameter of the spiral: N(9.34375+0.65625N)=1200/(pi)=381.97; 0.65625N^2+9.34375N-381.97=0 and N=(-9.34375+sqrt(1089.98))/1.3125=18 (nearest integer). This means that there are 18 turns of the spiral to make the total length about 100 feet. If X is the final external diameter of the coiled pipe and the internal radius is 5" (the minimum allowable) then X/2 is the external radius, so N=((X/2)-5)/0.65625. We found N=18 so we can find X: X=2*(0.65625*18+5)=33.625in. Solution using calculus Using calculus, we can work out the relationship between the length of the spiral and other parameters. We start with any polar equation r(ø) and a picture: draw a line representing a general value of r. At a small angle dø to this line we draw another line a little bit longer, length r+dr. Now we join the ends together to make a narrow-angled triangle AOB where angle AOB=dø and AB=ds, the small section of the curve. In the triangle AO is length r and BO is length r+dr. If we mark the point C along BO so that CO is length r, the same as AO, we have an isosceles triangle COA. Because the apex angle is small, CA=rdø, the length of the arc of the sector. In triangle ABC, CB=dr, AB=ds and CA=rdø. By Pythagoras, AB^2=CB^2+CA^2, that is, ds^2=dr^2+r^2dø^2, because angle BCA is a right angle as dø tends to zero. The length of the curve is the result of adding the tiny ds values together between limits of r or ø. We can write ds=sqrt(dr^2+r^2dø^2). If we divide both sides by dr, we get ds/dr=sqrt(1+(rdø/dr)^2) so s=integral(sqrt(1+(rdø/dr)^2)dr, where s is the length of the curve. The integral is definite if we define the limits of r. For our spiral we have r=A+Bø, making ø=(r-A)/B and B=p/(2(pi)), where p is the diameter of the pipe=0.65625", so we can substitute for ø in the integral and the limits for r are A to X/2, where A is the inner radius (A=5") and X/2 is the outer radius. dø/dr=2(pi)/p, a constant=9.57 approx. s=integral(sqrt(1+(2(pi)r/p)^2)dr) between limits r=A to X/2. After the integral is calculated, we solve for X putting s=1200". The expression (2(pi)r/p)^2 is large compared to 1, so s=integral((2(pi)r/p)dr) approximately and s=[(pi)r^2/p] (r=A to X/2); therefore, since we know s=1200, we can write ((pi)/p)(X^2/4-A^2)=1200. Therefore X=2sqrt(1200p/(pi))+A^2)=33.21". Compare this answer with the one we got before and we can see they are close. [We could get a formal solution to the integral, using hyperbolic trigonometric or other logarithmic functions, but such a solution would make it very difficult or tedious to solve for X, since X would appear in logarithmic expressions and in other expressions making it difficult or impossible to isolate X. For example, the next term in the expansion of the integral would be (p/(4(pi))ln(X/2A), having a value of about 0.06. It is anticipated, therefore, that an approximation would be sufficient in this problem with the given figures.] We can feel justified in using the formula for finding the length of pipe, L, when X=6'=72": L=((pi)/p)(1296-25)=6084.52"=507' approximately. This length of pipe would hold 507/100*0.96 gallons=4.87 gallons.      
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whats the answer to -2x + 3 > 3(2x - 1)

We need to expand the brackets on the right: -2x+3>6x-3. Add 2x to each side of the inequality: 3>8x-3 and add 3 to each side: 6>8x. Another way of writing this is 8x<6. Divide through by 2: 4x<3 and divide through by 4: x<3/4. We added 2x to each side because that helps us to bring the x's together. We added 3 to each side to bring the numbers together. Now we've ended up with x's on one side and a number on the other. Just what we want. 2 is common to 6 and 8 so we simplify the inequality by dividing through by it. Then to get x instead of 4x we divided through by 4. Why is 6>8x the same as 8x<6? Well, think about it. 2<3, isn't it? So 3>2. That's true. If Jack is taller than Jill, then Jill is shorter than Jack. See how it works? You just reverse the inequality when the quantities swap sides. It's a good idea to check your answer by substituting a value for x in the original inequality, just to make sure we haven't made a mistake. The answer was that x must be less than 3/4 so let's try x=1/2. -2x+3 is -1+3=2. Now the right side: 2x-1 is 1-1=0 multiplied by 3 is still zero. Is the inequality correct? Yes it is, because 2 is greater than zero. If we put x=1 we should find that the inequality doesn't work out because x is bigger than 3/4. Let's see. The left is 3-2=1 and the right is 3. 1 isn't bigger than 3, so the inequality is false, as expected. If we put x=3/4 we will find that the left equals the right when it should be bigger than it. Looks like x<3/4 is right!
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How do you add and subtract negative numbers? Like -4 + -9?

You may need a number line to help you, or if you understand how to use a thermometer, that will help. Your number line is like a thermometer. Somewhere round the middle of the line mark 0. To the left are all the negative numbers, to the right all the positives. On a thermometer (Celsius) 0 is the freezing point. All to the left are below freezing; all to the right are above freezing. -4 and -9 are on the left of zero, and -9 is further to the left of zero than -4, which means -9 is to the left of -4. Now take a positive number, say, 5 to the right of zero. What is 5-(-4)? To find out you want to know the distance between them on the number line. The answer is 9, because the distance between zero and 5 is 5 and the distance between -4 and zero is 4; the distance between -4 and 5 is therefore 9. So 5-(-4)=5+4=9. Remember, negative is left and positive is right. What is -1-(-4)? What does it mean? We start at -1, which is 1 to the left of zero. How far away is -4? It's 3 further to the left. But we know from above that 5-(-4) is the same as 5+4, so -1-(-4) is -1+4=4-1=3. So when we write -1-(-4), we're really saying how far is -1 away from -4. First thing to note is that it's to the right of 4, so right means positive so we know the answer is that -1 and -4 are separated by 3, and -1 is bigger than -4 by (positive) 3. What about -4-(-1)? To get from -1 to -4 we have to move 3 to the left so the answer is -3, because left is negative.  -4+(-9)  means start at -4 and go another 9 places to the left, ending up at -13. -4+(-9) is the same as -4-9. Play around with these ideas, and think also about thermometers and temperatures. -4 is a lower temperature than -1, and they're both below freezing. The better you can visualise numbers and abstract concepts the easier you will find the math.
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