MsPi_3.14159265

Happy Friday Math Gang; I can't seem to wrap my head around this one... If two circles have at most 2 places of intersections, 3 circles have at most 6 places of intersection, and so on... How many places of intersection do 100 circles have? Well... I can...

7 years ago

Does a hint help that you are doing an "A given B scenerio" these are the ones where you have already been given some info : )

7 years ago

And in-case you don't know about 3,4,5 Pythagorean triples, the longest side of the triangle is the ladder (at 5 m) : )

7 years ago

Or... if you have been taught to set it up as a proportional situation you have Commission/sales = commission/sales Steve just showed you the work once you have already got your proportional situation arranged : ) The question shows $175/$3000 and you nee...

7 years ago

Remember percent is out of 100. You can set this up as a proportion... thought you might want to use fractions instead of decimals... or atleast improper fractions [65/12] divided by [71/13] = x/100 and solve for x

7 years ago

You could just google search this and you will get the four four answers for 1 to 100 very quickly. This is just a great fun way to spend time with numbers : )

7 years ago

So you are solving for x. First multiply both sides by 2 to clear your fraction out : ) 56x - 98 = 294 then add 98 to both sides and continue...

7 years ago

Clear the fraction out first by multiplying both sides by 3 : )

7 years ago

a) y =10000(0.11)^t b) y = 10000(0.11)^6 and you solve it c) 1000 = 10000(0.11)^t and I would divide both sides by 10000 first then either uses exponents or take the log of both sides to solve

7 years ago

Thanks math gang! Time for a cup of afternoon tea. I was doing the math in my head and .89 didn't feel just right. LOL! Thanks again for the correction : )

7 years ago

True! Because both the discriminant and the graph produce that solution : ) It is a quadratic with a vertex below the x-axis and it opens downward. b^2 - 4ac <0

7 years ago

By substitution or the comparison method set equation 1 equal to equation 2 and solve for x 2x^2-3 = 3x -1 then sub your answer for x back into equation 2 and solve for y : )

7 years ago

Sorry... this website does not show images/pictures/diagrams...

7 years ago

Yes, both ways have the same answer : )

7 years ago

If you long divide or use synthetic division you should start with factors of 1 and -1 ...

7 years ago

IF it is 225 to the power of 1/2 then that is the SQUARE ROOT of 225.

7 years ago

Recall that 100 is 10^2 and that 1000 is 10^3, so you have power of a power... that is 10^(2(5x+2)= 10^(3(4x-1) and since the bases are the same we can set the exponents the same so... 2(5x+2)=3(4x-1) and use the distributive property to expand the bracke...

7 years ago

32 is 2^5 and 8 is 2^3 so you can use power of a power rule to obtain 2^(5(1-x)) = 2^(3(2x-2) and since the bases are the same set the exponents equal. 5(1-x)=3(2x-2) and solve for x

7 years ago

I did a google searched and the first hit in the list gave a great many references to your question. Happy hunting :)

7 years ago

1. distribute the 2 into the brackets to obtain 6x + 4 = 2x + 28 Then take your letters(variables) to one side and your numbers to the other. 2. Just add 3y to both sides to balance the equation 5y+3y+13 = 43 - 3y +3y 8y+13 = 43 Now subtract 13 from both...

7 years ago

The difference between present value and future value is really in the wording of the question. If the question says you want $30,000 for first year post secondary school what should you save or invest now... that is asking what is the present value of th...

7 years ago

It is a wee bit of a run on sentence. It would run more smoothly with either a semi-colon to change it into a list of the three, or... a period dividing the sentences.

7 years ago

You can think of it as sandwich, then cake then biscuit... that is ____, ____, _____ and you choose a sandwich THEN cake THEN biscuit so... ___ x___ x____ and we have 3 sanwiches, then 2 cakes then 4 biscuits... 3x4x2

7 years ago

A hint would be to first Consider drawing 7 slots for the people then organizing how many ways the line up can go... Doris, _____, ______ Paul,_______, _______, ________ but then _____, Doris, _______, _______, Paul,_____, ______ and then _____, _____, Do...

7 years ago

Consider the cases of show 1 and then show 2 and then show 3 For show one he has ____ x _____ (8 tricks to pick first then 7 for his second trick (so the two tricks are not the same). Then we ADD on case 2 where her performs 2 more tricks. Now at show two...

7 years ago

I did a google search on your phrase and the first hit got "her concentration on the eccentricities and idiosyncracies of the English language, and her broad use of poetic devices, such as onomatopoeia, inner rhyme, alliteration, ..." So you may wish to u...

7 years ago

All you need to do is tell us the angle at tower A and the angle at tower B, and then you can use the sum of the angles in a triangle add up to 180 degrees to get the angle at C (the plane) then the SINE LAW will help you to figure out the rest :)

7 years ago

The maximum height is the VERTEX. You have the equation, and just need to use grade 10 math : ) for the vertex.

7 years ago

Have you thought about dropping a height to your triangle and thus making right angled triangles and going that route (since your diagram might not give you the angles at A and B)

7 years ago

Because you know all three sides you can use the Cosine Law. z^2=x^2 +y^2 -2xycosz and re-arrange to get cosz all by itself. Then solve for the angle z

7 years ago

This is a similar triangle proportional equation. x/1m = 36.72/3.06 or if you want to use the tangent ratio in the smaller triangle you can use the angle found tanx =1/3.06 and apply it to the larger triangle.

7 years ago

So one side is x, while the next is 2x - 7, the third is 4cm longer than the first... the first was the 2x-7, so the third side is 2x - 7 + 4 P = s + s + s 80 = 2x - 7 + x + 2x -7 + 4 and solve for x, then sub that into the expressions for each side : )

7 years ago

If the numbers were 1, 2, and 3 that would fit the criteria of three consecutive integers. We know that 1 + 2 + 3 does not equal 147 but it is a starting place. If you let x be the smallest integer. Then we see the next is one number bigger... so x + 1, a...

7 years ago

1) Gather your like terms on the right (that is, put your letters together, then your numbers) 2) Re-arrange the equation so that all of your numbers are on the left hand side. 3) Divide by whatever is connected to x on both sides... and hint... when you...

7 years ago

80 = 5x - 10 So take the 10 to the other side of the equation....

7 years ago

Take the 3 to the side that has the number... - 147 = 3x + 3 So if you balance it off - 147 - 3 = 3x +3 - 3 -150 = 3x .... and you can solve for x

7 years ago

Google search your phrase : )

7 years ago

And... refer to the notes your teacher has given you. And... refer to any hand outs and text book pages that relate to your topic.

7 years ago

The side you are looking for is 2x that is 2 times 18 So the side is 2 x 18 = .... The final side is 2x - 7 ... that is 2(18) - 7 = .... That way you would have all three sides of the triangle labelled : )

7 years ago

You are very welcome! Enjoy your day : )

7 years ago

Happy Sunday! If you consider the letters first then you have ____ then ______ then _____ then _____ then _____ and each of the five letters can have three places to go 3 then 3 then 3 then 3 then 3 thus 3 x 3 x 3 x 3 x 3 = 243 possibilities Did you have...

7 years ago

1. So in your formula replace the r with (2x+3) that is... S = 4(PI)(2x+3)(2x +3) Now use the distributive property to simplify... 2. total area - sky light = area remaining (10x+9)(7x+7) - (x+5)(3x+3) = remaining area. Use the distributive property to ex...

7 years ago

This is directly out of your science text book. I did an on-call last week in a grade 9 science classroom and it was in their textbook. If you do not have access to a textbook this evening... just google search it :)

7 years ago

Isn't my telling you breaking the honor code as well then??? If you are being tested on this, then any looking up (or asking for answers) is an honor code violation.

7 years ago

Is this an I = (p)(r)(t) loan, or a COMPOUNDED loan?

7 years ago

2 out of 12 picks get you a number divisible by 5 (that is only 2 divided by 12 of a chance). This is NOT very likely.... You have stated you think the probability is 1, the 1 you have stated means 100% chance. Do you still feel your answer is correct?

7 years ago

Draw a spinner. Circle the even numbers. How many numbers out of the 5 possible are even?

7 years ago

So the new dimensions are 5x3=15m by 5x3=15m So... the new area is 15 x 15 = 225 And the question asks how will the area be affected. They are looking to see the relationship between 25 and 225 (that is, how many times bigger is 225 than 25)

7 years ago

Correct.

7 years ago

No. The places the spinner could land are 1, 2, 3, 4, 5 these are the five sections that would be on a circular spinner. Now the even numbers where it could land are the numbers 2 and 4. So there are TWO out of the FIVE sections that would give you an eve...

7 years ago

Simplest form is a reduced fraction.

7 years ago

Semi-annually means the money is looked at twice a year (for each of the three years), and the interest at 4% is split into 2 (for semi-annually) each year so... A = P(1 + i)^n A=4000( 1 + 0.04/2)^(3x2) .... Solve for the accumulated amount in the account...

7 years ago

OOOOPS! so sorry! I thought it was compounded SEMI-ANNUALLy! So very sorry. Thanks for the proper solution Reiny : )

7 years ago

y = 5x + 4 is a line, so I am not certain where the curve comes from... did you make a typo?

7 years ago

Proof by induction takes two steps. Step 1: Show that the left hand side equals the right hand side for n = 1 LS... 2(1) - 1 = 1 RS... 1^2 = 1 So step 1 holds true, thus meaning we can proceed to step 2 the induction step: Assume true for n=k and show tru...

7 years ago

Far too informal...

7 years ago

Correct : )

7 years ago

You are correct : ) As the others are all things that occur in your year on a regular basis and must be considered when deciding how to best spend your money. The discretionary expenses could be things like going out to StarBucks everyday (it may be nice,...

7 years ago

Dimes are 10 cents, quarters are 25 cents. Your equation is the number of them times their value : ) Let x represent the dimes 10x + 25(x + 13) = 360 You can either work in pennies or dollars. This equation is if you work in pennies : ) Use the distributi...

7 years ago

Area is Length x width Perimeter is Length + Length + width + width or 2*L + 2*w

7 years ago

Start by determining how much paint is needed for the 7 chairs, that is 7 x 1/9. Then check if 3/4 is smaller or bigger then the amount needed for 7 chairs)

7 years ago

You can solve the equation "how many 1/3 pitchers must you fill to make 3/4" that is... (1/3)times Pitcher = 3/4 (1/3)(P)= 3/4 so multiply both sides by 3 (3)(1/3)(P) = (3)(3/4) the 3's reduce on the left leaving P = 9/4 or as Ms Sue said a little more th...

7 years ago

Circumference = pi x(diameter), and we know that the radius is half of the diameter. So the radius x 2 is the diameter.

7 years ago

#4 should read "A" book in general, is expensive. #7 works when it refers to The person likes reading a book versus reading a magazine.

7 years ago

Yes, your explanations are good. You may want to add a wee bit to your explanation of #7 such as [a book in general versus a magazine or other print materials]

7 years ago

It depends on how advanced your math is... You could do this question merely by looking at the patterns If you consider a) 100km distance between them then at 100km/h it took 1 hr and at 80km/h it took under two hours so the time is NOT 3 hours more. So y...

7 years ago

Find the rate per year. That is take the difference between 155 and 125 and divide it by the number of years between 2009 and 2011. Then multiply this yearly rate by the number of years between 2011 and 2014.

7 years ago

You are correct : ) Two transformations have been performed on the ordered pairs. One right after the other.

7 years ago

Dear Tom; This is not the final solution yet... Sincerely, Ms Pi

7 years ago

Diverge means gets bigger, converge means gets smaller. All of your numbers follow one pattern or the other.

7 years ago

The definition of a rectangle is....."a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square." Your question asked for the length of GK. Do you need the area as well ? (bxh)/2

7 years ago

The area is (bxh)/2 If the hypotenuse is 9 and one leg of the triangle is 4 then by the Pythagorean Theorem the other leg is 8.0622. How did you get 8.24621?

7 years ago

You need to use the pythagorean theorem to find length of the base. c² = a² +b² Then use (bxh)/2 to find the area

7 years ago

You are really just looking for a perfect square hiding under the square root sign. The square root of 45 has 5 x (the perfect square 9). The square root of 9 moves to the front of the root sign, as it is perfect (the square root of 9 is 3). A second exam...

7 years ago

√ 27 = √ 9x3 = 3 √ 3

7 years ago

<span style="white-space: nowrap; font-size:larger"> √<span style="text-decoration:overline;"> X + 1 </span> </span>

7 years ago

Volume = height x width x depth

7 years ago

Consider the code as 8 spaces for the combination. ___ ___ ___ ___ ___ ___ ___ ___ There are 0-9 numbers (that is 10 options) for each space for the code. And we know that each number can be repeated for any place in the code so, 10 x 10 x 10 x 10 x 10 x...

7 years ago

http://www.onlinecalculatorfree.org/law-of-uninhibited-growth-calculator.html#.WsHVGDMh02w I found this free calculator on-line. I saw your question earlier in the day but was unable to help you.

7 years ago

Here is your 7 digit phone number represented with a blank line for each digit. So the first x can be 10 different numbers _10__ ___ ___ ____ ____ ____ ____, but which ever number you use, it is then used up. So then you only have 9 numbers left _10_ x _9...

7 years ago

Find the area of the dance floor Area=Lengthxwidth Then divide by the 2x2=4feet each person needs. This will tell you how many people fit on the dance floor.

7 years ago

Sure : ) It just has a radius of the square root of 6. It has a center at the origin (0,0)

7 years ago

slope is m y-intercept is the b value sub your two numbers in

7 years ago

You need to start your book with the definition of a bully. You also need to list the forms and types of bullies and bullying. Once that is all defined you need to defend your thesis. And you should provide concrete examples of how to prevent and stop bul...

7 years ago

I am not certain which is the numerator and which is the denominator. You can start by factoring the two trinomials on top. I think they are being multiplied together... Please advise.

7 years ago

Remember to state your restrictions before you reduce any of your expression.

7 years ago

Well you know that cos(x) is sketched between 1 and -1 on the graph. And you are looking at the average value between two points.

7 years ago

You can either do this with 2 variables or one. In one variable you have the equation... Let x represent the nickels, so there are 90-x dimes .05x + (90-x)(.10) = 6.30 Solve for x

7 years ago

Mean... add them all up and divide by the number of pieces of data. Start there : )

7 years ago

I just google searched your exact question and it happily came up with a great description. Did you try google?

7 years ago

https://ca.answers.yahoo.com/question/index?qid=20090709205107AAumjCq Jul 9, 2009 - Liquid water has a specific heat about twice that of ice, so it is completely clear that a given mass of water will require twice as much heat to raise its temperature one...

7 years ago

physics.bu.edu/~duffy/semester1/c23_buoyant.html The buoyant force. When an object is placed in a fluid, the fluid exerts an upward force we call the buoyant force. The buoyant force comes from the pressure exerted on the object by the fluid. Because the...

7 years ago

Or... Set the area of the triangle = area of the trapezoid Then re-arrange for "the missing length" And you will have your formula for the length of the long side : )

7 years ago

You can use two equations in 2 unknowns to solve. Let A be the apples and B be the peaches. 6A + 9B = 9.75 4A + 5B = 5.75 If you use the process of "elimination" that is multiply all part of the first equation by -4 and all parts of the second equation by...

7 years ago

Interest = (Principal)x(Rate)x(time) of the loan : )

7 years ago

It represents the y-intercept of the function. It represents when x=0 the value of y. It is sometimes referred to as the "base value" of the function (because you can graph the function using that y-intercept and the slope)

7 years ago

If you work backwards (which is a viable problem solving strategy in grade 3 you have). He gave a marble away and had 1 left. So... he had 2 marbles. But before that he had to lose 1/3 of his marbles (and still have 2 left) so... 1/3 of 3 marbles is one m...

7 years ago

Dr Bob answered your question earlier this evening... He wrote... diatance = rate x time. It took t1 to go there so d1 = 14*t1 It took t2 to get back and you know t1 + t2 = 3.4 hours. distance there = 14*t1 distance back = 20*t2. Since the distance is the...

7 years ago

The ones that make sense are #1, #2, #3, #9 should read... It is in three dimensions #10 should read ... It is in three dimensions #11 should read... It is in the third dimension. That is, the z-coordinate is in the third dimension. Hope this helps : )

7 years ago

When you sub in the value of -2 into your equation you obtain y = 4x - 1 y = (4) times (-2) - 1 y = -8 - 1 y = -9 follow this similar procedure to figure out the values that go with each x value that you sub into the equation.

7 years ago

What is the compounding on her loan? Is it monthly? Or yearly? Or is it SIMPLE Interest? I=PRT ?

7 years ago