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Let m be a positive integer. In triangle ABC, AB=4,-9, AC=3m+1, BC=3m+4 and angle A > angle B > angle C. How many possible values of m are there? 

ok thank you!

4096_62 was 144 :D

If we assume all of the toppings are the same price

3 toppings = 3t       plain pizza = p 

3t +p = 7.49

2t+p = 6.99     subtract 2nd equation from first

t = .50     (50 cents)

2t+p = 6.49

2(.5) + p = 6.49

p = 5.49   

Sure    base 10 would be       0 x  60^0   + 0 x 64^1   + 1 x 64^2    =  4096   

    Now can yo convert it to base 62?    

85% = .85    60% = .60

.85 x .6 = .51     aproximately a 50-50 chance you wil go  

It changed    96-12 = 84 million tons in 5 years of increase   (   51   52   53   54   55   )

    84/5 =16.8 million tons a year increase

The second part of your question has different dates    1950 to 1995  is 45 years of increase

84/45 = 1.867 million tons/yr increase average

By similar triangles, UV = 15.

Hints:

"Angle A> Angle B > Angle C" 

Therefore,

CB>AC>AB 

so,

\(3m+4>3m+1>4m-9\)

Subtract 2m

\(m+4>m+1>2m-9\)

Subtract 1

\(m+3>m>2m-10\)

\(m+3>m>2(m-5)\)

Solve by factoring the quadratic equation or by applying the quadratic formula.

\(3y^2+5y-2=0\) (I.e. just subtracted 4 from both sides so the right hand side is = 0) 

factor

\((3y-1)(y+2)=0\)

so

\(y=-2\)

y=\(\frac{1}{3}\)

"Least value of y" so y=\(\frac{1}{3}\) is the answer.

Initially, $40\%$ of the students at the school dance are girls. Then, $15$ more girls arrive, after which $52\%$ of the students at the dance are girls. How many students are now at the dance after the additional girls arrive?

2 gallons per 70 minutes = 2/70

reduces down to 1/35

35 miles per gallon

I've got it, thanks a lot!

 You have it correct.....!!

I answered this question a couple of days ago....and realized I made a mistake when I saw YOUR answer....I had to go back and edit MY answer!

   Good work !   

A rose garden is formed by joining a rectangle and a semicircle. The rectangle is 28 ft long and 22 ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required.

4 acres  /   2/3 acre/lot

=  4  acres   *  3/2  lot/acre   =      ?

3 m is to 5.6 l     as     x   is to 8 l

3 / 5.6  =  x / 8  

3/5.6 * 8 = x = 4.29 m

Just add all of the sides   28 + 22 + 28 + 22 =

Ooops...missed the semicircle....see Omi 's answer below! 

The number of ways is 8.

It takes 5.6 litres of paint to paint a chimney that is 3m high. what is the tallest similar chimney that can be painted with 8 litres of paint?​

a

Um einen 3 m hohen Schornstein zu streichen, werden 5,6 Liter Farbe benötigt. Was ist der höchste ähnliche Schornstein, der mit 8 Litern Farbe gestrichen werden kann?

Hello Guest!

\((3m)^2:x^2=5.6l:8l\\ x^2=\frac{8l\cdot 9m^2}{5.6l}\)

\(x=3.586m\)

A 3.586m high chimney can be painted with 8l of paint.

  !

what is bigger 4/5 or 6/7

Hello Guest!

\(\frac{4}{5}=\frac{28}{35}\\ \frac{6}{7}=\frac{30}{35}\)

\(\frac{6}{7}\ is\ bigger\ then\ \frac{4}{5}\)

  !

Like so:

What point do we get when we rotate (3,2sqrt3) around the point (2,sqrt3) by  counterclockwise?

A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets of three groups can be made?

I have trouble with these too but I do believe you have doubled counted.

I am not sure what the answer is but maybe it is just what you have divided by 3! because the order the groups are selected in is of no consequence.

That would bring your answer down to 280.

I did this a different way and came up with 280 then too.

Do you know what the correct answer is ?