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First, combine like terms

0.75r-0.125=0.5+r

Subtract 0.75r from each side

-0.125=0.5+0.25r

Subtract 0.5 from both sides

-0.625=0.25r

Divide -0.625 by 0.25 to get -2.5

r=-2.5

Centi = 1/100

so 1 centimeter is 1/100 of a meter

so there are 100 centimeters in a meter

−68 < 8x−4 < −36           add 4 to  everything

-64  <  8x   <  - 32          divide through by 8

-8  <   x  <  - 4

I think you have the angles mis-labeled

Assuming that PSQR is a parallelogram

Let m < EQP  = m < PEQ    = m < EQR   =  angle 1

Let m < QRE  = m < QER   = m< SER  = m <  ESR  = angle 2

Let m < ESR  =  angle 3         and angle QPE  = m < 2 + m < 3

So....we have the following equations

2m< 1  + m <2 + m< 3   = 180      (1)

2m < 2  +  m < 1    =  180       (2)

2m < 2  +  m < 3  = 180       (3)

So  equatiing (2) and  (3)   →   m < 1   = m < 3    .......  sub this  into (1)

2m<1  + m<2 + m< 1  = 180

3m<1 + m<2  = 180    (4)

Using  (2)   and (4)

m < 1  + 2m<2    = 180

3m< 1 + m<2  = 180               multiply the top equation by -3 and add it to the second

-5m< 2  =  -360          divide both sides by -5

m< 2  =   72°  = m< QER   =  "E2"

 Also ....     m< 1   =  36°   =  m < 3  

0.25r-0.125+0.5r=0.5+r

0.25r + 0.5r - r = 0.5 + 0.125 put all r's to the LHS.

-0.25r = 0.625   divide both sides by -0.25

r =0.625 / -0.25

r = - 2.5, which is the correct answer.

I'm sorry, I tried to make all of the words line up, but they didn't. I hope all of what I just said makes sense. 

-RedGlasses

 39 x 1.4359 =~56 - Temp. at 5 pm

56 - [25% x 56] =

56 - 14 =42 degrees - Temp. at 3 am the next day.

\(0.25r-0.125+0.5r=0.5+r\)                                                     First, you combine like terms.

\((0.25r+0.5r)-0.125=0.5+r\)

\(0.75r-0.125=0.5+r\)                                                 Then, you subtract r from both sides.

- r                       =           - r

\(-0.25r-0.125=0.5\)                                          Then, you subtract 0.125 from both sides.

                 - 0.125 = -0.125

\(-0.25r=0.375\)                                         Then, because you can't have a neagtive

                                                                                          variable, you multiply both sides by -1.

\(-0.25r*-1=0.375*-1\)

\(0.25r=-0.377\)                                         Finally, you divide both sides by 0.25.

\(\frac{0.25r}{0.25}=\frac{-0.375}{0.25}\)

\(r=-1.5\)

Hope this helps!

-RedGlasses 

The way you have it written = sqrt(7.5^2-13.6)/(0.8^3+9.9), then the answer is =0.6272278857954551

If you mean this: sqrt{(7.5^2-13.6)/(0.8^3+9.9)}, then the answer is =2.0239157871143681....

\(535.41=\frac{53541}{100}\)

You can use https://www.mathway.com/Algebra to do these type of problems, but here's the answer anyways.

\(5+9-(9*6-6+5)+\frac{8}{7}=-\frac{265}{7}\)

                             OR

\(5+9-(9*6-6+5)+\frac{8}{7}=-37.9\)

Yes, Dominic and Edvin agree because the ratio of 80:20 =4: 1 by dividing the LHS by 20.

140 boys / 7 boys = x boys/2 boys, solve for x
x = 40 boys who enjoy baseball.
140 + 40 = 180 boys who enjoy football and baseball.
[3 / (3+6)] x 180 = 60 girls who enjoy football
[6 / (3+6)] x 180 = 120 girls who enjoy baseball.

5 / (5+3) x  136 = 85 vehicles are not SUV's. 

You have to be able to assume that PQRS is a parallelogram, (was this fact omitted from the question ?), or else you cry foul at being visibly misled. If PQRS is not to be taken as a parallelogram then the diagram should be drawn with both Q2 and R2 bigger, so as to make the situation clear. You have to be able to assume that PES is a straight line else again you are being visibly misled.

If PQRS is not a parallelogram then all you have are three more or less independent triangles.

Interesting question but badly written.

The answer above is pi,

The real definition of pie is...

a baked food having a filling of fruit, meat, pudding, etc., prepared in a pastry-lined pan or dish and often topped with a pastry crust

Source: Dictionary.com

omgosh thank you so much! my brain was doin flip flops on this one for some reason! 

The answer is 4.

Well, then x + (x + 2) + (x + 4) would equal 36

x + (x + 2) + (x + 4) = 36

3x + 6 = 36

3x = 30

x =10

So the three consecutive even integers are 10, 12, and 14.

You can factor out in a few ways,if that is the question

realise that a^3 X b^2    =  a x a x a x b x b       so you can have 

                                      = a(a x a x b xb)    = a(a^2b^2)       

or a^2(a x b^2)     etc   etc    .     But in most calculations, a^3b^2 is probably the simplest form.   

The question is

What per cent of  102  is 32   ?      that is

x per cent of  102   is 32         Remember that per cent means  hundreths, also when we say   'of'  we multiply. A half  'of' something  is 1/2    X   something.   So to write 

x  per cent of 102 is 32       as an equation  ,  we write

x/100            X         102    = 32         ( the capital X  is a multiplcation sign,don't confuse with little x )

re-arranging

x/100    = 32/102        (divide both sides by 102)

x = 100  X  (32/102)       =   31.372.

Same method for the other two,try for yourself.

Hi Juriemagic,

I tried drawing it and I found that only very specific angles will work (in order to make PES a straight angle.)

I randomly chose an x angle and then constructed it from there (using GeoGebra)

This is what I got - only in GeoGebra you can move things to try and make it better.

As you can see, even with the 72 degrees, PES is not a straight angle.

So obviously only a limited number of x angles can work (maybe only one)

I have not gotten further than this yet but  the focus of my thoughts is what angles are necessary in order to make PES a straight angle.......

Let the distance between the origin and the 1st city =D =The distance between 2nd and 3rd city.
Let the distance between 1st and 2nd city = d,then:
The distance between origin and 1st city =1/3d + 100, and
The distance between 2nd and 3rd city =5/4d - 10. But we have:
1/3d + 100 = D..........(1), and
5/4d - 10 = D.............(2), but
1/3d + 100 = 5/4d - 10, solve for d
d = 120 miles - distance between 1st and 2nd city.
1/3 x 120 + 100 = 140 miles - distance between origin and 1st city.
5/4 x 120 - 10 = 140 miles - distance between 2nd and 3rd city.
140 + 120  + 140 = 400 miles - total distance travelled. 
                                  

Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go. 

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