Gogutz Gogutz
  • 16-10-2014
  • Mathematics
contestada

Solve :   5a-3(b+c)+145:5-8 if :

3a-2b=b-2a+3c  and  c=[(3+6+9+...+300):303]-40 .

Respuesta :

mariamikayla
mariamikayla mariamikayla
  • 16-10-2014
[tex]c=[(3+6+9+...+300):303]-40 \\\\ c=[3(1+2+3+...+100):303]-40 \\\\ c=[3*\frac{(1+100)*100}{2}:303]-40 \\\\ c=(3*101*50:303)-40 \\\\ c=(303*50:303)-40 \\\\ c=50-40 \\\\ \boxed{c=10}[/tex] [tex]3a-2b=b-2a+3c \\\\ 3a-2b=b-2a+3*10 \\\\ 3a+2a=b+2b+30 \\\\ 5a=3b+30 \\\\ \boxed{a=\frac{3b+30}{5}}[/tex]

[tex]5a-3(b+c)+145:5-8= \\\\ 5a-3(b+10)+29-8= \\\\ 5*\frac{3b+30}{5}-3b-30+21= \\\\ =3b+30-3b-30+21= \\\\ =30-30+21= \\\\ =\boxed{\boxed{21}}[/tex]
Answer Link

Otras preguntas

how do you solve the equation 8-5w= -37
Which area of the United States and Canada suffer most from acid rain, deforestation, chemical or nuclear toxic waste, and flooding?
underline the tenth place in each number 9.08     18976.4      23.9876      11.5
How to use the word apartheid In a sentence that has to do with the holocaust.
How do microscopes change the orientation of specimens?
how do you simplify (21 to the 7th power)to the 7th power
Is the difference of two positive rational number always positive
The sum of three consecutive odd integers is 195. Find the three integers.
Workers are putting brick trim around the edge of a circular pool in the park in Central City. The diameter of the pool is 50 feet. How many 9 inch long bricks
what is the fraction for 7.71