-4 (5y + 5) = -120
multiply the bracket by -4
(-4)(5y)=-20y
(-4)(5)=-20
-20y-20=-120
move -20 to +20
-20y-20+20=-120+20
-20y=-120+20
-20y=-100
divide both sides by -20 to get y by itself
-20y/-20=-100/-20
Answer: y=5
Answer:
We have the next relation:
A = (b*d)/c
because we have direct variation with b and d, but inversely variation with c.
Now, if we have 3d instead of d, we have:
A' = (b*(3d))/c
now, we want A' = A. If b,c, and d are the same in both equations, we have that:
3bd/c = b*d/c
this will only be true if b or/and d are equal to 0.
If d remains unchanged, and we can play with the other two variables we have:
3b'd/c' = bd/c
3b'/c' = b/c
from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.
Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c
Answer:
<em>0.78</em>
Step-by-step explanation:
From the question, we are to represent 78% as a decimal
78% = 78/100
78/100 = 78 * 1/100
78/100 = 78 * 0.01
78/100 = 0.78
<em>hence the percent written as a decimal is 0.78</em>
Answer:
cos 30
Step-by-step explanation:
cos 30 + sin 60 / 1+ sin 30 + cos 60
= root3 / 2 + root3/2 / 1 + 1/2 + 1/2
= root 6/2 by 4/2
= root 6/4
= root 3/2
= cos 30
