If x varies directly as y, and x=24 when y=8, find x when y=10

when y= 10 x=30

How is it x= 30 you may ask?

x varies directly as y. This means that:

(x/y) is a constant. Let us call this constant as "k". i.e: x/y=k

for the first one which is x=24 y= 8

24/8= 3

BUT... about y=10?

for y= 10 its the same rule x/y= k in this case we already found K which is 3

*we don't have x so we cant divide anything however we do have  "k" and y so all we have to is multiply so its 10*3= 30*

And that's how x= 30 when y= 10

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47