Hello from MrBillDoesMath!
Answer:
z = 28 (y/x)
Discussion:
"
z varies inversely with x and directly with y" translates into
z = k * (y/x) (*)
Substituting x = 2, y = 3, z = 42 in (*) gives
42 = k (3/2) => multiply both sides by 2/3
42 (2/3) = k (3/2)(2/3) => 42(2/3) = 28; (3/2)(2/3) = 1
28 = k
Conclusion:
z = 28 (y/x)
Thank you,
MrB
The answer would be 5 to 9. There are nine marbles overall and there are five white marbles. If you put the overall number of marbles second and the amount of that color of marbles first, you get D.
Answer: Option C
, 
Step-by-step explanation:
If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.
By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a ', b' and c 'then:

In this case

So:




Therefore
if
and
then 
Finally
, 
Answer: 315,392
Step-by-step explanation: this took me some time but I multiplied multiple times each time and I got this I hope it’s correct.
Btw I multiplied 2 times 8 then multipled with 11 then multipied 172 times 8 then multiplied by 14 and got 19,712. Then, I multiplied 19,712 by 16 and got 315,392
I had to edit cause I miscalculated :/ anyways I hope this is correct
Answer:
1.479 kg
Step-by-step explanation:
density = mass / volume
9.86 g/cm3 = mass / (3 x 10 x 5)
9.86 = mass / 150
9.86 x 150 = 1479 g
1479 / 1000 = 1.479kg