Regarding your (1/10 divided by 2/5): I'm going to regard this as
(1/10) divided by (2/5).
First, write
1
---
10
Invert the fraction 2/5 and then multiply 1/10 by 5/2:
1(5)
-------- = 1/4, after reducing 5/10.
10(2)
Thus, <span>−34+(1/10÷2/5) yields -34 + 1/4, or -33 3/4.</span>
Answer:
5:6
Step-by-step explanation:
20/4=5
24/4=6
20:24 ratio simplified is 5:6
sorry if wrong
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
Answer: 320 g
Step-by-step explanation:
We can set up a ratio.
Let the amount of oats equal to x.
18/240 = 24/x
We can now cross multiply.
18x = 5760.
x = 320 g
<span>Total mass of mixture is given as 5/6 pound, in which 1/4 pound is gravel. Amount of sand in the mixture will be 5/6 - 1/4 = 7/12
So, the ratio of sand to that of gravel in given mixture is 7/12:1/4 = 7:3. i.e every 10
parts of mixture contain 7 parts of sand and 3 parts of gravel.
If we are given 1-pound of same mixture, it will contain 1 * 3/10 pound gravel, i.e. 0.3 pound.</span>
