Answer:
0.35865 and 0.35867
Step-by-step explanation:
for this number, the hundreths thousandths place is
0.358659 (bolded)
so, since the 9 rounds up, the estimated number would be 0.35866
the numbers before would be 0.35865 and after, 0.35867
Divide 10 each time.
300/10=30
30/10=3
3/10=0.3
0.3/10=0.03
0.03/10=0.003
etc.
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
Answer:
d. negative correlation
Step-by-step explanation:
Two variables are positive correlated when one goes up or down the other goes in the same direction and they are negative correlated when one goes up or down the other variable goes in the other direction.
In this case, the higher the temperature rises, the less snow. Therefore we have a negative correlation
If the given radius is 5 inches, then the circumference, C is 2pi r, or 2pi(5 inches) = 10pi inches. You MUST include pi in your calculation of C.
