Answer: At least 3
Step-by-step explanation:
Lets solve this problem by the pidgeon hole principle. Suppose that Matt pulls out 2 socks, if he gets a matching pair then he is done and that's it. But now suppose that he gets one black sock and one white sock, if he then pulls out a third sock it will be either white or black, in either case he would have gotten with a 100% certainty a matching pair, since he already has a black and a white sock. So the minimum number to ensure he gets a matching pair is 3 socks.
IT WOULD BE "D" I BELIEVE
HOPE IM RIGHT AND THIS HELPS
Answer:
Step-by-step explanation:
Hi there!
Since we are given the slope and the y-intercept of the line, we can very easily identify the equation of the line.
Slope-intercept:
y=mx+b
Plug in the values:
Thus, is the equation of the line.
Hope it helps! Enjoy your day!
~Just a teen willing to help others :)
Answer:
The growth rate is 0.6
The growth factor is 1.6
Step-by-step explanation:
Generally, the exponential equation can be written as;
y = a(1 + r)^x
Where a is the initial value of 100
r is the growth rate
So let us form equations;
160 = 100(1 + r)^1 •••••(i)
Also;
256 = 100(1 + r)^2 •••••••(ii)
Divide equation ii by i
256/160 = 1 + r
1.6 = 1 + r
r = 1.6-1
r = 0.6
Answer:
20 L of 22% solution and 8 L of 36% solution
Step-by-step explanation:
Volume of 22% solution + volume of 36% solution = volume of 26% solution
x + y = 28
Acid in 22% solution + acid in 36% solution = acid in 26% solution
0.22x + 0.36y = 0.26(28)
0.22x + 0.36y = 7.28
Solve the system of equations using either elimination or substitution. I'll use substitution:
x = 28 − y
0.22(28 − y) + 0.36y = 7.28
6.16 − 0.22y + 0.36y = 7.28
0.14y = 1.12
y = 8
x = 28 − y
x = 20
The chemist should use 20 L of 22% solution and 8 L of 36% solution.
