Answer:
63.5 in
Step-by-step explanation:
y2-y1/x2-x1
28.5-21/2.5-1 = 5
y=mx+b
21=5(1)+b
21-5= 16
b=16
y=mx+b
y=5(9.5) + 16
=63.5
4 because 48 divided 2 equals 24 adn 24 divided by 6 equals 4
1 whole, 1 tenth, 10 ones = 12 tenths
Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
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The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
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The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
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The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
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We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
Answer:
1/6
Step-by-step explanation:
As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:
purple result + yellow result = 7
6 + yellow result = 7
yellow result = 1
So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6
