Answer:
cost per pound = $4.20
Step-by-step explanation:
Cheese cost per pound = ?
first for the cost per pound
cost per pound = total cost / pounds bought
cost per pound = $10.50 / 2.5 pounds
cost per pound = $4.20
to check the above answer is correct
cost per pound = total cost / pounds bought
cost per pound = $12.60 / 3 pounds
cost per pound = $4.20
Therefor, the cheese costs $4.20 per pound.
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
The answer is 3/8 because 3 out of the 8 don't have erasers.
Answer:
b= 9.17 ft
Step-by-step explanation:
The 4 feet from the wall is the bottom part of the triangle. The 10 ft. ladder is the hypotenuse of the triangle. Use the Pythagorean Theorem and substitute the known values.
a^2+b^2=c^2
4^2+b^2=10^2
Then square all the known values
16+b^2=100
Then get b by itself
b^2=-16+100
add -16 and 100
b^2=84
and finally square root both sides of the equation
b=9.16515 ft or 9.17 ft
The formula for volume is Length x Width x Height.
So when you apply this formula to these questions the answers should be:
#7. 3x4x2 = 24
#8. 2x4x1 = 8
#9. 3x4x2 = 24
#10. 4x3x1 = 12
I hope this helps!