Carl is having a party. He has bought 24 brownies and is making 6 more batches of brownies. The inequality 24+ 6b > 138 can b
1 answer:
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Answer:
A. $301
B. $721
Step-by-step explanation:
Let $x be the amount of money they raised.
Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then
Polly tried to put the $1 bills into three equal piles and found one left over at the end, then
Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then
Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then
This means is divisible by 2, 3, 4, 5 and 6 without remainder, so
Hence,
The smallest amount of money they could have raised is $301, because
is divisible by 7.
Now, the number should be divisible by 7 and must be greater than 500.
So,
When n = 9,
is not divisible by 7.
When n = 10,
is not divisible by 7.
When n = 11,
is not divisible by 7.
When n = 12,
is divisible by 7.
B. The least amount of money they could have raised is $721
Answer:
$0
Step-by-step explanation:
A part-time landscaper made $8996.32 last year.
She claimed herself as an exemption for $3650 and had a $5700 standard deduction
Exemption means not subject to taxation.
Deduction means taking some amount of your income for the year, and not have to pay taxes on it.
So,
Since Her income is lower than the exemption and the standard deduction.
So, her taxable income last year was $0.
Thus Option D is correct.
For this case we have the following equation:
Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:
Making the corresponding calculation:
Answer:
the approximate weight of the spring in pounds is:
Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:
Making the corresponding calculation:
Answer:
the approximate weight of the spring in pounds is: