Megan and Heidi are making cookies for an upcoming bake sale. Megan is making chocolate chip cookies and Heidi is making sugar c
1 answer:
Answer:
Heidi (260 cookies)
Step-by-step explanation:
Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:
#First calculate Heidi's total number of bags, cookies and cookies:
#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:
Hence, Megan makes 416 cookies.
#From our calculations:
Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.
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Answer:
Between 1000 and 5000 snowboards will make the function AP(x) >0.
Step-by-step explanation:
Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.
In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.
P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:
Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:
- P(0) = -5 < 0 ( P is negative in (-∞ , 1) )
- P(2) = -4+6*2-5 = 3 > 0 (P is positive in (1,5) )
- P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )
The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)
Answer:
Chan's Bonus amount was $2400.
Step-by-step explanation:
Let the Total amount receive from bonus be 'x'.
Given:
Chan pays 30% in taxes;
So we can say;
Amount paid in taxes will be equal to 30% of total amount receive
framing in equation form we get;
Amount paid in taxes =
Now Given:
Chan pays 30% in Charity;
So we can say;
Amount paid in charity will be equal to 30% of total amount receive.
framing in equation form we get;
Amount paid in Charity =
Also Given:
Chan pays 30% in old debts;
So we can say;
Amount paid in Old debts will be equal 30% of total amount receive
framing in equation form we get;
Amount paid in Old debts =
Money left with him = $600
Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.
framing in equation form we get;
Hence Chan's Bonus amount was $2400.