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3 years ago

8

The school cafeteria serves pizza every sixth day and applesauce every eighth day. Suppose that pizza and applesauce are both on

today's menu. In how many days will they be together on the menu again?

1 answer:

beks73 [17]3 years ago

3 0

They will be served again on the same day in 48 days

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If 1cm represents 5m, what would be an area of 6 square cm. represent?

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Answer:

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Step-by-step explanation:

Given 1 cm represents 5 m

⟹1 cm=5 m

given area =6 cm² =6×(5 m)² =6×25 m²

=150 m²

area of 6 cm² represents 150 m²

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

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Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

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<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

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