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zepelin [54]
3 years ago
6

A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5  

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0
If the waitress works x hours in the evening, according to the problem, she works x-1.75 hours in the afternoon. We have given that she works 5.125 hours in the afternoon, which is x-1.75=5.125. BY solving this equation, we find unknown x, which is equal to 6.87 hours and it is the answer to the problem.
patriot [66]3 years ago
3 0

Answer:

She worked 6\frac{7}{8}  hours in evening.

Step-by-step explanation:

Suppose, x be the hours waitress worked in evening,

Given,

She works 1.75 hours less in the afternoon than in the evening.

Thus, the number of hours she worked in afternoon = x - 1.75,

According to the question,

x-1.75 = 5\frac{1}{8}

x-\frac{175}{100}=\frac{41}{8}

x-\frac{7}{4}=\frac{41}{8}

x=\frac{41}{8}+\frac{7}{4}

x=\frac{41+14}{8}

x=\frac{55}{8}=6\frac{7}{8}

Therefore, she worked 6\frac{7}{8} hours in evening.

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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

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3 years ago
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Your answer would be:

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Angela had $22.70 to spend on groceries. After buying 8 pineapples, she had $3.50 left. If each pineapple was the same price, wh
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Answer:

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