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3 years ago

11

An ice cream factory makes 170 quarts of ice cream in 2 hours how many quarts could be made in 36 hours what was that rate per d

ay ?

1 answer:

Katyanochek1 [597]3 years ago

8 0

170 quarts/2 hours = 85 quarts/hour

85 quarts/hour * 36 hours = 3060 quarts

85 quarts/hour * 24 hours = 2040 quarts

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Leona has a bag containing letter tiles which describes dependent events?

vladimir1956 [14]

Answer:

letter tiles

Step-by-step explanation:

8 0

3 years ago

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the populatio

Maksim231197 [3]

Answer:

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that $P_{0} = 1.65, P(3) = 1.74$

Applying this to the equation, we find r. So

$P(t) = P_{0}e^{rt}$

$1.74 = 1.65e^{3r}$

$e^{3r} = \frac{1.74}{1.65}$

$e^{3r} = 1.0545$

Applying ln to both sides

$\ln{e^{3r}} = \ln{1.0545}$

$3r = \ln{1.0545}$

$r = \frac{\ln{1.0545}}{3}$

$r = 0.0177$

So

$P(t) = 1.65e^{0.0177t}$

What would be the population of the city 5 years after the start of the population study?

This is P(5).

$P(t) = 1.65e^{0.0177t}$

$P(5) = 1.65e^{0.0177*5}$

$P(5) = 1.8027$

So the correct answer is:

C. 1.8027

6 0

3 years ago

Is This Answer Correct (A)

mars1129 [50]

Answer:

The answer is option C.

(1 ,4)

Step-by-step explanation:

Transformation in 90° clockwise is

( x , y ) → ( y , - x)

So J

( - 4 , 1) → ( 1 ,4)

Hope this helps you

7 0

3 years ago

Ali opened a saving account with 500$. After 2 years the total interest he earned was 10$. What was the annual interest rate?

Ad libitum [116K]

Answer:

1 percent

Step-by-step explanation:

1 percent of 500 is 5 5 times 2 is 10

6 0

3 years ago

An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How

AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = $C$ days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 $C$ days

Time taken working together = 2 days

Work done in one day working together = $\frac{1}{2}$

Work done in one day by Carpenter working alone = $\frac{1}{C}$

Work done in one day by apprentice working alone = $\frac{1}{2C}$

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = $\frac{1}{C}$ + $\frac{1}{2C}$ = Work done in one day working together = $\frac{1}{2}$

$\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days$

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 $\times$ 2= <em>6 days</em>

4 0

3 years ago