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3 years ago

Quick anyone know the answer?

Mathematics

1 answer:

den301095 [7]3 years ago

8 0

The sum of the measures of angles in all quadrangles is 360 °. Therefore:

$(25x+1)+(25x-2)+(20x-1)+82=360\\\\70x+80=360\ \ \ |-80\\\\70x=280\ \ \ |:70\\\\x=4$

$m\angle D=(20x-1)^o\to m\angle D=(20\cdot4-1)^o=79^o\\\\Answer:\ B.\ 79^o$

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Determine the data range of the data set.

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3 years ago

The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

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$r^{4} = \frac{1700}{1200}$

$r^{4} = \frac{17}{12}$

$r = \sqrt[4]{\frac{17}{12} }$

$r \approx 1.091$

The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

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3 years ago

There are less than 200 apples in a box. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples c

Sedaia [141]

Answer:

<u>There can be 180 apples in that box.</u>

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Number of apples in a box < 200

2. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples can be in that box?

The answer is that the number of apples that can be in the box is the highest multiple of 2, 3, 4, 5, and 6 that is close to 200.

The common multiples for this set of numbers are 60, 120, 180, 240, 300 and so on with 60 as the constant.

Therefore, the highest number that is multiple for this set of numbers and at the same time lower than 200 is 180.

<u>There can be 180 apples in that box.</u>

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3 years ago

If you go out to eat, a good tip is $18 when the bill costs $100. What is this percent?

dlinn [17]

Answer:

This is a good tip and $18 is 18% of what the meal cost.

Step-by-step explanation:

On average the proper tip is 15% of the cost of your meal cost. In this case you have paid 18% of your meal cost.

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3 years ago

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