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2 years ago

21. The population density of the city of

1 answer:

4 0

Using proportions, it is found that the population density of Morrison is of 10,000 people per square mile.

<h3>Proportions and density:</h3>

For Wellington, the density is of 12,000 people per square mile.

In Morrison, it is dilation with scale factor of 1.2. Dilation means that the density is smaller, and the factor of 1.2 means that it's population density is that of Wellington divided by 1.2.

Hence:

$\frac{12000}{1.2} = 10000$

The population density of Morrison is of 10,000 people per square mile.

To learn more about proportions, you can take a look at brainly.com/question/24372153

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Answer:

7/8

Step-by-step explanation:

add all the popsicles together and subtract the number of blue from the total and put that number over the total and simplify

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3 years ago

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Can someone explain this and help me with the answer?

GenaCL600 [577]

Answer:

Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality

Step-by-step explanation:

First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.

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3 years ago

Two brothers want to share a large field equally.

Elan Coil [88]

Yes, the partition gives the two brothers equal shares.

Step-by-step explanation:

Step 1:

Assume the entire field has an area of B. So one brother takes $\frac{1}{12} B$ , $\frac{1}{6}B$ , and $\frac{1}{4} B$

So we need to calculate how much this brother takes in terms of B.

To do this we calculate how much $\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B$ is.

Step 2:

To add $\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B$ ,

First take the LCM of the denominators 12, 6, and 4

The LCM is 12, we multiply the denominator to get the LCM value, this same value is multiplied to the numerator too.

$\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B = \frac{1(1)}{12(1)} B + \frac{1(2)}{6(2)} B + \frac{1(3)}{4(3)} B \\\\\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B= \frac{1B +2B+3B}{12} = \frac{B}{2}$

Step 3:

One brother gets $\frac{1}{2} B$ , so we need to calculate how much the other brother gets.

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3 years ago

You draw a card at random from a standard deck of 52 cards. Find the following conditional probabilities: a.) The probability th

Levart [38]

Answer:

a.) 1/2 or 50%

b.) 1/1 or 100%

c.) 1/13 or 7.69%

d.) 1/3 or 33.33%

Step-by-step explanation:

a.) The probability that a card is a heart, given that it is red?

There are four suits in a deck, two of which are red: hearts and diamonds. Since the number of hearts and diamonds is the same, the probability of the card being a heart, given that it is red is 1/2 or 50%.

b.) The probability that a card is red, given that it is a heart?

All hearts are red cards, therefore, given the card is a heart, there is a 1/1 or 100% probability that it is red.

c.) The probability that a card is a king, given that it is red?

There are 26 red cards, 2 of which are kings. Therefore, the probability of a card being a king, given that it is red is 1/13 or 7.69%.

d.) The probability is a queen, given that it is a face card?

There are 12 face cards in a deck, 4 of which are queens. Therefore, the probability of a card being a queen, given that it is a face card is 4/12 or 1/3 or 33.33%.

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4 years ago

Enter the decimal equivalent of 6/8

ikadub [295]

Answer:

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Step-by-step explanation:

6/8 can be simplified to 3/4, if that helps.

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3 years ago