A rectangular piece of land measures 32.1 m by 28.4 m what is the perimeter of the land

Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010 ? The population of Town C in

mart [117]

Yes, the population of Town C increased by at least 100 percent from the year 2000 to the year 2010

Statement 1: The population of Town C in 2000 was 2/3 of the population in 2005

This tells us the population change from 2000 to 2005 since we need to know the population change from 2000 to 2010, this statement is not sufficient.

Statement 2: The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.

Since statement 2 provides no information about the population change from 2000 to 2005, there is no to answer this question with certainty. thus, statement 2 is not sufficient

Statement 1 and Statement 2 combined:

Let X= the population in 2000

Let Y= the population in 2005

Let Z= the population in 2010

From statement 1, we can write: X= $\frac{2}{3}$ Y

Multiply both sides by 3 to get $3X=2Y$

Divide both sides by 2 to get $\frac{3}{2}X=Y$

=> $Y=1.5X$

As per statement 2, let's first determine the increase in the number of people from 2000 to 2005

If $Y=1.5X$ , we know

X= the population in 2000

1.5X= the population in 2005

$1.5X-X=0.5X$

So, the population increased $0.5X$ from 2000 to 2005

So, from 2005 to 2010, the population increased at least 0.5X

1.5X= the population in 2005

$1.5X+0.5X=2.0X$

So, the population in 2010 was at least 2.0X

In other words, the population at least doubled from 2000 to 2010

So, the answer to the target question is yes, the population of Town C increased by at least 100 percent from the year 2000 to the year 2010

Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010?

(1) The population of Town C in 2000 was 2/3 of the population in 2005.

(2) The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.

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3 0

2 years ago

The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d

Nezavi [6.7K]

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

$M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6$

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

$M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53$

The average spent at his competitor's store is of $48.53.

8 0

3 years ago

2) Bobby makes model train sets. Each set requires 1,998 pieces of track. At the Hobby store, there are 37 pieces in each box. a

eimsori [14]

Answer:

You never gave the speed of the blue train. The path to collision is equal to 1½ circles. 1.5 x 210 meters = 315 meters I'm going to arbitrarily guess the speed of the blue train is 15 meters per minute. They are therefore approaching each other at a combined rate of 35 meters per minute. 315 / 35 = 9 minutes Answer: 9 minutes

Step-by-step explanation:

5 0

3 years ago

Express 5×-4y=20 in the form a×+by+c=0and write the value of a,band c

finlep [7]

Answer:

a = 5

b = -4

c = -20

Step-by-step explanation:

Here, we want to express the given equation in the following form;

So we can have this as;

5x-4y-20 = 0

That means we have;

a as 5

b as -4

and c as -20

4 0

3 years ago

Which of the following is equal to the expression below? (160x243)^1/5

Kipish [7]

160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)

3 0

4 years ago

A rectangular piece of land measures 32.1 m by 28.4 m what is the perimeter of the land​

A rectangular piece of land measures 32.1 m by 28.4 m what is the perimeter of the land