researchers counted 8,912 monarch butterflies on one branch of a tree at a site in Mexico. They estimated that the total number of butterflies at the site was 1000 times as large. About how many butterflies were at the sitein all. Explain your thinking and include a statement of the solution.

Answers

Answer 1

Answer:

The total number of the butterflies are $\fbox{\bf8912000}$ .

Further explanation:

Given:

The number of monarch butterflies on one branch of a tree at a site in Mexico are 8912 and the total number of butterflies at the site are 1000 times as large.

Calculation:

Consider, the number of the butterflies on one branch of a tree at a site in Mexico as $x$ and total number of butterflies as $y$ .

Since, the total numbers of butterflies at the site are 1000 times the number of the butterflies on one branch of a tree at a site in Mexico.

The total number of butterflies $y$ can be written as follows:

$y=1000x$ …… (1)

Substitute 8912 for $x$ in equation (1).

$\begin{aligned}y&=1000\left( {8912}\right)\n&=8912000\n\end{aligned}$

Thus, the total numbers of the butterflies are $\fbox{\bf8912000}$ .

Learn more:

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

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2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12

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3. what are the domain and range of the function f(x) = 3x + 5?

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Answer Details :

Grade: Middle School .

Subject: Mathematics .

Chapter: linear equation.

Keywords:

Lines, equation, monarch butterfly, x=2y, function, substitution, Mexico, site, direct substitution, elimination, graph, middle term factorization, fraction.

Answer 2

Answer: Approximately 8,912,000 monarch butterflies were at the site. By using powers of 10, I can conclude that doing 8,912 x 1000 would mean adding three zeros to 8,912, making 8,912,000. So, 8,912,000 would be the logical estimate.

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Rename 120,000 = ten thousands

Answers

Stop at the ten thousands column - so it is equal to 12 ten thousands
Check: 12 x 10,000 = 120,000

Which statement describes every number that is a solution to the inequality 6t > 48?A) It has a value greater than 8
B) It has a value less than 8
C) It has a value equal to 8
D) Its value is 8 greater than 48

Answers

First let's show the work to prove if we are right:

$6t \geq 48 \n (6t)/(6) \geq (48)/(6) \n t \geq 8$ .

So, the answer is A) It has a value greater than 8.

I think the answer would be the 4th answer, letter D.

Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from the bag, record the color, and replace it. The table below shows the number of times in each set of trials that you drew a blue tile. Round tiles: 5 purple, 6 orange, 2 yellow, 4 red, 1 white, 10 blue, 5 black, 3 green. Trial 1 2 3 4 5 # of Draws 54 36 80 22 75 # of Blues 18 11 20 4 32 Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%). a. The theoretical probability is 2.78 percentage points greater than the experimental probability. b. The theoretical probability is 1.49 percentage points greater than the experimental probability. c. The experimental probability is 4.06 percentage points greater than the theoretical probability. d. The experimental probability is 2.17 percentage points greater than the theoretical probability.

Answers

The correct answer is (c) The experimental probability is 4.06 percentage points greater than the theoretical probability.

To compare the theoretical probability and the experimental probability of drawing a blue tile, we need to first calculate each one.

Theoretical probability of drawing a blue tile:

Total number of tiles = 5 + 6 + 2 + 4 + 1 + 10 + 5 + 3 = 36

Number of blue tiles = 10

Theoretical probability of drawing a blue tile = number of blue tiles / total number of tiles = 10 / 36 = 27.78%

Experimental probability of drawing a blue tile:

Number of draws in the five trials = 54 + 36 + 80 + 22 + 75 = 267

Number of blue tiles drawn in the five trials = 18 + 11 + 20 + 4 + 32 = 85

Experimental probability of drawing a blue tile = number of blue tiles drawn / number of draws = 85 / 267 = 31.84%

To compare the two probabilities, we subtract the experimental probability from the theoretical probability:

Theoretical probability - experimental probability = 27.78% - 31.84% = -4.06%

The result is negative, which means that the experimental probability is greater than the theoretical probability.

However, we need to express this difference as an absolute value (i.e., without the negative sign) and as a number of percentage points.

The absolute value of -4.06% is 4.06%, and this is the amount by which the experimental probability is greater than the theoretical probability.

For more details regarding probability, visit:

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Answer:

The experimental probability is 4.06 percentage points greater than the theoretical probability.

Step-by-step explanation:

Write a real word problem for equation x-75=200

Answers

Hm...

The total amount of oranges in a store is 200. The store loses 75 oranges each day, for some mysterious reasons. Find the number of oranges the store loses each week. Let x represent that number.

Kate forgot how many papers she bought from Staples. She used up 200 and she has 75, how many does she have in total.

A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red marble is 1 in 5. Yasmine returns the marble to the bag and adds ﬁve more red marbles to the bag. The probability that she takes one red marble at random is now 1 in 3. How many red marbles were originally in the bag?