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Nina [5.8K]
3 years ago
5

A square deck has a side length of x + 5. You are expanding the deck so that each side is four times as long as the side length

of the original deck. What is the area of the new deck? Write your answer in standard form.
a) Identify and write an expression for the new side length of the deck.

















b) Apply and write an expression for the area of the new deck.

















c) What is the standard form of the expression for the area of the new deck?

​
Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

The new Lenth is 4x + 20 or 4(x + 5)

The are of the new deck is 16(x² + 10x + 25)

Step-by-step explanation:

The original length of a deck is x + 5

If we do a 4 times expansion on it, we will have the new length to be

4(x + 5) = 4x + 20

The Area of the new square deck = area of square = Length²

Area = (4x + 20)²

= (4x + 20)(4x + 20)

= 16x² + 80x + 80x + 400

= 16x² + 160x + 400

= 16(x² + 10x + 25)

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umka2103 [35]

Answer:

13 flowers per arrangement

Step-by-step explanation:

8*4=32

10*2=20

8 tulips in each arrangement

5 daises in each arrangement

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3 0
3 years ago
A bag contains $3$ white chips and $3$ red chips. you repeatedly draw a chip at random from the bag. if it's white, you set it a
Natasha2012 [34]

Answer:

8.5

Step-by-step explanation:

We can divide this experiment in three parts.

  • Before removing any white chip
  • After ramoving one white chip, and before removing two
  • After removing two white chips

For the first experiment, for each extraction we will always have 3 white chips and 3 red chips, becuase if we extract a red chip, then we put it back in the bag, and if it is a white chip, then the experiment ends there. The probability of taking out a white chip is 1/2.

For the second experiment, we will have always 2 white chips, and 3 red chips. So the probability of success is 2/5 = 0.4

For the third experiment, we will have always 1 white chip and 3 red chips, so the probability of success if 1/4 = 0.25.

We want to know how many extractions we need for each experiment until we pick a white chip. Note that each experiment is independent of each other, and each one has geometric distribution, the first one with probability of success 0.5, the second one with probability of success 0.4, and the third one with p = 0.25.

The total experiment, X, is the sum of this random variables, so the expected value of the total experimet is the sum of the expected value from each of its parts, lets call them, X₁, X₂ and X₃. Thus,

E(X) = E(X_1) + E(X_2) + E(X_3) = \frac{1}{0.5}+\frac{1}{0.4} +\frac{1}{0.25} = 2 + 2.5 + 4 = 8.5

The expected number of draws is 8.5.

I hope i could help you!  

7 0
3 years ago
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Half of the students in an International School are Americans. One third of the remaining students are Europeans, and the rest a
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Answer:

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Let s = number of students

1/2 are Americans  1/2s are Americans

s -1/2s = number of students left

1/2 s = number of students left

1/3 of the students left are Europeans

1/3 (1/2s) = 1/6s  are Europeans

The rest are Australians = 150

Students = Americans + Europeans + Australians

   s          =   1/2s          +    1/6s    + 150

Combine like terms

s    = 1/2*3/3 *s + 1/6s +150

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s = 4/6s + 150

Subtract 4/6s from each side

s -4/6s = 150

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3 0
3 years ago
Read 2 more answers
What is the order of rotational symmetry for the figure
Naily [24]

Answer:

Order of symmetry = 1

Step-by-step explanation:

First of all we will define rotational symmetry.

Rotational symmetry is when a shape looks the same after some rotation or less than one rotation.

The order of rotational symmetry is how many times it matches the original shape during the rotation.

The given shape, when rotated will only have the shape like original shape after one complete rotation so the order of symmetry is one ..

5 0
3 years ago
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